Download Pre-Algebra Final

Pre-Algebra Final Review -Part 1
Evaluate the expression when x = 2, y = 4, z = -3.
1. ( x  y ) 2  z
A.
-17
B.
-5
C.
1
D. 7
-----------------------------------------------------------------------------------------------------------
4z  x
4
2.
A.
5
2
C. 
B. 6
5
2
D. -6
----------------------------------------------------------------------------------------------------------3.
State the absolute value and the opposite of the number -10.
A. Absolute value 10
Opposite -10
B. Absolute value 10
Opposite 10
C. Absolute value -10
Opposite -10
D. Absolute value -10
Opposite 10
--------------------------------------------------------------------------------------------------------------4.
A.
Which letter corresponds with point (3, -2) ?
A
B. B
C.C
D. D
5.
Identify the property that the statement illustrates:
A.
B.
C.
D.
x + (y + z) = (x + y) + z
Associative Property of Addition
Commutative property of Addition
Additive Identity
Distributive property
-----------------------------------------------------------------------------------------------------------------6.
Simplify:
A.
B.
C.
D.
8x + 18 + 12x - 23
20x - 5
26x - 11x
30x – 15x
26x + 35x
-------------------------------------------------------------------------------------------------------------------7.
Simplify:
-4(5x – 10) + 22
A. -20x + 62
B. 20x + 40
C. -20x - 62
D. -20x - 18
--------------------------------------------------------------------------------------------------------------------8.
Breanna makes $72 for 4 hours of babysitting. How much can she expect to make if she
babysits for 12 hours?
A.
B.
C.
D.
$216
$180
$150
$175
--------------------------------------------------------------------------------------------------------------------9. Solve:
A.
B.
C.
D.
-14x = - 56
x = -4
x=4
x = -42
x = -70
--------------------------------------------------------------------------------------------------------------------10. Solve:
-6y + 9 = -27
A.
B.
C.
D.
y = -3
y=3
y=6
y = -6
11. Solve:
A.
B.
C.
D.
5(10 – 9a) = 68
a = -9
a=2
a = 13
a = -2
--------------------------------------------------------------------------------------------------------------------12. Solve:
4x – 3 = 2x + 15
A.
B.
C.
D.
x = -3
x=9
x=3
x = -9
--------------------------------------------------------------------------------------------------------------------For problems 13 and 14, solve and graph the inequality.
13. x – 12 > -6
--------------------------------------------------------------------------------------------------------------------14. -5x – 3 < 28
--------------------------------------------------------------------------------------------------------------------15.
Find the GCF: 4a, 12a2
A. 4a
B. 12a2
C. 12a
D. 4a2
--------------------------------------------------------------------------------------------------------------------16. Find the LCD: 5y, 30y5
A. 5y
B. 30y5
C. 5y5
D. 30y
-------------------------------------------------------------------------------------------------------------------For problems 17-19, find the product or quotient. Write your answer using only positive exponents.
17.
a5  a 6
30
A. u
11
B. u
1
D. u
1
C. u
-------------------------------------------------------------------------------------------------------------------18.
x 4  x 7
3
B. u
3
A. u
C.
1
u3
D.
1
u 28
--------------------------------------------------------------------------------------------------------------------19.
y9
y4
13
A. y
B.
1
y5
13
C. y
5
D. y
-------------------------------------------------------------------------------------------------------------------20. Simplify:
32
B. 2 8
A. 16 2
C. 4 8
D. 4 2
--------------------------------------------------------------------------------------------------------------------21. Solve:
1
2
x 3
4
3
44
A. x < 3
22.
A. 3
B. x <

44
3
C. x <

28
3
28
D. x < 3
Solve:
B. 4.67
C. 8.4
D. 0.3
---------------------------------------------------------------------------------------------------------------------------Given ABCD ~ EFGH, find the indicated measure for problems 23 and 24.
D
75 cm
H
C
G
120 
150 cm
225 cm
B
A
60 
F
E
23.
A. 180 degrees
B. 120 degrees
C. 60 degrees
D. 40 degrees
------------------------------------------------------------------------------------------------------------------------------24.
GH
A. 112.5 cm
B. 450 cm
C. 150 cm
D. 50 cm
------------------------------------------------------------------------------------------------------------------------------25.Each letter in the word VACATION is written on a separate slip of paper and placed in a hat. A letter is
chosen at random from the hat. What is the probability that the chosen letter is a vowel?
1
A. 4
3
B. 8
1
C. 2
5
D. 8
Pre-Algebra Final-Part 2
Use a proportion or a percent equation to answer the question.
26.
What percent of 360 is 126?
A. 35
B. 28
C. 27
D. 45
------------------------------------------------------------------------------------------------------------------Solve the proportion.
27.
A. 90
B.95
C. 98
D. 102
--------------------------------------------------------------------------------------------------------------------Identify the percent change as an increase or a decrease. Then find the percent of change.
28.
Original: 24
New: 36
A. 50% increase
B. 50 % decrease
C. 12 % increase
D. 12 % decrease
---------------------------------------------------------------------------------------------------------------------29.
A spring sweater is on sale for 15% off the original price of $35. What is the sale price of the
sweater?
A. $29.75
B. $20
C. $25
D. $27
------------------------------------------------------------------------------------------------------------------------30. Find the slope of a line through the points (5, 10) and (1, - 5)
A.
15
4
B.
 15
4
C.
4
5
D.
4
15
31. Find the solution to the following system of equations.
A. (5,-2)
B. (-2,5)
C. (-5,2)
D. (2,-5)
----------------------------------------------------------------------------------------------------------------------------Select the correct graph that goes with the equation.
32.
If g(x) = -2x + 1, then find
33. If g(x) = -2x + 1, then find g(4)
A. 24
B. 9
C. - 7
D. 10
--------------------------------------------------------------------------------------------------------------------
34. Find the hypotenuse given side lengths of 9, 12.
A.
6
B. 15
C. 3 7
D. 6.5
--------------------------------------------------------------------------------------------------------------------
35. Find the missing side.
A. 200 cm
B. 15 cm
C. 20 cm
D. 40 cm
--------------------------------------------------------------------------------------------------------------------------
36. The three angles of a triangle measure: 2x, 5x, (x + 20). Find the measure of x.
A. x = 22.9
B. x = 25
C. x = 152
D. 20
----------------------------------------------------------------------------------------------------------------------------
For problems 37 and 38, find the area of the figure with the given dimensions. Use 3.14 for pi. Round to
the nearest whole number.
37. Parallelogram: h = 6m, b = 4.5 m
A. A = 27 m2
B. A = 85 m2
C. A = 11 m2
D. 21 m2
------------------------------------------------------------------------------------------------------------------38. Circle: r = 19 yd
A. A = 1133 yd2
B. A = 119 yd2
C. A = 1134 yd2
D. A = 4534 yd2
--------------------------------------------------------------------------------------------------------------------Find the surface area of the solid with the given dimensions. Use 3.14 for pi. Round to the nearest
whole number.
39. Cylinder: r = 11 in, h = 15 in.
A. SA = 1416 in2
B. SA = 796 in2
C. SA = 1036 in2
D. SA = 2628 in2
---------------------------------------------------------------------------------------------------------------------------Find the volume of the solid with the given dimensions. Use 3.14 for pi. Round to the nearest whole
number.
40. Cone: r = 7 cm, h = 12 cm
A. V = 154 cm2
B. V = 615 cm2
C. SA = 1846 cm2
D. SA = 176 cm
2
Use the stem-and-leaf plot for questions #41 and #42.
41. Find the median of the stem-and-leaf plot.
A. 46
B. 44
C. 6
D. 48.5
--------------------------------------------------------------------------------------------------------------------------42. Find the range of the stem-and-leaf plot.
A. 46
B. 44
C. 48.5
D. 45
----------------------------------------------------------------------------------------------------------------------------Use the box-and-whisker plot to answer questions #43 and #44.
43. What percent of the data are between 5 – 8?
A. 20%
B. 25%
C. 50%
D. 75%
----------------------------------------------------------------------------------------------------------------------44. Identify the inter-quartile range (IQR).
A. 14
B. 7
C. 12
D. 9
------------------------------------------------------------------------------------------------------------------------45. A jar has 6 red marbles and 4 blue marbles. You randomly choose two marbles. Find the probability
without replacement that both marbles are red.
A.
9
25
B.
1
3
C.
3
10
D.
1
2
46. What’s the supplement of 62 degrees?
A. 108 
B. 28 
C. 118 
D. 298 
------------------------------------------------------------------------------------------------------------------------Use the diagram for problems #47 and #48. .
47. If the m1  3x and m4  108  , find the value of x.
A. x  36
B. x  12
C. x  16
D. x  24
-------------------------------------------------------------------------------------------------------------------48. Identify the relationship between < 2 and <7.
A. Vertical Angles
B. Corresponding Angles
C. Alternate Interior Angles
D. Alternate Exterior Angles
--------------------------------------------------------------------------------------------------------------------49. What is the sum of the interior angles of a hexagon (6 sides)?
A. 1080 
B. 540 
C. 900 
D. 720 
50. Which graph represents a reflection over the y-axis of the figure?