Algebra II Sol Released

Identify each expression that is a factor of this polynomial: \(4x^2 - 2x - 2\).

• 2x + 1

• 2

• x - 1

• 2x - 1

• 4x - 1

Which model correctly represents the product of (x + 3) and (x + 4)?

• A

• B

• C

• D

Tags

CCSS.HSA.APR.C.4

What is √18 written in simplest radical form?

• 2√3

• 3√2

• 3√6

• 6√3

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

• $ c - 12 $

• $ c - 8 $

• $ c - 2 $

• $ c - 1 $

Tags

CCSS.HSA.APR.B.2

What is the value of this expression when $ x = \frac{2}{3} $?\[ x^2 + 3x - 2 \]

• $\frac{16}{3}$

• $\frac{40}{9}$

• $\frac{4}{3}$

• $\frac{4}{9}$

Tags

CCSS.6.EE.A.2C

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

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

Tags

CCSS.6.EE.B.8

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