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Worksheets

Gr6 EOM 4 Review

Total questions: 96

Worksheet time: 4hrs 44mins

Name
Class
Date
1.

What expression represents "8 more than x"?

a)

x - 8

b)

x ÷ 8

c)

5 + 8 + x

d)

8 + x

2.

Which number is the solution to n – 2.7 = 5.4?

a)

2.7

b)

3.7

c)

7.1

d)

8.1

3.

What expression represents "8 more than x"?

a)

x - 8

b)

x ÷ 8

c)

5 + 8 + x

d)

8 + x

4.

2. What expression represents "The difference of 5 and the product of 8 and x"?

a)

x - 8

b)

x ÷ 8

c)

5 - 8x

d)

5(8 + x)

5.

What expression represents "The quotient of x and 8"?

a)

x – 8

b)

x ÷ 8

c)

5 + 8 + x

d)

8 + x

6.

2. What expression represents "The product of 5 and the sum of 8 and x"?

a)

x - 8

b)

x ÷ 8

c)

5 - 8x

d)

5(8 + x)

7.

2 Part B. What is the correct description for the expression (x - 9)?

a)

9 subtracted from x

b)

The quotient of 9 more than x and x

c)

x subtracted from 9

d)

The quotient of x and the sum of 9 and x

8.

What is the correct description for the expression ( x(9 - x) )?

a)

The product of 9 and the sum of x and 9

b)

The product of x and the difference of 9 and x

c)

The quotient of 9 more than x and x

d)

The quotient of x and the sum of 9 and x

9.

2 Part B. What is the correct description for the expression ( x / (9 + x) )?

a)

The quotient of x and the sum of 9 and x

b)

The product of 9 and the sum of x and 9

c)

9 subtracted from x

d)

The quotient of 9 more than x and x

10.

3 Part A: Circle an answer choice in the box to make the statement true. Riley made a mistake in step ______.

a)

1

b)

2

c)

3

d)

4

11.
  1. 3 Part C. Which expression is equivalent to 7 + 5(y + 4) - 2y?

a)

A. 27 + 7y

b)

B. 27 + 3y

c)

C. 13 + 3y

d)

D. 11 + 7y

12.

  1. 4. Choose all the numbers that make 3x + 2 > 17 a true number sentence.

a)

0

b)

5

c)

6

d)

12

e)

15

13.
  1. 5. Lacy and Sasha each have baseball cards. Lacy has b baseball cards. Sasha has 4 fewer baseball cards than Lacy. Which expression represents the total number of baseball cards Lacy and Sasha have?

a)

4b

b)

b – 4

c)

b + 4b

d)

b + (b – 4)

14.

6 Part A Consider x + 76.5 = 135.75. Solve for x.

a)

x = 59.25

b)

x = 59.75

c)

x = 212.25

d)

x = 211.75

15.

Write a word problem that can be solved by using x + 76.5 = 135.75.

4 lines
16.
  1. 7. How would you graph the solution to the inequality x < -1.5 on a number line?

a)

Shade the region to the right of -1.5

b)

Shade the region to the left of -1.5

c)

Place a closed circle on -1.5 and shade to the right

d)

Place an open circle on -1.5 and shade to the left

17.
  1. 8. Toy A costs $⁢6.00 more than toy B. What is the total cost of toy A and toy B?

    Can each pair of defined variables and equation be used to represent this problem? Select all that apply.

a)

Let b represent the cost of toy B in dollars. Let c represent the total cost of toy A and toy B in dollars. c = b + (b + 6)

b)

Let b represent the cost of toy B in dollars. Let c represent the total cost of toy A and toy B in dollars. c = b + (b - 6)

c)

Let a represent the cost of toy A in dollars. Let c represent the total cost of toy A and toy B in dollars. c = a + (a + 6)

d)

Let a represent the cost of toy A in dollars. Let c represent the total cost of toy A and toy B in dollars. c = a + (a - 6)

18.
  1. 9. Consider the relationship between distance (d) in miles and time (t) in hours represented in the table.

a)

t = 14d

b)

t = d/14

c)

d = t/14

d)

d = 14t

19.
  1. 10. The sixth-grade teachers want to take their students on a field trip to the water purification plant. For the field trip to happen, at least 88 students must sign up. A total of 52 students have signed up for the field trip. 

    Write and solve an inequality that represents the additional number of students � who need to sign up for the field trip. 

a)

s + 52 ≥ 88

b)

s + 52 < 88

c)

s + 88 ≥ 52

d)

88 - s ≥ 52

20.

Which cell phone plan is the best deal for Penelope?

SuperCell: M = 0.1C + 12

Global Cellular: M = 0.3C

a)

If she makes less than 100 calls, then Global Cellular is the best deal. If she makes more than 100 calls, SuperCell is the best deal.

b)

If she makes more than 100 calls, then Global Cellular is the best deal. If she makes less than 100 calls, SuperCell is the best deal.

c)

If she makes less than 60 calls, then Global Cellular is the best deal. If she makes more than 60 calls, SuperCell is the best deal.

d)

If she makes more than 60 calls, then Global Cellular is the best deal. If she makes less than 60 calls, SuperCell is the best deal.

21.

Show the relationship between the number of weeks and Samantha's savings, using an expression.

a)

80w + 20 = s

b)

80S + 20 = w

c)

20s + 80 = w

d)

20w + 80 = s

22.

How many weeks will Samantha have to work to earn enough to buy the PlayStation? (Remember: 20w + 80 = 800)

a)

48

b)

36

c)

39

d)

42

23.

Let x represent the number of people. Write an inequality to describe the maximum allowance of people allowed in the elevator at one time.

a)

x > 8

b)

x > 8

c)

x < 8

d)

x < 8

24.

Which number line combination would represent all possible solutions to the number of people that are allowed at one time in the elevator?

a)

Closed circle, shaded to the right of 8 on the number line

b)

Closed circle, shaded to the left of 8 on the number line

c)

Open circle, shaded to the right of 8 on the number line

d)

Open circle, shaded to the left of 8 on the number line

25.

Let w represent the amount of weight in pounds. Write an inequality to describe the maximum weight allowance in the elevator at one time.

a)

w < 1,600

b)

w < 1,600

c)

w > 1,600

d)

w > 1,600

26.

Which number line combination would represent all possible solutions to the weight allowance for the elevator?

a)

Open circle, shaded to the right of 1600

b)

Open circle, shaded to the left of 1600

c)

Closed circle, shaded to the right of 1600

d)

Closed circle, shaded to the left of 1600

27.

Trey's father checks his mileage and notices that he drove 36 miles between his house and stop 3. Which equation matches the situation?

a)

12g = 36

b)

36g = 9

c)

36g = 12

d)

9g = 36

28.

How many miles does each gridline represent? (Type just the number)

(a)  

29.

Using this information, determine how many total miles Trey's father will travel from home to the baseball field, assuming he made every stop. (Type just the number of miles)

(a)  

30.

At the end of practice, Trey's father dropped off team members at each stop and went back home. How many miles did Trey and his father travel all together? (Type just the number of miles)

(a)  

31.

Evaluate the equation x + 7 = -11, then type your solution below.

(a)  

32.

Look at the pattern. What do you notice about the number of cubes in each figure?

a)

The number of cubes doubles between each figure

b)

The number of cubes decreases by two between each figure

c)

The number of cubes increases by two between each figure

d)

The number of cubes in each figure have no relationship to each other

33.

How many cubes would there be in the 4th arrangment?

a)

8 cubes

b)

10 cubes

c)

11 cubes

d)

12 cubes

34.

How many circles would be in picture 5?

a)

13 circles

b)

14 circles

c)

15 circles

d)

16 circles

35.

Which of the following inequalities is true for all values in the set {1, 2, 6, 10, 12}?

a)

16 > t + 2

b)

20 - t ≤ 16

c)

14 ≤ t + 13

d)

None of the above

36.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
37.
Simplify the expression:
8(5 + w)
a)
40 + w
b)
40+8w
c)
85 + 8w
d)
13+8w
38.

What is the missing number 5 + 4 = ____ + 5

a)

9

b)

5

c)

20

d)

4

39.

This property tells us that when we change the order of numbers when we are adding and/or multiplying, the answer does not change.

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Identity Property

40.
Which of the following is an example of the Distributive Property? 
a)
5p x 0 = 0
b)
(n + m) + p = n + (m + p)
c)
4(2a + 7) = 8a + 28
d)
6 + -6 = 0
41.

Using the distributive to factor this expression: 10x + 25

a)

5 ( 2x + 5)

b)

25 + 10x

c)

10 + x + 25

d)

10 (x + 25)

42.

A food service worker earns $12 per hour. The money they make (m)can be written as an equation of the number of hours (h) they work. m = 12h Identify the dependent variable.

a)

money made

b)

hours worked

c)

12

d)

Number of employees

43.
How do you write 2 x 2 x 2 x 2 with an exponent?
a)
42
b)
24
c)
22
44.
A scientist reports that a bacteria culture contains 34 bacteria.
How many bacteria is that?
a)
12
b)
81
c)
7
d)
95
45.
17 = x + 3
a)
x = 20
b)
x = 14
c)
x = 13
d)
x = 19
46.
x - 32 = 49
a)
x = 17
b)
x = 71
c)
x = 81
d)
x = 49
47.

10x = 45

a)

x = 45

b)

x = .45

c)

x = 4.5

d)

x = 450

48.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
49.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
50.

Which equations have x = 5 as the solution?

a)

x + 15 = 10

b)

13 - x = 10

c)

2x = 10

d)

10/2 = x

e)

19 - x = 14

51.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
52.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
53.

Pick the correct letter for:

6 > x

a)

A

b)

B

c)

C

d)

D

54.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
55.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

56.

Which values of x would make this true? x < 8?

a)

6.8

b)

11

c)

-9

d)

8

e)

9

57.

What is the coefficient in 3x - 5

a)

3

b)

5

c)

x

58.

What is the coefficient in

x + 2 = 12

a)

1

b)

0

c)

12

d)

2

59.
Evaluate 9r + 16 for r = 8
a)
88
b)
114
c)
56
d)
83
60.
Write an expression for the phrase: "nine less than t"
a)
9-t
b)
t ÷ 9
c)
t-9
d)
t + 9
61.
Write a phrase for 7t
a)
7 plus t
b)
7 times t
c)
7 more than t
d)
seventy
62.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
63.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
64.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
65.
A student must be at least 15 years old to obtain a driver’s permit.
a)
x > 15
b)
x < 15 
c)
x ≤ 15
d)
x ≥ 15
66.
simplify the expression
21 + 34b -8 -5b + 8 +23b
a)
10b + 0
b)
21b - 52b
c)
52b + 21
d)
52b - 21
67.
Factor the expression
6a - 42
a)
6(a - 7)
b)
6(a + 7)
c)
2(3a - 21)
68.
3(5x - 8)
a)
15x + 24
b)
15x - 8
c)
5x- 8
d)
15x - 24
69.

Which operation would you do first in the following equation?

10 - 4 ÷ 1 · 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

70.

Joe is three times as old as Katie. Katie is two years older than Leo. If j represents Joe's age and l represents Leo's age, which equation is true?

a)

j = l

b)

j = l + 2

c)

j = 3l

d)

j = 3l + 6

71.

Mario is planning a charity dinner. Each table costs $50 and each chair costs $7 to rent. The other costs of the dinner are $475. Let t represent the number of tables and let c represent the number of chairs. Which of the following expressions represents the total cost of the dinner?

a)

t + c + 475

b)

50t + 7c = 475

c)

7t + 50c + 475

d)

50t + 7c + 475

72.

An HMO charges $35 per doctor visit (d) and $15 per prescription (p). Which expression shows the total cost for prescriptions and doctor visits?

a)

50dp

b)

(35d)15p

c)

50(d + p)

d)

35d + 15p

73.

Which of these expressions is equivalent to 4m + 8m?

a)

12m

b)

12m2

c)

32m2

d)

32m

74.

Which of these expressions is equivalent to z + z + z + z?

a)

4 + z

b)

4+ z4

c)

4z

d)

4z4

75.

Which of these expressions is equivalent to 6a?

a)

2a + 3a

b)

2a × 3a

c)

3a + 3a

d)

3a × 3a

76.

Yvette read a word problem that used the phrase “ten less than the product of four and a number.” Which expression represents this phrase?

a)

10 - 4n

b)

4n - 10

c)

10 - (4 + n)

d)

(4 + n) - 10

77.
In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation? 
a)
Subtract 7 from both sides. The solution is x = 5.
b)
Add 7 to both sides.
The solution is x = 19.
c)
Multiply both sides by 7 The solution is x = 84.
78.
Evaluate the expression:
(23 + m) ÷ 9
m = 4
a)
2
b)
4
c)
3
d)
9
79.

In the equation

m - 9 = 24

9 is being subtracted from the variable, m. How should you show your work to isolate the variable and solve the equation?

a)

Subtract 9 from both sides. The solution is m = 15.

b)

Add 9 to both sides.

The solution is m = 33.

c)

Multiply both sides by 9 The solution is m = 216.

80.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
81.
y/3=12
a)
36
b)
-36
c)
4
d)
-4
82.
Solve the equation:
4p = 16
a)
p = 12
b)
p = -12
c)
p = -4
d)
p = 4
83.
a)
x = 118
b)
x = 108
c)
x = 28
d)
x = 58
84.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
85.
a)
x = 56
b)
x = 66
c)
x = 156
d)
x = 166
86.

Robyn had some video games and then bought 4 more. Now she has a total of 10 games. How many games did she have to start with?

a)

14 games

b)

6 games

c)

40 games

d)

Answer not Given

87.

Spot fetched 8 sticks and some rocks when he played outside. How many rocks did he fetch if the total number of objects he fetched was 14?

a)

4 rocks

b)

22 rocks

c)

6 rocks

d)

8 rocks

88.

On Saturday,12 friends go ice skating. Altogether, they pay $83.40 for admission. They share the cost equally. How much does each person pay?

a)

$7.95

b)

$6.95

c)

$9.93

d)

$8.73

89.

Tina's favorite peaches are $2.50 per pound at the local farmers’ market. She bought 3 pounds of the peaches. How much did she spend?

a)

$6.00

b)

$7.50

c)

$5.00

d)

$6.50

90.

Carlos read 7 more books than Alan. If Alan read 9 books, how many books did Carlos read?

a)

2 books

b)

8 books

c)

72 books

d)

16 books

91.

Is the following equation true or false?

4 + m < 14 substitute m for 6

a)

true

b)

false

92.

Is the following equation true or false?

8a > 24 substitute a for 3

a)

true

b)

false

93.

Which number makes the equation true?

5 + x < 8

a)

2

b)

3

c)

4

d)

5

94.

Which number makes the equation true?

32 < 8p

a)

4

b)

5

c)

2

d)

1

95.

Which number makes the equation true?

½t > 13

a)

10

b)

15

c)

25

d)

30

96.

Which number(s) below will result in a true equation?

h - 8 > 13

a)

5

b)

11

c)

15

d)

23

e)

28