The Square Root Property

Multiple Choice

Solve for $$x:$$ $$x^2-17=0$$

• $$-\sqrt[]{17}$$

• $$\sqrt[]{17}$$

• $$\pm17$$

• $$\pm\sqrt[]{17}$$

Multiple Choice

Solve for $$x:$$ $$3x^2-9=6$$

• $$\pm\sqrt[]{3}$$

• $$\pm\sqrt[]{5}$$

• $$\pm15$$

• $$\pm5$$

Multiple Choice

Solve for $$x:$$ $$\left(x+1\right)^2-5=2$$

• $$-1\pm\sqrt[]{7}$$

• $$\pm\sqrt[]{7}$$

• $$-7\pm\sqrt[]{7}$$

• $$\pm7$$

Multiple Choice

Solve for $$x:$$ $$2x^2-24=0$$

• $$\pm3$$

• $$\pm\sqrt[]{3}$$

• $$\pm2\sqrt[]{3}$$

• $$\pm3\sqrt[]{3}$$

Multiple Choice

Solve for $$x:$$ $$\left(x+4\right)^2-26=6$$

• $$-2\pm2\sqrt[]{2}$$

• $$-4\pm4\sqrt[]{2}$$

• $$2\pm\sqrt[]{2}$$

• $$4\pm4\sqrt[]{2}$$

Multiple Choice

Solve using square roots.

• ±81

• ±9

• ±3

• No real solution

Multiple Choice

Solve for x: 
(x+6)²=49

• x=7,12

• x=±7

• x=1,-13

• x=43,-55

Multiple Choice

TWO-Step $$x^2-27=117$$  

• x = 12 and x = -12

• x = -12

• x = -12 and x = -12

• x = 8 and x = -8

Multiple Choice

THREE-Step $$(x+1)^2=25$$

• x = 5 and x = -5

• x = 4 and x = -6

• x = 5 and x = -9

• x = 3 and x = -6

Multiple Choice

What is the degree of every Quadratic Equation?

• 1

• 2

• 3

• 4

Multiple Choice

What is the greatest number of solutions that a Quadratic Equation can have?

• 0
• 1
• 2
• 3

Multiple Choice

Use the square root property to solve the Quadratic Equation.
2(x - 4)² = 200

• ±10

• -14, 6

• -6, 14

• 100

Multiple Choice

• {12.88,-12.88}

• {13.22,-13.22}

• {16}

• No Solution

Multiple Choice

Solve using square roots.
5b² - 4 = 41

• b = 9, b = -9

• b = 3, b = -3

• b = 8, b = -8

• no solution

Multiple Choice

Solve for x.

5(x - 3)² + 1 = 81

• x = -1, 7

• x = -7, 1

• x = ± 9

• x = 3, 10

Multiple Select

Which words also mean the same thing as solutions?

• x intercepts

• roots

• zeros

• y intercepts

Multiple Choice

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Multiple Choice

• A

• B

• C

• D

Multiple Choice

Which is the BEST method to use to solve this equation?

3a² = 27

• Square Root Method

• Factor Method

• Complete the Square

• Quadratic Formula

Multiple Choice

Solve using the square root property: $$\left(x+4\right)^2-7=-6$$  

• $$x=1,\ \ x=-1$$  

• $$x=-5,\ \ x=-3$$  

• $$x=5,\ \ x=-5$$  

• No Real Solution

Multiple Choice

Solve using the square root property: $$\frac{\left(x-1\right)^2}{2}=32$$  

• $$x=9,\ \ x=-9$$  

• $$x=17,\ \ x=-15$$  

• $$x=7,\ \ x=-9$$  

• $$x=9,\ \ x=-7$$  

Multiple Choice

Solve using the SQUARE ROOT PROPERTY:

$$3\left(x-1\right)^2=18$$  

• $$x=\frac{1}{3}\pm\sqrt[]{6}$$  

• $$x=\frac{1\pm\sqrt[]{18}}{3}$$  

• $$x=1\pm\sqrt[]{6}$$  

• $$x=\frac{-1\pm\sqrt[]{18}}{3}$$  

Multiple Choice

Solve using the SQUARE ROOT PROPERTY:

$$2\left(x-5\right)^2+7=13$$  

• $$x=-5\pm\sqrt[]{3}$$  

• $$x=5\pm\sqrt[]{3}$$  

• $$x=5\pm\sqrt[]{13}$$  

• $$x=5\pm\sqrt[]{10}$$