6th Grade Independent and Dependent Variables Test with Point Values (PDF)

6th Grade math test: Independent and Dependent Variables – Maths PDF

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This variable relationships test for 6th Grade covers independent and dependent variables (Common Core 6.EE.C.9), with a free PDF to print.

This 45-minute test has 9 questions worth 20 points. It covers independent and dependent variables, equations, tables, and graphs for relationships like y = kx and y = x + c (Common Core 6.EE.C.9). Show your work.

Time and points

About this test

Grade: Grade 6
Chapter: Independent and Dependent Variables
Standards: 6.EE.C.9
Time: 45 minutes
Total: 20 points

Variable relationships test: questions

Question 1 – Variables [2 pts]

The cost y of a bus pass depends on the number of weeks x. Name the independent and dependent variables, and write the equation if the pass costs $8 per week.

Question 2 – Complete the table [2 pts]

Fill in y.

Complete the table for $y = x + 6$.

Question 3 – Equation from a graph [2 pts]

Boxes b and cookies c.

A bakery packs the same number of cookies c in every box. The graph shows c for b boxes. Write an equation and find the number of cookies in 12 boxes.

Question 4 – Graph [2 pts]

Coordinate plane.

Graph the points for $y = 2x$ when x is 1, 2, and 3.

Question 5 – Read the graph [2 pts]

A graph.

Write the equation for the graph and find y when x is 10.

Question 6 – Distance [2 pts]

A cyclist rides at 12 miles per hour. Write an equation for the distance d after t hours and find how long it takes to ride 54 miles.

Question 7 – Match the equation [2 pts]

Ethan is 5 years older than his sister. Write an equation for his age e in terms of her age s, and complete: when s = 8, e = ?; when s = 11, e = ?

Question 8 – Table and graph [3 pts]

Pay for dog walking.

Write an equation for the pay p. (1 point)
Find the pay for 7 hours. (1 point)
Explain which variable is independent. (1 point)

Question 9 – Compare relationships [3 pts]

Plan A costs y = 4x dollars for x months. Plan B costs y = x + 4 dollars for x months. Make a table for x = 1, 2, 3, 4 for both plans. For which of these values of x is Plan A cheaper than Plan B?

Key facts behind this variable relationships test

Key facts

The independent variable is the input; the dependent variable is the output.
In y = kx, y is k times x and the graph passes through the origin.
In y = x + c, y is c more than x and the graph crosses the y-axis at c.
A table, a graph, and an equation can show the same relationship.
Use substitution to find y from x, and solve an equation to find x from y.

How to use this variable relationships test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Grade 6 chapters: Grade 6 math.

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