Unit 3B Test Review

When the expressions  $x^2-49$  and  $x^2-x-56$  are factored, what factor do they have in common?

• (x+7)

• (x-7)

• (x-8)

• (x+8)

 $36x^2-100$  Factor the expression completely.

•  $\left(6x-10\right)^2$  

•  $\left(6x+10\right)^2$  

•  $\left(x-10\right)\left(36x+10\right)$  

•  $\left(6x+10\right)\left(6x-10\right)$  

Solve    2x² + 7x - 15 = 0

• -1.5 or 5
• No Solution
• -5 or 1.5
• 0.7 or 5

Tags

CCSS.HSA-REI.B.4B

Solve using the quadratic formula...

 $9x^2-7x-4=0$  

• 
• 
• 
• No solution

 If  $\left(a-4\right)^2=11$  , then what values of a make the quadratic equation true?

•  $a=-4\pm\sqrt{11}$  

•  $a=4\pm\sqrt{11}$  

•  $a=\pm\sqrt{15}$  

•  $a=125$  

An equation and the first step in its solution are shown below.

Equation:  $b^2+18b+20=0$  
Step 1:  $b^2+18b+h=-20+h$  

What value of h is used to solve the equation by the method of completing the square?

• h=18

• h=81

• h=64
  

• h=100

What are the solutions?

• 0 and -4

• 0 and 4

• 2 and -2

• 2

Which expression shows  $16x^8-25$  written as a difference of two squares?

•  $\left(4x^2\right)^4-5^2$  

•  $\left(4x\right)^8-5^2$  

•  $\left(4x^4\right)^2-5^2$  

•  $\left(4x\right)^2-5^2$  

Solve: $3x^2-4x-22=0$  

• no solution

•  $\frac{-5\pm\sqrt{5}}{10}$  

•  $\frac{2\pm\sqrt{70}}{3}$  

•  $\frac{-6\pm\sqrt{78}}{3}$  

Write the factored form of the polynomial modeled by this geometric diagram.

• (3x+1)(x-2)

• (3x+2)(x-1)

• (3x-2)(x+1)

• (3x+1)(x+2)