Download Practice Test #1

Practice Test 1
Assessment #4
I. Solving Inequalities
1. 2x + 2< -14
2. 5x + 9 – 7x ≥ 15
3. - 7x + 9 < x + 9
4. -2(5x - 4) > 118
II.
Name__________________________
1.
3.
6.
Graphing Inequalities
6-10. Graph the inequalities from Section I.
7.
12. s 
pq
 t  u , for p
r
4.
5.
5. - 124 ≤ 5x + 7x - 4
III. Solving for a Variable
Solve for the given variable.
11. ab + c = d, for a
Solutions
2.
8.
9.
13. 2x – y = -7, for y
14. x + 2y = 6, for y
10.
15. 2x + 3y = -12, for y
IV. Distributed Practice
16.
4 x7

15
45
17.
x 3 2

45
9
11.
12.
13.
14.
15.
16.
17.
18. Five more than the quotient of a number
and three is four.
18.
19.
19. Twice the sum of a number and six is
negative sixteen.
20.
For 18 and 19 write an algebraic expression.
32x 7 y 2  16x 6 y 5  48x 5 y 3  8x 3
20.
8x 4 y 3
Practice Test 1
Assessment #4
Name__________________________
I. Solving Inequalities
1. 2x + 1< -14
2. 5x + 9 – 7x ≥ 15
3. - 7x + 9 < x + 9
4. -2(5x - 4) > 118
II.
1.
3.
6.
Graphing Inequalities
6-10. Graph the inequalities from Section I.
7.
12. s 
pq
 t  u , for p
r
13. 2x – y = -7, for y
14. x + 2y = 6, for y
4.
5.
5. - 124 ≤ 5x + 7x - 4
III. Solving for a Variable
Solve for the given variable.
11. ab + c = d, for a
Solutions
2.
8.
9.
10.
15. 2x + 3y = -12, for y
IV. Distributed Practice
16. Solve
4 x7

15
45
17. Solve
x 3 2

45
9
11.
12.
13.
14.
15.
16.
17.
18.
19.
For 18 and 19 write an algebraic expression.
18. Five more than the quotient of a number
and three is four.
19. Twice the sum of a number and six is
negative sixteen.
32x 7 y 2  16x 6 y 5  48x 5 y 3  8x 3
20.
8x 4 y 3
20.
Assessment #3 – Practice Test #1 Solutions
1. 2x + 2 < -14
-2
-2
2x < -16
2
2
x < -8
2. 5x + 9 – 7x ≥ 15
-2x + 9 ≥ 15
-9 -9
-2x ≥ 6
-2 -2
x ≤ -3
3. - 7x + 9 < x + 9
-9
-9
-7x < x
-x -x
-8x < 0
-8 -8
X>0
4. -2(5x - 4) > 118
-10x + 8 > 118
-8
-8
-10x > 110
-10
-10
X < -11
5. - 124 ≤ 5x + 7x – 4
-124 ≤ 12x – 4
+4
+4
-120 ≤ 12x
12
12
-10 ≤ x  x ≥ -10
pq
 t u
r
s
-s
s
pq
 s  t  u
r
 pq 
12. r    r  s  t  u  , for p
 r 
pq  - rs  rt  ru
p
- rs  rt  ru
q
p
13. 2x – y = -7, for y
-2x
-2x
-y = -2x – 7
-1
y = 2x + 7
14. x + 2y = 6, for y
-x
-x
2y = -x + 6
2
y = -1/2x + 3
15. 2x + 3y = -12, for y
-2x
-2x
3y = -2x – 12
3
y = -2/3x – 4
16. 4  x  7  15(x+7) = 4(45)
6.
15
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
45
15x + 105 = 180
-105 -105
15x = 75
15
15
X=5
7.
8.
-2
-1
17. x  3  2  9(x – 3) = 2(45)
45
9.
-13
-12
-11
-10
-9
10.
-12
-11
-10
-9
-8
9
9x – 27 = 90
9x = 117
9
9
18. Five more than the quotient of a number
and three is four.
x
5  4
3
19. Twice the sum of a number and six is
negative sixteen. 2(x + 6) = -16
11. ab + c = d, for a
-c -c
ab = d – c
b
b
a = d/b – c/b
32x 7 y 2  16 x 6 y 5  48 x 5 y 3  8x 3
8x 4 y 3
20.

4x 3
1
 2x 2 y 2  6 x  3
y
xy
Assessment #3 – Practice Test #1 Solutions
1. 2x + 2 < -14
-2
-2
2x < -16
2
2
x < -8
2. 5x + 9 – 7x ≥ 15
-2x + 9 ≥ 15
-9 -9
-2x ≥ 6
-2 -2
x ≤ -3
3. - 7x + 9 < x + 9
-9
-9
-7x < x
-x -x
-8x < 0
-8 -8
X>0
4. -2(5x - 4) > 118
-10x + 8 > 118
-8
-8
-10x > 110
-10
-10
X < -11
5. - 124 ≤ 5x + 7x – 4
-124 ≤ 12x – 4
+4
+4
-120 ≤ 12x
12
12
-10 ≤ x  x ≥ -10
pq
 t u
r
s
-s
s
pq
 s  t  u
r
 pq 
12. r    r  s  t  u  , for p
 r 
pq  - rs  rt  ru
p
- rs  rt  ru
q
p
13. 2x – y = -7, for y
-2x
-2x
-y = -2x – 7
-1
y = 2x + 7
14. x + 2y = 6, for y
-x
-x
2y = -x + 6
2
y = -1/2x + 3
15. 2x + 3y = -12, for y
-2x
-2x
3y = -2x – 12
3
y = -2/3x – 4
16. 4  x  7  15(x+7) = 4(45)
15
6.
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
45
15x + 105 = 180
-105 -105
15x = 75
15
15
X=5
7.
8.
17. x  3  2  9(x – 3) = 2(45)
-2
-1
0
1
-11
-10
45
2
9.
-13
-12
-9
10.
-12
-11
-10
11. ab + c = d, for a
-c -c
ab = d – c
b
b
a = d/b – c/b
-9
-8
9
9x – 27 = 90
9x = 117
9
9
18. Five more than the quotient of a number
and three is four.
x
5  4
3
19. Twice the sum of a number and six is
negative sixteen. 2(x + 6) = -16
32x 7 y 2  16 x 6 y 5  48 x 5 y 3  8x 3
8x 4 y 3
20.

4x 3
1
 2x 2 y 2  6 x  3
y
xy