Free Printable Algebra

Worksheets

Algebra

Total questions: 70

Worksheet time: 6hrs 23mins

Name

Class

Date

Which expression represents $s$ students split evenly into 5 groups?

$\frac{s}{5}$

$5s$

$s+5$

$s-5$

Which phrase describes this expression?

6y + 4

6 times the sum of y and 4

The product of 6 and 4 times y

4 more than the sum of 6 and y

The product of 6 and y plus 4

The answer to an addition problem

product

quotient

sum

difference

In the expression 3p + 4, what is the word for the number 3?

term

coefficient

product

sum

Which expression represents $s$ students split evenly into 5 groups?

$\frac{s}{5}$

$5s$

$s+5$

$s-5$

Which phrase describes this expression?

6y + 4

6 times the sum of y and 4

The product of 6 and 4 times y

4 more than the sum of 6 and y

The product of 6 and y plus 4

How many terms does this expression have?

6a + 4b - 7

The answer to an addition problem

product

quotient

sum

difference

The answer to a subtraction problem

product

quotient

sum

difference

10.

The answer to a multiplication problem

product

quotient

sum

difference

11.

The answer to a division problem

product

quotient

sum

difference

12.

In an algebraic expression, what is the word that describes the letter that stands for an unknown number?

term

coefficient

variable

product

13.

Which of the following is NOT a correct way to write the product of 3 and 2?

$3\left(2\right)$

$3\cdot2$

$3^2$

$3\times2$

14.

6w - 6w + 6w + 9w

15w

15.

a + a + a + a

a + 4

a to the fourth power

4a + 4

16.

6x + 2x

12x

17.

Rewrite the expression by combining like terms.
3xy + 8x² + 4y + 2y – 5x²

3x² + 3xy + 6y

6y² + 2xy + 2x

7x² + 35x

3x²+ 6y + y

18.

Rewrite the expression by combining like terms.
8y² + 7xy – 2y² - 5xy + 2x

3x² + 3xy + 6y

6y² + 2xy + 2x

7x² + 35x

3x² + 6xy + y

19.

Siti bought x kg of green apples and 3 kg of red apples. What was the total mass of all the apples she bought?

(a)

20.

Padma cycled p km on Monday. She cycled 8 km less on Tuesday. What was the distance she cycled on Tuesday?

(a)

21.

Erynn glued k seashells on a photo frame. She made 5 such photo frames. How many seashells did she use?

(a)

22.

Jiayi typed w words in 40 minutes. How many words did she type in 1 minute?

(a)

23.

Add m to 12

(a)

24.

Subtract 9 from y

(a)

25.

6 groups of y

(a)

26.

Divide s by 6

(a)

27.

Subtract 1 from the product of h and 9

(a)

28.

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

coefficient

algebraic expression

variable

term

29.

A(n) __________________ consists of one or more numbers, variables, and operations.

numeric expression

term

variable

algebraic expression

30.

Which of the following is an example of an algebraic expression?

3(2 + 7) - 10

78 - 5 + 3

3x + 6y

8(3) - 5 + 2

31.

A(n) __________________ is a number and/or variable that is separated by addition or subtraction.

variable

term

coefficient

expression

32.

A ______________ is a number multiplied by a variable.

term

variable

coefficient

numerical expression

33.

How many terms are in the given expression?
5² + 7n - 2f

34.

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

35.

$n^2$ can be written as,

$n+n$

$n\times n$

$2n$

36.

What is a variable in Algebra?

Something that changes

An unknown value

An equation

A numeric expression

37.

Create an algebraic expression that represents 8 more than z

z - 8

z + 8

8 - z

38.

The product of 8 and m

m + 8

8 + m

39.

7 divided by c

c/7

7/c

40.

5 less than the product of 6 and n

5 - 6n

6n + 5

6n - 5

5 + 6n

41.

z - 4

4 inches ahead

4 less than z

4 times as many

one-fourth the size

42.

Write an expression:
Joe has 8 pencils. He gave away four and found one on the ground so he picked it up.
(Do not solve!) Write the expression.

8 + 4 + 1

8 - 4 + 1

8 - 4 - 1

43.

How many terms are in the following algebraic expression: 2x - 4?

3 terms

2 terms

1 term

4 terms

44.

Four children are eating lunch together. They all brought six items. How many items do they have total?

24 items

26 items

10 items

12 items

45.

Siti bought x kg of green apples and 3 kg of red apples. What was the total mass of all the apples she bought?

(a)

46.

Padma cycled p km on Monday. She cycled 8 km less on Tuesday. What was the distance she cycled on Tuesday?

(a)

47.

Erynn glued k seashells on a photo frame. She made 5 such photo frames. How many seashells did she use?

(a)

48.

Jiayi typed w words in 40 minutes. How many words did she type in 1 minute?

(a)

49.

Add m to 12

(a)

50.

Subtract 9 from y

(a)

51.

6 groups of y

(a)

52.

Divide s by 6

(a)

53.

Subtract 1 from the product of h and 9

(a)

54.

4p - 5 + 3p + 2 = (a)

55.

3v x 2 + 5 = (a)

56.

2k + 8 + 9k $\div$ 3 - 3 = (a)

57.

Alex has 10 boxes. He has y marbles in each box. How many marbles does he have altogether?

(a)

58.

Ben has n sweets. He shares them with 2 of his friends. How many sweets did each person get?

(a)

59.

Subtract y from 8

(a)

60.

2 less than y

(a)

61.

Mike is 160 cm tall.

Pete is w cm tall.

How much taller is Mike than Pete?

(a)

62.

Sally has h sweets.

Jason has 8 sweets more than Sally and 2 fewer sweets than Beth.

How many sweets does Beth have?

Express your answer in terms of h.

(a)

63.

Subtract 6 from the product of 9 and n.

(a)

64.

Zac bought z buns at first. He ate 2 buns. The remaining buns were shared equally among 5 children. How many buns did each child receive?

(a)

65.

Henry is twice as old as Jim and their total age is k years old.

÷What is Jim’s age, in terms of k?

(a)

66.

3 pens and 1 correction tape cost $3a.

If each pen costs $2, what is the cost of the correction tape in terms of a?

(a)

67.

Jane is 3k years old. Her sister is 4 years older than her.

Express their total age in terms of k.

(a)

68.

Michael is m years old. His father is thrice as old as him.

How old will his father be in 8 years’ time?

Express your answer in terms of m.

(a)

69.

The mass of Parcel A is m kg more than that of Parcel B.

The mass of Parcel B is 2 kg less than that of Parcel C.

The total mass of the three parcels is 7m kg.

Find the mass of the lightest parcel.

Give your answer in terms of m in the simplest form.

(a)

70.

Dan is n years old. His brother is 8 years older than him. Find their total age 3 years ago in terms of n.

(a)

Reset

Algebra

Total questions: 70

Worksheet time: 6hrs 23mins

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