Multi-Step Equations
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Multi-Step Equations
Multi-step equations worksheet: eight equations with parentheses, such as 2(x + 2) − 40 = −5(x − 4), to expand, collect and solve. Grade 8 math, with room to work and an answer key.
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Teach it first
Equations with ParenthesesA teaching handout to hand out before this sheet: the rule, worked examples and common mistakes.- Pages
- 1
- Last updated
- Time
- About 25 minutes
- Answer key
- Included
- Printing
- Black and white
- Related curriculum
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Solve two-step equations such as 3x + 4 = 19, then equations such as 3(x − 2) = 2x + 5 by multiplying out the parentheses, collecting like terms and doing the same thing to both sides, and tell when an equation has one solution, none or infinitely many.
Reviewed by Mr. Robert Harrison, Teacher. How we check worksheets
How to use this sheet
- Have the child simplify each side first: distribute and combine like terms.
- Get the variable on one side, then the numbers on the other, one step per line.
- Check every answer by putting it into the original equation, both sides.
Common mistakes
- Moving a term to the other side without changing its sign. Do the same operation to both sides instead of "moving".
- Distributing a negative to the first term only, so −2(x − 3) becomes −2x − 3.
- Saying "no solution" when the variables cancel and a true statement is left, such as 4 = 4. That means infinitely many solutions.
