Quiz about T 8-9 Test: Quadratic Functions and Equations

Question 1

Solve $$2x^2 + 7x - 4 = 0$$ by factoring.

Accepted Answer

{-4, 1/2}

Answer

{1}

Answer

{-4, -1/2}

Answer

{4, 1/2}

Question 2

Find the solutions of $$x^2 - x = x$$ .

Accepted Answer

x = 0 or x = 2

Answer

x = 1 or x = -1

Answer

x = 0 or x = 1

Answer

x = 2 or x = -2

Question 3

Select all the equations that have only one real solution.

Accepted Answer

$$4x^2 + 4x + 1 = 4x + 1$$

Accepted Answer

$$2x^2 + x + 1 = x + 1$$

Answer

$$4x^2 = 1$$

Answer

$$4x^2 - x - 1 = 0$$

Answer

$$2x^2 + 3x + 1 = 2x + 1$$

Question 4

Solve the system of equations: $$y = 2x + 16$$ $$y=x^2+3x+10$$ .

Accepted Answer

{2, 20} and {-3, 10}

Answer

{0, 1} and {-1, 14}

Answer

{1, 18} and {-2, 12}

Answer

{-2, 14} and {-8, 0}

Question 5

Solve $$x^2 - 5x = 84$$ by factoring.

Accepted Answer

x = 12 or x = -7

Answer

x = 7 or x = -12

Answer

x = 14 or x = -6

Answer

x = 6 or x = -14

Question 6

The profit from a business is described by the function $$P(x) = -3x^2 + 12x + 75$$ , where x is the number of items made, in thousands, and P(x) is the profit in dollars. How many items will maximize the profit?

Accepted Answer

2,000

Answer

1,000

Answer

4,000

Answer

6,000

Question 7

Use the Quadratic Formula to solve $$x^2 + 14x + 44 = 0$$ . Which of the following are the solutions to the nearest hundredth?

Accepted Answer

A -9.24 and -4.76

Answer

B -9.24 and 4.76

Answer

C 9.23 and 4.76

Answer

D 16.64 and -2.64

Question 8

What is an approximate x-value for the equation y = $$-2x^2 + 10$$ when y = 1?

Accepted Answer

A 2.1

Answer

B 4.1

Answer

C 8.0

Answer

D 10.6

Question 9

Find the value of c that makes $$25x^2 + 70x + c$$ a perfect square trinomial.

Accepted Answer

49

Answer

36

Answer

64

Answer

81

Question 10

The zeros of a quadratic function are 9 and -4. Which of the following could be the function? Select all that apply.

Accepted Answer

$$f(x) = x^2 - 5x - 36$$

Accepted Answer

$$f(x) = \frac{x^2 - 5x - 36}{6}$$

Answer

$$f(x) = x^2 - 5x + 36$$

Answer

$$f(x) = x^2 + 5x - 36$$

Question 11

What is the discriminant of the equation $$2x^2 + 3x + 4 = 0$$ ?

Accepted Answer

-23

Answer

41

Answer

-24

Answer

23

Question 12

Humza rewrote the equation $$x^2 - 10x - 14 = 0$$ so that he can solve by completing the square. Which equation did he write?

Accepted Answer

$$(x - 5)^2 = 39$$

Answer

$$(x - 5)^2 = 114$$

Answer

$$(x - 5)^2 = 14$$

Answer

$$(x - 5)^2 = 11$$

Question 13

Complete the square to find the minimum value of the function y = $$x^2 + 22x + 3$$ .

Accepted Answer

-118

Answer

-124

Answer

3

Answer

11

Question 14

The graph of $$g\left(x\right)=ax^2$$ opens downward and is wider than the graph of f(x) = $$x^2$$ . Which of the following could be the value of a?

Accepted Answer

-0.1

Answer

-10

Answer

0.1

Answer

10

Question 15

What is the point on the graph of function f(x) = $$2(x - 4)^2 - 1$$ at x = 4?

Accepted Answer

(4, -1)

Answer

(4, 0)

Answer

(4, 1)

Answer

(4, -2)

Question 16

What is the vertex of the graph of f(x) = $$(x + 1)^2 - 4$$ ?

Accepted Answer

A (-1, -4)

Answer

B (1, -4)

Answer

C (-1, 4)

Answer

D (1, 4)

Question 17

What is the axis of symmetry of the function f(x) = $$-3x^2 + 12x - 11$$ ?

Accepted Answer

x = 2

Answer

x = -3

Answer

x = -2

Answer

x = 1

Question 18

The graph of $$h\left(x\right)=\left(x+4\right)^2-7$$ is a transformation of f(x)=x² by ___ unit(s) _______ and ___ unit(s) _______ of f(x).

Accepted Answer

4 units left and 7 units down

Answer

4 units right and 7 units up

Answer

7 units left and 4 units down

Answer

4 units up and 7 units right

Question 19

If f(x) = $$x^2 + 2x + 1$$ and g(x) = $$7x - 5$$ , for which values of x is f(x) = g(x)?

Accepted Answer

{2, 3}

Answer

{-1, 6}

Answer

{-6, -1}

Answer

{-3, -2}

T 8-9 Test: Quadratic Functions and Equations

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