Equal Values Method Worksheet
Practice solving systems of equations using the equal values method for Grade 6 math students.
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Equal Values Method
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Read each problem carefully and use the equal values method to solve for the unknown variable. Show your work.
1. If two expressions are equal to the same variable, then they are to each other.
2. The equal values method is used to solve systems of .
3. When using the equal values method, we set the two expressions to each other.
Solve for x using the equal values method:
4. y = 3x - 5 y = 2x + 1
5. y = 5x + 10 y = 7x - 4
6. Which step is NOT part of the equal values method?
Set the expressions equal to each other
Solve for one variable
Graph the equations to find the intersection point
Substitute the value back into an original equation
7. The equal values method can only be used if both equations are solved for the same variable.
True
False
8. Sarah sells lemonade for $2 per cup and cookies for $1 per cookie. Her total sales for the day were $20. If she sold twice as many cups of lemonade as cookies, how many of each did she sell? Use the equal values method to solve.