Topics
4. Proportional Relationships & Lines
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United States of America
Grade 8

Topic Review: Proportional relationships and lines

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

A tap fills up a $210$210 liter tub in $7$7 hours.

a

Which of the following is the compound unit for the rate of water flow?

L

A

hrs/L

B

hrs

C

L/hr

D
b

What is the rate of water flow of the tap in liters per hour?

Easy
1min

In Michael's chocolate drink, the relationship between $t$t teaspoons of cocoa and $c$c cups of milk is shown on the graph.

Easy
1min

The graph shows the amount of time it takes Tricia to make beaded bracelets.

Find the unit rate.

Medium
< 1min

James is making cups of fruit smoothie. The amount of bananas and strawberries he uses is shown in the proportion table.

Find the unit rate for this relationship.

Medium
1min
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Outcomes

8.EE.B.5

Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

8.EE.B.6

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

8.F.A.3

Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.

8.F.B.4

Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

8.F.B.5

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g. Where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

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