Lesson 11: Practice Problems

Problem 1

A car dealership pays $8,350 for a car. They mark up the price by 17.4% to get the retail price. What is the retail price of the car at this dealership?

Problem 2

A store has a 20% off sale on pants. With this discount, the price of one pair of pants before tax is $15.20. What was the original price of the pants?

$3.04
$12.16
$18.24
$19.00

Problem 3

Lin is shopping for a couch with her dad and hears him ask the salesperson, “How much is your commission?” The salesperson says that her commission is $5 \frac{1}{2} %$ of the selling price.

How much commission will the salesperson earn by selling a couch for $495?
How much money will the store get from the sale of the couch?

Problem 4 From Unit 4 Lesson 9

A college student takes out a $7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet):

if the bank charges 3.8% interest each year?
if the bank charges 5.3% interest each year?

Problem 5 From Unit 4 Lesson 5

Match the situations with the equations.

Mai slept for $x$ hours, and Kiran slept for $\frac{1}{10}$ less than that.
Kiran practiced the piano for $x$ hours, and Mai practiced for $\frac{2}{5}$ less than that.
Mai drank $x$ oz of juice and Kiran drank $\frac{4}{3}$ more than that.
Kiran spent $x$ dollars and Mai spent $\frac{1}{4}$ less than that.
Mai ate $x$ grams of almonds and Kiran ate 1.5 times more than that.
Kiran collected $x$ pounds of recycling and Mai collected $\frac{3}{10}$ less than that.
Mai walked $x$ kilometers and Kiran walked $\frac{3}{8}$ more than that.
Kiran completed $x$ puzzles and Mai completed $\frac{3}{5}$ more than that.

$y = 2.33 x$
$y = 1.375 x$
$y = 0.6 x$
$y = 0.9 x$
$y = 0.75 x$
$y = 1.6 x$
$y = 0.7 x$
$y = 2.5 x$