Advanced Algebra Prerequisite Skills Assessment*

Which expression is equivalent to the given?

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Tags

CCSS.HSA.APR.D.6

 $\frac{\left(2^{-4}\right)}{\left(3^0\right)}=$  

• 1/8

• 1/16

• 1/24

• 1/48

Tags

CCSS.8.EE.A.1

 $\left(\frac{a^{-1}b}{a^2b^{-3}}\right)^{-3}$  

•  $\frac{a^9}{b^{12}}$  

•  $\frac{b^{12}}{a^9}$  

•  $\frac{b^7}{a^6}$  

•  $\frac{a^6}{b^7}$  

Tags

CCSS.HSA.APR.A.1

Simplify the expression: $7x^2-6+4x+7-5x^2+x$   

• $2x^2+5x+1$

• $2x^2+4x+1$

• $12x^2+5x+1$

• $12x^2+4x+1$

Tags

CCSS.7.EE.A.1

Simplify the expression: $1+4\left(2x-3\right)-x$  

• 9x-3

• 9x-15

• 7x-2

• 7x-11

Tags

CCSS.6.EE.A.3

Simplify the expression $\left(3r^2+2-4r^3\right)-\left(4r^3-3r^2+3\right)$ 

•  $-8r^3-6r^2-1$  

•  $-8r^3+5$  

•  $-8r^3+6r^2-1$  

•  $-8r^3+14r^2-1$  

Tags

CCSS.HSA.APR.A.1

3(x² - 2x - 7) - 5(x² - 3x + 1) =

• -2x² - 21x - 26

• -2x² - 21x - 16

• -2x² + 9x - 16

• -2x² + 9x - 26

Tags

CCSS.6.EE.A.3

What is the product of (x + 3y) and (2x - y)?

• 2x² + 5xy - 3y²

• 2x² + 7xy - 3y²

• 2x² - 3y²

• 2x² + 6xy - 3y²

Find the product of (2x - 5) and (x² + 3x - 7)

• 2x³ + x² - 29x + 35

• 2x³ - 5x² - 15x + 35

• 2x³ - x² - x + 35

• 2x³ + x² + x + 35

What is  $\sqrt{45}$  in simplest radical form?

• $9\sqrt{5}$

• $5\sqrt{9}$

• $5\sqrt{3}$

• $3\sqrt{5}$