Free Printable Year 8 Algebra

1.

What is the inverse operation of addition?

a)

Subtraction

b)

Multiplication

c)

Division

d)

Addition

2.

Solve for x

5x = 95

a)

x = 19

b)

x = 90

c)

x = 100

d)

x = 95

3.

Solve for x

x - 17 = 34

a)

x = 2

b)

x = 51

c)

x = 17

d)

x = -17

4.

Solve for x

-5 + x = 50

a)

x = -10

b)

x = 45

c)

x = 10

d)

x = 55

5.

What is the inverse operation of Multiplication?

a)

Subtraction

b)

Addition

c)

Division

d)

Multiplication

6.

Solve for x

x + 5 = 25

a)

x = 30

b)

x = 5

c)

x = 20

d)

x = 25

7.

Solve for x

-2x = -20

a)

x = 10

b)

x = 22

c)

x = -18

d)

x = 40

8.

Solve for x

6x = -42

a)

x = 7

b)

x = -48

c)

x = -7

d)

x = 36

9.

If x + 2 = 12 , what is the first step to solve for x?

a)

Subtract 2 from both sides

b)

Add 2 to both sides

c)

Multiply by 2 on both side

d)

Divide by 2 on both sides

10.

If x - 7 = -4 , what is the first step to solve for x?

a)

Add 4 to both sides

b)

subtract 4 from both sides

c)

add 7 to both sides

d)

subtract 7 from both sides

11.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

12.

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

13.

7x − 10x = 15

a)

x = 4

b)

x = -4

c)

x = -5

d)

x = 5

14.

Solve $8y+3=27$

a)

$y=3$

b)

$y=-3$

c)

$y=\frac{15}{4}$

d)

$y=16$

15.

Solve $9a+4=40$

a)

$a=4$

b)

$a=\frac{44}{9}$

c)

$a=27$

d)

$a=35$

16.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

17.

4a + 3 = 15

a)

2

b)

4

c)

1

d)

3

18.

What is the solution to the equation -4x-14=6?

a)

5

b)

2

c)

-5

d)

24

19.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

20.

$-4x+3=-29$

a)

$x=4$

b)

$x=6$

c)

$x=2$

d)

$x=8$

21.

2v + 7 = 3

a)

v = 3

b)

v = 2

c)

v = -2

d)

v = -1

22.

10.35 + 2.3h = −9.2

a)

h = -8.5

b)

h = -9

c)

h = 9

d)

h = 8.5

23.

−6t − 7 = 17

a)

t = -4

b)

t = 6

c)

t = -6

d)

t = 4

24.

What is the coordinates of the school?

a)

( 5 , 8 )

b)

( 1 , 5 )

c)

( 8 , 1 )

d)

( 3 , 3 )

e)

( 9 , 7 )

25.

What are the coordinates of the farm?

a)

( 5 , 8 )

b)

( 1 , 5 )

c)

( 8 , 1 )

d)

( 3 , 3 )

e)

( 9 , 7 )

26.

The coordinate (0,0) is also known as the ___.

a)

y-axis

b)

x-axis

c)

origin

27.

What will be the last coordinate of the rectangle?

a)

(1, 3)

b)

(8, 4)

c)

(8, 3)

d)

(7, 3)

28.

6h + 30; Solve if h = 32

a)

192

b)

36h

c)

90h

d)

222

29.

If m = 3, x = 2, and c = 1, calculate y:
y = mx + c

a)

7

b)

6

c)

5

d)

8

30.

6x² + 9x + 3; solve if x = 5

a)

198

b)

163

c)

90

d)

78

31.

If m = 3, c = 5 and y = 11, calculate x:
y = mx + c

a)

x = 2

b)

x = 38

c)

x = 8.67

d)

x = -2.67

32.

Make r the subject:
C = 2πr

a)

r = C/2π

b)

r = C - 2π

c)

r = 2πC

d)

r = Cπ/2

33.

Make r the subject:
A = πr²

a)

r = √(A/π)

b)

r = √Aπ

c)

r = Aπ²

d)

r = (Aπ)²

34.

Make w the subject of
A = lw

a)

w = A/l

b)

w = l/A

c)

w = A - l

d)

w = Al

35.

Make x the subject of y = mx + 1

a)

x = (y - 1)/m

b)

x = y - 1/m

c)

x = y/m - 1

d)

x = my - 1

36.

Make a the subject of
a + b = c + d

a)

a = c + d - b

b)

a = b + c + d

c)

a = b + c - d

d)

a = c - b - d

37.

Make a the subject of
a + b = c

a)

a = c - b

b)

a = b - c

c)

a = b + c

d)

a = bc

38.

Which of the following has "a" as the subject of the formula?

a)

b)

c)

d)

39.

$ax+r\ =\ 7\ \ Solve\ for\ r.$

a)

$r=\frac{7}{ax}$

b)

$r=7-ax$

c)

$r=7+ax$

d)

$r=7ax$

40.

$dx+e=f$
Which expression represents the value of x in the equation:

a)

$x=\frac{f+e}{d}$

b)

$x=\frac{f-e}{d}$

c)

$x=\frac{d}{e-f}$

d)

$x=\frac{d}{e+f}$

Year 8 Algebra

Total questions: 40

Worksheet time: 2hrs 0mins

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