Free Printable Year 8 Pre-Assessment: Basic Algebra

1.

Write using symbols.

'the sum of x and 2,divided by 3'

a)

$\frac{2x}{3}$

b)

$x+\frac{2}{3}$

c)

$x+\frac{3}{2}$

d)

$\frac{x+2}{3}$

2.

Evaluate 5 + (3x)², if x = 2.

a)

36

b)

216

c)

41

d)

17

3.

Simplify:

a + a + a - 2 x b x b

a)

$a^3-2b^2$

b)

$3a-2b^2$

c)

$3a-b2$

d)

$a^3\ -2b$

4.

Find the product:

2(p)(x³)(x²)

a)

2px⁶

b)

2px

c)

2px5

d)

2px⁷

5.

Divide:

$\frac{4c^6}{2c^2}$

a)

$2c^4$

b)

$2c^3$

c)

$2c^8$

d)

$2c^{12}$

6.

Simplify:

2x + y - 5x + 2y + 1 - 5

a)

7x + 3y - 4

b)

-3x - y - 4

c)

7x + 3y - 6

d)

-3x + 3y - 4

7.

Solve for x.

9x - 5 = 8x

a)

x = 0

b)

x = 5

c)

x = -5

d)

$x=\frac{5}{17}$

8.

Solve for x.

7x - 1 = 6x - 4

a)

x = -5

b)

x = 5

c)

x = -3

9.

Solve for x.

$\frac{3}{5}x=15$

a)

x = 9

b)

x = 25

c)

x = 30

d)

x = -9

10.

Solve for x:

6(2x + 1) - 5x = 3x + 2

a)

x = 3/4

b)

x = 2

c)

x = -1

d)

x = 1/2

11.

The length of a rectangle is 2 less than 3 times the width. The perimeter is 36 inches.

Find the width (in inches).

Write your answer in numerical ONLY.

(a)

12.

Expand the expression.

(x + 5) (x - 4)

a)

x + 5

b)

x - 4

c)

$x^2+x-20$

d)

$x^2-x+20$

13.

Expand:

$\left(2x+5\right)\left(2x-5\right)$

a)

$4x^2+25$

b)

$4x^2-25$

c)

$2x^2-25$

d)

$2x^2+25$

Year 8 Pre-Assessment: Basic Algebra

Total questions: 13

Worksheet time: 31mins

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