Name__________________________________________________ Date__________
M7 HONORS TRIMESTER 3 FINAL REVIEW – DO NOT WRITE ON THIS
Evaluate.
1. | –11 + 13 |
2. | –5 | + | 13 |
3. –12 + 7 + (–4)
4. –4 – (–12)
5. –8 – 22 + 6
6. 6 – | –4 |
7. –5(–3)(3)
8. 5(–7 + 2)
9. –36 ÷ (–9) – 3
Evaluate. Write your answers in simplest form.
2 æ 3ö
1 æ 5ö
10. - + ç - ÷
11. -1 - ç - ÷
5 è 4ø
7 è 14 ø
13. 0.5 +
2
– (–8)
7
1
14. - + 0.3+ (–2)
5
16. Evaluate the expression when x = –x – 3y
3 æ 9ö
12. 1 + ç - ÷
8 è 16 ø
5 2
15. - ·1
7 5
1
5
and y = .
4
6
17. You can read 24 pages in 80 minutes. At this rate, how many pages would you be able to read in
one hour?
18. Bob purchased 3 burgers for $4.20. How much would 7 burgers cost?
19. A map has a scale of 1 cm: 5 km. What is the distance on the map if the actual distance is 18 km?
20. 12 is what percent of 80?
21. What number is 2.5% of 50?
22. 18 is 20% of what number?
23. The TV was originally priced at $400. It was on sale for $250. What was the percent change in
the price?
24. A $3,000 LCD TV is on sale for 40% off. What is the sale price?
25. The sale price of a shirt is $30. If the discount was 40% off the original price, then what was the
original price?
26. What is the final price for a $800 guitar including a 9% sales tax?
Simplify the following expression.
27. 14x – 9 + 4(x + 3)
28. 8 + 5x – 2(3x – 4)
Simplify the following using the Distributive Property.
29. –7(3x – 2)
30. 8(3 + 4x)
31. (–3x + 9)(–2)
Solve the following.
3
x–8=4
4
34. 9 – 0.3x = 15
32. 0.4x + 6 = 8.4
33.
Graph the following inequalities.
35. x > 2
36. x ≤ –3
37. –4 < x
Solve.
38. 3 – 2x < –21
39. –5x + 45 ≤ – 5
40. 3x + 6 > –15
41. Find the perimeter of the semicircle. Use 3.14 for π.
42. Find the area of the semicircle above. Use 3.14 for π.
Find the area of each figure. Use 3.14 for π.
43.
44.
Find the surface area and volume of each prism.
45.
46.
Determine whether each graph represents a function.
47.
48.
50. If f(x) = 3x – 9, then what does f(–4) equal?
49.
51. If f(x) = 4 – 5x, then what does f(3) equal?
52. Which of the following is a solution to 2x + y = –9?
[A] (0, 9)
[B] (4, 5)
[C] (–1, 8)
[D] (2, –13)
Find the x and y intercepts of the following equations.
53. 4x – 6y = –24
54. –3x + 6y = 30
x-intercept:_______ y-intercept:_______
x-intercept:_______ y-intercept:_______
Find the slope of the line that passes through the following points.
55. (–1, 3) and ( 2, 3)
56. (3, 8) and (–5, 2)
58. Find the slope of the graph.
What is the equation of the each graph?
59.
60.
61. Circle all the equations that show an example of direct variation?
[A] y = 2x
[B] y = 2x + 3
[C] y = –2x
x
2
[E] 2x + y = 3
[F] y =
[D] y =
2
x
62. What rule is represented by the following table?
x
0
3
5
7
y = ________________
y
–4
–1
1
3
63. Using the table below, what is the y-value when the x-value is 20?
x
–1
3
6
7
y
5
–15
–30
–35
57. (6, –1) and (–3, –7)
Evaluate the expression when x = –4 and y = 3.
64. 2x 2 + 10y
65. x –2 – y0
66. 5x –2 + 3y0
Simplify. Write your answer using positive exponents.
67. 7x 2 •5x
68. (6x5 )(–2x 3 )(3x –2 )
69.
x8
x2
70.
x 3y 5
x6y
Write the following in scientific notation.
71. 0.000607
72. 42,500,000,000
Write the following in standard form.
73. 5.6 x 105
74. 6.42 x 10–5
Estimate each square root to the nearest integer.
75.
76.
27
79
Find each square or cube root.
77.
78.
2916
3
5832
79. Circle all the numbers that are not rational.
– 81
169
2
4π
–0.1
0
4.7