7th ACA Test 3-2 Review: Linear Relationships

Diego is in the defense on the football team. In 1 game he intercepted the football 18 times. Write an equation that best represents y, the total number of footballs Diego intercepts in x days if he continues at this rate?

• y = 18x

• y = x + 18

• y = 18 + x

• y = x/18

A recipe for chocolate chip cookies uses 2 cups of chocolate chips to make 36 cookies. What is the constant of proportionality that relates the cookies made, y, to the cups of chocolate chips, x?

Mathematical Equivalence

ON

A pilot is flying a plane to LA. To rent the plane, he pays a $50.12 initial down payment plus $12.60 per hour it takes him to fly the plane to LA. Which equation can be used to find y, the total cost of the flight, if x represents the number of hours it took to fly to LA?

y=​ (a)   x+​ (b)  

• 12.60
• 50.12
• 3.98
• 631.51
• 62.72
• 37.52

A table of x- and y-values is shown.

What is the constant of proportionality that relates y to x?

Mathematical Equivalence

ON

Write an equation that represents the relationship between the variables given in the context.

y=​ (a)   x+​ (b)  

• 4
• -3
• -4
• 3
• 12
• 24
• 8
• 9
• -15

Avree jogs at a constant rate of 0.2 miles per minute. Which equation represents the distance

Avree jogs, y, in x minutes?

y=​ ​ (a)   ​ x

• 0.2
• 0.1
• 0.02
• 2
• 0.5
• 1

Write an equation that best represents the relationship between x and y in the graph.

y=​ ​​ (a)   x+​ (b)   ​

• -3
• 4
• 3
• -4
• 1
• 0
• 5
• -2

Using the graph below, identify the following: Rate of Change: ​ ​​ (a)   Y-Intercept: ​ (b)  

• 5
• 2
• -5
• -2
• 0
• 3
• 1
• -1
• -3

Daniel plays the viola at a constant rate of 3 notes per second. Create a graph to represent y, the number of notes he plays in x seconds.

J'veya draws 6 pictures a class. Make a graph that best represents the relationship between x, the number of classes J'veya spent drawing, and y, the total number of pictures she drew?