Algebraic Modeling Worksheet
This worksheet helps 7th-grade students practice algebraic modeling by translating word problems into algebraic expressions and equations.
Includes
Standards
Topics
Algebraic Modeling Practice
Name:
Date:
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Read each problem carefully and follow the instructions to write algebraic expressions or equations. Show all your work.
1. Write an algebraic expression for "five less than twice a number x":
2. Write an algebraic expression for "the sum of a number y and seven, divided by three":
3. Write an algebraic expression for "the product of eight and a number z, increased by ten":
1. A number increased by 15 is 37. Write an equation and solve for the number.
2. Three times a number, decreased by 9, is 21. Write an equation and solve for the number.
1. Which equation models the statement: "The perimeter of a rectangle is 48 cm. The length is 3 cm more than twice the width (w)."
2w + 3 = 48
2(w + 2w + 3) = 48
w + (2w + 3) = 48
2w + 2(2w + 3) = 48
1. The phrase "is less than" always translates to the subtraction symbol (-).
True
False
1. Sarah bought 3 notebooks and 2 pens. Each notebook costs $x and each pen costs $y. If she spent a total of $10, write an equation that represents this situation.
2. A taxi charges a flat fee of $2.50 plus $1.50 per mile (m). If a ride cost $13.00, write an equation to find the number of miles traveled.