Solving Two-Step Equations
Grade 7 · Math · Expressions and Equations · Pennsylvania, USA
Lesson Summary
Solve equations that require two operations to isolate the variable.
Explanation
A two-step equation like 2x + 5 = 13 requires two inverse operations to solve. First undo addition or subtraction, then undo multiplication or division. In this example, subtract 5 from both sides to get 2x = 8, then divide both sides by 2 to get x = 4. Always perform the same operation on both sides to keep the equation balanced.
Practice Questions
Q1: Solve: 3x − 7 = 14.
Answer: Add 7 to both sides: 3x = 21. Divide by 3: x = 7.
Q2: Solve: x/4 + 6 = 10.
Answer: Subtract 6: x/4 = 4. Multiply by 4: x = 16.
Q3: Solve: −2y + 9 = 1.
Answer: Subtract 9: −2y = −8. Divide by −2: y = 4.
People Also Ask
What is Solving Two-Step Equations in Grade 7 Math?+
Solving Two-Step Equations is a lesson in the Expressions and Equations chapter of Grade 7 Math. It is part of the Pennsylvania, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Solving Two-Step Equations?+
Solving Two-Step Equations is taught in Grade 7 as part of the Math curriculum in Pennsylvania, USA.
How can I help my child with Expressions and Equations in Math?+
Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Expressions and Equations topics.