UNIT 5 REVIEW

Use the distributive property to write two different expressions equal to 108. Each expression should be the product of a number and a sum. 

Enter your TWO expressions and show your work or explanation in the box provided. 

(a)  

The cost for renting a kayak is $6.00 for the first hour and $4.75 for each additional hour. The following expression can be used to calculate the total cost of the kayak rental, where h represents the number of hours the kayak was rented.

6.00 + 4.75(h - 1)

Which expression is equivalent to 6.00 + 4.75(h - 1) and is written as a sum of two terms? 

• 10.75(h - 1)

• 4.75h + 1.25

• 6.00 + 4.75h - 1

• 10.75h - 1

Which expression is equivalent to 85 + 34?

• 17(5 + 34)

• 2(42 + 17)

• 5(17 + 7)

• 17(5 + 2)

Mr. Blackburn writes 4s = 56 and {13, 14, 15, 16} on the board.  Select the value from the set that is a solution of the equation.

• 13

• 14

• 15

• 16

Q5.

Lia mixes concentrate and water in the correct ratio to make a cleaning solution. The table shows how much concentrate to mix with different amounts of water. Lia says a graph of the relationship includes the point (96, 270). Is Lia correct?

CONCENTRATE 64 128 192 256

WATER 180 360 540 720

Enter your answer and explain your reasoning in the box provided. 

(a)  

Select the value in the set {16, 18, 51, 57}  that is a solution of the equation 3p = 54?

• 16

• 18

• 51

• 57

Write a whole number in each blank to show a product that is equivalent to the sum 48 + 88. Write your answers in the boxes.

48 + 88 

____ (6 + ___)

(a)  

Lukas collects donations to upgrade his local playground. At the end of August, he has $230.75 in donations. In September, he collects donations of $17.75 from each person who donates. At the end of September, he has $479.25 in donations. an equation with a variable to find the number of donations Lukas collects in September.

Part A: 

Write an equation with a variable that can be solved to find the number of donations Lukas collects in September.

Enter your equation in the box provided.

PART B: How many donations did Lukas collect in September?  Use you equation from Part A to solve.

(a)  

Northview Swim Club has a number of members on Monday.

On Tuesday, 22 members cancel their membership.

On Wednesday, 17 new members join.

Northview Swim Club has 33 members on Thursday morning.

The equation m - 22 + 17 = 33 represents the situation. Solve the equation and enter your answer in the box below. (1 point)

Hint:  Only enter numbers in the box below.

(a)  

One breath mint has 4.5 calories. Each bag of breath mints contains 60 breath mints.

Write an equation with two variables that can be used to determine the total number of calories of the breath mints in any number of bags of breath mints.

Explain what each variable represents.

Enter your equation and variable explanations in the box provided.

(a)