Free Printable Year 7 Algebra Revision

1.

The difference of 3 times a number ( $n$ ) and 7

a)

$3+7n$

b)

$3n-7$

c)

$3n+7$

d)

$\frac{3}{7n}$

2.

$w$ increased by 5

a)

$w-5$

b)

$5w$

c)

$w+5$

d)

$\frac{w}{5}$

3.

$g$ divided by nine

a)

$9g$

b)

$g-9$

c)

$\frac{g}{9}$

d)

$\frac{9}{g}$

4.

The quotient of a number ( $n$ ) and 4

a)

$\frac{n}{4}$

b)

$n-4$

c)

$n+4$

d)

$4n$

5.

2 times the sum of $y$ and 5

a)

$2+y+5$

b)

$2y+5$

c)

$2\left(y+5\right)$

d)

$2-y+5$

6.

What is the correct term for the answer you get when you multiply?

a)

Product

b)

Quotient

c)

Sum

d)

Difference

7.

What is the correct term for the answer you get when you divide?

a)

Product

b)

Quotient

c)

Sum

d)

Difference

8.

What are the variables of $7x+6y-9$

a)

6, 7

b)

-9

c)

6y, 7x

d)

x, y

9.

How many terms are in the expression: 45x + 3

a)

1

b)

2

c)

3

d)

4

10.

How many variables are in the expression: 3x + 2y + 3

a)

1

b)

2

c)

3

d)

4

11.

Which of the following is an example of an expression?

a)

2x + 3 = 12

b)

34y = 100

c)

2x + y

12.

If x = 5, solve the following expression: 2x + 3

a)

10

b)

5

c)

13

d)

8

13.

Identify the coefficient in the equation: 3 + 27x = 45

a)

3

b)

27

c)

x

d)

45

14.

Which of these is the best definition for a constant?

a)

The number that is placed before a variable.

b)

A combination of expressions, joined by subtraction or addition.

c)

The name of the sign used to combine different expressions, like a plus or minus sign.

d)

A number that is unchanging in an expression or equation (has no variable).

15.

If x - 17 = 3, then x must equal what?

a)

20

b)

23

c)

14

d)

17

16.

Which of the terms in the following equation are constants:

23x + 2y - 6 = 12

a)

23x and 2y

b)

2y and -6

c)

-6 and 12

d)

2y and 12

17.

Which of the following is an example of an equation?

a)

2x + 1 = 5

b)

34x - 4

c)

2y

d)

13x - 2y

18.

w + w + w = ?

a)

w²

b)

3w

c)

2w

d)

w³

19.

Which equation below has 5 terms?

a)

2x + 3 - 4y = 12

b)

2x - 3 - y - 2z = 14

c)

2w + 3y = x - 12

d)

7 + 3x = 2y - 2

20.

True or False: An expression should always include an equals sign?

a)

True

b)

False

21.

True or False: Substitution is when we replace a variable with a given number?

a)

True

b)

False

22.

Which of the following is an example of a variable?

a)

2x + 3

b)

m

c)

4y

d)

7 + 3x = 12

23.

The purpose of a coefficient is to?

a)

Divide a variable.

b)

Add to the variable.

c)

Take away from the variable.

d)

Multiply a variable.

24.

A variable is:

a)

the number next to a symbol

b)

a symbol that stands for a quantity (number)

c)

an equation

25.

A combination of variables, numbers and at least one operation

a)

Algebraic Expression

b)

Algebraic Equation

c)

Inequality

d)

Terms

26.

Terms that contain exactly the same variables

a)

Terms

b)

Like Terms

c)

Constant Terms

d)

Inequality

27.

Which is NOT a word phrase for the algebraic expression.
24n

a)

24 times a number

b)

24 times n

c)

the product of 24 and a number

d)

the sum of 24 and a number

28.

Write an algebraic expression for the word phrase.
12 more than (m) machines

a)

12-m

b)

m-12

c)

12+m

d)

m+12

29.

Write an algebraic expression for the word phrase.

Six times the daily amount of fiber (f) in your diet

a)

$6f$

b)

$6+f$

c)

$\frac{6}{f}$

d)

$6-f$

30.

The algebraic expression 6x - 4 can be written as which of the following?

a)

x to the sixth power decreased by four

b)

The product of six and a number x decreased by four

c)

Six times a number x less than four

d)

Four less than six

31.

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

a)

c

b)

7

c)

8

d)

1

32.

Simplify the expression using product notation:

$3a\times4b$

a)

$7ab$

b)

$12ba$

c)

$12a\times b$

d)

$12ab$

33.

Use the distributive law to expand the brackets then simplify your answer:

$3\left(a+b\right)$

a)

$3a\ +\ b$

b)

$3a+3b$

c)

$3ab$

d)

$3\times a+3\times b$

34.

Write in simplest form the following expression:

$2\times a\times b\times c\times4\times c\times c$

a)

$6abc^3$

b)

$8abc^2$

c)

$2acb\times4c^2$

d)

$8abc^3$

35.

What is the coefficient of $c$ in the following expression ?

$2c^2-c+4$

a)

2

b)

1

c)

-1

d)

4

36.

What is the coefficient of $b$ in the following expression after collecting like terms ?

4a\ +3b-c-b

a)

$3$

b)

$2$

c)

$-1$

d)

$3\ and\ -1$

37.

Combine like terms to simplify: a + 2a + 7

a)

9a

b)

3a + 7

c)

2a + 7

d)

9

38.

Combine like terms to simplify: 5 + b + 2

a)

7b

b)

7b + 7

c)

7 + b

d)

8b

39.

Combine like terms to simplify: 6m + m - 4m

a)

10m

b)

3m

c)

2m

d)

11m

40.

Combine like terms to simplify: 8x - 8d

a)

8

b)

xd

c)

0

d)

They are unlike terms, so cannot be simplified.

41.

a + a + a - a

a)

4a

b)

2a

c)

a²

d)

3a

42.

a x 3

a)

a3

b)

a³

c)

3a

d)

aaa

43.

a + a + b + b + a

a)

3ab

b)

2a + b

c)

5ab

d)

3a + 2b

44.

2 x t x s

a)

ts2

b)

4ts

c)

2st

d)

ts²

45.

b² + b²

a)

2b²

b)

b⁴

c)

b²b²

d)

4b

46.

3b x 5a

a)

3b5a

b)

35ab

c)

ba15

d)

15ab

47.

5a + 2b + 3a + 4b

a)

5a + 2b

b)

7ab + 7ab

c)

8a + 6b

d)

8a - 6b

48.

5c x 2c

a)

10cc

b)

10c²

c)

52c

d)

10c

49.

Simplify $\frac{12x^2y}{15xy}$

a)

$\frac{4xy}{5}$

b)

$\frac{3x}{5}$

c)

$\frac{4x}{5}$

d)

$\frac{5}{3x}$

50.

Select all the equivalent expressions for $5\times x\div10$

a)

$\frac{5x}{10}$

b)

$2x$

c)

$\frac{x}{2}$

Year 7 Algebra Revision

Total questions: 50

Worksheet time: 1hrs 19mins

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