Pre-Algebra Final Review -Part 1
Evaluate the expression when x = 2, y = 4, z = -3.
1.
A. -17 B. -5 C. 1 D. 7
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2.
A. B. 6 C. D. -6
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3. State the absolute value and the opposite of the number -10.
A. Absolute value 10 B. Absolute value 10
Opposite -10 Opposite 10
C. Absolute value -10 D. Absolute value -10
Opposite -10 Opposite 10
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4. Which letter corresponds with point (3, -2) ?
A. A B. B C.C D. D
5. Identify the property that the statement illustrates: x + (y + z) = (x + y) + z
A. Associative Property of Addition
B. Commutative property of Addition
C. Additive Identity
D. Distributive property
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6. Simplify: 8x + 18 + 12x - 23
A. 20x - 5
B. 26x - 11x
C. 30x – 15x
D. 26x + 35x
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7. Simplify: -4(5x – 10) + 22
A. -20x + 62
B. 20x + 40
C. -20x - 62
D. -20x - 18
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8. Breanna makes $72 for 4 hours of babysitting. How much can she expect to make if she babysits for 12 hours?
A. $216
B. $180
C. $150
D. $175
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9. Solve: -14x = - 56
A. x = -4
B. x = 4
C. x = -42
D. x = -70
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10. Solve: -6y + 9 = -27
A. y = -3
B. y = 3
C. y = 6
D. y = -6
11. Solve: 5(10 – 9a) = 68
A. a = -9
B. a = 2
C. a = 13
D. a = -2
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12. Solve: 4x – 3 = 2x + 15
A. x = -3
B. x = 9
C. x = 3
D. x = -9
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For problems 13 and 14, solve and graph the inequality.
13. x – 12 > -6
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14. -5x – 3 28
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15. Find the GCF: 4a, 12a2
A. 4a B. 12a2 C. 12a D. 4a2
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16. Find the LCD: 5y, 30y5
A. 5y B. 30y5 C. 5y5 D. 30y
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For problems 17-19, find the product or quotient. Write your answer using only positive exponents.
17.
A. B. C. D.
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18.
A. B. C. D.
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19.
A. B. C. D.
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20. Simplify:
A. B. C. D.
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21. Solve:
A. x B. x < C. x D. x <
22. Solve:
A. 3 B. 4.67 C. 8.4 D. 0.3
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Given ABCD ~ EFGH, find the indicated measure for problems 23 and 24.
23.
A. 180 degrees B. 120 degrees C. 60 degrees D. 40 degrees
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24. GH
A. 112.5 cm B. 450 cm C. 150 cm D. 50 cm
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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?
A. B. C. D.
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
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Solve the proportion.
27.
A. 90 B.95 C. 98 D. 102
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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
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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
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30. Find the slope of a line through the points (5, 10) and (1, - 5)
A. B. C. D.
31. Find the solution to the following system of equations.
A. (5,-2) B. (-2,5) C. (-5,2) D. (2,-5)
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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
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34. Find the hypotenuse given side lengths of 9, 12.
A. B. 15 C. D. 6.5
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35. Find the missing side.
A. 200 cm B. 15 cm C. 20 cm D. 40 cm
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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
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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
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38. Circle: r = 19 yd
A. A = 1133 yd2 B. A = 119 yd2 C. A = 1134 yd2 D. A = 4534 yd2
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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
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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 cm2
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
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42. Find the range of the stem-and-leaf plot.
A. 46 B. 44 C. 48.5 D. 45
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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%
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44. Identify the inter-quartile range (IQR).
A. 14 B. 7 C. 12 D. 9
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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. B. C. D.
46. What’s the supplement of 62 degrees?
A. B. C. D.
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Use the diagram for problems #47 and #48. .
47. If the , find the value of x.
A. B. C. D.
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48. Identify the relationship between < 2 and <7.
A. Vertical Angles B. Corresponding Angles
C. Alternate Interior Angles D. Alternate Exterior Angles
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49. What is the sum of the interior angles of a hexagon (6 sides)?
A. B. C. D.
50. Which graph represents a reflection over the y-axis of the figure?