Completing the Square Practice

Gio is solving the quadratic equation by completing the square.

5x²+15x - 4 = 0

What should Gio do first?

• Isolate the constant

• Factor 5 out of the variable term

• Isolate the variable x

• Add 9 to both sides of the equation.

Tags

CCSS.HSA-REI.B.4B

Lie is solving the quadratic equation by completing the square.

3x²+18x-8=0

3x²+18x=8

What should Lie do next?

• Write the polynomial as a binomial squared.

• Factor 3 out of the variable terms

• Isolate the variable x

• Add 8 to both sides of the equation.

Tags

CCSS.HSA-REI.B.4B

Siena is solving the quadratic equation by completing the square.

3x²+9x - 4 = 0

3x²+9x=4

A(x²+3x) = 4

What is the value of A?

• -4

• -3

• 3

• 4

Tags

CCSS.HSA-REI.B.4B

Tran is solving the quadratic equation 2x²- 4x - 3 by completing the square. His first four steps are shown below.

Step 1: 2x² - 4x = 3

Step 2: 2(x²-2x) = 3

Step 3: 2(x² - 2x + 1) = 3 + 1

Step 4: 2(x-1)² = 4

• Step 1

• Step 2

• Step 3

• Step 4

Tags

CCSS.HSA-REI.B.4B

Patel is solving 8x²+ 16x + 3 = 0. Which steps could he use to solve the quadratic equation? 

• $8(x^2+2x+1)=–3+8$
  

• $x=-1\pm\sqrt{\frac{5}{8}}$

• $x=-1\pm\sqrt{\frac{4}{8}}$

• $8(x^2+2x+1)=3+1$

• $8(x^2+2x)=–3$

Tags

CCSS.HSA-REI.B.4B

What number is missing in the last step?

• -200

• -25

• 25

• 200

Tags

CCSS.HSA-REI.B.4B

Which is the best step to do next to solve the equation by completing the square?

• $9(x^2+6x+3)=25$

• $9(x^2+6x+3)=49$

• $9(x^2+6x+9)=31$

• $9(x^2+6x+9)=103$

Tags

CCSS.HSA-REI.B.4B