Free Printable Mixed Practice Online Version

1.

Simplify: (2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x +6y + 6z

b)

4x + y + 6z

c)

-4x - y + 6z

d)

-4x + y + 6z

e)

None of these

2.

Simplify:

$(6x^2+10x-9)-(4x^2-13)$

a)

$2x^2+10x-22$

b)

$10x^2+10x-22$

c)

$2x^2+10x-4$

d)

$2x^2+10x+4$

3.

Simplify the following expression. $5x^3\cdot2x^5$

a)

$10x^8$

b)

$7x^{15}$

c)

$10x^{15}$

d)

$7x^8$

4.

Simplify the following expression.

$\frac{8x^6}{2x^2}$

a)

$4x^4$

b)

$6x^4$

c)

$4x^3$

d)

$6x^3$

5.

Simplify
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x –4)

a)

4x³ + 1x² – 3x + 1

b)

2x³ + 1x² - 5x + 9

c)

6x³ + 1x - 1x² - 3

d)

3x⁵ +1x - 1x⁵ - 3x

6.

Simplify the expression.
4(n⁴ - 1n + 1) - (8n² + 4n⁴ + 1)

a)

-8n² - 4n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

7.

What is the perimeter of the rectangle?

a)

x² + 8x - 5

b)

2x² + 16x - 10

c)

2x² + 10x - 8

d)

6x - 2

8.

Simplify the following expression. $3y^4\cdot y^5$

a)

$4y^{20}$

b)

$3y^{20}$

c)

$4y^9$

d)

$3y^9$

9.

Simplify the following expression.

$\frac{10y^8}{4y^2}$

a)

$\frac{5y^4}{2}$

b)

$6x^6$

c)

$\frac{5y^6}{2}$

d)

$6x^4$

10.

Simplify

(3y² + y³ - 5) + 2(2y² -2y + y³ + 4)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

e)

None of these

11.

Simplify the following expression.

$\frac{16a^2}{2a}$

a)

$14a$

b)

$8a$

c)

$8a^2$

d)

$14a^2$

12.

Simplify the following expression. $-2n\cdot8n^9$

a)

$6n^{10}$

b)

$6n^9$

c)

$-16n^{10}$

d)

$-16n^9$

13.

Find the perimeter of the math book.

a)

10x+18

b)

5x-7

c)

5x+9

d)

10x-14

14.

Which of the following is equivalent to $\frac{x^5y^2}{x^3y^4}$

a)

$\frac{x\times x\times x\times x\times x\times y\times y}{x\times x\times x\times y\times y\times y\times y}=x^2y^2$

b)

$\frac{x\times x\times x\times x\times x\times y\times y}{x\times x\times x\times y\times y\times y\times y}=\frac{x^2}{y^2}$

c)

$\frac{x\times x\times x\times x\times x\times y\times y}{x\times x\times x\times y\times y\times y\times y}=\frac{y^2}{x^2}$

d)

$\frac{x\times x\times x\times x\times x\times y\times y}{x\times x\times x\times y\times y\times y\times y}=\frac{1}{x^2y^2}$

15.

Simplify the following expression. $-xy\cdot-10x^2$

a)

$-11x^3y$

b)

$10x^2y$

c)

$-11x^2y$

d)

$10x^3y$

16.

Simplify the following expression.

$\frac{25d^2}{15d^5}$

a)

$10d^3$

b)

$\frac{5}{3d^3}$

c)

$\frac{10}{d^3}$

d)

$\frac{5d^3}{3}$

17.

Simplify
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

a)

4x³ + 1x² – 3x + 1

b)

2x³ + 1x² - 5x + 9

c)

6x³ + 1x - 1x² - 3

d)

3x⁵ +1x - 1x⁵ - 3x

18.

Simplify the following expression. $2a^3b^4\cdot5a^{-1}b^{10}\cdot2ab$

a)

$20a^3b^{15}$

b)

$9a^{-3}b^{40}$

c)

$20a^{-3}b^{40}$

d)

$9a^3b^{15}$

19.

Simplify the following expression.

$\frac{3c^{12}}{9c^6}$

a)

$3c^6$

b)

$-6c^2$

c)

$-6c^6$

d)

$\frac{c^6}{3}$

20.

Simplify: (2a² + 5a + 3) -(a² - 3a -4)

a)

3a² + 2a - 1

b)

a²+ 8a + 7

c)

3a²+ 8a + 7

d)

a² + 2a - 1

21.

Simplify: $\left(-3x^{10}yz^5\right)\left(-xyz\right)$

a)

$-3x^{11}y^2z^6$

b)

$3x^{11}y^2z^6$

c)

$3x^{10}yz^5$

d)

$-3x^{10}yz^5$

22.

Keisha is working to complete her summer reading in one week. This is so she can chill for the remainder of the summer.

She read (2x²+5x-3) pages on Monday, (5x-3) pages on Tuesday, and (6x²+2) pages on Wednesday.

How many pages did she read in three days?

a)

8x²+10x-4

b)

8x²+10x+2

c)

8x²+10x-10

d)

8x²+10x+8

23.

Simplify. Write using a positive exponent.
$\frac{12x^{10}y^4}{2x^2y}$

a)

$6x^4y^{-3}$

b)

$6x^8y^3$

c)

$\frac{6x^4}{y^3}$

d)

$\frac{10x^4}{y^3}$

24.

What is the result of combining the terms represented by the tiles?

a)

2x²+ 4x + 6

b)

2x + 2

c)

2x - 2

d)

x² + 3x + 2

25.

Simplify $10x^2y^5\left(9x^3y\right)$

a)

$19x^5y^6$

b)

$90x^6y^5$

c)

$19x^5y^5$

d)

$90x^5y^6$

26.

What is the perimeter of the triangle shown?

a)

9r²+r-5

b)

9r⁴+r²-4

c)

9r²-r+4

d)

9r²+r-4

27.

Simplify $\frac{10x^8y^5}{4x^2y^5}$

a)

$6x^6y$

b)

$\frac{5x^6}{2}$

c)

$\frac{5x^6y}{2}$

d)

$6x^6$

28.

Simplify
(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

29.

Simplify. $\frac{20x^3y^8}{30x^3y^7}$

a)

$\frac{2xy}{3}$

b)

$\frac{20y}{30}$

c)

$\frac{2y}{3}$

d)

$\frac{10y}{15}$

30.

Every stop sign made is a regular octagon. If all 8 sides are represented by the expression 3s+4, what is the perimeter of the stop sign?

a)

24s+4

b)

24s+32

c)

8s+32

d)

9s²+16

Mixed Practice Online Version

Total questions: 30

Worksheet time: 1hrs 4mins

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