Free Printable Expressions and The Distributive Property

1.

12(3 + 4) =

a)

36 + 48

b)

15 + 16

c)

123 + 124

d)

0.84

2.

8(3 + 4) =

a)

24 + 32

b)

11 + 12

c)

123 + 124

d)

5 + 4

3.

12(3 + 4) =

a)

36 + 48

b)

15 + 16

c)

123 + 124

d)

0.84

4.

Which expression uses the greatest common factor and distributive property to express
54 + 90?

a)

9 ( 6 + 10 )

b)

9 ( 6 + 90 )

c)

30 ( 24 + 60 )

d)

18 ( 3 + 5 )

5.

Rewrite using distributive property and GCF.
16 + 24

a)

2(8+12)

b)

3(5+8)

c)

4(4+6)

d)

8(2+3)

6.

Which expression is equivalent to 36 + 42 ?
Using the Greatest Common Factor (GCF)?

a)

2(18 + 21)

b)

3(12 + 14)

c)

6(6 + 42)

d)

6(6 + 7)

7.

Rewrite using distributive property and GCF.
24 + 30

a)

6(4+5)

b)

8(3+4)

c)

6(4) + 6(2)

d)

6x2+5

8.

GCF of 24 and 56

a)

2

b)

4

c)

6

d)

8

9.

The equation is shown. What FACTOR is missing from the equation?

30 + 12 = __(5 + 2)

a)

6

b)

8

c)

2

d)

4

10.

Which expression is equivalent to 36 + 42 ?
Using the Greatest Common Factor (GCF)?

a)

2(18 + 21)

b)

3(12 + 14)

c)

6(6 + 42)

d)

6(6 + 7)

11.

Find the missing number using the distributive property.
10 + 20 = 2(5 + __)

a)

2

b)

4

c)

5

d)

10

12.

Which expression is used to find the total area of the figure shown?

a)

9 (10 + 7)

b)

9 x 10 + 7

c)

(10 x 7) x 9

d)

9 x 10 x 7

13.

There are 6 groups of kids with 3 boys and 2 girls in each of the groups. Which expression represents this situation?

a)

6 x 3 + 2

b)

(6 x 3) x 2

c)

(6 + 3) x (6 + 2)

d)

6 (3 + 2)

14.

Frolie made gift bags for his teachers. He made 6 identical bags with 1 gift card, 2 packages of beef jerky, and 5 chocolates in each. Which expression represents this situation?

a)

6 (1 + 2 + 5)

b)

(6 + 1) x (6 + 2) x (6 + 5)

c)

6 (1 x 2 x 5)

d)

6 + (1 x 2 x 5)

15.

There are 8 rows of flowers in the garden. Each row has 3 roses, 4 mums, and 5 tulips. Which expression represents this situation?

a)

(8+3) x (8+4) x (8+5)

b)

8 (3 + 4 + 5)

c)

8 + (3 x 4 x 5)

d)

8 + 3 + 4 + 5

16.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

17.

4(5+3g)

a)

9+8g

b)

20g+12

c)

20+12g

18.

½(8x + 2)

a)

4x + 2

b)

4x + 1

c)

16x + 4

d)

16x - 4

19.

Which of the following is equivalent to
9(5c + 4)?

a)

45c + 36

b)

81c

c)

45c + 4

d)

49c

20.

Simplify:
7(y - 3)

a)

7y - 21

b)

7y - 3

c)

7y + 3

d)

7y + 21

21.

Which of the following expressions is equivalent to 10x - 8?

a)

2(5x - 8)

b)

10(x - 8)

c)

8(2x - 1)

d)

2(5x - 4)

22.

3(4+3r)

a)

12+9r

b)

7+6r

c)

12+5r

23.

4(8n+2)

a)

4n+2

b)

12n+6

c)

32n+8

24.

Choose the algebraic expression that matches the verbal phrase. Choose all that apply.

a)

b)

c)

d)

25.

Choose the algebraic expression that matches the verbal phrase.

a)

b)

c)

d)

26.

Choose the algebraic expression that matches the verbal phrase.

a)

b)

c)

d)

27.

Choose the algebraic expression that matches the verbal phrase. Choose all that apply.

a)

b)

c)

d)

28.

Choose the algebraic expression that matches the verbal phrase.

a)

b)

c)

d)

29.

Choose the algebraic expression that matches the verbal phrase. Choose all that apply.

a)

b)

c)

d)

30.

Choose the algebraic expression that matches the verbal phrase.

a)

b)

c)

d)

31.

Choose the verbal phrase that matches the algebraic expression.

a)

8 more than 4 times a number

b)

4 times the sum of a number and 8

c)

the product of 4 and a number

d)

the sum of 8 and a number

32.

Choose the algebraic expression that matches the verbal phrase.

a)

b)

c)

d)

33.

Choose the verbal phrase that matches the algebraic expression.

a)

the product of a number and 37

b)

the sum of 37 and a number

c)

8 more than 37 times a number

d)

37 more than 8 times a number

34.

What is the difference between a numeric expression and an algebraic expression?

a)

An algebraic expression only has numbers.

b)

A numeric expression cannot be solved.

c)

An algebraic expression has variables and a numeric expression does not.

d)

A numeric expression has variables and an algebraic expression does not.

35.

Which of the following is(are) an example(s) of an algebraic expression? Choose all that apply.

a)

b)

c)

d)

e)

36.

Which choice best represents: Add 3 to K

a)

K + 3

b)

3 + K

37.

Which choice best represents: Add 6 to X

a)

X + 6

b)

6 + X

38.

Which choice best represents: Divide 11 by V

a)

V ÷ 11

b)

11 ÷ V

39.

Which choice best represents: Divide 18 by X

a)

18 ÷ X

b)

X ÷ 18

40.

Which choice best represents: Divide 4 by G

a)

4 ÷ G

b)

G ÷ 4

41.

Which choice best represents: Divide 8 by G

a)

8 ÷ G

b)

G ÷ 8

42.

Which choice best represents: Divide 9 by L

a)

L ÷ 9

b)

9 ÷ L

43.

Which choice best represents: Find 13 less than L

a)

L - 13

b)

13 - L

44.

Which choice best represents: Find 2 less than C

a)

C - 2

b)

2 - C

45.

Which choice best represents: Find A times as much as 16

a)

16 × A

b)

A × 16

46.

Which algebraic expression can be translated as "three times a distance d." Select all that apply.

a)

3d

b)

3 + d

c)

(3) (d)

47.

Write the algebraic expression 6 ( s + 7 ) in words

a)

Six times an unknown quantity plus seven

b)

six plus an unknown quantity plus seven

c)

Six times the sum of an unknown quantity and seven

d)

Sixdivided by unknown quantity and seven

48.

Which algebraic expression can be read as " Two less than the product of five and an unknown quantity?

a)

2 - 5 X

b)

5 X - 2

c)

5 - 2 + X

d)

2 - 5 + X

49.

Which number is a coefficient in the algebraic expression

9 ( 12b + 1) ?

a)

1

b)

9

c)

12

d)

15

50.

Which expression means "4 times the difference between an unknown quantity and 7?"

a)

4 R -7

b)

4 (7 - R)

c)

4 (R -7)

d)

4 X r - 7

51.

Rajesh spends $55.16 on g gallons of gasoline. Which algebraic expression represents the cost of a gallon of gas?

a)

$55.16-g$

b)

$\frac{55.16}{g}$

c)

$55.16\ +\ g$

d)

\frac{g}{55.16}

52.

The length of a rectangle is 3 feet less than twice its width. Which algebraic expression represents the length of the rectangle?

a)

$2w-3$

b)

$3-2w$

c)

$2\ \left(w-3\right)$

d)

$3-2w$

53.

Bagels at a local bakery cost through $0.75 each. Which algebraic expression represents the cost of d bagels?

a)

$\frac{0.75}{d}$

b)

$0.75d$

c)

$\frac{d}{0.75}$

d)

$0.75\ \div d$

54.

Elena rents a car for the weekend. She is charged $35 a day +10 cents a mile. Which algebraic expression represents Elena's cost to rent the car for 3 days if she drives a total of m miles?

a)

$3\left(35\ +0.10m\right)$

b)

$3\left(35\right)+10m$

c)

$35+0.10m$

d)

$3\left(35\right)+0.10m$

55.

Translate the following expression: a number split up into 5 groups

a)

5g

b)

5 ÷ 2

c)

g ÷ 5

d)

5 ÷ g

56.

Translate the following expression: seven times the quantity of a plus b

a)

7 x a + b

b)

a + b x 7

c)

7(a + b)

d)

a(7 + b)

57.

A _____________ is a symbol, usually a letter that stands for a number.

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

58.

What is the coefficient in the given expression: 2 - p + 4?

a)

0

b)

4

c)

2

d)

1

59.

What is the coefficient of the following expression?
7c + 8

a)

c

b)

7

c)

8

d)

1

60.

Which is NOT a word phrase for the algebraic expression.
n + 16

a)

a number increased by 16

b)

16 increased by a number

c)

the sum of a number and 16

d)

16 more than a number

61.

Solve using distributive property.
3(x-6)

a)

3x+18

b)

3x-6

c)

3x+6

d)

3x-18

Expressions and The Distributive Property

Total questions: 61

Worksheet time: 1hrs 23mins

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