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Differentiated Algebra Problem Solving
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Differentiated Algebra Problem Solving
Answer each question. Show your steps when asked, and use a variable to represent an unknown number.
Expressions and Equations
Use variables to describe unknown values and solve equations using inverse operations.
1.Write an algebraic expression for a number k increased by 9.
2.Solve the equation y + 14 = 38. Show the operation you use to isolate y.
3.If 4m − 6 = 30, what is the value of 3m + 2?
4.A number is reduced by 11, and the result is 20. Which equation represents the situation?
- n + 11 = 20
- n − 11 = 20
- 11 − n = 20
- 11n = 20
Algebra in Everyday Situations
Build equations from the information in each situation, then solve them.
5.Caleb buys 4 folders for $3 each and some markers for $2 each. The total is $22. Let f be the number of markers. Write an equation and find f.
6.At a school performance, 120 tickets were sold. Adult tickets cost $15 and student tickets cost $9. The ticket sales totaled $1,440. How many adult tickets and student tickets were sold? Define a variable and show your equation.
7.The temperature conversion rule is F = (9/5)C + 32, where C is degrees Celsius and F is degrees Fahrenheit. Use the rule to convert 20°C to Fahrenheit. Show your substitution and calculation.
8.Describe one useful strategy for solving an equation such as 5x + 3 = 28. Give the value of x as part of your example.
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