Unit 3A Review

What is the solution to this equation?

 $-3\left(9x-2\right)=4\left(19-5x\right)$  

*Type the number only*

Tags

CCSS.7.EE.B.3

The values in the table represent a linear relationship between x and y.

What is the rate of change of y with respect to x?

Tags

CCSS.7.RP.A.2D

The value of y is directly proportional to the value of x. When x = 4.5, the value of y is 27. What is the value of y when x is 18?

*Type the number only*

Tags

CCSS.7.RP.A.2B

What is the slope of a line that passes through the points  $\left(6,\ -29\right)$  and  $\left(-8,\ 13\right)?$  

The graph of linear functions $f$ and $g$ are shown on the grid.  

Which function is best represented by the graph of $g?$  

•  $g\left(x\right)=\frac{1}{3}f\left(x\right)$  

•  $g\left(x\right)=3f\left(x\right)$  

•  $g\left(x\right)=f\left(x\right)+3$  

•  $g\left(x\right)=f\left(x\right)-3$  

A student graphed $f\left(x\right)=x$ and $g\left(x\right)=f\left(x\right)+8$ on the same coordinate grid.  Which statement best describes how the graphs of $f$ and $g$ are related?

• The graph of $f$ is shifted 8 units down to create the graph of $g.$  

• The graph of $f$ is steeper than the graph of $g.$  

• The graph of $f$ is shifted 8 units up to create the graph of $g.$  

• The graph of $f$ is less steep than the graph of $g.$   

The function $y=5.50+2\left(x-1\right)$  can be used to determine the cost in dollars for an uber ride of  $x$  miles. 

What is the rate of change of the cost in dollars with respect to the number of miles?

• $7.50 per mile

• $5.50 per mile

• $2.00 per mile

• $6.50 per mile

Tags

CCSS.7.RP.A.2D

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The graph shows the linear relationship between the number of new words learned and the number of weeks in a language program.

What is the rate of change of the number of new words learned with respect to the number of weeks in the program?

• 30 new words per week

• 15 new words per week

• $\frac{1}{30}$ new words per week

• $\frac{1}{15}$ new words per week

Tags

CCSS.7.RP.A.2D