Free Printable SAT

1.

$5\left(3e^2-8\right)-3\left(3e^2-5\right)$ Expand and simplify

a)

$6e^2-25$

b)

$12\times12$

2.

Solve: $b-11>-3$

a)

8

b)

-18

c)

-224

3.

Solve: $6-c>6.3$

a)

0.1

b)

1.9

c)

-0.3

d)

-17.29

4.

Expand and simplify

2 (a+b)

a)

2ab

b)

2a + b

c)

2a + 2b

d)

2(ab)

5.

4 (d + 2f)

a)

4d + 2f

b)

4d + 8f

c)

4d2f

d)

4d2f

6.

Expand using the distributive law

3 (a - 2)

a)

3a - 2

b)

a

c)

6a

d)

3a - 6

7.

Simplify the expression shown above

a)

15a + 12a

b)

27a

c)

27a²

d)

7a + 20

8.

John's answer to the question below was 12h + 3. What were John's errors?

Expand and simplify the expression below:

6h (2h + 3)

a)

He did not add the powers for the variable h.

b)

He did not multiply 6h x 3

c)

He did not use the distributive law correctly

d)

All of the above

9.

Which of these statements are equivalent to 8x + 24

a)

8(x + 24)

b)

8(x + 3)

c)

4(2x + 3)

d)

4(2x + 6)

10.

Expand

6(t - 2j) =

a)

6 x t - 2j

b)

6 x t - 6 x 2j

c)

6 x t - 2 x j

d)

6t - 2j

11.

Expand and simplify:

3a (2a - 4a²b)

a)

6a² - 4a²b

b)

6a² - 12a³b

c)

3a2a - 12a²b

d)

6a - 4a²b

12.

The length of a rectangle is (2w + 4). Its width is 5. Write a simplified expression for its area.

a)

5 (2w + 4)

b)

(2w + 4)+ (2w + 4)+(2w + 4)+ (2w + 4)+ (2w + 4)

c)

(2w + 4) + 5

d)

5 + (2w + 4)

13.

Expand using the distributive law and simplify:

7(a + b) + 3a

a)

7a + 7b + 3a

b)

13a

c)

10ab + 3a

d)

10a + 7b

14.

Expand 2(x+3)

a)

2x+6

b)

2x+3

15.

Expand 3(x+4)

a)

3x+12

b)

3x+4

16.

Expand 4(2x+3)

a)

8x+12

b)

4x+12

17.

Expand x(x+2)

a)

x²+2x

b)

2x +2

18.

Expand 2x(x+3)

a)

2x²+6x

b)

2x²+6

19.

Factorise 6x+4

a)

2(x+4)

b)

2(3x+2)

20.

Factorise 4x+12

a)

4(x+3)

b)

4(x+12)

21.

Factorise 2x+8

a)

2(x+4)

b)

2(x+8)

22.

Factorise x²+4x

a)

x(x+4)

b)

4x(x+1)

23.

Factorise 3x²+12x

a)

3x(x+4)

b)

3(x²+4)

SAT

Total questions: 23

Worksheet time: 19mins

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