Free Printable Unit 8 Review

1.

A rectangular prism has a width of $x^3y$ inches, a length of $x$ inches, and a height of $y^4$ inches. Which expression represents the volume in cubic inches of this rectangular prism?

a)

$x^3y^4$

b)

$x^4y^5$

c)

$3x^3y^4$

d)

$3x^4y^5$

2.

The area of a rectangle is $42x^6y^5$ square yards. If the length of the rectangle is $7x^4y$ yards, which expression represents the width of the rectangle in yards?

a)

$6x^2y^4$

b)

$35x^2y^4$

c)

$48x^{10}y^6$

d)

$294x^{10}y^6$

3.

Which expression equivalent to $\left(xy^{-7}\right)^3$

for all values of $x$ and $y$ where the expression is defined?

a)

$xy^{-343}$

b)

$xy^{343}$

c)

$x^3y^{21}$

d)

$x^3y^{-21}$

4.

The expression $\left(x^2\right)\left(x^{-10}\right)$ is equivalent to $x^n.$ What is the value of $n?$

(a)

5.

Which expression equivalent to $\left(121x^4y^{16}\right)^{\frac{1}{2}}?$

a)

$60.5x^2y^4$

b)

$60.5x^2y^8$

c)

$11x^2y^8$

d)

$11x^2y^4$

6.

Which expression equivalent to $\frac{\left(q^4\right)^{-5}}{q^{-25}}$ for all values of $q$ where the expression is defined?

a)

$q^5$

b)

$\frac{1}{q^5}$

c)

$q^{45}$

d)

$\frac{1}{q^{45}}$

7.

Which expression is equivalent to $\frac{12q^7w^8}{2w^3}\cdot\frac{3\left(q^4\right)^2}{w^{-6}}$ for all values of $q$ and $w$ where the expression is defined?

a)

$36q^{15}w^{11}$

b)

$18q^{15}w^{11}$

c)

$18q^{23}w^{11}$

d)

$34q^{15}w^{11}$

8.

Which expression is equivalent to $\frac{50m^{-4}p^3v^9}{10m^{-2}p^5v^{-6}}$ for all values of $m,\ p,\$ and $v$ where the expression is defined?

a)

$\frac{40v^{15}}{m^2p^2}$

b)

$\frac{5v^3}{m^6p^2}$

c)

$\frac{5v^{15}}{m^2p^2}$

d)

$\frac{40v^3}{m^6p^2}$

9.

Which expression is equivalent to $\left(4x^{11}y\right)^3?$

a)

$64x^{14}y^4$

b)

$12x^{14}y^3$

c)

$12x^{33}y^3$

d)

$64x^{33}y^3$

10.

The expression $\left(x^{25}\right)\left(x^{10}\right)^3$ is equivalent to $x^p.$

What is the value of $p?$

(a)

11.

Which expression is equivalent to $\frac{46a^4b^9c^{-8}}{10a^{-3}b^5c^{-6}}$ ?

a)

$\frac{36a^7b^4}{c^2}$

b)

$\frac{23a^7b^4}{5c^2}$

c)

$\frac{36ab^4}{c^{14}}$

d)

$\frac{23ab^4}{5c^{14}}$

12.

Which expression is equivalent to $\left(9x^5\right)^2\left(x^{10}\right)^{\frac{1}{2}}?$

a)

$18x^{30}$

b)

$81x^{30}$

c)

$18x^{15}$

d)

$81x^{15}$

13.

Which expression is equivalent to $\frac{6.6\ \times\ 10^{12}}{3.3\ \times\ 10^{-4}}?$

a)

$2\times10^{-8}$

b)

$2\times10^{-3}$

c)

$2\times10^8$

d)

$2\times10^{16}$

14.

Which expression is equivalent to $\frac{56x^7y^8}{\left(2xy\right)^3}$

for all values of $x$ and $y$ where the expression is defined?

a)

$48x^4y^5$

b)

$7x^4y^5$

c)

$7x^6y^7$

d)

$18x^6y^7$

15.

Which expression to $\left(12a^3b^0c^{28}\right)\left(4a^{-25}b^{14}c^0\right)$

for all values of $a,$ $b,$ and $c$ where the expression is defined?

a)

$\frac{48b^{14}c^{28}}{a^{22}}$

b)

$\frac{16b^{14}c^{28}}{a^{22}}$

c)

$\frac{48}{a^{75}}$

d)

$\frac{16}{a^{75}}$

16.

Which expression is equivalent to $16x^2-40x+25?$

a)

$\left(4x+5\right)^2$

b)

$\left(4x-5\right)^2$

c)

$\left(4x-25\right)\left(4x-1\right)$

d)

$\left(8x-5\right)\left(2x-5\right)$

17.

What is the zero of the linear function?

(a)

18.

What value of $x$ makes the equation true?

$2\left(-x-1.5\right)+4.2=-1.2\left(x+1\right)$

a)

$\frac{1}{3}$

b)

$-4.8$

c)

$-3$

d)

$3$

19.

What is the solution to the system of linear equations?

$x=11y+7$

$-3x+12y=-84$

a)

$\left(40,\ 3\right)$

b)

$\left(0,\ -7\right)$

c)

$\left(-4,\ -1\right)$

d)

$\left(29,\ 2\right)$

20.

A part of a linear function is shown on the grid. What is the domain and range of the graph?

a)

D: $-4\le x<2$

R: $-5<y\le4$

b)

D: $-4<x\le2$

R: $-5\le y<4$

c)

D: $-5<x\le4$

R: $-4\le y<2$

d)

D: $-5\le x<2$

R: $-4<y\le2$

Unit 8 Review

Total questions: 20

Worksheet time: 10mins

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