1. Name ________________________________________ Date ________________________
Mrs. Labuski / Mrs. Portsmore Period ______________ Final Review R1
Unit 1: Expressions & Equations Approximate Pacing: 13 days
NYS CCLS Topic Textbook On Core Vocabulary
6.EE.1 Exponents 1-3 3-1 power, base, exponent,
exponential form, squared, cubed
6.EE.2c Order of Operations 1-4 - order of operations, evaluate,
numerical expression, sum,
product, quotient, difference,
factor
6.EE.2b
6.EE.2a
Variables & Expressions 2-1 3-2 / 3-3 / 3-4 variable, constant, algebraic
expression, term, coefficient,
6.EE.2a Translating Between Words & Math 2-2 3-2 / 3-3 see chart on p. 53 of text
6.EE.5 Equations & Solutions 2-3 4-1 equation, solution
Common task: How Much Paint? (On Core p. 77-80)
Unit 2: Solving Equations & Inequalities Approximate Pacing: 12 days
NYS CCLS Topic Textbook On Core Vocabulary
6.EE.7 Solving & Writing Adding Equations 2-4 4-2 inverse operation
6.EE.7 Solving & Writing Subtraction Equations 2-5 4-2
6.EE.7 Solving & Writing Multiplication Equations 2-6 4-3
6.EE.7 Solving & Writing Division Equations 2-6 4-3
6.EE.9 Equations, Tables, & Graphs - 4-4 dependent variable, independent
variable, input, output
6.EE.5 / 6.EE.6 /
6.EE.8
Write Inequalities & Identify / Graph Solutions
of Inequalities
4-5 greater than, less than, greater
than or equal to, less than or
equal to
Common task: Travel Plans (On Core p. 106-108)
Unit 3: Decimals Approximate Pacing: 12 days
NYS CCLS Topic Textbook On Core Vocabulary
5.NBT.1 Place Value / Comparing / Ordering
~Billions to Millionths
3-1 -
6.NS.3 Adding Decimals
~Addition of whole number review
~Review perimeter with decimals
3-2 1-3
6.NS.3 Subtracting Decimals
~Subtraction of whole number review
3-2 1-3
6.NS.3 Multiplying Decimals
~Review whole # multiplication (4-digit by
3-digit)
3-6
p. 666
1-4
6.NS.2 Division of Whole Numbers p. 667 - divisor, dividend, quotient
6.NS.3 Dividing Decimals by Whole Numbers
Dividing Decimals by Decimals
3-7 / 3-8 1-5
6.NS.1 / 6.NS.2
6.NS.3
Problem Solving with Decimals 3-9 p. 29-32
6.EE.7 Solving Decimal Equations 3-10 embedded
in 4-2 & 4-3
Common task: Punting a Football
1. Calculate: 42
+ 12 - 2 =

2. 2. Evaluate the expression (x2
+ y) - x when x = 2, and y = 6.
3. Which of the following steps should be performed first in simplifying the expression: (32
+ 4 - 2)×(5 - 6)?
A. 5 - 2 B. 32
C. 4 - 2 D. 2 × 5
4. Evaluate the expression x - y + 6, when x = 8 and y = 4.
5. What is the value of 3 × 6 ÷ 2 + 8?
6. Distribute 3(x + 2).
A. 3x + 1 B. 3x + 2 C. 3x + 6 D. x + 6
7. Combine like terms to simplify 3x + 5 + 2x.
A. 5x + 5 B. 3x + 7 C. x + 5 D. 3x + 2
8. Combine like terms to simplify the expression 4m + 2n - m - n.
A. 5m + 3n B. 5m - 3n C. 3m + n D. 3m - n
9. Simplify: 6t + t
10. Which expression is equivalent to 4x + 3 - 2x + 5?
A. 2x + 8 B. 7x - 3 C. 6x + 8 D. 12x + 8
11. Which expression correctly simplifies 4(x - 5)?
A. 4x + 5 B. 4x + 20 C. 4x - 5 D. 4x - 20
12. Simplify 5x + x.
A. 4x B. 6x C. 1 + 5x D. 5 + x
13. Simplify 3r + 2r + r.
A. 5r B. 7r C. 6 + r D. 6r
14. Simplify 2(x + 3).
A. x - 6 B. x + 6 C. 2x + 6 D. 2x - 6
15. Simplify 7(2x - 4)
A. 14x + 28 B. 14x + 4 C. 14x -28 D. 14x - 4
16. Combine like terms and simplify: 6x + 4 + 5x.
A. 10x + 5 B. 6 + 9x C. 30x + 4 D. 11x + 4
17. Combine like terms and simplify 16y + 9 + 4 + 4y.
A. 20y + 12 B. 24y + 8 C. 20y + 13 D. 24 + 8y
18. Combine like terms and simplify 4r + 6 - 2r + 5.
A. 2r - 11 B. 10r + 7 C. 10r - 3 D. 2r + 11
19. Which expression is equivalent to 4s + 3 - 3 - s?
A. 3s + 6 B. 4s + 0 C. 3s D. 3s + 1
20. Which expression is equivalent to 6w + 5 - 3w + 7?
A. 9w + 2 B. 3w + 12 C. 11w - 4 D. 11w + 4
21. Which expression is equivalent to 3d - d + 4 + d?

3. A. 4d + 4 B. 4d - 4 C. 3d - 4 D. 3d + 4
22. Simplify the expression 5g + 5 - 2g + g + 5h.
A. 5h - 4g + 5 B. 5h + 4g + 5 C. 5h + 4g - 5 D. -5h + 4g + 5
23. Which variable expression is equivalent to a number decreased by 7?
A. x - 7 B. 7 + x C. 7 ÷ x D. 7x
24. Which phrase could not represent the expression 4 + x?
A. The product of 4 and a number
B. The sum of 4 and a number
C. The total of 4 and a number
D. A number added to 4
25. Write an expression for one-half of 10.
A. 10 + 5 B. 10 − 5 C. 10 × 5 D. 10 ÷ 5
26. A piece of construction equipment uses two gallons of fuel per hour. Match the sentence with an
appropriate variable expression: the amount of fuel it uses for a given number of hours.
A. 2 - h B. h + 2 C. h ÷ 2 D. 2h
27. How can you express "7 decreased by a number" as a variable expression?
A. 7 − n B. n − 7 C. 7 ÷ n D. n ÷ 7
28. How can you write the quotient of m and 9 as a mathematical expression?
A. 9m B. m + 9 C. m − 9 D. m ÷ 9
29. Which variable expression is the same as the sum of 4 and the product of 6 and j?
A. 4 − 6j B. 4 + 6j C. 4j + 6 D. 4(6j)
30. Which variable expression is equal to 12 increased by a number?
A. x − 12 B. 12 + x C. 12x D. 12 ÷ x
31. Which variable expression is equal to twice a number increased by 11?
A. 2x + 11 B. 2 + 11x C. x + 2 + 11 D. 11x(2)
32. Which variable expression is equal to 5 decreased by twice a number?
A. x − 5 + 2 B. 5 + 2x C. 5 − 2x D. 2x − 5
33. Which phrase does not represent 12 + n?
A. The sum of 12 and a number.
B. The total of 12 and a number.
C. 12 + a number.
D. The product of 12 and a number.
34. Which phrase represents 12n + 5?
A. The product of 12 & a number, increased by 5.
B. The sum of 12 and a number increased by 5
C. The total of 12, a number, and 5.
D. The total of 12 increased by 5 and a number.
35. Which of the following mathematical expressions represents the quotient of m and 15?
A. m ÷15 B. 15m C. 15 ÷ m D. 15 × m
36. Which variable expression is the same as the sum of 5 and the product of 10 and n?
A. 5 + 10n B. 5n + 10 C. 10 + 5n D. 5(n + 10)
37. How would you write of a number increased by 5 times that same number as a variable expression?

4. A. y(5) B. 5y( ) C. 5y + 2y D. y + 5y
38. Match the sentence with an appropriate variable expression: Sal pays 5 dollars for every tee shirt he buys.
A. 5 + s B. 5s C. s ÷ 5 D. 5 + s
39. Match the sentence with an appropriate variable expression: Jeremy’s family drove 30 miles on Monday
and then drove a certain number of miles on Tuesday. What is the total amount that Jeremy’s family drove?
A. 30 + m B. 30m C. 30 ÷ m D. 30m + 30
40. Match the sentence with an appropriate variable expression:
Marty had 100 baseball cards and gave away a certain amount of them.
A. x - 100 B. 100 - x C. 100x D. 100 ÷ x
41. Match the sentence with an appropriate variable expression:
The number of miles that a plane can travel on 50 gallons of fuel.
A. x + 50 B. 50x C. 50 ÷ x D. 50 - x
42. Find the solution of 21 = 9 + q
43. Solve the equation. z + = 1.
A. z = 1
B. z = C. z = 2 D. z =
44. Solve for the equation. u + 3.5 = 5
A. u = 1.2 B. u = 1.3 C. u = 1.4 D. u = 1.5
45. Solve for x: x + 5.7 = 8.2
A. x = 2 B. x = 2.5 C. x = 3 D. x = 3.5
46. Solve the equation: y + 9 = 13 .
A. y = 3
B. y = 3
C. y = 4
D. y = 4
47. Use algebra to solve for k: k − 6.5 = 9.8.
48. Use algebra to solve for g: g − 3.4 = 5.9.
49. Use algebra to solve for x: x - = .
A. x = B. x = C. x = D. x =
50. Solve the equation: x + = . Express your answer in simplest form.
51. Use algebra to solve for x: x + 3.5 = 9.6

5. 52. What is the solution of t - = 3 ?
A. t = 4 B. t = 4
C. t = 5
D. t = 2
53. Solve: 3(x + 2) = 30
54. Combine like terms and solve: x + 2x = 90.
55. Simplify and solve 5t − 2 − t = 14.
56. When you solve 4(x + 2) = 22, you must simplify the equation first. What would the first step look like?
A. 4x + 8 = 22 B. 4x + 2 = 22 C. x + 8 = 22 D. x + 2 = 22
57. When solving equations, sometimes you have to simplify the equation first.
When solving 3x + 2 + x + 6 = 25, what might your first step look like?
A. 3x + 8 = 25 B. 3x - 4 = 25 C. 4x + 8 = 25 D. 4x - 4 = 25
58. Use the distributive property to solve: 2(x + 3) = 15. Express as a decimal.
59. Solve the inequality: 3x < 15.
60. Which inequality represents the statement that the temperature is more than 90°?
A. t < 90° B. t > 90° C. t ≤ 90° D. t ≥ 90°
61. Find q: 4q - 2 ≤ 18.
62. Solve the inequality: 12 ≥ k − 5.
63. The graph shows which inequality?
A. x > 3 B. x ≥ 3 C. x < 3 D. x ≤ 3
64. The graph is of which inequality?
A. x < 1 B. x ≤ 1 C. x ≥ 1 D. x > 1
65. The graph represents which inequality?
A. x ≥ 2 B. x > 2 C. x < 2 D. x ≤ 2
66. The number line shows the graph of which inequality?
A. x ≥ −1 B. x ≤ −1 C. x > −1 D. x < −1
67. Find x in the equation .
A. 21 B. 28 C. 35 D. 42
68. Use algebra to solve 1.6x = 12.8.
A. x = 6 B. x = 7 C. x = 8 D. x = 9
69. What is the value of m in the equation ?

6. 70. Solve for q: 3.5q = 24.5
71. Solve the equation: t = 33
72. Find the value of a2
- b if a = 3 and b = 5.
A. 14 B. 4 C. 2 D. 11
73. Which number is not a member of the solution set of the inequality 4x ≥ 18?
A. 4.4 B. 4.5 C. 4.6 D. 4.7
74. What is the correct verbal expression for the given algebraic equation: 2x + 3 = 4.
A. Twice a number decreased by 3 is 4.
B. Twice a number is -1.
C. Twice a number increased by 3 is 4.
D. A number squared increased by 3 is 4.
75. What is the correct verbal expression for the given algebraic equation, 3x - 6 = 2?
A. Three times a number decreased by -6 is 2.
B. Three times a number decreased by 6 is 2.
C. Twice a number increased by 3 is 4.
D. A number cubed decreased by 6 is 2.
76. What is the correct verbal expression for the algebraic expression x - 7?
A. One-half a number decreased by -7
B. One-half a number increased by 7
C. Twice a number increased by 7
D. One-half a number decreased by 7
77. Which graph represents the solution set of the inequality 2(x + 4) > 2?
A.
B.
C.
D.
78. Which inequality represents the translation of the following sentence?
"Twice a number increased by four is more than 7."
A. 2x + 4 < 7 B. 2x - 4 > 7 C. 2x + 4 > 7 D. 2x + 4 ≤ 7
79. Which inequality represents the translation of the following sentence?
"Half a number is less than four more than the same number."
A. < 4 + x
B. ≤ 4 + x
C. 2x > x + 4
D. > x + 4
80. Which inequality represents the translation of the following sentence?
"The product of a number and three is less than or equal to that number decreased by five."
A. 3x ≤ 5 − x B. 3x ≥ x − 5 C. 3 + x ≤ x − 5 D. 3x ≤ x − 5
81. Which inequality represents the translation of the following sentence?
"Four more than two times a number is less than or equal to five."
A. 4 + 2x > 5
B. 2x + 4 < 5
C. 4 + 2x ≥ 5
D. 2x + 4 ≤ 5

7. Name ________________________________________ Date ________________________
Mrs. Labuski / Mrs. Portsmore Period ______________ Final Review R1 Answer Key
1. 26 42. 12
2. 8 43. D
3. B 44. D
4. 10 45. B
5. 17 46. D
6. C 47. 16.3
7. A 48. 9.3
8. C 49. B
9. 77 50. ¼
10. A 51. 6.1
11. D 52. B
12. B 53. 8
13. D 54. 30
14. C 55. 4
15. C 56. A
16. D 57. C
17. C 58. 4.5
18. D 59. x<5
19. C 60. B
20. B 61. q ≤5
21. D 62. 17≥k
22. B 63. B
23. A 64. A
24. A 65. D
25. B 66. C
26. D 67. B
27. A 68. C
28. D 69. 4.8
29. B 70. 7
30. B 71. 99
31. A 72. B
32. C 73. A
33. D 74. C
34. A 75. B
35. A 76. D
36. A 77. B
37. D 78. C
38. B 79. A
39. A 80. D
40. B 81. D
41. B