Quiz about Graphing, Factoring, and Square Roots Methods Quiz

Question 1

What are the solutions to the equation?

(x + 10)(x - 4) = 0

choose carefully!!

Accepted Answer

x = -10

x = 4

Answer

x = -4

x = -10

Answer

x = 10

x = 4

Answer

x = -4

x = 10

Question 2

What are the solutions to the equation?

3x(x + 1) = 0

choose carefully!!

Accepted Answer

x = 0

x = -1

Answer

x = 3

x = -1

Answer

x = 0x = 1

Answer

x = 1/3

x = -1

Question 3

What are the solutions to the equation?

(3x + 1)(x + 2) = 0

choose carefully!!

Accepted Answer

x = -2

x = -1/3

Answer

x = 2x = 1

Answer

x = -2

x = -1

Answer

x = 2

x = 1/3

Question 4

Use the factoring method to solve the equation:

$$x^2+11x-12=0$$

Accepted Answer

x = -12

x = 1

Answer

x = -12

x = -1

Answer

x = 12

x = -1

Answer

x = 12

x = 1

Question 5

Use the factoring method to solve the equation:

$$x^2-12x+32=0$$

Accepted Answer

x = 4x = 8

Answer

x = 2

x = -16

Answer

x = -2

x = 16

Answer

x = -4

x = -8

Question 6

Use the factoring method to solve the equation:

$$x^2-5x=0$$

Accepted Answer

x = 0x = 5

Answer

x = 0

x = -5

Answer

x = 1x = 5

Answer

x = -1

x = 5

Question 7

What are the solutions to the equation graphed here?

Accepted Answer

x = -1, 6

Answer

x = 1, -6

Question 8

What are the solutions to the equation graphed here?

Accepted Answer

x = 1

Answer

x = -1

Answer

x = -3

Answer

x = 3

Question 9

Solve by the square roots method:

$$2x^2-50=0$$

Accepted Answer

x = 5, -5

Answer

x = 25, -25

Answer

x = 5/2, -5/2

Answer

x = 5

Question 10

Solve by the square roots method:

$$4x^2-9=0$$

Accepted Answer

x = 3/2, -3/2

Answer

x = 3, -3

Answer

x = 3

Answer

x = 9/4, -9,4

Question 11

Which equation has no solution?

Accepted Answer

$$x^2+7=3$$

Answer

$$x^2\ +\ 12\ =\ 48$$

Answer

$$3x^2\ -\ 27\ =\ 0$$

Question 12

Find the axis of symmetry for
f(x) = x²- 8x + 15.

Accepted Answer

x = 4

Answer

x = -4

Answer

y = 4

Answer

y = -4

Question 13

Solve by factoring: x² = 7x + 18

Accepted Answer

9 and -2

Answer

-7 and -18

Answer

9 and 2

Answer

2 and 7

Question 14

Solve by factoring: 2x²+ 7x + 6 = 0

Accepted Answer

x = -3/2 and x = -2

Answer

x= 3/2 and x = 2

Answer

x = 6 and x = 7

Answer

x = -6 and x = -7

Question 15

Find the zero(s) by taking square roots.
$$x^2-7=0$$

Accepted Answer

$$\left\{\pm\sqrt{7}\right\}$$

Answer

$$\left\{7\right\}$$

Answer

$$\left\{-7\right\}$$

Answer

$$\left\{\pm\ 7\right\}$$

Question 16

Which of the following shows
f(x) = x² - 8x + 1
written in vertex form?

Accepted Answer

f(x) = (x - 4)² - 15

Answer

f(x) = (x - 4)² + 17

Answer

f(x) = (x - 4)² - 17

Answer

f(x) = (x - 4)² + 65

Question 17

Write the following in Vertex Form

y = (x - 8)(x + 2)

Accepted Answer

y=(x-3)²-25

Answer

y=(x+3)²-25

Answer

y=-(x-3)²-25

Answer

y=(x-8)²+2

Question 18

Find the axis of symmetry of:

$$y=2\left(x+8\right)\left(x-2\right)$$

Accepted Answer

x = -3

Answer

x = 3

Answer

x = -5

Answer

x = 5

Question 19

Given the axis of symmetry is x = 4, find the vertex of:

$$y=-2\left(x-5\right)\left(x-3\right)$$

Accepted Answer

(4,2)

Answer

(4,-2)

Answer

(5,0) and (3,0)

Answer

x = 4

Question 20

Find the vertex if

$$f\left(x\right)\ =\ -5x^2-10x$$ and the axis of symmetry is x = -1

Accepted Answer

(-1, 5)

Answer

(-1, -15)

Answer

(-1, -5)

Answer

(-1, 15)

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