Quiz about Quadratics Algebraically

Question 1

Solve the quadratic equation. $$\left(y+2\right)^2=36$$

Accepted Answer

4 and -8

Answer

$$\pm6$$

Answer

4 and -4

Answer

2 and 6

Question 2

Solve the quadratic equation. $$\left(h-5\right)^2-64=0$$

Accepted Answer

13 and -3

Answer

-13 and 3

Answer

no real solutions

Answer

5 and 8

Question 3

Solve the quadratic equation. $$\left(y-4\right)^2=-100$$

Accepted Answer

no real solutions

Answer

-6 and 14

Answer

2 and 10

Answer

6 and -6

Question 4

What is the vertex of the given function? $$y=-4\left(x-1\right)^2+3$$

Accepted Answer

(1, 3)

Answer

(3, 1)

Answer

(3, -1)

Answer

(1, -4)

Answer

(-1, 3)

Question 5

Which equation has a vertex of (-3, 4)? Select all that apply.

Accepted Answer

f(x) = -2(x + 3)² + 4

Accepted Answer

f(x) = 12(x + 3)² + 4

Answer

f(x) = -1/2(x + 6)² + 8

Answer

f(x) = -(x - 3)² - 4

Answer

f(x) = -(x + 3)² - 4

Question 6

What is the vertex of this parabola?

Accepted Answer

(1, -2)

Answer

(1, 2)

Answer

(-1, -2)

Answer

(-1, 2)

Question 7

Does the graph of $$f\left(x\right)=-2\left(x+5\right)+2$$ have a minimum or a maximum?

Accepted Answer

Maximum

Answer

Minimum

Answer

It has neither.

Answer

It has both.

Question 8

What piece of information does c identify in the following equation?
y=ax²+bx+c

Accepted Answer

y-intercept

Answer

Zeroes

Answer

Axis of Symmetry

Answer

Direction

Question 9

$$6x^2-8=4\left(-2x^2+12\right)$$ Find the solutions

Accepted Answer

{2, -2}

Answer

No Real Solutions

Answer

{1.16, -1.16}

Answer

{1.58, -1.58}

Question 10

Solve the following quadratic equation: $$13=2x^2-13$$

Accepted Answer

{3.61, -3.61}

Answer

{13, -13}

Answer

0

Answer

No Real Solutions

Question 11

Solve the system of equations above. Select the answer choice that is a product of the x values that are solutions.

Accepted Answer

7

Answer

1

Answer

3

Answer

8

Question 12

What are the solutions to the system:
y = x² + 3x - 5
y = x + 3

Accepted Answer

(-4, -1) and (2, 5)

Answer

(-4, 2) and (-1, 5)

Answer

(2, -1 and (-4, 5)

Answer

(-4, 1) and (2, -1)

Question 13

Determine the number of solutions to this system of equations.

Accepted Answer

No solution

Answer

1 solution

Answer

2 solutions

Answer

infinite solutions

Question 14

Let x = a and x = b be the solutions to the system of equations. What is the value of a+b?

Accepted Answer

-2

Answer

-4

Answer

0

Answer

2

Quadratics Algebraically

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