Inverse Proportions and Rate of Change Quiz

Inverse Proportions and Rate of Change Quiz

Assessment

Passage

Mathematics

11th Grade

Hard

CCSS
8.F.B.4, HSF.IF.A.2, HSF-LE.A.1B

+3

Standards-aligned

Created by

Alex Chin

FREE Resource

8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is an inverse proportion?

A relationship where one value increases as the other increases

A relationship where one value decreases as the other increases

A relationship where both values increase

A relationship where both values decrease

Tags

CCSS.HSF-LE.A.1B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Calculate f(2.3) for the function f(x) = x² - 3.

2.29

2.19

2.39

2.49

Tags

CCSS.HSF.IF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for calculating the rate of change?

(f(x2) - f(x1)) / (x2 - x1)

(x2 - x1) / (f(x2) - f(x1))

(f(x1) + f(x2)) / (x1 + x2)

(x1 + x2) / (f(x1) + f(x2))

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is an example of direct proportion?

Car depreciation

Hair growth

Half-life

Pizza at a fall festival

Tags

CCSS.7.RP.A.2A

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the second step in solving inverse proportions as shown in the image?

Solve for y

Write the equation

Solve for x

Find k

Tags

CCSS.6.EE.B.7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used to calculate the rate of change between two points?

\frac{y_2 - y_1}{x_2 - x_1}

\frac{x_2 - x_1}{y_2 - y_1}

y_2 - y_1

x_2 - x_1

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the rate of change from x = 2 to x = 5 for the function f(x) = \frac{4}{x^2}?

-0.29

0.29

-0.5

0.5

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of $ t(w) $ when $ w = 15 $ using the formula $ t(w) = \frac{500}{w} $?

33.33

50

25

100

Tags

CCSS.HSF.IF.A.2