Solving multi-step problems using quadratic equations in one variable

Tags

CCSS.HSA-REI.B.4B

What error occurred when solving by square root method?

 $25x^2=64$  

 $x^2=\frac{64}{25}$  

 $\sqrt{x^2}=\sqrt{\frac{64}{25}}$  

 $x\ =\left\{\frac{8}{5}\right\}$    


• Answer should always be in decimal form

• Forgot to add the  $\pm$  sign

• Cannot use the square root method when the "a" value is odd

Tags

CCSS.HSA-REI.B.4B

Solve by the Extraction of Roots method: x² = 16

• ± 4

• ± 8

• 4

• 8

Tags

CCSS.HSA-REI.B.4B

 $x^2=20$  Using the square root property, find the roots of the quadratic equation.

•  $x=\left\{\pm2\sqrt{5}\right\}$  

•  $x=\left\{\pm5\sqrt{2}\right\}$ 

•  $x=\left\{2,\ 5\right\}$  

•  $x=\left\{-5,-2\right\}$ 

Tags

CCSS.HSA-REI.B.4B

What would be the most efficient method to solve the following Quadratic?

81x² - 121 = 0

(Remember: this considers what most people would claim is the fastest and easiest method)

• Difference of Two Squares Factoring

• Quadratic Formula

• Completing the Square

• Factoring by Finding 2 numbers that multiply to "a⋅c" and add to "b", and grouping.

Tags

CCSS.HSA-REI.B.4B

Solve by the Extraction of Roots method: -5x² = -50

• ± 5

• ± 10

• ± √10

• -10

Tags

CCSS.HSA-REI.B.4B

What is the solution set for the quadratic equation $x^2-16=0$ ? 

• {4}

• {-4, 4}

• {256}

• {-256, 256}

Tags

CCSS.HSA-REI.B.4B

Which quadratic equation can be solved by the square root method?

Tags

CCSS.HSA-REI.B.4B

Which is the best (fastest/shortest) method you should use to solve this equation: 5x² = 45?

• Graphing

• Square Roots

• Completing the Square

• Quadratic Formula

Tags

CCSS.HSA-REI.B.4B

Use the square root property to solve for x:

x²+ 12x +36 = 49

• x=7,12

• x=±7

• x=1,-13

• x=43,-55

Tags

CCSS.HSA-REI.B.4B