Grade 6 Algebraic Modeling Worksheet
This worksheet helps sixth-grade students practice algebraic modeling by translating word problems into expressions and equations, identifying variables, and solving for unknowns.
Includes
Standards
Topics
Grade 6 Algebraic Modeling
Name:
Date:
Score:
Read each problem carefully and follow the instructions to write algebraic expressions or equations. Show your work where applicable.
1. Write an algebraic expression for each phrase:
a) The sum of a number and 7
b) 5 less than a number
c) The product of 3 and a number
d) A number divided by 4
2. In the following scenarios, identify the unknown quantity and represent it with a variable.
a) Sarah has some apples, and she buys 5 more. How many apples does she have now?
Unknown quantity:
Variable:
b) A car travels at a certain speed for 3 hours. How far did the car travel?
Unknown quantity:
Variable:
3. Choose the equation that best represents the word problem.
The total cost of a book and a pen is $15. If the book costs $10, what is the cost of the pen (p)?
10 + 15 = p
10 - p = 15
10 + p = 15
15p = 10
4. Write an equation for each problem and then solve it.
a) Mark had some marbles. He gave 8 marbles to his friend and now has 12 marbles left. How many marbles did Mark have to begin with?
Equation:
Solution:
b) A recipe calls for 2 cups of flour for every batch of cookies. If you want to make 3 batches of cookies, how much flour (f) do you need?
Equation:
Solution:
5. Determine if the following statements are true or false.
a) The expression 'x + 5' means 'x is multiplied by 5'.
True
False
b) If 'y - 3 = 7', then 'y = 10'.
True
False