Eureka Grade 6 Module 4 Test Review

Module 4 Math Review

#1

Penelope is deciding which cell phone plan is the best deal for her to buy. Super Cell charges a monthly fee of $12 and also charges $0.10 per call. She makes a note that the equation is M = 0.1C + 12, where is the monthly charge, in dollars, and is the number of calls placed. Global Cellular has a plan with no monthly fee but charges $0.30 per call. She makes a note that the equation is M = 0.3C , where is the monthly charge, in dollars, and is the number of calls placed. Both companies offer unlimited text messages.

Multiple Choice

Which cell phone plan is the best deal for Penelope?

• If she makes less than 60 calls, then Global Cellular is the best deal. If she makes more than 60 calls, then Super Cell is the best deal.

• If she makes less than 100 calls, then Global Cellular is the best deal. If she makes more than 100 calls, then Super Cell is the best deal.

• If she makes more than 60 calls, then Global Cellular is the best deal. If she makes less than 60 calls, then Super Cell is the best deal.

• If she makes more than 100 calls, then Global Cellular is the best deal. If she makes less than 100 calls, then Super Cell is the best deal.

#2

Samantha is saving her money to buy a new PlayStation, which costs $800 . She has already saved $80. She earns $20 per week working at the stables and wonders how many weeks it will take to earn enough for a PlayStation of her own. 

Multiple Choice

Show the relationship between the number of weeks and Samantha’s savings using an expression.

• 20w + 80 = S

• 80w + 20 = S

• 80s + 20 = W

• 20s + 80 = W

Multiple Choice

How many weeks will Samantha have to work to earn enough to buy the PlayStation?

• 36

• 48

• 39

• 42

#3

The elevator at the local mall has a weight limit of 1,600 pounds and requires that the maximum person allowance be no more than eight people. 

Multiple Choice

Let x represent the number of people.  Write an inequality to describe the maximum allowance of people allowed in the elevator at one time.  

• 0 $\le$  x $\le$  8

• 0 $\ge$  x $\ge$  8

#3b

Draw a number line diagram to represent all possible solutions to part(a).  

Multiple Choice

Let w represent the amount of weight, in pounds.  Write an inequality to describe the maximum weight allowance in the elevator at one time.  

• 0 $\le$  w $\le$  1,600

• 0 $\ge$  w $\ge$  1,600

#3d

Draw a number line diagram to represent all possible solutions to part(c). 

#4

Treyton's baseball team carpools for practice every week. This week is his parents’ turn to pick up team members and take them to the baseball field. While still staying on the roads, Treyton's parents always take the shortest route in order to save gasoline. Below is a map of their travels. Each gridline represents a street and the same distance. Treyton's father checks his mileage and notices that he drove 36 miles between his house and Stop 3. 

Multiple Choice

Which equation matches the situation?

• 12g = 36

• 36g = 12

• 9g = 36

• 36g = 9

Fill in the Blank

How many miles does each gridline represent? (Just type the number)

Fill in the Blank

Using this information, determine how many total miles Treyton's father will travel from home to the baseball field, assuming he made every stop.

Fill in the Blank

At the end of practice, Treyton's father dropped off team members at each stop and went back home. How many miles did Treyton's father travel all together?

#5

For a science experiment, Melissa reflects a beam off a mirror.  She is measuring the missing angle created when the light reflects off the mirror.  (Note: The figure is not drawn to scale.) Use an equation to determine the missing angle, labeled x in the diagram.  

Fill in the Blank

Write an equation to find the missing angle.

Multiple Choice

Solve for x.

• x = 90

• x = 80

• x = 100

• x = 110