Algebraic Equations
Unit Rate
Percent Change
Scale /Proportions\ Similar Triangles
Inequalities
Word Problems
Integers
100
What is the solution to the equation?
-12x + 10x + 8 = -20
x=14
100
Diego works 15 hours per week at a job
that pays $8.40 per hour.
His weekly salary is _______
If he saves 1/5 of his pay each week, he will
have ____ left to spend.
weekly salary is $126.00
Left to spend $100.80
100
A new stove cost $450 is on sale for 40% off. What is the sales price for the new stove?
$270 sales price
100
A model of the building uses a scale in which ¼ inch represents 10 feet. The model has a height of 12 inches. What is the height of the building in feet?
x=480 ft
100
The ratio of cats to dogs at the shelter is 15
to 5. There are 75dogs at the shelter. What
is the total number of animals?
300
100
Mark has a collection of books represented by x. His friend Ben has 4 times as many books as Mark. Together, they have 400 books total. What is x, the number of books Mark has?
x=80
100
Solve the following equation:
-6x + 2x + 4 = -16
x= 5
200
Carlos has a $40 gift card for music
downloads. Each song costs $2.50. He has a
coupon for $4 off his purchase. Which
equation can be used to find x, the maximum
number of songs Carlos can purchase?
40= 2.50x-4
200
Alexis paid $84.00 for 12 movie tickets. Each ticket cost the same amount. What was the cost of each ticket in dollars and cents?
$7.00 per ticket
200
The price of a gallon of gas was $1.50 but the price increased by 300% By how many dollars has the price of gas increased?
x=$450
200
The ratio of cats to dogs at the shelter is 4 to 5. There are 32 cats at the shelter. What is the total number of animals?
72 total
200
An elevator can safely carry a maximum of 2,000 pounds. A group of people weighing 800 pounds total gets in. Additional suitcases weighing 40 pounds each will also be brought in.
Write an inequality that represents all possible values of x, the number of suitcases that can be loaded into the elevator?
800 + 40x ≤ 2000
200
Samantha gave the cashier $30 to buy 6 movie tickets. She received $4 in change. Each ticket cost
the same amount. How much is each ticket and does Karla have enough to buy a 6 ticket?
Each ticket cost ______________. Samantha ______________ enough money to buy a 5 ticket.
$ 4.33 each ticket.
She has enough money
200
What is the value of the expression
-6 * 4.5?
-27
300
Joe has a collection of books
represented by x. His friend Ben has 8 times
as many books as Joe. Together, they have
1500 books total. What is x, the number of
books Joe has.
x=166 or 167
300
Maria paid $210.00 for 20 basketball tickets. Each
ticket cost the same amount. What was the
cost of each ticket in dollars and cents?
$10.50
300
3) The price of a jacket was reduced from
$125 to $85. By what percentage was the
price of the jacket reduced.
x=32 %
300
Jesse ran 3 miles in 30 minutes. At this rate, how long would it take her to run 15 miles?
150 minutes
300
Determine whether each question is true or not true when p = 12.
Equation True
1.3p + 2 = 48
2. 2p + 7 = 91
3. 6p - 8 =64
4. 5p - 6 = 54
1. true
2. false
3.true
4. true
300
Katy went shopping and purchased 1 pair of slides, 2 pairs of joggers, and a T-shirt. The sales tax for this purchase was $8.30. She paid for her purchase with a $100 bill.
How much change should Katy receive from the $100 bill?
$9.73
300
Solve the following equation:
2x - 5 + 3x = 10
x=3
400
There are 100 different pets at the pet store.
¼ of the pets are mice.
½ of the pets are fish.
⅕ of the pets are lizards.
The remaining pets are iguanas.
How many pets are iguanas?
5
400
A train traveled 64 miles in 5 hours. At this
rate, how many miles will the train travel in 9
hours?
115.2 miles
400
Vince changed the amount of time he lifts weights from 40 minus to 30 minutes. By what percentage did Vince decrease the amount of time he lifts weights?
25%
400
Katy drove 250 miles in 4 hours. At this rate, how many miles will she drive in 3 hours?
187.5 miles
400
-12x+5<29
x=-2
400
Kristy bought 3 new makeup pallets for her sister.
• Each makeup pallet is $67.85.
• The shipping fee was $20.75.
What is the total Kristy paid for her purchase?
$224.30
400
What is the solution to the equation?
x + 3x - 8 = -24
x= -4
500
What is the solution set to this inequality?
-4x + 8x - 10 ≤ -2
500
Which situation can be represented by this inequality?
200 > 15k + 40
A) A movie theater charges $15 per ticket plus a $40 booking fee. The total must be less than $200
B) A car rental charges $15 per day and $40 for gas. The total must be no more than $200
C) A music store sells albums for $15 each and charges a $40 membership fee. The total must be
at least $200
D) A class trip costs $15 per student plus $40 for supplies. The total must be less than $200
A) A movie theater charges $15 per ticket plus a $40 booking fee. The total must be less than $200
500
A company increased its workforce from 150 employees to 182 employees. By what
percentage did the workforce increase?
21.3%
500
A recipe for fruit salad includes ⅓ cup of grapes for 4 servings. How many cups of grapes are needed for 42 servings of this fruit salad?
5 1/4 or 5.25
500
What is the solution set to this inequality?
2x - 6x + 18 > 38
x <-5
500
A heater is being sold at 2 stores for the price of $100.
• Store X is offering 40% off the price of the heater.
• Store Y is offering a ⅗ discount off the price of the heater.
What is the sale price for the heater at both stores?
The sale price of the heater from Store X is
The sale price of the heater from Store Y is
Store x = $60
Store Y = $40
500
-40x - 10x + 300 < 150
x<3