Quiz about Algebra 1 Unit 7 Exponents and Radicals

Question 1

Select ALL the expressions that are equivalent to $$-24x^5y^{12}$$

Accepted Answer

$$\left(2xy\right)\left(-3x^4y^8\right)\left(4y^3\right)$$

Accepted Answer

$$-\left(2^2x^2y^2\right)\left(3x^3y\right)\left(2y^9\right)$$

Accepted Answer

$$-\left(2xy\right)^2\left(6x^3y^{10}\right)$$

Answer

$$\left(-2xy\right)^2\left(3x^3y\right)\left(2y^9\right)$$

Question 2

Find $$\left(4x^3y^{-4}\right)^3$$

Accepted Answer

$$64x^9y^{-12}$$

Answer

$$64x^9y^{12}$$

Answer

$$12x^9y^{-12}$$

Answer

$$12x^6y^2$$

Question 3

The area of a rectangle is $$144x^5y^7$$ and the width is $$6xy^2$$ , find the length of the rectangle using division.

Accepted Answer

$$24x^4y^5$$

Answer

$$12x^4y^2$$

Answer

$$24x^6y^9$$

Answer

$$24x^4y^2$$

Question 4

$$\left(\frac{2t^4u^2}{4t^3}\right)^3$$

Accepted Answer

$$\frac{t^3u^6}{8}$$

Answer

$$\frac{t^3u^9}{2}$$

Answer

$$\frac{t^3u^6}{2}$$

Answer

$$\frac{4t^{ }u^6}{16}$$

Question 5

$$\frac{4a^{-6}b^5}{20a^2b^{-5}}$$

Accepted Answer

$$\frac{b^{10}}{5a^8}$$

Answer

$$\frac{a^85}{b}$$

Answer

$$\frac{1}{5a^8b^{10}}$$

Answer

$$\frac{1}{5a^8b^{-10}}$$

Question 6

Select all the statements that are TRUE for the expression $$\sqrt[3]{27}$$

Accepted Answer

The expression is read "27 to the third power"

Accepted Answer

The expression is equivalent to 3.

Accepted Answer

The index is 3.

Answer

The index is 27.

Answer

The expression inside the radial symbol is 27

Question 7

Simplify $$\sqrt[]{256a^6bc^5}$$

Accepted Answer

$$16a^3c^2\sqrt[]{bc}$$

Answer

$$16a^6c^4\sqrt[]{bc}$$

Answer

$$16ac\sqrt[]{bc}$$

Answer

$$13a^3\sqrt[]{bc^5}$$

Question 8

Simplify: $$\frac{\sqrt[3]{1250}}{\sqrt[3]{5}}$$

Accepted Answer

$$5\sqrt[3]{2}$$

Answer

$$10\sqrt[3]{5}$$

Answer

$$2\sqrt[3]{5}$$

Answer

$$\frac{5\sqrt[3]{10}}{\sqrt[3]{5}}$$

Question 9

Simplify: $$4\ \sqrt[]{3}\cdot8\ \sqrt[]{4}$$

Accepted Answer

$$64\ \sqrt[]{3}$$

Answer

$$32\ \sqrt[]{12}$$

Answer

$$12\ \sqrt[]{12}$$

Answer

$$32\ \sqrt[]{7}$$

Question 10

Find total distance Sasha walks from A to B and B to C.
$$\sqrt[]{80}+\sqrt[]{125}$$

Accepted Answer

$$9\ \sqrt[]{5}$$

Answer

$$\sqrt[]{205}$$

Answer

$$9\sqrt[]{10}$$

Answer

$$45\sqrt[]{5}$$

Algebra 1 Unit 7 Exponents and Radicals

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