Final Review: Word Problems

Two types of memberships are available for a water park.

1. An unlimited use membership for $70 per month

2. A monthly $10 fee plus $5.00 per visit

Which equation represents find the number of visits, v, per month needed for the two membership types to cost the same amount?

• 10v + 5 = 70v

• 10 + 5v = 70v

• 10 + 5v = 70

• 10v + 5 = 70

Two types of memberships are available for a water park.

1. An unlimited use membership for $70 per month

2. A monthly $10 fee plus $5.00 per visit

Find the number of visits, v, per month needed for the two membership types to cost the same amount.

• 10 visits

• 12 visits

• 14 visits

• 16 visits

Target was having a NO-TAX sale on DVDs and other select electronics. Donovin found a bin labeled “DVDs—$2.50 each!” and decided to buy a bunch of his favorite movies from this bin. Donovin also decided to buy a DVD player for $49.99. If his total came out to be $67.49, which equation could be used to find out how many DVDs, d, he bought?

• 2.50d + 67.49 = 49.99

• 2.50 + 49.99d = 67.49d

• 2.50 = 67.49d - 49.99d

• 2.50d + 49.99 = 67.49

Target was having a NO-TAX sale on DVDs and other select electronics. Donovin found a bin labeled “DVDs—$2.50 each!” and decided to buy a bunch of his favorite movies from this bin. Donovin also decided to buy a DVD player for $49.99. If his total came out to be $67.49, how many DVDs did he buy?

• 5

• 7

• 9

• 15

Two phone companies offer different pay-as-you-go plans (data sold separately):

1: $0.05 per minute talking plus $20 per month for unlimited texting.

2. $0.10 per minute talking plus $12 per month for unlimited texting.

If you plan on choosing one of these plans for one month while you study abroad, what variable might you define?

• m = the number of months

• d = how much data you will use

• t = number of texts you will send

• m = number of minutes you will talk

Two phone companies offer different pay-as-you-go plans (data sold separately):

1: $0.05 per minute talking plus $20 per month for unlimited texting.

2. $0.10 per minute talking plus $12 per month for unlimited texting.

Which equation represents the number of minutes, m, you would have to talk for the two plans to cost the same amount?

• 0.05m + 20 = 0.10m + 12

• 0.05 + 20m = 0.10m + 12m

• 0.05m + 0.10m = 20 + 12

• 0.05m - 20 = 0.10m - 12

To solve the equation below, what order of inverse operations would you use?

 $3x\ -\ 7\ =\ 26$  

• multiplication, then addition

• addition, then multiplication

• addition, then division

• division, then addition

Which represents the solution to this equation?

 $3x\ -\ 7\ =\ 26$  

•  $x=11$  
  

•  $x=\frac{19}{3}$  
  

•  $x=30$  
  

•  $x=57$  
  

To solve the equation below, what order of inverse operations would you use?

 $\frac{x+12}{3}\ =-2$  

• multiplication, then addition
  

• subtraction, then division

• subtraction, then addition

• multiplication, then subtraction

Which represents the solution to this equation?

 $\frac{x+12}{3}\ =\ -2$  

•  $x=-11$  
  

•  $x=-18$  
  

•  $x=-42$  
  

•  $x=-6$