Systems of Equations Worksheet
Practice solving systems of linear equations using various methods for 7th grade math.
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Systems of Equations Practice
Name:
Date:
Score:
Read each question carefully and follow the instructions to solve the systems of equations. Show all your work.
1. Graph the following system of equations and find the solution:
y = 2x - 3
y = -x + 3
Solution: ( , )
2. Solve the following system of equations using the substitution method:
x + 2y = 7
x = y + 1
Substitute the second equation into the first:
Solve for y: y =
Substitute y back into either equation to find x: x =
Solution: ( , )
3. Which of the following steps would be the best first step to solve the system below using the elimination method?
3x + y = 10
x - y = 2
Multiply the second equation by 3.
Add the two equations together.
Subtract the second equation from the first.
Substitute y = 10 - 3x into the second equation.
4. The sum of two numbers is 15. Their difference is 3. Set up a system of equations and solve to find the two numbers.
Let x be the first number and y be the second number.
Equation 1:
Equation 2:
The two numbers are and .
5. A system of equations can have exactly two solutions.
True
False
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