5-1, 5-2, 5-3 Review

Which equation represents the situation shown in the bar diagram?

• n + 2 = 15

• 4n - 2 = 15

• 4(n + 2) = 15

• 4n + 2 = 15

Dylan bought 3 identical shirts online for a total cost of $71.83 including a flat rate of $7.99 for shipping. Write an equation that could be used to determine the cost of each shirt.

• 3x + 7.99 = 71.83

• 3(x + 7.99) = 71.83

• 3(71.83 + 7.99) = x

• 3x + 3(7.99) = 71.83

Solve the equation

3x + 7.99 = 71.83

x = _

(a)  

A group of students auditioned for a theater performance and 3/4 of the group less six students made up the cast of 42 students. Write an equation to represent the total number of students who auditioned, t.

The total number of students in the seventh grade is 9 more than 4 times as many students as are in the art class. There are 101 students in the seventh grade. Write an equation to find the number of students in the art class. Let x represent the number of students in the art class

• 101 + 9 = 4x

• 4(x + 9) = 101

• 4x + 9 = 101

• 4x - 9 = 101

Solve the equation

4x + 9 = 101

x = _

(a)  

Solve the equation -4(8 + y) = 90

y = _

(a)  

At the mall, Brenda buys a lamp that is 39% off and shoes that are reduced to $21.04. Brenda spends a total of $35.38. Let a represent the cost of the lamp. Which equation correctly represents the cost of Brenda's shopping trip?

• 0.39a - 21.04 = 35.38

• 0.61a + 21.04 = 35.38

• 0.39a + 21.04 = 35.38

• 0.61a - 21.04 = 35.38

Choose the equations that are equivalent.

Select all that apply.

• 52 = 8n + 4

• 4(2n + 1) = 52

• 4 = 52 - 8n

• 4n = 48