The Tools of Algebra
Operations with Integers
Word Problems
Expressions with Equations
Multi-Step Equations
100
Name the property shown by the statement: (2 x 3) x 5 = 2 x (3 x 5)
What is the Associative Property (of Multiplication)?
100
Find the sum of 13 +(-2)+(-9)
What is 2?
100
You are making a beanbag footstool in the same of a cube with an edge length of 50 cm. What is the VOLUME of the footstool?
What is 125,000 cubic cm
100
The Stuart family has 5 members. They each purchase a soda at $2.50 each and a hotdog at $3.50 each. Find the total cost of the food.
What is $30;
100
If the area of a square is 361 square feet, what is the measurement of one side?
What is 19 feet?
200
Evaluate the expression: 15 + 7 x 9
What is 78?
200
Find the product of 2(-3)(10).
What is -60?
200
A liter of water weighs approximately 2.2 pounds. While backpacking, Enrique wants to carry 3.5 liters of water with him. Find the weight of the water that Enrique is taking with him.
What is 7.7 pounds?
200
Karen made 5 less than 4 times the number of free throws that Kimi made. Write an expression in simplest form that represents the total number of free throws.
What is 4x-5?
200
Find the area of a rectangle if the perimeter is 96 meters and the length is 36 meters.
What is 432 square meters?
300
Translate the phrase "the number of books increased by thirteen" into an algebraic expression.
What is b+13?
300
Evaluate the expression if a = -3, b = 6, and c = -9. (ab)/c -6
What is -4?
300
Pilar drinks 1.75 glasses of milk each day. At this rate, how many days will it take her to drink a total of 14 glasses?
What is 8 days?
300
Starting with a full tank of gas, your family's car is driven 420 miles and then refueled. It takes 12 gallons of gas to fill the car's tank. How many miles per gallon did the car get?
What is 35 miles per gallon
300
Solve the equation: 0.4x = 2x +1.2
What is x = -0.75?
400
Simplify the expression: (17 + m) + 31
What is 48 + m?
400
An airplane descends 500 feet each minute when beginning to land. Write an expression to find how many minutes an airplane has been descending if it has descended x feet.
What is x/500?
400
You buy 10 apples that weigh a total of 4 lbs for $3.92. How much would 6 lbs of apples cost?
What is $5.88?
400
You use an ATM to deposit a check for $122.94 into your savings account. Your receipt from the ATM show a balance of $286.59 after the deposit. Find the balance of your savings account before the deposit.
What is $163.65
400
You're taking a group of friends to karaoke. You have to pay $30 to reserve the room plus $5 per person. You also want to have snacks at a cost of $2 per person. How many people can come if your budget is $70?
5 people
500
Identify the domain and range of the relation: {(1, 3), (2, 7), (4, 13), (5, 15)}
What is domain: {1, 2, 4, 5} and range: {3, 7, 13, 15}?
500
Suppose Eleanor's home represents the origin on a coordinate plane. If Eleanor leaves her home and walks two miles west and then four miles north, what is the location of her destination as an ordered pair?
What is (-2, 4)?
500
On July 1, 2001, a PA weather station detected an average of 80 lightning strikes per minute over a 24 hour period. Find the total number of lightning strikes detected during that time.
What is 115,200 lightning strikes
500
Translate the sentence into an equation. Then find the number. Six less than twice a number is -22. (You need to have an equation and the answer to be correct!)
What is 2n-6 = -22 and n= -8?
500
Find the dimensions of a rectangle with the largest area if the perimeter of the rectangle is 40 feet. (Length and width)
What is length = 10 feet and width = 10 feet?