Solving Multi-Step Equations
Grade 8 · Math · Linear Equations · Wisconsin, USA
Lesson Summary
Handle equations with variables on both sides and parentheses.
Explanation
Multi-step equations might have variables on both sides of the equals sign or include parentheses. Start by distributing if there are parentheses, then combine like terms on each side. Next, move all the variable terms to one side and the constants to the other. Finally, solve for the variable using inverse operations. These problems just stack up the same skills you already know.
Practice Questions
Q1: Solve for x: 2(x + 3) = 16
Answer: x = 5. Distribute to get 2x + 6 = 16, subtract 6 to get 2x = 10, then divide by 2 to get x = 5.
Q2: Solve for x: 5x + 2 = 3x + 10
Answer: x = 4. Subtract 3x from both sides to get 2x + 2 = 10, subtract 2 to get 2x = 8, then divide by 2.
Q3: Solve for n: 3(n − 4) = n + 2
Answer: n = 7. Distribute to get 3n − 12 = n + 2, subtract n to get 2n − 12 = 2, add 12 to get 2n = 14, then divide by 2.
People Also Ask
What is Solving Multi-Step Equations in Grade 8 Math?+
Solving Multi-Step Equations is a lesson in the Linear Equations chapter of Grade 8 Math. It is part of the Wisconsin, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Solving Multi-Step Equations?+
Solving Multi-Step Equations is taught in Grade 8 as part of the Math curriculum in Wisconsin, USA.
How can I help my child with Linear 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 Linear Equations topics.