Free Printable Expanding Homework

1.

2f + f

a)

3f

b)

2f

c)

f

2.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

3.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

4.

y²+ y²

a)

2y²

b)

4y

c)

2y

d)

y⁴

5.

6x+3x²-x-x²

a)

5x-2x²

b)

11x

c)

5x+2x²

d)

7x

6.

Simplify the following expression:
-10x + 15 - 3x + 2

a)

13x² + 17

b)

-13x² + 13

c)

-13x + 17

d)

-7x + 17

7.

(a)

8.

Simplify $3\left(x-5\right)$

(a)

9.

Expand -2(x-2)

a)

-2x+4

b)

2x-4

c)

-2x-4

d)

2x-2

10.

Expand x(x+2)

a)

x² + 2x

b)

2x + 2

c)

x + 2x

d)

4x

11.

Expand 2x(x+3)

a)

2x² + 6x

b)

2x² + 6

c)

2x + 6x

d)

2x + 3

12.

Expand 4a(2a + 3b)

a)

8a + 12ab

b)

8a² + 12ab

c)

8a² + 3b

d)

8a + 12b

13.

Expand 3g (2 - 7h)

a)

6g - 21h

b)

6g - 7h

c)

2g - 21gh

d)

6g - 21gh

14.

Which of the following is the correct expansion of:
a(a - 10)?

a)

a² - 10a

b)

2a - 10

c)

2a² - 10

d)

a - 10a²

15.

4(4x-4)+5(2x-1)

a)

26x-21

b)

26x-5

c)

26x-11

d)

26x+21

16.

6(3x + 5) + 2(x - 4)

a)

11x + 22

b)

20x + 22

c)

20x + 1

d)

18x + 26

17.

Expand and Simplify 4(x+2)-3(x+1)

a)

x+3

b)

7x+1

c)

x+5

d)

5x+11

18.

Expand and simplify
$\left(x+5\right)\left(x+9\right)$

a)

$x^2+45$

b)

$x^2+14x+45$

c)

$60x^2$

d)

$x^2+59x$

19.

When $\left(x+7\right)\left(x-3\right)$ is expanded and simplified, what term will appear in the box?

x^2\ \ \ ☐\ -21

a)

$+10x$

b)

$-4x$

c)

$+4x$

d)

$-10x$

20.

Expand and simplify
$\left(x+4\right)\left(x-13\right)$

a)

$x^2-52$

b)

$62x^2$

c)

$x^2-9x-52$

d)

$x^2-61x$

21.

Expand and simplify
$\left(2x+2\right)\left(x-5\right)$

a)

$3x-3$

b)

$2x^2-3x-10$

c)

$2x^2-10$

d)

$2x^2-8x-10$

22.

Which of the following answers shows a correct expansion and simplification of the expression below?
$\left(x-3\right)^2$

a)

$x^2-6x-9$

b)

$x^2-9$

c)

$x^2+9$

d)

$x^2-6x+9$

23.

Expand and simplify
$\left(2x+4\right)\left(5-3x\right)$

a)

$-6x^2-2x+20$

b)

$6x^2-2x+20$

c)

$-6x^2+22x+20$

d)

$-6x^2+2x-20$

24.

What is the correct expression for the area of the rectangle

a)

15a^2+75a+90

b)

$15a^2+45a+90$

c)

$16a+10$

d)

$16a+42$

25.

A square has side length (n - 1) cm

Which expression is the area of the square in cm²?

a)

n^2+1

b)

$n^2-1$

c)

$n^2-2n-1$

d)

$n^2-2n+1$

Expanding Homework

Total questions: 25

Worksheet time: 29mins

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