Quiz about August 2024 M.C

Question 1

What is the correct factorization of $$x^2+4x-12$$ ?

Accepted Answer

(x - 2)(x + 6)

Answer

(x + 3)(x - 4)

Answer

(x - 3)(x + 4)

Answer

(x + 2)(x - 6)

Question 2

Which expression is equivalent to $$3(x^2-2x+3)-(4x^2+3x-1)$$ ?

Accepted Answer

$$-x^2-9x+10$$

Answer

$$-x^2+x+2$$

Answer

$$-x^2-8x+7$$

Answer

$$-x^2-3x+8$$

Question 3

A bookstore owner recorded the number of books sold and the profit made selling the books. What is the average rate of change, in dollars per book, between 100 and 350 books sold?

Accepted Answer

1.50

Answer

0.50

Answer

0.67

Answer

2.00

Question 4

If $$f(x)=x^2$$ , then which function represents a shift of the graph of $$f\left(x\right)$$ 4 units to the right and 3 units down?

Accepted Answer

$$h(x)=(x-4)^2-3$$

Answer

$$g(x)=(x+4)^2+3$$

Answer

$$j(x)=(x+4)^2-3$$

Answer

$$k(x)=(x-4)^2+3$$

Question 5

The amount of money a plumber charges is represented by the function p(h) = 45 + 90h . The best interpretation of the y-intercept of this function is that the plumber charges

Accepted Answer

(1) $45 to come to the house

Answer

(2) $45 per hour that he works

Answer

(3) $90 to come to the house

Answer

(4) $90 per hour that he works

Question 6

What is the solution to the inequality $$2m-4\le3(2m+4)$$ ?

Accepted Answer

$$m\ge-4$$

Answer

$$m\le-2$$

Answer

$$m\ge-2$$

Answer

$$m\le-4$$

Question 7

The sum of $$2\sqrt[]{54}$$ and $$2\sqrt{6}$$ is

Accepted Answer

$$8\ \sqrt[]{6}$$

Answer

$$4\sqrt{60}$$

Answer

$$8\ \sqrt[]{15}$$

Answer

$$7\ \sqrt[]{6}$$

Question 8

The functions $$f(x)=x^2-5x-14$$ and $$g(x)=x+2$$ are graphed on the same set of axes. What are the solutions to the equation f(x) = g(x)?

Accepted Answer

-2 and 8

Answer

-14 and 0

Answer

0 and 2

Answer

-2 and 7

Question 9

If $$x=4a^2-a+3$$ and $$y=a-5$$ , then which polynomial is equivalent to the product of x and y?

Accepted Answer

$$4a^3-21a^2+8a-15$$

Answer

$$-17a^2-2a-15$$

Answer

$$-17a^2+8a-15$$

Answer

$$4a^3-21a^2-2a-15$$

Question 10

Which function has the zeros -1, 3, and -4?

Accepted Answer

h(x) = (x + 1)(x - 3)(x + 4)

Answer

f(x) = (x + 1)(x - 3)(x - 4)

Answer

g(x) = (x - 1)(x + 3)(x - 4)

Answer

k(x) = (x - 1)(x + 3)(x + 4)

Question 11

Joe is ordering water for his swimming pool. He determines the volume of his pool to be about 3240 cubic feet. There are approximately 7.5 gallons of water in 1 cubic foot. A truck load holds 6000 gallons of water.

Which expression would allow Joe to correctly calculate the number of truck loads of water he needs to fill his pool?

Accepted Answer

4)

Answer

1)

Answer

2)

Answer

3)

August 2024 M.C

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