Download Infinite Pre-Algebra - Final Test REVIEW

Pre-Algebra
Name___________________________________
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Final Test REVIEW
Date________________
Evaluate each using the values given.
2
1) ( y + z ) - x; when x = 3, y = 4, and z = 6
2)
2z - x
; when x = 2, y = 5, and z = 7
3
Evaluate each expression.
3) - 17 + 44
4) - 26 - 43
5) ( - 13 )( 3 )
6) ( - 7 )( - 10 )
7)
- 24
-3
9) State the absolute value and the opposite of -44
8)
300
-4
10) Plot the point ( - 2, 2 ) in the coordinate plane.
Describe which quadrant that it is located in.
y
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-1
-2
-3
-4
-5
-6
11) Identify the property that this math statement illustrates: x × yz = xy × z
Simplify each expression.
12) 24 + 4 x - 7 + 27 x
13) - 5 ( 4 g + 2 ) + 25
Write each as an algebraic expression.
14) The difference of 16 and m is 26.
15) The product of b and -7 is -56.
Solve each equation.
16) - 8n = 96
18)
s
= - 15
6
17) h - 43 = - 8
19) - 4 p - 14 = 6
Worksheet by Kuta Software LLC
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20) 3 ( 4 + 2 x ) = - 24
21)
b
-4=5
10
23)
x+1
< -9
2
Solve each inequality and graph its solution.
p
-4
8
22) - 2 £
8
9
10
11
12
13
14
15
16
17
18
- 26
- 24
- 22
- 20
- 18
- 16
Find the Greatest Common Factor (GCF) of the monomials.
24) 6t, 18t 2
25) 24 y 4 x 3 , 40 y 2 x 2
Find the Least Common M ultiple (LCM ) of these integers.
26) 30, 12
27) 32, 24
Find the product or quotient. Write your answer using only positive exponents.
3
28) u ·u
7
29)
t
-6
t
2
Evaluate each expression.
12
9
+
7
7
31) 2
( )( )
33) - 2
30) -
32) - 3
2
1
1
5
2
1
1
-1
4
6
1
7
¸ -2
9
8
Solve the equation or inequality by first clearing the fractions or the decimals.
34)
35) 4.2 x + 4.5 = 21.3
1
5
x-5<
3
6
Solve each proportion.
36)
7
42
=
13
k
37)
64 16
=
b
17
Find the missing side of these similar figures.
38)
56
8
x
21
Worksheet by Kuta Software LLC
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39) Each letter in the word VOCATIONS is
written on a separate slip of paper and placed
in a hat. A letter is chosen at random from the
hat. W hat is the probability that the chosen
letter is a vowel?
Solve each problem.
40) W hat percent of 360 is 270?
41) 96 is 30% of what number?
Identify the percent change as an increase or a decrease. Then find the percent of change.
42) Original: 45 and New: 30
43) A sweatshirt is on sale for 20% off of the original price of $35. W hat is the sale price of this sweatshirt?
Sketch the graph of each line.
44) y = -
2
x
3
y
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-1
-2
-3
-4
-5
-6
Write the slope-intercept form of the equation of the line through the given points.
45) through: ( 4, 3 ) and ( 0, 2 )
46) Let f ( x ) = 5 x + 2. Find the indicated value if
f (- 2 ).
Worksheet by Kuta Software LLC
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Find each square root. Round to the nearest tenth.
47)
32b 2
48)
16t 2
121
49) Determine whether the triangle is a right triangle
if it has side lengths of 5, 12, 16.
50) Find the distance between these endpoints of
(4, 5) and (0, 7).
51) The shortest length of a 30°-60°-90° triangle
has a length of 6 units. Find the length of the
other leg and the hypotenuse (use simplest
form).
52) The angle measures of a triangle are: 2x°, 5x°,
(x + 20)°. Find the value of x.
53) Find the area of a circle with a radius of 8 ft. Use 3.14 for p and round to the nearest whole number.
Find the surface area (round to nearest whole number).
54)
6 in
55) Make an ordered box-and-whisker plot of this
data: 56, 59, 65, 45, 68, 41, 66, 49, 51, 52.
3 in
5 in
6 in
3 in
Find the volume (round to nearest whole number).
56)
57) Make an ordered stem-and-leaf plot of this
data: 56, 59, 65, 45, 68, 41, 66, 49, 51, 52.
11 yd
9 yd
9 yd
Worksheet by Kuta Software LLC
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Evaluate.
58) The Permutation of 5 and 4, where n!/(n-5)!
59) The Combination of 8 and 2, where n!/(n-r))! is divided by r!
60) A jar has 6 red marbles and 4 blue marbles. You randomly choose two marbles. Find the probability that
both marbles are red.
Tell whether the angles are complementary, supplementary, or neither.
61) m 1 = 62 °, m 2 = 118 °
62) m 3 = 27 °, m 4 = 63 °
63) Find the measure of an exterior angle of a
regular 18-gon.
Worksheet by Kuta Software LLC
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Answers to Final Test REVIEW
1) 97
2) 4
3) 27
5) - 39
6) 70
7) 8
9) 44, 44
10) (See Graph); Quadrant II
11) Associative Property of Multiplication
12) 31 x + 17
14) 16 - m = 26
15) - 7b = - 56
16) - 12
18) - 90
19) - 5
20) - 6
22) p ³ 16 :
23) x < - 19 :
8
10
12
14
18
1
10
36) 78
40) 75%
44)
13) - 20 g + 15
17) 35
21) 90
- 26
2 2
24) 6t
10
28) u
32) - 5
16
4) - 69
8) - 75
- 24
25) 8 y x
1
29) 8
t
152
33)
207
37) 68
26) 60
3
30) 7
41) 320
42) 33.33% decrease
46) - 8
y
34) x <
1
x+2
4
- 20
- 18
- 16
27) 96
1
12
35) x = 4
31) 1
35
2
38) 3
45) y =
6
- 22
4
9
43) $28
39)
4
2
-6
-4
-2
2
4
6 x
-2
-4
-6
49) No.
4t
11
52) 20°
Hypotenuse = 12 units; Leg = 6 3 units
126 in²
The dot next to the choice indicates that it is the answer.
297 yd³
The dot next to the choice indicates that it is the answer.
120
59) 28
1
60)
3
Complementary
63) 20°
47) 4b
51)
54)
55)
56)
57)
58)
62)
2
48)
50) 2
5
53) 201 f t
2
61) Supplementary
Worksheet by Kuta Software LLC
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