Free Printable APPC Module 1 Test Review

1.

Let R(c) be the total revenue earned when c dollars is charged for one candle. Which expression can be used to find the average rate of the total revenue for the cost of a candle between c=$3 and c=$8?

a)

$\frac{R\left(8\right)+R\left(3\right)}{2}$

b)

$\frac{R\left(8\right)-R\left(3\right)}{11}$

c)

$\frac{R\left(8\right)-R\left(3\right)}{5}$

d)

$\frac{8-3}{R\left(8\right)-R\left(3\right)}$

2.

The graph of a function $y=f\left(x\right)$ is shown. On which of the following interval(s) of x is $f$ increasing at a decreasing rate?

a)

$\left(-\infty,1\right)$

b)

$\left(1,2\right)$

c)

$\left(2,3\right)$

d)

$\left(3,\infty\right)$

3.

The graph of a function $y=h\left(x\right)$ is shown. If $h\left(a\right)=h\left(b\right)=1$ and $a\ne b$ , find $b+a$ .

a)

-1

b)

0

c)

1

d)

2

4.

Which table represents a linear function?

a)

b)

c)

d)

5.

Which table is a linear function?

a)

b)

6.

Find the value of $x^2 + 3x + 2$ when $x = -2$ .

a)

-2

b)

0

c)

2

d)

4

7.

What is the average of the numbers 2, 4, 6, and 8?

a)

3

b)

4

c)

5

d)

8

8.

Simplify the expression $3x + 2x - 5$ .

a)

$5x - 5$

b)

$5x + 5$

c)

$x - 5$

d)

$x + 5$

9.

What is the value of $\sqrt{16}$ ?

a)

2

b)

4

c)

8

d)

16

10.

Solve the equation $2x + 5 = 15$ .

a)

$x = 5$

b)

$x = 10$

c)

$x = 15$

d)

$x = 20$

11.

Selected values of a quadratic function $k$ are given in the table. Find the value of $b-a$ .

a)

98

b)

128

c)

158

d)

242

12.

An average rate of change is calculated over an interval and an instantaneous rate of change is calculated at one point. (a)

Choose from the below words

True

False

13.

An average rate of change represents the slope of a tangent line and an instantaneous rate of change represents the slope of a secant line. (a)

Choose from the below words

false

true

14.

Match the following.

a)

The change in the average rates of change of a linear function is

1.

zero

b)

The change in the average rates of change of a quadratic function is

2.

constant

c)

Point where the concavity changes; increasing to decreasing or decreasing to increasing

3.

point of inflection

d)

Rate of change is increasing

4.

concave up

e)

Rate of change is decreasing

5.

concave down

15.

Reorder the following from least to greatest by looking at the graph of $h\left(x\right)$

a)

Average rate of change on the interval [4, 6]

b)

Instantaneous rate of change at x=2

c)

Average rate of change on the interval [0, 4]

d)

Instantaneous rate of change at x=8

1)

2)

3)

4)

APPC Module 1 Test Review

Total questions: 15

Worksheet time: 32mins

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