Free Printable Shape Your Math (Algebra)

1.

Simplify 3x + 1+ 4x + 5

a)

7x + 6

b)

13x

c)

7x + 5

d)

3x + 6

e)

None of the above

2.

Simplify $\left(3x+1\right)-\left(4x+5\right)$

a)

$12x^2+19x+5$

b)

$7x+5$

c)

$7x+6$

d)

None of the above

3.

Solve:
x - 12 = 36

a)

12

b)

24

c)

36

d)

48

4.

Solve:
3y = 36

a)

12

b)

24

c)

108

d)

39

5.

5 + y = 9

a)

3

b)

4

c)

5

6.

Simplify - 2(3x + 1).

a)

-6x + 1

b)

6x - 2

c)

-6x - 2

d)

-5x - 1

e)

None of the above

7.

Simplify (3x + 1) + (4x + 5).

a)

7x + 6

b)

13x

c)

7x + 5

d)

3x + 6

e)

None of the above

8.

Simplify (8p - 5q) - 2(3q - 2p).

a)

3q - q

b)

12p - 11q

c)

4p -11q

d)

8p - q

e)

None of the above

9.

Simplify

2xy + 3xy

a)

-xy

b)

4y

c)

3xy

d)

5xy

10.

Simplify

4a x 8b

a)

12ab

b)

4ab

c)

ab

d)

32ab

11.

10a¹⁰/ 5a⁵

^(divide)

a)

5a²

b)

5a¹⁵

c)

2a¹⁵

d)

2a⁵

12.

Remember PEMDAS!

(10xy + 5xy)

____________

3

a)

5

b)

5xy

c)

2xy²

d)

5xy²

13.

Expand the brackets, then SIMPLIFY

x(4-3)

a)

x

b)

7x

c)

2

d)

0

14.

Simplify (3x + 1) + (4x + 5).

a)

7x + 6

b)

13x

c)

7x + 5

d)

3x + 6

e)

None of the above

15.

Simplify (8p - 5q) - 2(3q - 2p).

a)

3q - q

b)

12p - 11q

c)

4p -11q

d)

8p - q

e)

None of the above

16.

Find the value of

\frac{10}{m}+2

, when m = 10.

(a)

17.

Solve for x:
6(2x + 1) = 18

a)

3

b)

17/12

c)

1

d)

2

18.

Simplify (2m+3)(m-10)

a)

2m²+17m-30

b)

2m²-17m-30

c)

2m²+17m+30

19.

$\frac{\left(10a\right)^{10}}{2\left(5a\right)^5}$ Next step is...

a)

$\frac{10a^{10}}{10a^5}$

b)

$\frac{10a^{10}}{2\left(5a^5\right)}$

c)

$\frac{\left(10^{10}\right)\left(a^{10}\right)}{2\left(5^5\right)\left(a^5\right)}$

20.

$\frac{12x^2}{5y^3}\left(\frac{20y^4}{6x^3}\right)$

a)

$\frac{\left(12\times20\right)xy^8}{\left(5\times6\right)yx^9}$

b)

$\frac{\left(12\times20\right)\left(x^{2+4^{ }}\times y^{2+4^{ }}\right)}{\left(5\times6\right)\left(y^{3+3^{ }}\times x^{3+3^{ }}\right)}$

c)

$\frac{\left(12\times20\right)\left(x^2y^4\right)}{\left(5\times6\right)\left(y^3x^3\right)}$

21.

$simplify\ \ \ \ \frac{3xy^3z^2}{27x^2yz}$

a)

$\frac{9y^2z}{x}$

b)

$\frac{y^2z}{9x}$

c)

$9xyz$

d)

$\frac{3x}{27}$

22.

$\frac{3}{x-2}\div\frac{3}{x}$

a)

$\frac{x}{x-2}$

b)

$\frac{6}{x^2-x-2}$

c)

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

d)

$\frac{9}{x^2-2x}$

23.

$\frac{hy}{2}\left(3h^2\right)\left(\frac{2}{h}\right)\left(y\right)$

a)

$6hy$

b)

$6h^2y^2$

c)

$3h^2y^2$

d)

$\frac{2hy}{6h^3y}$

24.

Solve. $\frac{x+3}{8}=22$

a)

152

b)

173

c)

179

d)

-0.25

25.

Find the following product:

a)

b)

c)

d)

26.

Find the following quotient

a)

b)

c)

d)

27.

Simplify

\frac{2m+6}{5m}\times\frac{m^2}{m+3}

a)

$\frac{m+3}{5}$

b)

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

c)

$\frac{2m^2}{5}$

d)

$\frac{2m}{5}$

28.

Simplify

\frac{3xy^4}{2s}\div\frac{x^3y^2}{st}

a)

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

b)

$\frac{3y^2t}{2x^2}$

c)

$\frac{3y^2t^2}{2x^2}$

d)

$\frac{3y^2t}{2x^2s}$

29.

Simplify

\frac{x-5}{x^2-2x-15}

a)

$\frac{x-5}{x+3}$

b)

$\frac{1}{x+3}$

c)

$\frac{x-5}{\left(x+3\right)\left(x-5\right)}$

d)

$\frac{1}{x-5}$

30.

$\frac{5ab^2}{3}\div\frac{5b}{3a}$

a)

$a^2b$

b)

$\frac{25ab^3}{9a}$

c)

$\frac{ab^2}{3b}$

Shape Your Math (Algebra)

Total questions: 30

Worksheet time: 1hrs 2mins

Similar Resources on Wayground