Name: ________________________ Date: ______________ Period:______
Solving Equations in Multiple choice Problems (12 Points)
1. (Keystone) A person’s hair is 8 centimeters long. The equation below can be used to estimate the length
(L), in centimeters (cm), that a person’s hair will be after w weeks.
𝑤
+8
4
Based on the equation, what will be the estimated length of the person’s hair after 10 weeks?
(SHOW YOUR WORK!)
A) 4.5 cm
B) 8 cm
C) 10 cm
D) 10.5 cm
𝐿=
2. (Keystone) Ms. Bernard monitored the growth of a fish. The fish originally weighed 27 ounces. The fish
grew at a rate of 5 ounces per month. The equation below can be used to describe the weight, in ounces,
of the fish.
72 = 27 + 5𝑥
Ms. Bernard correctly determined that 𝑥 = 9. What does the solution of the equation mean?
A) The fish grew at a rate of 9 ounces per month for 72 months.
B) The fish grew at a rate of 72 ounces per month for 9 months.
C) It took 9 months for the fish to grow to a weight of 72 ounces.
D) It took 72 months for the fish to grow to a weight of 9 ounces.
Explain your reason for choosing your answer. Be sure to identify what the variable represents.
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3. (PSAT) A high school basketball team won exactly 65 percent of the games it played during last season.
Which of the following could be the total number of games the team played last season? (SHOW YOUR
WORK!)
A) 22
B) 20
C) 18
D) 14
4. (PSAT) A babysitter earns $8 an hour for babysitting 2 children and an additional $3 tip when both
children are put to bed on time. If the babysitter gets the children to bed on time, what expression could
be used to determine how much the babysitter earned?
A) 8 𝑥 + 3 , where 𝑥 is the number of hours
B) 3 𝑥 + 8𝑥 , where 𝑥 is the number of hours
C) 𝑥(8 + 2) + 3, where 𝑥 is the number of children
D) 3𝑥 + (8 + 2) , where 𝑥 is the number of children
Explain your reason for choosing your answer.
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5. (PSAT) In a certain game, a player can solve easy or hard puzzles. A player earns 30 points for solving an
easy puzzle and 60 points for solving a hard puzzle. Tina solved a total of 50 puzzles playing this game,
earning 1,950 points in all. How many hard puzzles did Tina solve? (SOLVE BY WRITING AN EQUATION.
SHOW YOUR WORK!)
A) 10
B) 15
C) 25
D) 35
6. (PSAT) A soda company is filling bottles of soda from a tank that contains 500 gallons of soda. At most,
how many 20-ounce bottles can be filled from the tank? (SOLVE BY WRITING AN EQUATION. SHOW YOUR
WORK!)
(1 gallon = 128 ounces)
A) 25
B) 78
C) 2,560
D) 3,200