Study Guide: Unit 5

For a monthly family cookout, David buys 3 packages of hot dogs and 4 packages of hamburger patties. Hot dog packages each contain x hot dogs. Hamburger packages each contain y hamburger patties. Complete the expressions for the total number of hot dogs and hamburger patties David buys for 6 cookouts. 

6( ​ (a)   x + ​ (b)   y)

​ (c)   x + ​ (d)   y

• 3
• 4
• 18
• 24
• 7

Anthony and Madison are new workers at a store. They each earn g dollars per hour for training and c dollars per hour for working with customers. 

- The first week, Anthony spends 8.5 hours training and 4.3 hours working with customers. 

- The same week, Madison spends 6.4 hours training and 5.2 hours working with customers. 

Which expression can be used to find Anthony and Madison’s total earnings that week?

• (8.5g + 4.3g) + (6.4c + 5.2c)

• (8.5 + 6.4g) + (4.3 + 5.2c)

• 12.8g + 11.6c

• 14.9g + 9.5c

Which sets of expressions are equivalent?

• A

• B

• C

• D

Which expression is equivalent to 24 + 8

• 8(3 + 1)

• 3(8 + 5)

• 8(3 + 8)

• 3(8 + 1)

Which sets of expressions are not equivalent?

• A

• B

• C

• D

 Two rectangles share a common side as shown. Determine whether each expression can be used to determine the total area, in meters, of the two combined rectangles. Which expressions are YES?

• A

• B

• C

• D

• E

 Two rectangles share a common side as shown. Determine whether each expression can be used to determine the total area, in meters, of the two combined rectangles. Which expressions are NO?

• A

• B

• C

• D

• E

Which value is in the set {4, 15, 25, 100} is a solution of 20 = x + 5?

• 4

• 15

• 25

• 100

Is 4 a solution of 5x = 9?

The number 4 ​ (a)   a solution of the equation. 

The left side of the equation, ​ (b)   , and the right side of the equation, ​ (c)   , have ​ (d)   .

• is not
• 5 x 4
• 9
• different values
• the same values
• is
• 5 + 4
• 20

Are 3 and 14 both solutions of the quotations 7x = 21?

• Only 3 is a solution because 7(3)=21.

• Only 14 is a solution because 7 + 14 = 21. 

• Both 3 and 14 are solutions because 7(3) = 21 and 7 + 14 = 21. 

• Neither 3 nor 14 is a solution because 73 ≠ 21 and 714 ≠ 21.