Free Printable Grade 6 End of Year Revision

1.

14x-10=4

a)

$x=-8$

b)

$x=10$

c)

$x=1$

d)

$x=-14$

2.

\frac{x}{5}+7=9

a)

$x=5$

b)

$x=7$

c)

$x=9$

d)

$x=10$

3.

\frac{x}{6}-5=-2

a)

$x=24$

b)

$x=18$

c)

$x=2$

d)

$x=-2$

4.

$\frac{x}{4}+8=10$

a)

$x=-4$

b)

$x=-8$

c)

$x=8$

d)

$x=16$

5.

5x-1=19

a)

$x=4$

b)

$x=10$

c)

$x=5$

d)

$x=15$

6.

Ken is thinking of a number. Nine more than the product of 4 and the number is 73. What is the equation?

a)

4 + 9x = 73

b)

4x = 73

c)

4x + 9 = 73

d)

9x + 4 = 73

7.

x - 62 = 123

How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

8.

13 less than the product of a number and 6 is 5

a)

N x 6 -13=5

b)

N -13 x 6=5

c)

6 x 5 -13= n

d)

-13+ 5 x n = 6

9.

One fourth of the sum of a number and two is three

a)

2(1/4+n)=3

b)

3(2+n)=1/4

c)

n(2+1/4)=3

d)

1/4(2+n)=3

10.

Write an equation to solve the following word problem:

James earned a total of $900 last week. This total was $10 less than five times the amount he earned last week. How much money did James earn last week?

a)

5x - 10 = 900

b)

10 - 5x = 900

c)

5x + 10 = 900

11.

Write an equation to solve the following word problem:

Samantha went bowling with her friends. She paid $3 to rent shoes and then $4.75 for each game of bowling. If she spent a total of $22, then how many games did Shakira bowl?

a)

3x + 4.75 = 22

b)

22x + 3 = 4.75

c)

22 = 4.75x + 3

12.

When solving the following equation, what's the first step?

11 = 2r + 2

a)

Subtract 2 from both sides of the equation

b)

Add 2 to both sides of the equation

c)

Divide both sides of the equation by 2

d)

Multiply both sides of the equation by 2

13.

When solving the following equation, what is the second step you need to complete?

4.75x + 3 = 22

a)

Add 3 to both sides of the equation

b)

Subtract 3 from both sides of the equation

c)

Divide both sides of the equation by 4.75

d)

Multiply both sides of the equation by 4.75

14.

Solve. 2x + 10 = 16

a)

6

b)

3

c)

26

d)

13

15.

Solve. -3x - 12 = 15

a)

9

b)

-1

c)

27

d)

-9

16.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

17.

3n + 4 = 7

a)

1

b)

-1

c)

3.67

d)

2

18.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

19.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

20.

n +10 +9n -3=

a)

-3

b)

9n-3

c)

n

d)

10n + 7

21.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

22.

13+6k+11k-10

a)

17k+-13

b)

13k+17

c)

-13+17k

d)

3 + 17k

23.

When solving an equation, our goal is to:

a)

bake cookies.

b)

use a calculator.

c)

eat lunch.

d)

find the unknown value.

24.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

25.

Write the equation for the model.

a)

3x+6=-9

b)

-3x-6=9

c)

3x+6=9

d)

3x-6=-9

26.

Which equation matches this model?

a)

7x + 3 = 23

b)

2x + 4= 10

c)

3x - 8 = 3

d)

4x + 3 =9

27.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

28.

(2x + 4) + (3x + 5)

a)

14x

b)

6x + 8x

c)

5x + 9

d)

x - 1

29.

(4x - 3) + (9x + 5)

a)

13x +2

b)

5x - 8

c)

13x + 8

d)

13x - 2

30.

(2x + 5) - (6x + 3)

a)

8x + 8

b)

-4x + 2

c)

-4x + 8

d)

4x - 2

31.

(5x + 2) - (2x - 5)

a)

3x - 3

b)

7x + 7

c)

3x + 3

d)

3x +7

32.

2(2x + 3) + 3(4x + 5)

a)

6x + 8

b)

16x + 21

c)

56x + 8

d)

16x + 8

33.

2z + 5 + 8p + n

Which are the coefficients?

a)

2,8

b)

2, 8, 5

c)

n

d)

2, 8, 1

34.

5 - 3y + j - 8

Which is/are constants?

a)

3, j

b)

5, -8

c)

3y, 5, j, 8

d)

y, j

35.

What are the constants?

4 - 6y - 3 + 7

a)

4, -3, 7

b)

6y

c)

6, 3, 7

d)

4,6, 3

36.

What are the coefficients?

7h + n + 2x -5

a)

7h, n, 2x

b)

7, 2, 5

c)

h, n, x

d)

7, 1, 2

37.

(2x + 4) + (3x + 5)

a)

14x

b)

6x + 8x

c)

5x + 9

d)

x - 1

38.

2(2x + 3) + 3(4x + 5)

a)

6x + 8

b)

16x + 21

c)

56x + 8

d)

16x + 8

39.

(4x - 3) + (9x + 5)

a)

13x +2

b)

5x - 8

c)

13x + 8

d)

13x - 2

40.

(4x - 3) + (9x + 5)

a)

13x +2

b)

5x - 8

c)

13x + 8

d)

13x - 2

41.

What is 2x + x?

a)

2x²

b)

2x

c)

3x

d)

5x

42.

Can you simplify 3x + 7?

a)

Yes, you can add 3 and 7

b)

Yes, you can add 1x and 7

c)

No, you can't add them because they don't have like terms

43.

Find (2x + 3) + (x + 4)

a)

2x + x

b)

12 + 3x

c)

2x² + 12

d)

3x + 7

44.

5(x-4) + (2x-7)

a)

3x - 28

b)

5x + 2x -27

c)

7x² + 11

d)

7x -27

45.

Find the difference:

(8 - u) - (5u + 1)

a)

6u + 7

b)

-4u + 7

c)

-6u + 7

d)

4u - 7

46.

Find the difference:

2(x - 2) - 3(x - 4)

a)

-x - 8

b)

x + 8

c)

5x + 8

d)

-x + 8

47.

(-11a + 7) – (11a – 7)

a)

-22a - 14

b)

0

c)

-22a + 14

d)

-22a

48.

(7a + 4) - (9a + 2)

a)

-2a + 6

b)

2a + 6

c)

-2a + 2

d)

2a + 2

49.

(4y - 8) - (3y - 9)

a)

7y - 17

b)

y + 1

c)

y - 17

d)

7y + 17

50.

Find the difference (2x + 5) − (x + 4).

a)

x + 1

b)

3x + 9

c)

−x + 1

d)

x + 9

51.

(6x + 3y + 4) – (8x + 9y)

a)

-2x - 6y

b)

-2x - 6y + 4

c)

2x + 6y + 4

d)

14x + 12y + 4

52.

Use the Distributive Property to simplify:

-2(x + 5)

a)

-2x + 10

b)

-2x - 10

c)

-2x + 5

d)

-2x - 5

53.

Sales tax is __________ to the price

a)

subtracted

b)

added

c)

multiplied

d)

divided

54.

Discount is ____________ from the price.

a)

added

b)

divided

c)

subtracted

d)

eaten by

55.

Discount is ____________ from the price.

a)

added

b)

divided

c)

subtracted

d)

eaten by

56.

A store pays $32.00 for each video game. The store’s percent of mark up is 75%. Which shows the retail price of the video game?

a)

$60.00

b)

$56.00

c)

$24.00

d)

$8.00

57.

Markup is the amount that the price of an item is increased by.

a)

True

b)

False

58.

A computer game costs $25. The store uses a markup rate of 40%. Find the selling price of the computer game.

a)

$40

b)

$15

c)

$33

d)

$35

59.

Sam bought an $85.00 jacket for 40% off of the regular price. What is the sale price of the jacket?

a)

75

b)

51

c)

36

d)

81

60.

Find the percent discount:

Original price: $500

Sale price: $175

a)

20%

b)

35%

c)

65%

d)

40%

61.

Find the sale price:

Original price: $20

Markup: 15%

a)

$23

b)

$17

c)

$20

d)

$3

62.

A computer store used a markup rate of 40%. Find the selling price of a computer game that costs $25.

a)

$35.50

b)

$15

c)

$33

d)

$35

63.

Discount is ____________ from the price.

a)

added

b)

divided

c)

subtracted

d)

divided

64.

When a price gets lowered, this is known as:

a)

markdown

b)

profit

c)

markup

d)

percent

65.

When a price is raised in order to make a profit, this is called:

a)

profit

b)

markup

c)

discount

d)

tax

66.

When a discount is applied to an item, the amount you pay for the item is called the:

a)

original price

b)

sale price

c)

percent off

d)

discount

67.

A store pays $60 for shoes and sells them for $90. What is the percent mark up?

a)

42.5%

b)

50%

c)

100%

d)

None of the Above

68.

A markdown means you are...

a)

Increasing the price

b)

Decreasing the price

69.

A markup means you are ...

a)

Increasing the price

b)

Decreasing the price

70.

TRUE OR FALSE

Markup is the difference between the selling prices of a good or service and cost.

a)

TRUE

b)

FALSE

71.

You are working for a retailer and need to set a price for your mermaid tail blanket. It costs $25 to make and you are selling it for $35. What was your percent markup?

a)

30%

b)

40%

c)

50%

d)

60%

72.

Find the simple interest earned for principal of $2,000 at and 8% rate for 5 years.

a)

$160

b)

$800

c)

$80,000

d)

$16

73.

The simple interest formula is I=Prt. The P represents the principle. The principle is ___________________.

a)

the amount of money borrowed or deposited

b)

the percent interest for his year

c)

the amount taxed

d)

the amount the bank owes you for being a customer at their bank

74.

What does the "I" in the interest formula I = PRT stand for?

a)

Important

b)

Interest

c)

Internet

d)

Igloo

75.

Calculate the interest. I = PRT,

Principal = $1000,

Rate = 6%,

Time = 2 years

a)

$100

b)

$120

c)

$180

d)

1200

76.

Jerry borrowed $4,000 for 5 years at 6% simple interest rate. How much interest is that?

a)

$800

b)

$1,000

c)

$1,200

d)

$1,500

77.

The simple interest formula is I=Prt. What does the t represent?

a)

Principle

b)

Interest

c)

Time

d)

Percent Rate

78.

Ann puts $300 in a bank account earning 4% interest. How much will she earn in interest in 1 year?

a)

4

b)

8

c)

12

d)

16

79.

What does the "I" in the interest formula stand for?

a)

Principal

b)

Interest

c)

Rate

d)

Time

80.

What does the "r" in the interest formula stand for?

a)

Principal

b)

Interest

c)

rate

d)

time

81.

The Principal and Interest are always___________.

a)

fraction

b)

decimal

c)

percent

d)

dollar amount

82.

If you are calculating the simple interest and you are given the time in months. How can you find the time in years?

a)

divide 12 by the months

b)

divide the months by 12

c)

multiply 12 times the months

d)

change the months to a decimal

83.

Name the property showed by the following statement.
a(bc) = (ab)c

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

Multiplication Property of One (Identity)

84.

Name the property showed by the following statement.
3a = a3

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

Addition Property of Zero (Identity)

85.

What property is this?
5 + (8 + 14) = (5 + 8) + 14

a)

Associative Property of Multiplication

b)

Distributive Property

c)

Identity Property

d)

Associative Property of Addition

86.

12 + 7 = 7 + 12
What property is this?

a)

Commutative Property of Addition

b)

Commutative Property of Multiplication

c)

Distributive Property

d)

Identity Property of Addition

87.

5 x (7 + 9) = (5 x 7) + (5 x 9)

a)

Distributive Property

b)

Associative Property

c)

Commutative Property

d)

Multiplying Property

88.

Which property of multiplication is shown?
(6+3) x 7 = 6 x 7 + 3 x 7

a)

Commutative Property

b)

Identity Property

c)

Associative Property

d)

Distributive Property

89.

Which example DOES NOT show the commutative property?

a)

6 x 2=2 x 6

b)

3 x 1=3

c)

4 x 5=5 x 4

d)

3 x 1=3 x 1

90.

Which is an example of the commutative property of multiplication?

a)

4 x (1 x 2) = (4 x 1) x 2

b)

2 x 2 = 4 x 1

c)

2(3) = 2(4)

d)

3 x 4 = 4 x 3

91.

Simplify 6(x + -2)

a)

6x + -2

b)

6x + -12

c)

4x

d)

6x - 2

92.

3 - 2a + 3a + 5a

a)

5a+3

b)

5a-3

c)

6a + 3

d)

8a+3

93.

-r -10r

a)

11r

b)

-11r

c)

9r

d)

-11

94.

Simplify the Expression.
9z - 21 - 3z + 10

a)

Simplified

b)

9z - 21 - 7

c)

9z - 11 -3z

d)

6z - 11

95.

8(x + 5)

a)

13x

b)

8x + 13

c)

8x + 40

d)

8x + 5

96.

3(2y - 7)

a)

6y + 7

b)

6y - 7

c)

6y + 21

d)

6y - 21

97.

A letter that represents a number is called a _____.

a)

variable

b)

coefficient

c)

constant

d)

term

98.

A number with no variable attached is called a _____.

a)

coefficient

b)

constant

c)

variable

d)

term

99.

Evaluate the expression using the values m = 7, r = 8, and t = 2.
3m – 5t

a)

21

b)

11

c)

10

d)

22

100.

Evaluate 2a + 4b
if a = 10 and b = 6

a)

20

b)

24

c)

44

d)

4

101.

6a - 3d
when a = 1, d = 2

a)

3

b)

12

c)

1

d)

0

102.

What does "product" mean?

a)

Multiply

b)

Divide

c)

Add

d)

Subract

103.

7(4)

a)

The product of seven and four

b)

Seven minus four

c)

Quotient four

104.

54 + 12

a)

Twelve increased by fifty four

b)

Fifty four increased by twelve

c)

The difference of fifty four and twelve

105.

Choose the algebraic expression that matches the verbal phrase: 4 more than 3 times a number

a)

4n + 3

b)

4 + 3n

c)

3 + 4n

d)

3n + 4

Grade 6 End of Year Revision

Total questions: 105

Worksheet time: 4hrs 30mins

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