Dependent and Independent Variables: Grade 6 Math Quiz – PDF Download

This 10-question multiple-choice quiz checks independent and dependent variables in Grade 6: equations, tables, and graphs (6.EE.C.9). Pick one answer for each question and read the explanation to see the typical mistake.

Grade 6Common Core: 6.EE.C.9

🎯 Dependent and Independent Variables – Grade 6 math quiz

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Question 1

In the equation $d = 65t$, which variable is independent?

A $d$

B $65$

C $65t$

D $t$

Question 2

Mei earns money for each hour she babysits. Which quantity is the dependent variable?

A The hours she works

B The dollars she earns

C The hourly rate

D The day of the week

Question 3

Notebooks cost $7 each. Which equation gives the cost $c$ of $n$ notebooks?

A $n = 7c$

B $c = n + 7$

C $c = 7 - n$

D $c = 7n$

Question 4

What is the value of $d$ in $d = 65t$ when $t = 3$?

A $68$

B $130$

C $195$

D $62$

Question 5

The table shows the pay p for t hours. Which equation matches it?

Pay for t hours.

A $p = t + 12$

B $p = 12t$

C $p = 12 - t$

D $t = 12p$

Question 6

The graph shows $y$ for different values of $x$. What is $y$ when $x = 3$?

Graph of y against x.

A $8$

B $16$

C $12$

D $7$

Question 7

The graph shows the points for a rule. Which equation matches the graph?

Graph of y against x.

A $y = 3x$

B $y = x - 3$

C $y = 3 - x$

D $y = x + 3$

Question 8

What is the value of $y$ in $y = x + 5$ when $x = 7$?

A $12$

B $35$

C $2$

D $57$

Question 9

Which ordered pair is a point of the graph of $y = 4x$?

A $(3, 12)$

B $(3, 7)$

C $(4, 3)$

D $(12, 3)$

Question 10

Mei walks dogs for $11 per hour. Which statement is correct?

A Hours depend on pay, so pay is the independent variable

B Pay and hours are both dependent variables

C Pay depends on hours, so hours is the independent variable

D The rate 11 is the dependent variable

🎉 Quiz complete!

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Remember:

The independent variable is the input; the dependent variable is the output that depends on it.
In $d = 65t$, time $t$ is independent and distance $d$ is dependent.
The independent variable goes on the horizontal axis and the dependent variable on the vertical axis.
Each row of a table is an ordered pair: $t = 3$ and $d = 195$ give the point $(3, 195)$.

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Dependent and Independent Variables: Grade 6 Math Quiz – PDF Download

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