Equal Values Method Worksheet
Grade 12 Math worksheet on solving systems of linear equations using the Equal Values Method, including multiple choice, fill-in-the-blanks, and short answer questions.
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Equal Values Method Worksheet
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Read each question carefully and follow the instructions to solve the problems using the Equal Values Method. Show all your work.
1. Which of the following systems of equations is best suited for the Equal Values Method?
y = 3x + 5 2x + y = 10
x + y = 7 x - y = 3
y = 4x - 2 y = -x + 8
3x + 2y = 12 5x - 2y = 4
2. When using the Equal Values Method, what is the first step if neither equation is solved for the same variable?
Graph both equations.
Add the two equations together.
Solve one equation for a variable.
Multiply one equation by a constant.
3. The Equal Values Method is used to solve systems of equations.
4. When both equations are set equal to the same variable, we can then set the of the equations equal to each other.
5. After finding the value of one variable, substitute it back into of the original equations to find the other variable.
6. Solve the following system of equations using the Equal Values Method. Show all steps.
y = 2x + 1
y = -x + 7
7. Solve the following system of equations using the Equal Values Method. Show all steps.
3x + y = 10
y - x = 2
8. The Equal Values Method is only applicable to systems of equations where both equations are already solved for 'y'.
True
False
9. If the Equal Values Method results in a true statement (e.g., 5 = 5), the system has no solution.
True
False
10. A store sells two types of coffee beans: Arabica and Robusta. Arabica beans cost $12 per pound, and Robusta beans cost $8 per pound. If a customer buys a total of 10 pounds of coffee for $100, how many pounds of each type of bean did they buy? Use the Equal Values Method to solve this problem.