System of Equations Word Problems

Solve real-world problems using systems of linear equations.

Grade 11 Math AlgebraSystem of Equations Word Problems

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.3CCSS.MATH.CONTENT.HSA.REI.C.6

Topics

AlgebraSystem of EquationsWord ProblemsGrade 11

7 sections · Free to use · Printable

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System of Equations Word Problems

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Read each word problem carefully. Set up a system of two linear equations with two variables, then solve the system using substitution, elimination, or graphing. Show all your work.

1. The sum of two numbers is 50. Their difference is 10. What are the two numbers?

2. A cinema sold 500 tickets for a total of $4100. Adult tickets cost $10 and child tickets cost $7. How many adult tickets and child tickets were sold?

3. When solving a system of equations by substitution, you first solve one equation for one , then substitute that expression into the other equation.

4. If a system of equations has no solution, the lines are and will never intersect.

5. Which method is generally most efficient for solving a system of equations where one variable can be easily isolated?

Graphing

Substitution

Elimination

Matrix method

6. A farmer has chickens and cows. If there are 30 heads and 84 legs, how many chickens and how many cows does the farmer have?

7. You are selling tickets for a school play. Student tickets cost $5 and adult tickets cost $8. You sell a total of 150 tickets and collect $960. How many of each type of ticket did you sell?

8. When graphing a system of equations, the solution is the point where the lines intersect.

True

False

9. A system of equations with parallel lines has infinitely many solutions.

True

False