Evaluate Expressions
Simplify Expressions
Factor Expressions
Write Expressions
Volume of Rectangular Prisms
100
Write the phrase as an expression:
4 less than a number w
Evaluate the expression for w = 20
What is w - 4; 16?
100
Simplify the expression. Explain each step.
1/3*m*3
What is m?
Explanations should include the Commutative Property of Multiplication and the Multiplication Property of One.
100
Use GCF to factor the numerical expression.
16 + 40
What is 8(2 + 5)?
100
A car travels 25 miles on one gallon of gas.
Write an algebraic expression to find the distance the car can travel using g gallons of gas.
The car uses 10 gallons of gas. How many miles does it travel?
What is 25g: 250 miles?
100
What is the volume of the package shown below?
What is 480 in3?
200
Write the phrase as an expression:
seven more than five times a number x
Evaluate the expression for x = 8
What is 5x + 7; 47?
200
Simplify the expression. Explain each step.
2 + (m + 5) + 0
What is m + 7?
Explanations vary but should involve the Commutaive Property of Additon, the Associative Property of Additon, and the Addition Property of Zero.
200
Use the GCF to factor the expression.
14x + 63
What is 7(2x + 9)?
200
To find the sales tax on an item, divide the price of the item by 20.
Write an algebraic expression to find the sales tax on an item that costs d dollars.
Find the sales tax on a television that costs $800.
What is d/20 ; $40.
200
Find the volume of the prism.
What is 3/8 yd3?
300
Write the phrase as an expression:
The product of six and the sum of a number x and 3
Evaluate the Expression for x=6
What is 6(x+3); 54?
300
Simplify the expression. Explain each step.
(3x)(4)(5y)
What is 60xy?
Explanations vary but should include the Associative Property of Multiplication and the Commutative Property of Multiplication.
300
Factor the expression using the GCF:
9b + 45
What is 9(b + 5)?
300
Your school rents a dunking booth for a carnival. The company charges $55 to rent the booth plus $20 for each hour of rental.
Write an expression for the cost of renting the dunking booth for h hours.
Use your expression to find the cost for 6 hours.
What is 55 + 20h; $175?
300
Find the volume of the prism:
What is 21/2 or 10 1/2 ft3?
400
The expression m ÷ 4 is the distance each person runs in a relay race that is m miles. How far does each person run in a relay race that is 12 miles?
What is 3 miles?
400
Simplify the expression. Explain each step.
2(3 + d - 1)
What is 2d + 4?
Explanations vary but should include the Commutative Property of Addition and the Distributive Property.
400
Factor the expression using the GCF:
27k - 6
What is 3(9k - 2)?
400
You and three friends go to a baseball game. You each pay $2 for a drink and x dollars for nachos.
Use the Distributive Property to write and simplify an expression for the total the group pays.
How much does the group pay when the nachos cost $3?
What is 3(2 + x) = 6 + 3x; $15?
400
Find the height of the prism.
What is 7 in?
500
The expression 18h + 100p represents the amount (in dollars) that an insurance salesperson earns for working h hours and selling p policies.
How much does the salesperson earn for working 10 hours and selling 3 policies?
What is $480?
500
Simplify the expression. Explain each step.
5(2k + 4) + (8 + k)
What is 11k + 28?
Explanations vary but should include the Distributive Property, the Associative Property of Addition, and the Commutative Property of Addition.
500
Factor the expression using the GCF:
5x + 60y
What is 5(x + 12y)?
500
Sheryl earns money for college by walking dogs and by mowing lawns. She earns $3 for each dog she walks and $25 for each lawn she mows.
Write an expression to determine the amount of money, in dollars, Sheryl earns from walking w dogs and mowing m lawns.
How much will she make if she walks 15 dogs and mows 10 lawns?
What is 3w + 25m; $295?
500
A raised gardening bed contains 84 cubic feet of dirt. The bed is 3 feet wide and 7 feet long. How deep is the dirt?
What is 4 ft?