Download Math_30_Unit_4_p151-200

Unit 4 Pre-algebra
Set1
-5(6x+4)=40
-2(-2x-3)=26
3(-4x-6)=-66
-6(5x+6)=-126
5(2x-4)=20
3(-2x+2)=-12
-6(-2x+5)=-54
-3(-4x-6)=54
3(-6x-2)=102
6(2x-6)=-96
-5(3x-4)=-40
2(4x+4)=40
-2(-6x-3)=-30
1
2
3
4
5
6
7
8
9
10
11
12
13
Ans
Set2
-5(-4x+2)=70
-3(-4x-4)=-12
-2(-5x+6)=18
-2(-5x-6)=-18
-5(-5x-6)=-95
-3(3x+4)=42
-3(3x-4)=-42
-2(-3x+4)=22
-6(-3x-6)=0
2(5x-5)=-30
-2(2x+2)=12
3(-5x+5)=-60
-5(6x+6)=-180
Ans
Set1
-2
5
4
3
4
3
-2
3
-6
-5
4
4
-3
Set2
4
-2
3
-3
-5
-6
6
5
-2
-2
-4
5
5
Solve
Move
Combine
Set1
Ans
Ans
1 -5X+0=-37+40X
-11X+5+23X=-44
2
-9X+7=34-55X
-4X-9-31X=24
3
3X+2=45-31X
7X+18-51X=-43
4 10X+24=-31-30X
5X-16-34X=-31
5 5X+19=-26+27X
11X+18+53X=32
6 8X+23=-47+53X
2X-20+22X=-48
7
-7X+3=34-48X
2X+11-18X=-22
8 -3X+18=47-50X
6X-14+34X=-23
9 10X+3=54+18X
2X-15-35X=19
10 9X+1=47+49X
11X+18+53X=-53
11 3X-4=-40-45X
10X-25+37X=-18
12 8X-11=-49-37X
-2X+17-30X=-24
151
Set1
-37/-45
27/46
43/34
-55/40
-45/-22
-70/-45
31/41
29/47
51/-8
46/-40
-36/48
-38/45
-4
1
-1
2
-1
-1
1
Set2
1/12
33/35
17/44
15/29
7/32
1/6
1/16
9/40
1/33
7/64
7/47
9/32
Solve
1
x
+1 = -8
8
x
+7 = 6
7
x
+2 = -4
5
-72
-7 -30
2
x
+1 = -2
6
x
+2 = -2
2
x
8
-3 = -8
-18
-8 -40
3
x
+8 = 1
6
x
+7 = -7
7
x
5
-3 = 4
4
x
+5 = 1
6
x
-2 = -5
8
x
+5 = -4
8
1
x
+
5
x
4
= -3
x
x
+
6
2
=1
-20
3
6
4
2
x
2
x
9
= -3
x
x
+
2
5
=5
-54
7
50
7
3
x
+
7
x
6
= -5
x
x
3
5
= -7
-210
13
-105
2
4
x
2
x
4
=2
x
x
7
9
=6
8
189
4
x
+
4
x
6
=7
x
x
4
6
=2
84
5
24
6
x
2
x
9
= -5
x
x
+
3
4
= -4
-90
7
-48
7
152
-42 -98 35
-24 -24 -72
Solve the following word problems
15 more than 3 times a number has a result of
10
30 less than
22
5 times a number has a result of
18 more than 5 times, a number plus 5 is
The
sum of
2 and a number multiplied by 2 is
146
100
21 more than 3 times a number has a result of
15
33 less than
23
3 times a number has a result of
18 more than 5 times, a number plus 4 is
The
sum of
4 and a number multiplied by 4 is
157
147
12 more than 3 times a number has a result of
18
24 less than
31
3 times a number has a result of
18 more than 2 times, a number plus 6 is
153
108
Simplify write all variable with a single exponent
Ans
1
(-2 x2 )(-4 x2 )
2
-7 x8
-21 x2
3
4
(5 x2 )(3 x2 )
8 x2
3 x9
(3 x2 )(-2 x2 )
-4 x5
-10 x2
(3 x2 )(-2 x2 )
20 x5
3 x2
5
(4 x2 )(-4 x2 )
(-3 x2 )(-2 x2 )
6
16 x5
18 x9
15 x5
-16 x6
7
(-5 x2 )(2 x2 )
(-3 x2 )(4 x2 )
8
14 x5
-15 x2
9 x9
-16 x4
154
8 x4
-6 x4
x6
x3
15 x4
-6 x4
1
x7
x3
-16 x4
6 x4
1
x4
1
x
-10 x4
-12 x4
x3
x5
Given x find y, intercept and graph
1
2
3
4
5
6
7
8
9
X
y=-10X+3
y=7X+9
y=10X-2
y=7X-9
y=11X-5
y=3X-6
y=11X+4
y=-10X-2
y=-8X-2
3 2 1 0 -1 -2 -3
3
-27
30
28
12
28
3
37
-32
-26
2
-17
23
18
5
17
0
26
-22
-18
1
-7
16
8
-2
6
-3
15
-12
-10
0 -1 -2 -3
3 13 23 33
9
2 -5 -12
-2 -12 -22 -32
-9 -16 -23 -30
-5 -16 -27 -38
-6 -9 -12 -15
4 -7 -18 -29
-2 8 18 28
-2 6 14 22
Set up and solve the following word problems
23 more than 5 times a number has a result of
26
16 less than
26
2 times a number has a result of
18 more than 3 times, a number plus 4 is
The
sum of
5 and a number multiplied by 6 is
90
100
10 more than 2 times a number has a result of
26
19 less than
10
3 times a number has a result of
18 more than 5 times, a number plus 5 is
155
165
Multiply-rewrite to make calculations easier
1
13 x 18 + 31
6 x 17 + 17
15 x 22 + 34
265 119 364
2
20 x 22 + 32
17 x 15 + 25
9 x 18 + 28
472 280 190
3
19 x 18 + 34
4 x 19 + 16
17 x 16 + 36
376 92 308
4
7 x 14 + 18
16 x 13 + 25
20 x 22 + 33
116 233 473
5
8 x 20 + 31
18 x 11 + 15
11 x 13 + 20
191 213 163
6
8 x 25 + 19
15 x 25 + 24
12 x 26 + 28
219 399 340
7
16 x 19 + 26
8 x 18 + 15
6 x 19 + 17
330 159 131
8
14 x 14 + 19
6 x 16 + 36
14 x 22 + 27
215 132 335
9
19 x 13 + 27
8 x 14 + 26
8 x 24 + 24
274 138 216
10
10 x 18 + 35
18 x 22 + 36
5 x 11 + 15
215 432 70
11
14 x 19 + 23
13 x 13 + 27
4 x 16 + 16
289 196 80
12
19 x 24 + 29
14 x 13 + 21
16 x 19 + 36
485 203 340
5
16 x 26 + 21
13 x 13 + 31
17 x 25 + 21
437 200 446
156
Set up and solve word problems
The sum of two consecutive odd integers is
328
163
165
The sum of two consecutive even integers is
190
94
96
The sum of two consecutive integers is
-293
-147
-146
The sum of two consecutive even integers is
-302
-152
-150
The sum of two consecutive odd integers is
200
99
101
The sum of two consecutive even integers is
166
82
84
The sum of two consecutive odd integers is
-128
-65
-63
1st
2nd
3rd
The sum of three consecutive integers is
321
106
107
108
The sum of three consecutive integers is
480
159
160
161
The sum of three consecutive even integers is
240
78
80
82
The sum of three consecutive integers is
435
144
145
146
-264
-90
-88
-86
The sum of three consecutive even integers is
157
Solve
1
3x
-7 = 7
4
6x
5
2
4
X +2 = -1
6
-5x
+4 = -2
6
3
4x
-6 = -4
3
-6x
-2 = -3
6
-3x
+1 = -3
8
4
8
X +3 = 1
6
6x
6
-7 = 8
-4
X +8 = -6
2
5
6x
-7 = -7
3
-1x
8
-4 = 8
4x
-7 = -3
8
6
-6
X +6 = -3
8
-3x
+2 = -6
4
1
X-3 = 8
2
12 -32 22
-3
7
6x
-8 = 4
7
3x
3
-8 = -7
7x
-6 = -6
4
14
1
0
6x
8
+6 = -2
-6x
-3 = -1
2
6 -64
-5 6
4
-6
8 -5x
-7 = -6
6
-1x
+4 = 8
2
+7 = 5
3
X +2 = 8
4
158
56 -10
3 6
-8
-18 -36
4 -5
8
6
4
1 -32
-3
-12 15
8
7
0 -96
8
Set up and solve word problems
If 7 out of 14 people like coffee,
In a group of
56 how many will like coffee?
If 2 out of 17 apples are rotten, in
a bag of
51 how many apples will be rotten?
If 3 out of 11 people eat breakfast,
In a group of
55 how many will have eaten breakfast?
15
If 5 out of 21 apples are rotten, in
a bag of
84 how many apples will be rotten?
20
If 3 out of
In a group of
25 how many will like bananas?
15
If 4 out of 22 apples are rotten, in
a bag of
66 how many apples will be rotten?
12
If 7 out of 13 people like steak,
In a group of
65 how many will like steak?
35
If 4 out of 21 apples are rotten, in
a bag of
If 8 out of 14 people like coffee,
In a group of
42 how many will like coffee?
24
If 4 out of 24 oranges are rotten, in
a bag of
96 how many oranges will be rotten?
16
If 7 out of 10 people like coffee,
In a group of
36 how many will like coffee?
If 3 out of 23 apples are rotten, in
a bag of
34 how many apples will be rotten?
If 8 out of 13 people eat breakfast,
In a group of
33 how many will have eaten breakfast?
If 3 out of 19 apples are rotten, in
a bag of
28 how many apples will be rotten?
If 3 out of
In a group of
18 how many will like bananas?
If 4 out of 20 apples are rotten, in
a bag of
34 how many apples will be rotten?
6.8
If 8 out of 14 people like steak,
In a group of
16 how many will like steak?
9.1
If 4 out of 20 apples are rotten, in
a bag of
44 how many apples will be rotten?
8.8
If 8 out of 10 people like coffee,
In a group of
34 how many will like coffee?
5 people like bananas,
5 people like bananas,
105 how many apples will be rotten?
159
28
6
20
25.2
4.4
20.3
4.4
10.8
27.2
Simplify write all variable with a single exponent
1
2
(5 x2 )(5 x2 )
5 x8
6 x2
(-3 x2 )(2 x2 )
6 x5
-4 x2
3
(-2 x2 )(3 x2 )
(2 x2 )(5 x2 )
4
17 x2
-14 x9
-5 x5
14 x2
5
(-3 x2 )(2 x2 )
(-5 x2 )(5 x2 )
6
-21 x5
16 x9
3 x5
-6 x6
25 x4
-6 x4
x6
x3
-6 x4
10 x4
1
x7
x3
-6 x4
-25 x4
1
x4
7
(3 x2 )(-4 x2 )
(-2 x2 )(3 x2 )
8
15 x5
17 x2
10 x9
14 x4
9
(3 x2 )(5 x2 )
(4 x2 )(-2 x2 )
160
1
x
-12 x4
-6 x4
x3
x5
15 x4
-8 x4
Set up and solve the following word problems
34 more than 2 times a number has a result of
32
-1
16 less than
15
10 1/3
97
33 1/2
5 and a number multiplied by 6 is 192
31 1/6
3 times a number has a result of
18 more than 3 times, a number plus 4 is
The
sum of
28 more than 4 times a number has a result of
14
-3 1/2
12 less than
26
12 2/3
3 times a number has a result of
18 more than 2 times, a number plus 6 is
The
sum of
186
39
4 and a number multiplied by 3 is 187
61
21 more than 5 times a number has a result of
25
30 less than
15
5 times a number has a result of
18 more than 5 times, a number plus 6 is
The
sum of
2 and a number multiplied by 3 is
161
182
98
4/5
9
26 4/5
32
Given x or y find corresponding x or y coordinate and graph
Set1
y+3=6(x-3)
y+5=6(x-4)
y+6=-3(x+4)
y+3=-2(x-3)
y+3=-6(x-6)
y-5=3(x+4)
y+4=-3(x-6)
y-3=2(x-2)
y-4=6(x-3)
y-3=-3(x+2)
y+4=3(x-3)
y+4=5(x+2)
y-3=6(x-5)
x -1
y
-1
x -2
y
-2
x -3
y
-1
x -1
y
-3
x -2
y
1
x 1
y
3
x 1
y
2
x 1
y
-3
x -2
y
2
x 1
y
3
x 2
y
-3
x 3
y
-2
x -2
y
-2
-3
x
y
-1
-27
-1
-27
18/6
-3
2
x
y
-2
-41
-2
-41
31/6
2
-3
x
y
-3
-9
-1
-15
15/-3
-3
-3
x
y
-1
5
-3
9
-6/-2
-3
-3
x
y
-2
45
1
27
-36/-6
-3
1
x
y
1
20
3
26
-16/3
1
-2
x
y
1
11
2
8
-16/-3
-2
3
x
y
1
1
-3
-7
4/2
3
3
x
y
-2
-26
2
-2
17/6
3
2
x
y
1
-6
3
-12
5/-3
2
-3
x
y
2
-7
-3
-22
10/3
-3
2
x
y
3
21
-2
-4
-4/5
2
-2
x
y
-2
-39
-2
-39
25/6
-2
162
Find x and y
1
2
3
4
5
6
7
8
y=
5
X -2
6
x
y
-5
-2
-1
1
y=
-3
X -3
4
x
y
4
7
10
12
y=
-1
X+4
2
x
y
3
6
9
10
y=
4
X+4
5
x
y
-2
-1
1
3
y=
3
X -2
4
x
y
-3
0
1
3
y=
-2
X+4
3
x
y
-3
-1
2
5
y=
-1
X+1
2
x
y
5
7
10
12
y=
6
X+1
7
x
y
-5
-3
0
2
P ick your own x-values for 7 and 8
7
2
x
y=
X+5
3
y
8
y=
4
X+2
5
x
y
163
y=
-1
X+3
2
x
y
-2
0
1
3
y=
-5
X+1
6
x
y
3
5
6
9
y=
-5
X+4
6
x
y
4
7
10
11
y=
-2
X -6
3
x
y
-4
-3
-1
0
y=
6
X -3
7
x
y
1
3
4
5
y=
-3
X+6
4
x
y
4
5
8
10
y=
4
X -4
5
x
y
3
5
7
10
y=
-2
X -3
3
x
y
1
3
6
8
y=
5
X+6
6
x
y
y=
-4
X+3
5
x
y
Add the following:
1
2
+
4
3
2
3
+
2
3
4
2
+
2
3
4
8
4
9
4
7
4
2
2
+
3
3
3
2
+
2
2
4
3
+
2
2
2
5
3
6
4
5
2
3
3
+
2
2
2
2
+
3
2
6
1
+
5
2
6
5
2
6
6
16
30
4
26
12
+
3
4
33
26
+
9
5
16
23
+
5
9
140
12
399
45
259
45
5
22
14
+
4
3
27
14
+
5
6
29
17
+
7
5
122
12
232
30
264
35
6
25
14
+
5
2
19
16
+
6
3
12
18
+
3
6
120
10
51
6
e
Set1
3 (x+2)=15
6
Set1
3 (2x+4)=18
4
2 (x+5)=16
3
28
10
2 (3x+5)=16
4
19
9
3 (x+4)=15
2
2 (4x+1)=10
2
6
9
4
4 (x+4)=20
5
6 (4x+7)=66
6
21
59
4
164
42
6 Solv
Set up and solve word problems below
The sum of two consecutive even integers is
418
208
210
-361
-181
-180
The sum of three consecutive odd integers is
195
63
65
67
The sum of three consecutive odd integers is
507
167
169
171
The sum of three consecutive integers is
-606
-203
-202 -201
The sum of three consecutive integers is
-453
-152
-151 -150
The sum of two consecutive integers is
Solve equations
1
x
+
7
x
5
= -8
x
x
= -3
6
10
2
x
5
x
8
=7
x
x
2
9
3
x
4
x
9
= -7
4
x
+
2
x
5
4
x
+
7
6
x
2
-140
6
-45
=1
280
3
18
7
x
x
6
7
= -4
-252
5
-168
=6
x
x
+
4
7
=2
60
7
56
11
x
3
=2
x
x
7
9
= -4
21
5
-126
x
4
= -7
x
x
= -2
7
12
-28
-168
5
165
Set up and solve the word problems below
26 more than 2 times a number has a result of
15
18 less than
14
4 times a number has a result of
18 more than 2 times, a number plus 5 is
The
sum of
182
5 and a number multiplied by 6 is
174
25 more than 5 times a number has a result of
12
21 less than
26
5 times a number has a result of
18 more than 3 times, a number plus 4 is
The
sum of
176
2 and a number multiplied by 4 is
140
11 more than 3 times a number has a result of
20
24 less than
30
4 times a number has a result of
18 more than 4 times, a number plus 2 is
101
166
Set up and solve the word problems below
If 2 out of
6 people like coffee,
In a group of
30 how many will like coffee?
If 2 out of 19 apples are rotten, in
a bag of
76 how many apples will be rotten?
If 7 out of
In a group of
45 how many will have eaten breakfast?
9 people eat breakfast,
8
35
20
If 4 out of 25 apples are rotten, in
a bag of
If 6 out of 14 people like coffee,
In a group of
38 how many will like coffee?
If 3 out of 24 apples are rotten, in
a bag of
47 how many apples will be rotten?
5.9
If 4 out of
In a group of
14 how many will have eaten breakfast?
9.3
If 2 out of 17 apples are rotten, in
a bag of
37 how many apples will be rotten?
4.4
If 2 out of
In a group of
13 how many will like bananas?
3.7
6 people eat breakfast,
7 people like bananas,
125 how many apples will be rotten?
10
167
16.3
Evaluate
X
-5
2
3
4
3
6
-4
1
7
-5
2
3
4
3
6
-4
1
7
1
-6X+7
22
10
4
4
31
1
-35
2
5X+8
-9
2
47
4
63
6
-12
13
43
3
10X+10
-15
70
4
90
6
-30
20
80
4
8X+9
-11
15
78
6
-23
17
65
5
-9X+7
59
2
1
4
15
6
43
-2
-56
Solve
Set1
Ans
Set2
Ans
set 1
set 2
|X+5|=7
|X+60|=51
{2 , -12}
-9
,
-111
|X+6|=3
|X+22|=60
{-3 , -9}
38
,
-82
|X+10|=19
|X+5|=8
{9 , -29}
3
,
-13
|X+9|=7
|X+12|=75
{-2 , -16}
63
,
-87
|X+7|=10
|X+16|=37
{3 , -17}
21
,
-53
|X+2|=1
|X+23|=28
{-1 , -3}
5
,
-51
168
Find ordered pairs and graph
Pick any values for x
1
2
3
4
y =
-2
X+3
3
x
y
y =
5
X -6
6
x
y
y =
-1
X -4
2
x
y
y =
6
X -3
7
x
y
y =
-5
X+5
6
x
y
y =
-3
X+4
4
x
y
y =
-5
X -3
6
x
y
y =
-6
X+6
7
x
y
5 6x + 3y = -2
x
y
5x -1y = 5
x
y
6 5x + 4y = -5
x
y
4x + 6y = -2
x
y
7
1x -6y = 5
x
y
-5x -3y = -4
x
y
8 -6x -3y = -5
x
y
-1x + 1y = -1
x
y
9
Pick any values for y
10
y+1=
2
(X - 2)
3
x
y
y-1=
-1
x
(X + 2)
2
y
y+4=
-4
(X + 3)
5
x
y
y-4=
4
x
(X + 1)
5
y
169
Solve
1
-2x
5
-7 = -6
8x
6
-3 = 8
25
-2
1
66
8
2
-7x
+5 = -3
8
-7x
-3 = -7
8
7x
8
+8 = 2
-64
-7
-32
-7
-48
7
3
2x
+2 = -5
4
4x
3
-6 = 7
5x
4
+4 = -3
-14
39
4
-28
5
4
-8x
-2 = -4
4
4x
7
-7 = -5
8x
4
+5 = 7
1
14
4
1
5
4x
+2 = -2
5
-6x
-5 = -5
7
8x
2
+5 = 1
-5
0
-1
6
3x
4
-7 = -2
-8x
+4 = -3
8
-7x
5
-7 = 8
20
3
7
75
-7
7
4x
2
+4 = 8
8x
5
+1 = -5
2x
2
+6 = -2
2
-30
8
-8
8
8x
7
-7 = -2
4x
6
-5 = 5
-5x
+4 = -7
4
35
8
15
-44
-5
-1 = 4
2x
2
170
Find x and y and graph
Pick any values for x
1
2
3
4
5
y =
6
X+2
7
x
y
y =
-4
X -4
5
x
y
y =
-2
X -4
3
x
y
y =
5
X -3
6
x
y
y =
2
X+5
3
x
y
y =
-1
X+1
2
x
y
y =
4
X -1
5
x
y
y =
-2
X -5
3
x
y
-1x -2y = 1
x
y
-6x -4y = 6
x
y
2x + 3y = 4
x
y
-6x -5y = -4
x
y
7 -3x + 3y = -3
x
y
1x -5y = -3
x
y
8
x
y
5x -3y = -2
x
y
Pick any values for y
6
9
10
5x -5y = 1
y+5=
-5
(X + 2)
6
x
y
y-6=
-1
x
(X + 6)
2
y
y+2=
3
(X - 5)
4
x
y
y+4=
6
x
(X - 3)
7
y
171
Solve
1
8x
6
+6 = -4
-5x
4
-4 = 1
6x
5
-8 = 5
-60
8
-4
65
6
2
3x
5
+6 = -5
-4x
+2 = -4
3
-1x
5
-1 = -1
-55
3
-18
-4
0
3
-7x
5
-3 = 3
4x
5
+1 = 2
4x
2
+4 = 2
30
-7
5
4
-1
4
-8x
3
-8 = 5
-5x
7
-2 = 4
4x
7
-3 = 3
39
-8
42
-5
42
4
5
5x
8
+8 = 7
-1x
8
+3 = 4
-5x
3
-6 = 3
-8
5
-8
27
-5
6
-2x
4
-8 = -7
-5x
3
-1 = 6
5x
6
-8 = 6
-2
21
-5
84
5
7
-3x
7
-3 = -2
-8x
8
-4 = 5
2x
4
-5 = -8
7
-3
-9
-6
8
7x
3
+3 = -1
8x
6
-1 = -6
-3x
8
-2 = 7
-12
7
-30
8
-24
172
Add the following:
1
1
+
5
3
2
2
+
2
2
4
2
+
2
3
6
17
10
6
4
9
6
2
2
+
3
3
6
1
+
6
3
5
2
+
2
1
4
7
6
23
30
5
4
3
3
+
5
2
5
3
+
2
2
3
1
+
6
3
4
5
5
13
6
11
12
4
33
16
+
9
5
21
16
+
4
4
26
26
+
2
2
309
45
37
4
52
2
5
15
13
+
5
4
20
20
+
9
9
15
16
+
3
3
125
20
40
9
31
3
6
17
21
+
5
5
16
13
+
3
3
21
21
+
4
6
38
5
29
3
105
12
173
Multiply-rewrite to make calculations easier
1
4 x 20 + 24
10 x 23 + 14
13 x 24 + 23
104 244 335
2
19 x 20 + 14
7 x 12 + 35
16 x 23 + 27
394 119 395
3
14 x 22 + 30
3 x 17 + 19
10 x 15 + 26
338 70 176
4
14 x 23 + 21
5 x 18 + 24
12 x 25 + 24
343 114 324
5
9 x 11 + 23
10 x 21 + 23
8 x 17 + 30
122 233 166
6
19 x 22 + 32
8 x 13 + 27
19 x 13 + 16
450 131 263
7
16 x 20 + 14
9 x 25 + 29
3 x 13 + 29
334 254 68
8
9 x 15 + 21
11 x 26 + 24
15 x 22 + 28
156 310 358
9
11 x 21 + 26
16 x 12 + 22
13 x 22 + 17
257 214 303
10
16 x 11 + 25
19 x 17 + 26
18 x 17 + 15
201 349 321
11
4 x 14 + 26
11 x 16 + 20
8 x 16 + 18
82 196 146
12
8 x 15 + 27
7 x 17 + 30
19 x 16 + 34
147 149 338
20 x 11 + 19
12 x 22 + 14
19 x 23 + 22
239 278 459
5
174
Set up and solve word problems
If 2 out of
9 people like coffee,
10
In a group of
45 how many will like coffee?
a bag of
38 how many apples will be rotten?
4
If 4 out of 10 people eat breakfast, In a group of
20 how many will have eaten breakfast?
8
If 5 out of 25 apples are rotten, in
a bag of
50 how many apples will be rotten?
10
If 2 out of 10 people like coffee,
In a group of
41 how many will like coffee?
8.2
If 4 out of 23 apples are rotten, in
a bag of
41 how many apples will be rotten?
7.1
14 how many will have eaten breakfast?
7.0
9.6
If 2 out of 19 apples are rotten, in
If 4 out of
8 people eat breakfast, In a group of
If 4 out of 20 apples are rotten, in
a bag of
48 how many apples will be rotten?
If 7 out of 15 people like bananas,
In a group of
27 how many will like bananas?
175
12.6
Solve
1
x
x
=8
7
14
x
x
+
6
6
2
x
x
= -4
8
13
3
x
+
8
x
6
4
x
+
6
4
6
112
-3
x
x
=2
8
15
-416
5
240
7
= -7
x
x
=8
7
11
-24
154
x
5
=7
x
x
2
5
= -4
210
11
-40
3
x
+
5
x
5
= -7
x
x
+
5
7
=3
-175
10
35
4
x
+
3
x
5
=7
x
x
3
7
= -7
105
8
-147
4
= -1
Set up and solve word problems
34 more than 4 times a number has a result of
27
-1 3/4
22 less than
34
18 2/3
95
18 1/4
88
17 1/5
11 more than 5 times a number has a result of
14
3/5
18 less than
32
3 times a number has a result of
18 more than 2 times, a number plus 2 is
The
sum of
2 and a number multiplied by 5 is
2 times a number has a result of
176
25
Simplify-write all variables with a single exponent
1
(2 x2 )(4 x2 )
(5 x2 )(4 x2 )
2
17 x8
-12 x2
3
(-4 x2 )(2 x2 )
(5 x2 )(4 x2 )
4
18 x2
7 x9
9 x5
11 x2
5
(4 x2 )(3 x2 )
(3 x2 )(-2 x2 )
6
-17 x5
-10 x9
-5 x5
-10 x2
-8 x5
-13 x6
8 x4
20 x4
x6
x3
-8 x4
20 x4
1
x7
x3
12 x4
-6 x4
1
x4
7
(4 x2 )(-4 x2 )
(-5 x2 )(2 x2 )
8
4 x5
20 x2
-4 x9
-11 x4
9
(-2 x2 )(2 x2 )
(2 x2 )(-5 x2 )
177
1
x
-16 x4
-10 x4
x3
x5
-4 x4
-10 x4
Solve
set 2
set 1
Ans
Set2
Ans
Set1
|X+1|=17
|X+51|=39
{16 , -18}
-12
,
-90
|X+5|=15
|X+23|=74
{10 , -20}
51
,
-97
|X+8|=19
|X+92|=96
{11 , -27}
4
,
-188
|X+5|=4
|X+31|=74
{-1 , -9}
43
,
-105
|X+4|=18
|X+10|=87
{14 , -22}
77
,
-97
|X+8|=19
|X+53|=64
{11 , -27}
11
,
-117
|X+6|=1
|X+49|=6
{-5 , -7}
-43
,
-55
|X+8|=10
|X+53|=31
{2 , -18}
-22
,
-84
Solve absolute value problems
1
2
3
4
5
Set1
|-2X-7| =3
|4X-5| =11
|-5X-5| =3
|8X-10| =4
|-8X+9| =9
Ans
1
2
3
4
5
Set2
Ans
|-5X-8| =4
|-8X+5| =2
|9X-9| =8
|7X-7| =7
|-2X-11| =7
178
Set1
{-5 , -2}
{4 , -6/4}
{8/-5 , 2/-5}
{14/8 , 6/8}
{0 , -18/-8}
Set2
-2 2/5
- 4/5
3/8
7/8
1 8/9
1/9
2
0
-9
-2
Set up and solve word problems
If 8 out of 15 people like coffee,
In a group of
30 how many will like coffee?
16
If 4 out of 24 apples are rotten, in
a bag of
72 how many apples will be rotten?
12
If 2 out of
In a group of
10 how many will have eaten breakfast?
5 people eat breakfast,
If 3 out of 21 apples are rotten, in
a bag of
105 how many apples will be rotten?
If 5 out of 10 people like coffee,
In a group of
36 how many will like coffee?
If 2 out of 17 apples are rotten, in
a bag of
20 how many apples will be rotten?
If 7 out of 10 people eat breakfast,
In a group of
38 how many will have eaten breakfast?
If 4 out of 24 apples are rotten, in
a bag of
53 how many apples will be rotten?
If 6 out of 10 people like bananas,
In a group of
36 how many will like bananas?
179
4
15
18.0
2.4
26.6
8.8
21.6
Multiply and simplify
1
29
-10
-11 * 29
8
22
28 * 21
-23
6
-42 * -13
2
-38
-4
*
-30
16
-11
40
*
-48
19
16
26
*
-8
50
3
-27
1
*
42
-22
-3
-17
*
29
-32
13
-22
*
-15 -17
4
-10 -28
*
8
37
-22 -16
*
-31
10
21
38
*
40
-5
5
25
-9
*
-42
34
39
-24
*
-6
5
-36 -49
*
-45 -35
6
49
46
*
-22
23
-3
28
*
-35
-3
-16 -35
*
-41 -16
Find missing term
1
2
3
4
5
6
7
8
9
Set 1
Ans
Set 1
Ans
Set 1
Ans
23 + ___ =-33
9 + ___ =48
-21 + ___ =29
-56 39
17-___=55
29 + ___ =-11
65 + ___ =66
-38 -40
-42 + ___ =-10
-64-___=66
64-___=-26
32 -130
5 + ___ =22
-34-___=11
-23 + ___ =-28
17 -45
23-___=22
35 + ___ =38
26-___=-61
1
3
-12-___=53
38 + ___ =-52
-35-___=11
-65 -90
-42-___=38
19-___=-17
-16 + ___ =-12
-80 36
-19-___=52
-4 + ___ =33
52-___=51
-71 37
-5-___=57
-64 + ___ =20
-25-___=52
-62 84
180
Solve
1
x
5
-
x
7
= -2
x
6
x
8
=7
2
x
8
+
x
7
= -1
x
x
+
7
3
=1
3
x
8
-
x
= -8
12
x
8
= -5
4
6x
5
-
1x
= -8
6
-1x
1x
=2
8
15
5
3x
2
-
1x
= -7
3
6
-35
168
-56
15
21
10
-192
-360
-240
31
240
7
1x
3x
+
= -1
4
2
-6
-4
7
-1x
5x
+
= -4
2
4
-1x
1x
+
=3
4
2
-16
3
12
7
8x
1x
+
=3
7
8
-8x
5x
+
= -5
7
4
168
71
-140
3
8
-1x
7x
=4
4
6
7x
8x
=6
6
7
48
-17
252
9
-1x
9x
+
=7
7
8
8x
1x
= -3
7
8
392
55
-56
19
-
-
x
9
181
Simplify
1
(2 x2 )(-2 x2 )
(5 x2 )(5 x2 )
2
17 x8
-8 x2
8 x5
-10 x2
3
(5 x2 )(-2 x2 )
(-5 x2 )(4 x2 )
4
-15 x2
18 x9
-6 x5
-12 x2
5
(-3 x2 )(-2 x2 )
(-4 x2 )(4 x2 )
6
-14 x5
-2 x9
-7 x5
-12 x6
7
(-2 x2 )(5 x2 )
-4 x4
25 x4
x6
x3
-10 x4
-20 x4
1
x7
x3
6 x4
-16 x4
1
x4
(2 x2 )(2 x2 )
8
-8 x5
-3 x2
-18 x9
-2 x4
9
(3 x2 )(-3 x2 )
(-3 x2 )(5 x2 )
182
1
x
-10 x4
4 x4
x3
x5
-9 x4
-15 x4
Set up and solve the word problems below
The sum of two consecutive integers is
-415
-208
-207
The sum of two consecutive integers is
-455
-228
-227
The sum of three consecutive integers is
549
182
183
The sum of three consecutive integers is
-636
-213
309
101
The sum of three consecutive odd integers is
184
-212 -211
103
105
Evaluate
X
1
2
3
4
5
=
5
8
10
11
13
-7X
-2
6
-6
X-2
5
-5X
+2
4
3
X+5
2
-7X
+7
6
183
5
8
10
11
13
-47
6
-68
6
-82
6
-89 -103
6
6
-8
-58
5
-14
-76
5
-88
5
-17
4
-8
-42
4
-47
4
-57
4
25
2
17
20
43
2
49
2
7
6
-14
6
-28
6
-35
6
-49
6
Simplify
1
2
3
4
5
6
7
8
9
(2
(-3
(2
(-4
(2
(-4
(-5
(-4
(-3
x2
x2
x2
x2
x2
x2
x2
x2
x3
)(-3 x2
)(4 x2
)(-5 x2
)(2 x3
)(-3 x4
)(4 x5
)(-4 x6
)(5 x2
)(2 x2
)
)
)
)
)
)
)
)
)
(3
(2
(4
(-5
(-5
(5
(2
(5
(5
x2
x2
x2
x2
x2
x2
x2
x2
x3
)(4 x2
)(-2 x3
)(4 x2
)(5 x3
)(-2 x4
)(-2 x5
)(-4 x6
)(3 x4
)(2 x5
)
)
)
)
)
)
)
)
)
-6
-12
-10
-8
-6
-16
20
-20
-6
x4
x4
x4
x5
x6
x7
x8
x4
x5
12
-4
16
-25
10
-10
-8
15
10
x4
x5
x4
x5
x6
x7
x8
x6
x8
Review
Solve
Set1
3(-5x+2)=36
3(2x-4)=-30
5(3x+6)=0
-5(-6x+6)=30
1
2
3
4
Ans
Set2
2(-3x-6)=24
3(6x-2)=-42
-6(-6x-3)=198
4(5x+2)=-52
Ans
Set1
-2
-3
-2
2
Set2
-6
-2
5
-3
Solve
Move
Combine
Set1
Ans
Ans
10X+0=-22-45X
10X+12+16X=-50
10X+4=56+18X
-5X-2+56X=-33
11X-15=-33+31X
-5X-24-40X=-56
4X-24=38+28X
5X-17-30X=22
1
2
3
4
Set1
-22/55
52/-8
-18/-20
62/-24
Set2
-2 5/13
- 31/51
32/45
-1 14/25
Solve
1
x
+4 = 6
8
x
8
-2 = 7
x
4
+1 = 6
2
x
-7 = 8
8
x
3
-5 = 6
x
8
-4 = 7
3
x
-2 = 8
5
x
-1 = -1
5
x
7
-5 = 3
184
16 72 20
120 33 88
50
0 56
Evaluate
X
3
6
5
4
7
6
7
9
12
3
6
5
4
7
6
7
9
12
1
20X+7
102 32 182 147 187 247
6
6
2
20X+2
72
6
27 152 142 182 242
6
3
13X+6
75
6
89 127 97
4
6
123 162
Set up and solve
19 more than 3 times a number has a result of
25
28 less than
31
11 4/5
102
21 1/3
131
63
5 times a number has a result of
18 more than 4 times, a number plus 5 is
The
sum of
5 and a number multiplied by 2 is
2
31 more than 4 times a number has a result of
13
-4 1/2
11 less than
19
15
2 times a number has a result of
18 more than 4 times, a number plus 2 is
185
125
24 3/4
Solve
1
x
6
-
x
= -7
12
x
x
+
= -7
3
6
-84
-14
2
x
2
-
x
= -3
3
x
x
+
=7
3
8
-18
168
11
3
x
5
+
x
= -4
6
x
x
+
=7
2
7
-120
98
11
9
4
-1x
15x
=1
8
14
1x
1x
+
= -6
7
4
56
-67
-168
11
5
-4x
1x
= -5
3
4
5x
1x
=6
4
5
-60
-19
40
7
6
1x
1x
+
= -7
3
8
8x
7x
+
= -5
7
6
-168
11
-210
97
7
6x
1x
=4
5
7
-4x
1x
+
=6
3
7
140
37
126
-25
8
-4x
5x
+
=1
3
4
-1x 10x
= -8
7
9
-12
-504
-79
9
1x
1x
+
= -6
8
3
-9x
1x
+
=6
8
4
-144
11
48
-7
186
Add
5
6*6
+
7
7*6
5
3*5
+
7
4*5
77
252
41
60
11
2*2
+
13
3*2
11
5*4
+
13
6*8
59
12
197
240
7
6*4
+
7
7*4
7
4*4
+
7
5*4
91
168
63
80
13
6*4
+
7
7*8
13
3*4
+
7
4*4
14
21
73
48
11
5*6
+
17
6*12
11
5*6
+
17
6*6
217
360
151
180
11
6*5
+
7
7*10
11
5*4
+
7
6*4
49
105
101
120
7
3
+
2*4*3
5*3*4
129
60
97
30
7
3
+
6*3*4
5*2*4
187
Add
Adding Fractions_2
1
21
29
+
20
30
2
17
19
+
18
18
3
5
+
4
7
8
7
+
6
9
8
29
16
+
30
15
121
60
55
24
61
30
23
11
+
24
12
29
34
+
28
35
36
18
45
24
281
140
3
4
17
8
112
54
23
12
19
55
+
18
54
7
+
6
4
29
41
+
28
42
5
+
6
5
6
15
27
+
14
28
169
84
10
6
57
28
5
9
15
+
8
16
9
+
8
5
6
10
14
+
9
15
33
16
47
24
92
45
6
77
40
+
78
39
55
37
+
54
36
16
14
+
15
15
157
78
221
108
30
15
188
Solve
1
x
3
x
6
= -7
x
x
5
7
= -2
2
x
+
5
x
4
= -8
x
x
3
4
=7
3
x
2
x
3
=6
x
x
+
4
4
=6
4
x
+
3
x
4
=6
x
x
+
6
6
=4
4
x
4
x
5
= -5
x
x
+
7
3
= -4
6
x
+
5
x
2
= -8
x
x
+
8
6
= -1
189
-42
-35
-160
9
84
36
12
72
7
12
-100
-42
5
-80
7
-24
7
Set up and solve
The sum of two consecutive odd integers is
328
163
165
The sum of two consecutive even integers is
190
94
96
The sum of two consecutive integers is
-293
-147
-146
The sum of two consecutive even integers is
-302
-152
-150
The sum of two consecutive odd integers is
200
99
101
The sum of two consecutive even integers is
166
82
84
The sum of two consecutive odd integers is
-128
-65
-63
1st
2nd
3rd
The sum of three consecutive integers is
321
106
107
108
The sum of three consecutive integers is
480
159
160
161
The sum of three consecutive even integers is
240
78
80
82
The sum of three consecutive integers is
435
144
145
146
-264
-90
-88
-86
The sum of three consecutive even integers is
190
Solve
1 -1x
+3 = -1
2
-8x
+2 = -4
7
6x
-7 = -4
7
8 -42 21
-8 6
2
5x
+1 = -4
4
-8
X +5 = 5
3
5
5x
3
-8x
+6 = 8
2
8
X-4 = 1
8
3 -7x
-6 = -2
6
-3 = -7
-4
0
24 -12
-7 5
4
-8
Find missing term
1
2
3
4
5
6
7
8
9
Set 1
Ans
-51 + ___ =50
11-___=17
47 + ___ =-59
-19-___=14
8-___=8
-43-___=-17
-26 + ___ =-64
51 + ___ =43
68-___=12
Set 1
-35-___=-6
-47-___=-2
3 + ___ =59
30-___=5
8 + ___ =45
-66 + ___ =9
-44 + ___ =-7
2-___=53
12 + ___ =51
Ans
Set 1
Ans
-62 + ___ =7
101 -29
-24-___=-53
-6 -45
-53 + ___ =-52
-106 56
24-___=-49
-33 25
11 + ___ =-5
0
37
47 + ___ =27
-26 75
-21-___=8
-38 37
-31 + ___ =56
-8 -51
3 + ___ =63
56
39
191
Multiply
1
-3
-34
37 * 27
2
-19
-12 * -25
11
32
30 * -8
2
15
-38
*
-17
15
46
-36
*
38
8
-40
27
*
40
-8
3
7
-42
*
-8
3
-13
-8
*
-44
10
-7
30
*
-9
46
4
-6
-25
*
13
-13
-41
-16
*
-50
-5
-37
-44
*
14
45
5
23
-41
*
-50
-29
-37
42
*
7
-36
-18
-5
*
-10
9
6
-2
23
*
-12
49
-2
-7
*
-30
-21
-42
42
*
21
-24
Solve
Set1
Ans
Set2
Ans
set 1
set 2
|X+7|=13
|X+13|=40
{6 , -20}
27
,
-53
|X+6|=15
|X+26|=2
{9 , -21}
-24
,
-28
|X+3|=1
|X+81|=0
{-2 , -4}
-81
,
-81
|X+2|=3
|X+55|=88
{1 , -5}
33
,
-143
|X+6|=16
|X+46|=79
{10 , -22}
33
,
-125
|X+2|=7
|X+24|=6
{5 , -9}
-18
,
-30
192
Add
5
+
2*2
7
3*4
5
7
+
2*6
3*12
11
6
11
18
11
+
6*4
13
7*8
11
+
3*3
13
4*6
29
42
127
72
7
+
4*3
7
5*6
7
+
4*5
7
5*5
49
60
63
100
13
7
+
6*6
7*12
13
+
4*3
7
5*6
28
63
79
60
11
+
5*2
17
6*4
11
+
6*5
17
7*5
217
120
179
210
11
+
4*5
7
5*5
11
+
3*4
7
4*4
83
100
65
48
7
3
+
6*3*3
2*2*3
69.6
24
25
6
7
3
+
2*5*2
2*6*5
193
Add
Adding Fractions_2
1
13
20
+
14
21
13
31
+
12
30
22
41
+
21
42
79
42
127
60
85
42
2
36
13
+
35
14
7
11
+
6
12
37
26
+
36
27
137
70
25
12
215
108
3
23
15
+
24
16
47
41
+
48
40
19
25
+
20
24
91
48
481
240
239
120
4
23
39
+
24
40
21
19
+
20
20
34
27
+
35
28
232
120
40
20
271
140
5
29
31
+
30
30
17
17
+
18
18
13
19
+
12
18
60
30
34
18
77
36
6
61
39
+
60
40
17
33
+
16
32
56
21
+
55
22
239
120
67
32
217
110
194
Multiply
1
18 x 13 + 36
15 x 20 + 24
17 x 23 + 36
270 324 427
2
15 x 15 + 21
15 x 19 + 14
5 x 24 + 33
246 299 153
3
19 x 14 + 22
9 x 21 + 14
11 x 18 + 19
288 203 217
4
16 x 13 + 30
19 x 11 + 22
9 x 24 + 26
238 231 242
5
7 x 16 + 22
10 x 22 + 20
4 x 26 + 17
134 240 121
6
17 x 14 + 30
13 x 15 + 25
10 x 15 + 23
268 220 173
7
20 x 24 + 27
15 x 25 + 31
9 x 13 + 34
507 406 151
8
19 x 24 + 16
15 x 22 + 21
19 x 21 + 36
472 351 435
9
9 x 15 + 21
7 x 24 + 32
12 x 24 + 16
156 200 304
10
15 x 26 + 30
18 x 25 + 24
10 x 12 + 26
420 474 146
11
8 x 20 + 19
6 x 23 + 20
3 x 16 + 35
179 158
12
18 x 12 + 15
16 x 21 + 16
6 x 11 + 35
231 352 101
5
17 x 14 + 15
16 x 25 + 22
17 x 12 + 14
253 422 218
195
83
Find ordered pairs and graph
Pick any values for x
1
2
3
4
y =
1
X+6
2
x
y
y =
6
X+2
7
x
y
y =
5
X -3
6
x
y
y =
5
X+6
6
x
y
y =
-2
X -4
3
x
y
y =
6
X -4
7
x
y
y =
3
X -5
4
x
y
y =
-3
X -5
4
x
y
5 -2x + 2y = 4
x
y
2x -1y = -6
x
y
6 3x + 1y = -5
x
y
-5x -3y = 1
x
y
7
-4x -5y = 3
x
y
5x -5y = 2
x
y
8
1x + 2y = 3
x
y
-5x + 3y = 1
x
y
Pick any values for y
9
10
y+1=
3
(X + 2)
4
x
y
y-2=
4
x
(X + 3)
5
y
y-1=
-2
(X + 6)
3
x
y
y-3=
6
x
(X - 3)
7
y
196
Review
Find x and y and graph
Set1
y-6=6(x-3)
y-2=2(x-2)
y+6=-2(x-5)
x
y
2
1
x -2
y
1
x -1
y
2
1
x
y
2
0
1
-6
13/6
1
-2
x
y
-2
-6
1
0
0/2
-2
1
x
y
-1
6
2
0
-3/-2
1
Solve
Set1
Ans
Set2
Ans
set 1
set 2
|X+9|=7
|X+22|=55
{-2 , -16}
33
,
-77
|X+2|=6
|X+5|=37
{4 , -8}
32
,
-42
|X+9|=4
|X+88|=65
{-5 , -13}
-23
,
-153
|X+6|=12
|X+5|=10
{6 , -18}
5
,
-15
|X+6|=11
Solve
|X+72|=66
{5 , -17}
-6
,
-138
Set1
1 6 (x+4)=36
6
Set1
1 2 (2x+6)=16
6
2 2 (x+3)=10
3
2 3 (3x+7)=30
5
197
32
21
12
43
3
Set up and solve
The sum of two consecutive even integers is
-222
-112
-110
The sum of two consecutive even integers is
-206
-104
-102
The sum of two consecutive integers is
377
188
189
The sum of two consecutive even integers is
106
52
54
The sum of two consecutive odd integers is
300
149
151
The sum of two consecutive odd integers is
236
117
119
-299
-150
-149
The sum of two consecutive integers is
1st
2nd
3rd
The sum of three consecutive integers is
-594
-199
The sum of three consecutive integers is
186
61
62
63
The sum of three consecutive integers is
396
131
132
133
The sum of three consecutive odd integers is
471
155
157
159
The sum of three consecutive even integers is
-234
-80
-78
-76
198
-198 -197
Find absolute and expected value for each problem
Lose
Odds against
Win
8
6
9
10
8
7
5
7
5
5
4
2
Amount
Lost
Won
8
7
13
8
9
8
6
4
2
6
4
7
Absolute
expected
value
Expected
Value
-34
-14
-107
-50
-56
-42
-2.62
-1.08
-7.64
-3.33
-4.67
-4.67
Convert
Convert percent
1.77
1.97
1.76
0.43
1.62
1.5
Convert to decimal
195%
72%
148%
109%
100%
3%
answer1 answers2
177%
1.95
197%
0.72
176%
1.48
43%
1.09
162%
1.00
150%
0.03
Simplify
1
2
3
4
(5
(-4
(4
(-4
x2
x2
x2
x2
)(3 x2
)(-3 x2
)(-2 x2
)(-2 x3
)
)
)
)
(-4
(-4
(-4
(-2
x2
x2
x2
x2
)(-3 x2
)(-4 x3
)(-3 x2
)(4 x3
)
)
)
)
15
12
-8
8
x4
x4
x4
x5
12
16
12
-8
Multiply and simplify
1
2
3
4
(-5X + 6)
(4X + 4)
(3X -6)
(-4X + 5)
2
(2X -6)
(5X + 5)
(2X -2)
(-4X + 5)
-10 x
2
20 x
2
6x
2
16 x
199
+42X
+40X
-18X
-40X
-36
+20
+12
+25
x4
x5
x4
x5
Perform indicated operation
1
2
3
4
2
2
(4 x -10X -14) + (-20 x
2
2
(-20 x -9X +18) + (10 x
2
2
(8 x +16X -24) - (15 x
2
2
(20 x -4X -24) - (9 x
2
-16 x - 57x - 35
2
-10 x + 25X + 30
2
-7 x + 42X - 32
2
11 x - 1x - 12
-47X -21)
+34X +12)
-26X +8)
-3X
-12)
Solve
1
x
x
+
=1
2
5
x
x
= -1
4
6
10
7
-12
2
x
x
+
=3
7
5
x
x
+
=2
5
4
35
4
40
9
3
x
x
+
= -6
2
3
x
x
= -7
8
12
-36
5
-168
4
x
x
= -1
6
12
x
x
+
=8
3
6
-12
16
Set up and solve
If 7 out of
9 people like coffee,
23.3
In a group of
30 how many will like coffee?
If 3 out of 24 apples are rotten, in
a bag of
26 how many apples will be rotten?
3.3
If 5 out of 13 people eat breakfast,
In a group of
18 how many will have eaten breakfast?
6.9
If 5 out of 26 apples are rotten, in
a bag of
32 how many apples will be rotten?
6.2
If 2 out of
In a group of
4 people like bananas,
If 4 out of 20 apples are rotten, in
a bag of
8 how many will like bananas?
24 how many apples will be rotten?
200
4.0
4.8