Free Printable Unit 9: Algebraic Expressions

1.

Choose the algebraic expression that matches the verbal phrase.

a)

b)

c)

d)

2.

Choose the algebraic expression that matches the verbal phrase.

a)

b)

c)

d)

3.

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

4.

Which algebraic expression matches the word phrase: 30 less than a number

a)

30 < n

b)

n/30

c)

30 - n

d)

n - 30

5.

The sum of 9 and d.

a)

9/d

b)

d - 9

c)

d + 9

d)

9d

6.

6 times k

a)

6 + k

b)

6/k

c)

6k

d)

6 - k

7.

What is the product of 7 and q?

a)

7 - q

b)

7/q

c)

7q

d)

7 + q

8.

9 + a

a)

a divided by 9

b)

a less than 9

c)

a multiplied by 9

d)

9 increased by a

9.

9 + a

a)

a divided by 9

b)

a less than 9

c)

a multiplied by 9

d)

9 increased by a

10.

Mr. Gardner had his class line up in 2 lines with x students in each line. How many students are lined up?

a)

2x

b)

2 - x

c)

2 + x

d)

2/x

11.

What is the difference between 12 and g?

a)

12/g

b)

12g

c)

12 - g

d)

12 + g

12.

9m

a)

m less than 9

b)

m more than 9

c)

the product of 9 and m

d)

9 divided by m

13.

At Italian Gardens Restaurant, there are 5 large tables and e people can fit around each table. How many people can fit around all the large tables?

a)

5/e

b)

5e

c)

e + 5

d)

e - 5

14.

What is 10 less than h?

a)

h - 10

b)

10 - h

c)

h/10

d)

10 + h

15.

z + 8

a)

8 more than z

b)

z divided by 8

c)

8 less than z

d)

z multiplied by 8

16.

Josiah has x cupcakes. He is dividing them among his 5 friends. Which expression represents the number of cupcakes each friend will receive?

a)

5x

b)

x/5

c)

x + 5

d)

x - 5

17.

What is the quotient of 7 and f?

a)

7 - f

b)

7 + f

c)

7/f

d)

7f

18.

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

a)

3d

b)

3 + d

c)

3 X 9

d)

3 . d

e)

(3) (d)

19.

Write an algebraic expression for 11 more than e

a)

$11\times e$

b)

$11+e$

c)

$11-e$

d)

$e+11$

20.

Write an algebraic expression for:

20 divided by c

a)

$20\div c$

b)

$\frac{c}{20}$

c)

$\frac{20}{c}$

d)

$20c$

21.

Write an algebraic expression for:

Eight times the product of five and t

a)

$8\times5\times t$

b)

$8\left(5t\right)$

c)

$5t\times\left(8\right)$

d)

$8+5t$

22.

There are 12 eggs in a dozen. Write an algebraic expression for the number of eggs in d dozen.

(a)

23.

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

a)

b)

c)

d)

24.

Choose the algebraic expression that matches the verbal phrase.

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. Choose all that apply.

a)

b)

c)

d)

27.

Choose the algebraic expression that matches the verbal phrase.

a)

b)

c)

d)

28.

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

a)

b)

c)

d)

29.

Choose the algebraic expression that matches the verbal phrase.

a)

b)

c)

d)

30.

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

31.

Choose the algebraic expression that matches the verbal phrase.

a)

b)

c)

d)

32.

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

33.

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.

34.

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

a)

b)

c)

d)

e)

35.

Which choice best represents: Add 3 to K

a)

K + 3

b)

3 + K

36.

Which choice best represents: Add 6 to X

a)

X + 6

b)

6 + X

37.

Which choice best represents: Divide 11 by V

a)

V ÷ 11

b)

11 ÷ V

38.

Which choice best represents: Divide 18 by X

a)

18 ÷ X

b)

X ÷ 18

39.

Which choice best represents: Divide 4 by G

a)

4 ÷ G

b)

G ÷ 4

40.

Which choice best represents: Divide 8 by G

a)

8 ÷ G

b)

G ÷ 8

41.

Which choice best represents: Divide 9 by L

a)

L ÷ 9

b)

9 ÷ L

42.

Which choice best represents: Find 13 less than L

a)

L - 13

b)

13 - L

43.

Which choice best represents: Find 2 less than C

a)

C - 2

b)

2 - C

44.

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

a)

16 × A

b)

A × 16

45.

Eight less than the quotient of 24 & 12.

a)

24/12 - 8

b)

24 x 12 - 8

c)

24/12 + 8

d)

8 - (24/12)

46.

What is the numerical expression for:

the product of 5 and 9 decreased by 7

a)

7 - (5 x 9)

b)

(5 ÷ 9) - 7

c)

(5 + 9) - 7

d)

(5 x 9) - 7

47.

4 more than the sum of 8 and 3

a)

4 x (8 + 3)

b)

8 + 3 + 4

c)

4 + (8 x 3)

d)

4 + (8 + 3)

48.

Translate this phrase into an algebraic expression.

8 less than the product of 4 and m

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

49.

Evaluate the expression when x =1.9
x²+ 2x

a)

7.41

b)

7.6

c)

3.61

d)

3.8

50.

Which of the expressions does NOT show the product of four and n.

a)

4n

b)

4 x n

c)

4(n)

d)

4 ÷ n

51.

2x + 5(y - 1) when x=8 and y=5

a)

20

b)

31

c)

36

d)

-4

52.

How many terms are in the following expression?
$2x+4y+8\div2$

a)

1

b)

2

c)

3

d)

4

53.

Identify the variables in the expression: 3x + 4y - 7

a)

x and y

b)

3 and -7

c)

x and 7

d)

3 and 4

54.

Evaluate

\frac{1}{4}\left(12\ x\ +4\right)

if x = 3

a)

$\frac{19}{4}$

b)

10

c)

13

d)

21

55.

What is the coefficient in the following expression: 5 + 4m

a)

5

b)

4

c)

m

d)

4m

56.

Which of the following is the constant in the expression 15p + 12

a)

15

b)

p

c)

12

d)

15p

57.

Write an algebraic expression for 9 less than the quotient of n and 5

a)

$9-\left(\frac{5}{n}\right)$

b)

$\frac{n}{5}-9$

c)

$9-n\times5$

d)

$5n-9$

58.

A large cheese pizza costs $18. Each topping you add on costs $1.50. How much would it cost to get a large cheese pizza with c toppings added?
Write your answer as an expression.

a)

c + 18

b)

18 + 1.50

c)

18 + 1.50c

d)

1.50c - 18

59.

Write the expression: 9 less than k

a)

k-9

b)

9-k

c)

k/9

d)

9/k

60.

Evaluate $5\ \frac{1}{3}\div m$ when $m=\frac{4}{5}$

a)

$\frac{8}{12}$

b)

$6\ \frac{1}{5}$

c)

$6\ \frac{2}{3}$

d)

$4\ \frac{4}{15}$

61.

What is the value of $m^2\div\left(2r\right)+3n$ when $m=10,\ n=9,\ and\ r=2$

a)

100

b)

32

c)

127

d)

52

62.

John bought apples for $0.95 per pound and pears for $1.20 per pound at the grocery store. Use the expression $0.95a + $1.20p to find the amount John paid if he bought 2.2 pounds of apples and 1.4 pounds of pears.

a)

$1.14

b)

$3.77

c)

$2.15

d)

$3.97

63.

Solve if a=4

4 + a

a)

4

b)

0

c)

8

d)

16

64.

Solve if a=4

a x 7

a)

3

b)

11

c)

2

d)

28

65.

Solve if a=4

a x a - 10

a)

2

b)

6

c)

9

d)

5

66.

Solve if b = 9

b + 30 / 6

(a)

67.

Evaluate 8a - b if a = 10 and b = 6

a)

74

b)

38

c)

1000

d)

9000

68.

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

a)

20

b)

24

c)

44

d)

4

69.

Evaluate 4y if y = 3

a)

7

b)

12

70.

Evaluate 2r + 1 if r = 3

a)

6

b)

5

c)

7

d)

8

71.

Evaluate when a = 15:
2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

72.

Evaluate -2x if x = 10

a)

-8

b)

20

c)

-20

73.

Evaluate 7 + j if j = -2

a)

-14

b)

14

c)

5

d)

9

74.

Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4

a)

42

b)

46

c)

34

d)

58

75.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

76.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

77.

Write an algebraic expression for "12 more than number".

a)

x + 12

b)

12x

c)

x - 12

78.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

79.

Evaluate when a = 15:
2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

80.

3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

81.

3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

82.

Evaluate 7y - 3y for y=2

a)

40

b)

73

c)

8

d)

4

83.

Perry has 17 fewer baseball cards than Pete.
If b represents the number of cards Pete has, write an expression for how many baseball cards Perry has.

a)

b + 17

b)

b -17

c)

17 - b

d)

17 + b

84.

Mary baked some cookies on Saturday. On Sunday she baked twice as many cookies as the day before. If c represents the number of cookies she made on Saturday, write an expression for the number of cookies she made on Sunday.

a)

c + 2

b)

c - 2

c)

c / 2

d)

2c

85.

Liam has a bag of b beads. He gives 20 beads to his sister. Write an expression to represent how many beads Liam has left.

a)

40

b)

20

c)

b

d)

b - 20

e)

b + 20

86.

Sarah has some money in the bank, then she earned $12 more. Define a variable and write an expression for how much money she has in total.

a)

b = bank
b + 12

b)

m = money
m + 12

c)

m= amount of money she has in the bank
m + 12

d)

m = amount of money she earned
m + 12

87.

The expression 7h + 1.50d can be used to find the total earnings after h hours and d deliveries have been made. How much will Sally make after working 10 hours and making 3 deliveries?

a)

$74.50

b)

$36

88.

You order CDs for $14.25 each and the website charges $4.50 for each shipment. The expression $14.25p + $4.50 represents the cost of p CDs. Find the total cost for ordering 4 CDs.

a)

$61.50

b)

$22.75

89.

Danika earns money for a house by tutoring and walking dogs. She earns $80 for every hour she tutors, and $25 for every dog she walks. Which expression can be used to determine the amount of money, in dollars, Danika earns from tutoring t kids and walking w dogs?

a)

t + w

b)

80w + 25

c)

80t + 25w

d)

80 + 25w

90.

Evaluate 3d if d = 5

a)

3

b)

5

c)

12

d)

15

91.

Evaluate y + 17 if y = 11

a)

11

b)

17

c)

27

d)

28

92.

Evaluate m² if m = 7

a)

9

b)

14

c)

49

d)

51

93.

Evaluate 5m + 7 if m = 5

a)

12

b)

25

c)

32

94.

Evaluate 3x - 7 if x = 6

a)

9

b)

11

c)

29

d)

25

95.

Evaluate 6y - 13 if y = 4

a)

51

b)

11

c)

37

96.

Evaluate 5x + 4y if x=3 and y=2

a)

54

b)

22

c)

95

d)

23

97.

Evaluate the expression for x = 2.
4 − x

a)

2

b)

6

c)

−2

d)

−6

98.

Write an algebraic expression for "12 more than number".

a)

x + 12

b)

12x

c)

x - 12

99.

Write an algebraic expression for "8 less than a number".

a)

8x

b)

x - 8

c)

8 - x

100.

Evaluate 2r + 1

if r = 3

a)

24

b)

5

c)

7

d)

8

101.

Evaluate 2a - b

if a = 6 and b = 1

a)

12

b)

25

c)

11

d)

13

102.

Write an algebraic expression for "The product of seven and j".

a)

7j

b)

j + 3

c)

j - 3

d)

j/3

103.

Write an algebraic expression for "a number subtracted from eight".

a)

n - 8

b)

8 - n

c)

8n

d)

n/8

104.

Write an algebraic expression for "the quotient of a number and 4".

a)

n / 4

b)

n - 4

c)

n + 4

d)

4n

105.

Which algebraic expression matches the model?

a)

5m

b)

3m+5

c)

5+m

d)

15m

Unit 9: Algebraic Expressions

Total questions: 105

Worksheet time: 8hrs 49mins

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