Proportionality Test Study Guide

Presentation

•

Mathematics

•

7th Grade

•

Easy

•

CCSS

7.RP.A.2D, 7.RP.A.2B, 7.RP.A.2A

Standards-aligned

Tavaria Miller

Used 1+ times

FREE Resource

8 Slides • 25 Questions

Proportionality Test Study Guide

Make sure to take notes in your notebooks.

Your test will cover

1) Identifying if a relationship is proportional

2) Finding the constant of proportionality

3) Review of previous material (including circles, conversions,

Identifying if a Relationship is Proportional

To determine if a relationship is proportional, you must determine which representation you're looking at.

A graph is proportional if it is LINEAR and PASSES THROUGH THE ORIGIN.

Tables are proportional if they show a CONSTANT RATIO of y divided x.

Equations are proportional when they are MULTIPLICATIVE.

Ratios are proportional if they are equivalent or if their cross products are the same.

Multiple Choice

Is the graph proportional or not?

proportional

NOT proportional

Multiple Choice

Is the table proportional or not?

proportional

NOT proportional

Multiple Choice

Is the equation proportional or not? $y=0.5x+5$

proportional

NOT proportional

Multiple Choice

Is the graph proportional or not?

proportional

NOT proportional

Multiple Choice

Is the equation proportional or not? $y=2x-10$

proportional

NOT proportional

Multiple Choice

Is the table proportional or not?

proportional

NOT proportional

Multiple Choice

Is the graph proportional or not?

proportional

NOT proportional

Multiple Choice

Is the equation proportional or not? $y=\frac{7}{8}x$

proportional

NOT proportional

Multiple Choice

Is the table proportional or not?

proportional

NOT proportional

Multiple Choice

Is the equation proportional or not? $y=-3x$

proportional

NOT proportional

Constant of Proportionality

The constant of proportionality is represented by the variable k.

It is the number that is multiplied by x in the equation y=kx.

Sometimes, the constant of proportionality is also called the rate of change or the unit rate.

To solve for the constant of proportionality, we divide y divided by x.

Multiple Choice

Which of the following is the correct formula for finding the constant of proportionality?

k = x/y

k = y/x

y = k/x

x = k/y

Constant of Proportionality from Graphs

To find the constant of proportionality from a graph, choose an ordered pair on the line and divide y divided by x.

Remember, ordered pairs are written as (x,y).

Multiple Choice

Which of the following ordered pairs is NOT part of the graph above?

(2, 94)

(4, 188)

(282, 6)

(8, 376)

Multiple Choice

What is the constant of proportionality for the following graph?

160

Multiple Choice

What is the ordered pair that represents the unit rate?

(1, 15)

(15, 1)

(4, 60)

Multiple Choice

Identify the constant of proportionality.

k = 6

k = 12

k = 1/6

k = 1/12

none (not proportional)

Tables

You can also find the constant of proportionality from tables.

Choose 1 row from the table and divide y divided by x.

Multiple Choice

What is the constant of proportionality?

Multiple Choice

Which of the tables above has a constant of proportionality of $0.20?

A & B

All of them

Multiple Choice

What is the constant of proportionality for the table above?

1/2

None of the above

Multiple Choice

What is the constant of proportionality of the relationship represented by the table above?

0.013

1/75

None of the above

Multiple Choice

The point (0, 0) is called the origin.

True

False

Multiple Choice

The horizontal axis is the y-axis.

True

False

Multiple Choice

According to the graph above, 5 bags of luggage weighs 150 pounds.

True

False

Constant of Proportionality from Equations

The constant of proportionality is the number multiplied times the x.

In the equation y=4x, the constant of proportionality is 4.

There are also some other important questions on this test. These will include:

CIRCLES

CONVERSIONS

FRACTIONS

DECIMALS

Multiple Choice

What number is pi?

1.41

2.00

3.14

5.14

Multiple Choice

What is the "formal" definition of pi?

22/7

3.1415926

the ratio of a circle's circumference to its diameter

the surface area of a sphere of diameter 22/7

Multiple Choice

The equation C = πd, is used to find the circumference of a circle given it's diameter. This formula can be rearranged to solve for pi. Which equation is written correctly to solve for pi?

π = Cd

π = C ÷ d

π = d ÷ c

π = C - d

Proportionality Test Study Guide

Make sure to take notes in your notebooks.

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