Grade 7 Multi-step Fraction Equations Worksheet
Practice solving multi-step equations involving fractions with this comprehensive worksheet for 7th graders.
Includes
Standards
Topics
Multi-step Fraction Equations
Name:
Date:
Score:
Solve each equation for the variable. Show your work.
1. Solve for x: (1/2)x + 3 = 7
2. Solve for y: (2/3)y - 5 = 1
3. Solve for z: (3/4)z + (1/2) = 2
4. To isolate a variable in an equation with fractions, you can first the constant term from both sides.
5. When multiplying a fraction by a whole number, you multiply the whole number by the of the fraction.
6. Which operation would you perform first to solve the equation (1/4)a - 2 = 6?
Multiply by 4
Subtract 2
Add 2
Divide by 4
7. What is the value of 'b' in the equation (5/6)b + 1/3 = 1?
2/5
4/5
1
6/5
8. To solve 2x + (1/3) = 1, you should first multiply both sides by 3.
True
False
9. The reciprocal of 3/5 is 5/3.
True
False
10. Sarah spent (1/4) of her money on a book and $10 on a new pen. If she has $15 left, how much money did she start with?
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.