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Lesson: Using Systems of Equations to Solve Problems

Many real-life situations can be modeled with equations. In this lesson, learn how to translate a real-life problem into a system of equations and to find its solution(s).

Worksheet: Using Systems of Equations to Solve Problems • 17 Questions

Q1:

A man’s age is 4 times his son’s age. In five years, the sum of their ages will be 105. How old are they now?

A19 years, 76 years
B21 years, 84 years
C23 years, 60 years
D25 years, 43 years
E20 years, 62 years

Q2:

Two cousins were born 8 years apart. How old will the elder be when the sum of their ages is equal to 20 years?

A 14 years
B 16 years
C 12 years
D 8 years
E 6 years

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