Study Guide: Midterm Mathematics Course 2
1. What does 35 mean?
F five 3’s
G 3 multiplied by itself 5 times
H 3 times 5
I three 5’s multiplied together
2. Evaluate 4 + 3 ´ 12 ¸ 2.
A 13 C 22
B 20 D 42
3. Evaluate 52 - 3 ´ 5 + 4 ¸ 2.
F 8 H 57
G 12 I 112
4. Simplify 62 • (-10) ¸ -4.
A -90 C 90
B -15 D 240
5. Evaluate the expression a - b for
a = -15 and b = 6.
F –11 H 9
G –21 I 11
6. Evaluate x2 - 3x for x = 4.
A -4 C 20
B 4 D 28
7. Evaluate 2x - 5y for x = 3 and
y = -9.
F -10 H 39
G -8 I 51
8. Write “the quotient of 184 and a number that is decreased by 9” as an algebraic expression.
F 184 ¸ (9 - x)
G 184 ¸ (x - 9)
H (184 ¸ 9) - x
I 184 ¸ x - 9
9. Write the numbers -2, 5, 0, -1, and 3 in order from least to greatest.
A -2, 5, 0, -1, 3
B -2, -1, 0, 3, 5
C 0, -1, -2, 3, 5
D 5, 3, -2, -1, 0
10. Find |-4|.
F -4 H 1
G 0 I 4
11. Find the sum 25 + (-12) + (-9).
A 4 C 26
B 22 D 46
12. Evaluate x + y for x = -5, y = 16.
F -21 H 11
G -11 I 21
13. Find the difference - 21 - 15.
A -36 C 36
B -6 D 6
14. Find the difference 7 - (-8).
F -15 H 15
G -1 I 56
15. Find the product 8 • (-7).
A -56 C 1
B -15 D 56
16. Find the quotient -48 ¸ (-6).
F -42 H 8
G -8 I 54
17. Find the quotient -38 ¸ 0.
A 0 C -38
B undefined D 38
18. Solve the equation 6 • p = -84.
F p = -504 H p = 12
G p = -14 I p = 14
19. Solve the equation 5 + y = 15.
A -10 C 10
B 3 D 20
20. Solve the equation 6r - 3 = 15.
F r = 18 H r = 3
G r = 9 I r = -2
21. Which number is greatest?
A 0.78 C
B 0.83 D
22. Add 17.27 + (-23.56).
F 40.83 H -40.83
G -6.29 I 6.29
23. Which set of numbers is in order from least to greatest?
F 6.8, -6, 6.61, -6
G -6, -6, 6.61, 6.8
H -6, 6.61, 6, 6.8
I -6, 6.8, 6.61,
24. Subtract 19.23 - 3.51. Which is the difference?
A 15.32 C 16.32
B 15.72 D 16.72
25. Find the product. 2.7 • 4.31.
F 1.1637 H 116.37
G 11.637 I 1,163.7
26. Divide: $23.13 ¸ 9.
A $2.57 C $25.70
B $3.00 D $208.17
27. Solve the equation x - 5.89 = 2.3.
F x = -8.19 H x = 3.59
G x = -3.59 I x = 8.19
28. On a recent trip, Josh drove
324 miles and used 12 gallons of
gasoline. Find the unit rate.
F 12 miles per gallon
G 27 gallons per mile
H 27 miles per gallon
I 330 miles per gallon
29. Marlee drove 60 miles using 2 gallons of gas. Which is the unit rate in fraction form?
A C
B D
30. Which of the following ratios are
proportional?
F , H ,
G , I ,
31. Which is the solution to the proportion ?
A x = 15 C x = 30
B x = 20 D x = 60
32. If it costs $2.60 to purchase
4 croissants, how much would it
cost to purchase 7 croissants?
F $3.25 H $4.55
G $3.90 I $5.20
33. Which set of side lengths is for a triangle similar to the triangle below?
A 7 m, 6 m, 8 m B 6 m, 5 m, 8m
C 8 m, 6 m, 10 m D 12 m, 9 m, 14 m
34. A 5-foot pole casts a shadow of
15 feet. How tall is a tree that casts
a shadow of 33 feet?
F 11 feet H 99 feet
G 19 feet I 165 feet
35. Find the unknown lengths, a and b,
in the pair of similar triangles.
A a = 5 m and b = 30 m
B a = 10 m and b = 25 m
C a = 25 m and b = 10 m
D a = 30 m and b = 5 m
36. On a map, the distance between two cities is 7.3 cm. What is the actual distance between these two cities if the map scale is 1 cm:50 km?
F 365 cm H 400 km
G 365 km I 500 km
37. Find the unknown lengths, a and b,
in the pair of similar triangles.
A a = 5 m and b = 30 m
B a = 10 m and b = 25 m
C a = 25 m and b = 10 m
D a = 30 m and b = 5 m
38. Which mixed number is equivalent to ?
F H
G I
39. Which decimal is equivalent to ?
A 1.22 C 11.9
B 0.119 D
40. Solve the equation b - 23 = 14.
A -37 C 9
B -9 D 37
41. Solve the equation = 64.
F 4 H 256
G 16 I 1,024
42. Write 36,000,000,000 in scientific notation.
A 0.36 ´ 1010 C 3.6 ´ 1010
B 3.6 ´ 109 D 36 ´ 1010
43. Determine which number is a
solution of 7n = 56.
A 8 C -8
B 11 D 49
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