Algebra Sol Test

Which binomial is a factor of $ c^2 - 12c + 32 $?

• $ c - 12 $

• $ c - 8 $

• $ c - 2 $

• $ c - 1 $

Tags

CCSS.HSA.APR.B.2

Which expression is equivalent to $ (3x^{-4})^2 (5x^{-2}) $?

• $\frac{30}{x^{10}}$

• $30x^{14}$

• $\frac{45}{x^{10}}$

• $45x^{14}$

Tags

CCSS.HSA.APR.A.1

Which polynomial is equivalent to $ (18n^2 - 9n + 1) \div (3n - 1) $? Assume the divisor is not equal to zero.

• $ 6n - 1 $

• $ 6n + 1 $

• $ 6n^2 - 3 $

• $ 18n^2 - 3 $

Tags

CCSS.HSA.APR.D.6

What is the value of this expression when $ a = 64 $ and $ b = -5 $? $-2 \sqrt[3]{a} + b^2$

Look at the system of equations. What is the value of \( x \) for the solution to this system of equations?

• -5

• -3

• 3

• 5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Pierre solved an inequality as shown. Step 1: \(-8 \geq n + 3\) Step 2: \(-8 + (-3) \geq n + 3 + (-3)\) Step 3: \(-11 \geq n + 0\) Step 4: \(-11 \geq n\) What property justifies the work between Step 3 and Step 4?

• Inverse property of addition

• Identity property of addition

• Addition property of inequality

• Commutative property of addition

Which property of real numbers justifies the work shown? \[ 13x - 1 = (12x + 15) + 7x \] \[ 13x - 1 = 7x + (12x + 15) \]

• Commutative property of addition

• Associative property of addition

• Identity property of addition

• Distributive property

Tags

CCSS.6.EE.A.3

What is the slope of the line represented by \( \frac{1}{8}x + 3y = 3 \)?

• -\frac{1}{8}

• -\frac{1}{24}

• \frac{1}{24}

• \frac{1}{8}

Tags

CCSS.8.EE.B.5

Travis would like to buy some toys to donate to charity. He plans to buy 9 dolls at $d$ dollars each, 2 toy cars at $c$ dollars each, and 3 train sets at $t$ dollars each. Which expression represents the total cost, in dollars, of these items that Travis wants to buy?

• $9c + 2t + 3d$

• $9d - 2c - 3t$

• $9d + 2c + 3t$

• $9c - 2t - 3d$

Tags

CCSS.HSA-SSE.A.1A

Identify your choice(s) for #3.

• x√50y

• 64√x

• 7x²y√2xy

• √12x³y⁴