Free Printable Algebraic expressions

Worksheets

Algebraic expressions

Total questions: 50

Worksheet time: 4hrs 55mins

Name

Class

Date

Greg spent a total of $37 at a baseball game. He bought a ticket for $9 and he spent the rest on 7 raffle tickets. How much did each raffle ticket cost?

Yoko's age is 5 years more than three times her cousin's age. If Yoko is 11, how old is her cousin?

11 years

3 years

2 years

7 years

Which of the following are expressions? (Select all that apply.)

3x + 4

twelve is three more than nine

the difference of x and 8

Expressions do NOT have equal signs. True or False?

False

True

How would you translate
x - 5 = 12 into words?

x - 5 = 12

The product of x and 5 is twelve

x less than 5 is 12

Five less than x is 12.

Write an algebraic expression for:
three times a number plus 16

3(16)+n

16n+3

3n+16

What is the difference between an expression and equation?

Expressions have an equal sign and equations do not have an equal sign

Expressions do not have an equal sign and equations do have an equal sign

There is not a difference

Expressions do not have variables and equations have variables

Take away 4 from w.

w - 4

4 - w

w + 4

w / 4

Minus w from v.

w - v

w + v

v - w

v/w

10.

Sum of a and b.

a + b

a + d

a - b

b - a

11.

I think of a number multiply it by 7 and minus 8. Which expression(s), if any, represents my number now?

A: 7x - 8

B: 7x - 56

C: 7(x – 8)

D: x – 56

12.

I think of a number y, add 15 and multiply by 6. Which expression(s), if any, represents my number now?

A: 6y + 15

B: 6(y + 15)

C: 6 x y + 15

D: 6y + 90

13.

Simplify: 4(x+3)+3(x-3)

7x + 3

7x + 21

7x - 9

7x - 12

14.

4(2t - 5)

8t - 20

8t - 5

6t - 20

8t + 20

15.

My sister draws 3 monsters with x eyes each and my brother draws 5 monsters with y eyes each. How many eyes in total?

A: 8xy

B: 8(x + y)

C: 3x + 5y

D: x/3 + y/5

16.

I have a jar of c sweets, I add 10 and my sister eats 12. Which expression(s), if any, represent the number of sweets now?

(a)

17.

Batteries are sold in packs and boxes.

There are 12 batteries in each pack.
There are 18 batteries in each box.

Marek buys p packs of batteries and b boxes of batteries.

Write down an expression, in terms of p and b, for the total amount of batteries that Marek buys.

20p + 18b

12p + 18b

12p + 12b

10p + 15b

18.

Batteries are sold in packs and boxes.

There are 4 batteries in each pack.
There are 12 batteries in each box.

Olly buys p packs of batteries and b boxes of batteries.

Write down an expression, in terms of p and b, for the total amount of batteries that Olly buys.

3p + 10b

5p + 15b

4p + 10b

4p + 12b

19.

Daniel buys p protractors and r rulers.

Each protractor costs 12 pence.
Each ruler costs 50 pence.

Write down an expression, in terms of p and r, for the total amount, in pence, that Daniel spends on protractors and rulers.

12p + 30r

10p + 50r

12p + 60r

12p + 50r

20.

Kyle bought 5 bags of cement and 3 of gravel.

Each bag of cement contains x kg.
Each bag of gravel contains y kg.

Kyle bought more cement than gravel.

Write down an expression, in terms of x and y, for the difference, in kilograms, between the amount of cement and the amount of gravel that Kyle bought.

8x - 3y

5y - 3x

3x - 5y

5x - 3y

21.

John buys a apples and b bananas.

Each apple costs 16 pence.
Each banana costs 30 pence.

Write down an expression, in terms of a and b, for the total amount, in pence, that John spends on apples and bananas.

16a + 20b

10a + 30b

16a + 15b

16a + 30b

22.

Write an equation for each of these, use 'n' for the unknown number.

Do not include spaces between numbers and the equals sign, use a / for divide.

I think of a number. I multiply it by 3 and the answer is 18.

(a)

23.

Write an equation for each of these, use 'n' for the unknown number.

Do not include spaces between numbers and the equals sign.

I think of a number. I subtract 7. The answer is 16.

(a)

24.

Nate has 6 fewer CDs than Emily. If c represents the number of CDs Emily has, which expression tells how many CDs Nate has?

6-c

6+c

c-6

c+6

25.

Mr. Krabs has 100 more dollars than Squidward. Which equation represents this situation?
Mr. Krabs = K
Squidward = S

S = 100 + K

S = 100K

K = 100S

K = 100 + S

26.

Phineas' nose is 5 inches longer than Ferb's nose. Which equation represents this situation?
Phineas' nose = P
Ferb's nose = F

P = 5 + F

F = 5 + P

P = 5F

F = P + 5

27.

Alex has twice as many nickels as dimes. Which equation represents this situation?
Nickels = N
Dimes = D

N = 2 + D

D = 2N

N = 2D

D = N + 2

28.

Write the phrase as an expression. "a number x divided by 2"

2÷x

x÷2

29.

Which is an algebraic expression?

4 + 2

4 + 2 = 6

(4+2) - 6 = 0

30.

Which algebraic expression shows the total of b and 14?

14 - b

14/b

14 + b

b - 14

31.

six times the number of girls
Let g = number of girls

6 + g

g - 6

32.

a number decreased by 12

12-n

12+n-5

n-12

12n

33.

9 fewer than the total number of people

t × 9

9/t

t - 9

9 + t

34.

Make a 5 and s sandwich

s divided by 5

5 divided by s

The product of a number s and 5

35.

Three times a number increased by nine

3h-9

3(h-9)

3(h+9)

3h+9

36.

g divided by 9

g-9

g/9

9/g

37.

Write the phrase as an expression. "10 less than a number n"

10-n

n-10

n+10

10-n

38.

There are m strawberries in a box. How many strawberries will there be in total if you add 1 more?

m x 1

m + 1

39.

This piece of string is 30 cm long. If Sarah cuts off p cm from one end, what length is left?

30 - p

30 + p

30/p

30 - 2p

40.

The sum of seven and x

7-x

x-7

7+x

41.

Which of the following is not an expression?

5x + 8

4(2x + 6)

18x = 92

4x + 5y + 8

42.

There are 150 hi-chews in a bag. Bradley grabs a handful (he didn't steal them). What expressions shows how many hi-chews are left in the bag?

150x

150-x

x-150

x+150

43.

Mr. Soldo spent $26.75 on Dunkin Doughnuts. He was given $13.25 change. What equation shows x representing the amount of money he gave to pay for the doughnuts?

x+26.75=13.25

13.25-x=26.75

x-26.75=13.25

26.75x=13.25

44.

Write an algebraic equation.

Dean ate 11 grapes after dinner, which was 3 more than twice as many grapes as Sara ate.

2g + 11 = 3

2g + 3 = 11

2g - 3 = 11

2g - 11 = 3

45.

The product of 7 and j..

j+3

j-3

j/3

46.

The debate team bought 14 matching T-shirts to split among its members. Each member of the team will get t T-shirts. Choose the expression that shows how many people are on the debate team.

14 + t

14t

14/t

47.

Find the algebraic expression to describe the pattern.
Eric's age Mary's age
4 8
8 16
3 6
x

x + 4

x + 2

x - 4

48.

Write a word phrase to represent the following algebraic expression:

$12x$

the product of a number and 12

the product of 12 and a number

12 times a number

a number times 12

49.

What word phrase can you use to represent "5x + 2"?

five times the sum of a number x and two

two times the sum of a number x and five

a number x times the sum of five and two

the sum of five times a number x and two

50.

John has 4 less pencils than Harry. Harry has P pencils. Write an expression that represents John's pencils.

P + 4

P-4

4 - P

P x 4

P/4

100 %

Algebraic expressions

Total questions: 50

Worksheet time: 4hrs 55mins

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