Systems of Equations Worksheet
Practice solving systems of linear equations using various methods for 7th grade math.
Includes
Standards
Topics
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
Related Worksheets
Solving Three-Step Equations
A Grade 7 math worksheet focused on solving linear equations requiring three steps, including combining like terms, distribution, and inverse operations.
Parts of an Expression Worksheet
Identify and understand the different parts of algebraic expressions including terms, coefficients, variables, and constants.
Properties of Equality Worksheet
Explore and apply the fundamental properties of equality to solve algebraic equations.
Rearranging Equations Worksheet
Practice rearranging linear equations to solve for different variables, suitable for Grade 7 math students.
Factoring Expressions Worksheet
A Grade 7 math worksheet focusing on factoring algebraic expressions, including finding common factors and factoring simple quadratics.
Exploring Intercepts
A Grade 7 math worksheet focusing on understanding x-intercepts and y-intercepts on a coordinate plane.
Naming Polynomials Worksheet
A Grade 7 math worksheet focusing on identifying and classifying polynomials by degree and number of terms.
Translating Sentences into Equations
Practice translating word problems and verbal statements into algebraic equations.