Operations Involving Fractions
Simplify.
You must show all work for full credit. All FINAL ANSWERS must be marked on the
ANSWER SHEET.
1.
!
!
!
+!
8.
!
!
2. 5 ! − 2 !
!
!
3. 6 ! + 3 !
9.
!
!
÷!
!
!!
!"
∙3
!
!
10. !" ∙ !
!
4. 6 + 3 !
!
!
!
5. 2 ! + 2 !
!
!
11. 5 ! ∙ 4 !
!
12. 3 ∙ 5 !
!
13. 5 ÷ !
!
14. 9 ! ÷ 2 !
6. 7 ! − 2 !
7. 20 − 8 !
!
!
!
Operations Involving Decimals
Simplify.
You must show all work for full credit. All FINAL ANSWERS must be marked on the
ANSWER SHEET.
15. 5.038 + 2.96
20. 0.05 ∙ 0.7
16. 16 + 1.6 + 0.517
21. 17.03 ÷ 9
17. 27 − 10.4
22. 4.82 ÷ 45
18. 9.006 − 4.44
23. 3.25 ÷ 0.5
19. 4.8 ∙ 6.9
24. 23.24 ÷ 2.8
Order of Operations and Variables
Simplify.
You must show all work for full credit. All FINAL ANSWERS must be marked on the
ANSWER SHEET. Note: This section is multiple choice – only write the letter of the correct
answer on the answer sheet.
25. Evaluate: 22 + (32 − 42 )
A. -15
C. 20
B. 15
D. 29
26. Simplify: 4 x + 5 y − 2 + 8 y − x
A. 5 x + 13 y 2 − 2
C. 14xy
B. 5 x + 13 y − 2
D. 3x + 13 y − 2
27. Evaluate: − 10 − (−2) • (−43 )
A. -138
C. -36
B. -18
D. 138
& 1#
28. Evaluate: $ − !
% 4"
3
A. −
1
12
C.
1
12
B. −
1
64
D.
1
64
29. Simplify: 4( x + 6) − 3(7 − x)
A. 7 x + 3
C. 3 x − 15
B. x + 3
D. 5 x + 3
(
30. Evaluate: 33 − 9
2
)
A. 0
C. 324
B. 36
D. 648
31. Evaluate 5 x + 2 y 2 − y 3 when x = 2 and y = 4 .
A. -38
C. 6
B. -22
D. 20
32. Evaluate u + 3v 2 − 2u 3 when u = −1 and v = −3 .
A. -36
C. 30
B. 28
D. 88
Writing Expressions and Equations
Translate:
You must show all work for full credit. All FINAL ANSWERS must be marked on the
ANSWER SHEET. Note: This section is multiple choice – only write the letter of the correct
answer on the answer sheet.
33. Write an algebraic expression for the verbal phrase: 1 less than the quotient of a number n
and 6
A. 6n − 1
B.
n
−1
6
C. 1 −
n
6
D. 1 − 6n
34. Write an algebraic expression for the verbal phrase: 12 times the quantity of 15 minus a
number d
A. 12 •15 − d
C. 12(15 − d )
B. 12(d − 15)
D. 12(15 + d )
35. Write the algebraic expression in words: 5c + 12
A. 12 more than 5 times the number c
C. 5 times the quantity of a number
c plus 12
B. the quotient of 15 and number c plus 12
D. The difference of 5 and a
number c plus 12
36. Write the algebraic expression in words: 9(t + 3)
A. 9 times a number t plus 3
C. 9 times the quantity of a number t
plus 3
B. The product of 9 and a number t plus 3
D. 9 more than a number t plus 3
Equations, Proportions and Inequalities
Solve.
You must show all work for full credit. All FINAL ANSWERS must be marked on the
ANSWER SHEET. Note: This section is multiple choice – only write the letter of the correct
answer on the answer sheet.
37. Solve the proportion:
A. a =
1 6
=
a 18
1
3
C. a = 12
B. a = 3
D. a = 108
38. Solve the inequality: 20 ≤ −5 y
A. y ≤ −4
C. y ≥ −4
B. y ≥ 4
D. y ≤ 4
39. Which of the following inequalities is represented by the graph below:
A. 1 < 3h + 4 < 16
C. h − 1 > 2
B. 4h < 12 or − x < 2
D. 2 < 2h + 2 ≤ 4
40. Solve the proportion:
5
10
=
a a +1
1
5
A. a = −1
C. a =
B. a = 1
D. a = 2
41. Solve the inequality: 4 y + 3 ≥ −9
A. y ≥ −3
C. y ≤ 3
3
2
D. y ≥ 3
B. y ≥ −
42. Solve the proportion:
2h − 6 2
=
6
3
A. h = 3
C. h = 5
B. h = 5
D. h = 15
43. Solve the absolute value equation: r + 3 = 7
A. {4}
C. {-4, 10}
B. {-10}
D. {-10, 4}
44. Solve and Graph the Compound Inequality: − 2 < 4 x − 10 < 6
A. 4 < x < 12
C. − 16 < x < −8
B. − 3 < x < 1
D. 2 < x < 4
45. Write an inequality for the graph below:
A. x < −1
C. x > −1
B. x ≤ −1
D. x ≥ −1
46. Write an inequality for the graph below:
A. x > −3
C. x ≥ −3
B. x < −3
D. x ≤ −3
47. Solve the inequality: 3( x − 4) < −15
A. x < −
11
3
B. x < −1
C. x < 3
D. x > −1
48. An online music club sells compact discs for $7.00 each plus $1.95 shipping and handling
per order. If
Maria’s total bill was $85.95, how many CD’s did Maria purchase?
A. 9
C. 13
B. 12
D. 40
Open Response Word Problems:
49. Suzy is selling cookies for $0.25 plus $0.05 for the box. Let x be the number of cookies you
buy. If you paid $4.30 for your order, how many cookies did you buy? (Write an equation and
solve)
50. Suzy is selling cookies for $0.25 plus $0.05 for the box. Let x be the number of cookies you
buy. How much will you pay for 14 cookies? (Write an equation and solve)
Solve Multi-Step Equations – Concept Check # 1
The following 10 multiple choice questions have a separate answer sheet. These 10 questions
WILL NOT count as part of the grade for this packet or the 40% of the test. It WILL count as
the baseline (starting) data for Solving Equations.
1. Solve:
x
−4 = 6
4
A. x = 8
C. x = 28
B. x = 24
D. x = 40
2. Solve:
1
(4 x − 6) + 2 x = −3( x − 6)
2
30
13
A. x = 0
C. x =
B. x = 3
D. x = 7
3. Solve: 2( x + 5) + 4 x = 46
41
6
A. x = 6
C. x =
B. x = 18
D. x = −18
4. Solve:
1
(3x + 9) = 2( x + 7)
3
A. x = 11
B. x = −
13
7
C. x = 2
D. x = −11
5. Solve: 2(3x − 7) = 4 x + 2
A. x = 8
B. x =
8
5
C. x =
9
2
D. x = −16
6. Solve:
2(−x − 3)
=7
2
1
2
A. x = −10
C. x = −
B. x = −4
D. x = 10
7. Solve: 2( x + 3) = −4( x + 3)
A. x = 9
C. x = −3
B. x = 3
D. x = 1
8. Solve:
2 x + 24
= 2x
4
A. x = −4
C. x = 16
B. x = 4
D. no solution
9. Solve: 2 x + 4( x − 1) = 7( x − 1)
A. x = 0
B. x =
10. Solve:
C. x = 3
3
5
D. x = 11
5( x + 2)
= 6 x + 12
5
A. x = −10
B. x = −
10
29
C. x = 2
D. x = −2