Two-Step Equations With Negative Coefficients
Written by Adi Ackerman, Head Teacher
"Two-Step Equations With Negative Coefficients" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.EE.B.4.A. A 6th grader who is already steady on algebra can use it too, and an older student can use it as a short review.
7th grade math worksheet: solve two-step equations with a negative coefficient, such as −4x + 9 = 15 and −9x − 4 = −49. Answer key included. Part of our two-step equations algebra collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with Two-Step Equations With Integers, then choose the variation that matches the skill. Use the checkpoint at the end to see what students can do on their own, and have students record their number correct in the score box.
What students will practice
- Students will solve two-step equations in which the variable has a negative coefficient.
- Students will divide both sides by a negative number and keep track of the sign.
- Students will write fraction answers in simplest form.
Expand Linear Expressions With Negative Factors
Expand With Fractional and Decimal Coefficients
Expand and Then Combine Like Terms
Factor Out the GCF From Linear Expressions
Factor Linear Expressions With Fraction Results
Factor Linear Expressions With Three Terms
Expand or Factor, Decide Which
Factor Using Area Models, Integer Terms
Curriculum Links
Common Core State Standards
Expressions and Equations · 7th Grade
Standard: Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
View all 7.EE.B.4.A worksheets →Find this in the curriculum
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FAQ
How do I use this two-step equations worksheet?
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Start with Two-Step Equations With Integers, then choose the variation that matches the skill. Use the checkpoint at the end to see what students can do on their own, and have students record their number correct in the score box.
What does this worksheet teach?
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Solve two-step equations with a negative coefficient, such as −4x + 9 = 15 and −9x − 4 = −49. The directions on the page read: Solve for x and show your work. Write any fraction answer in simplest form. An answer key is included.
Can I use this two-step equations worksheet for homeschool or classroom?
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Yes, both. We made it for 7th grade algebra, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How do you solve a two-step equation?
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Undo the addition or subtraction first, then undo the multiplication or division. For 3x + 5 = −16, subtract 5 to get 3x = −21 and divide by 3 to get x = −7. Two-Step Equations With Integers has students substitute x to check the answer.
How do you solve a two-step equation with a negative coefficient?
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Divide both sides by the negative number, and keep the sign on the answer. For −4x + 9 = 15, subtract 9 to get −4x = 6, so x = −3/2. Two-Step Equations With Negative Coefficients has at least 10 of these, and fraction answers go in simplest form.
Should you distribute first or divide first?
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Either path works, and the easier one depends on the numbers. In 7(x − 3) = 56, dividing by 7 first is easier. Distribute First or Divide First in Equations has students pick a path, solve and explain why it was easier.
How do you write an equation from a word problem?
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Name the unknown, then match the fixed amount and the amount that repeats. A $12 launch fee plus $8 per hour for h hours, with $52 paid in all, gives 8h + 12 = 52. Write and Solve Two-Step Equations practices this with units on each answer.
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Expand Linear Expressions With Negative Factors
Expand With Fractional and Decimal Coefficients
Expand and Then Combine Like Terms
Factor Out the GCF From Linear Expressions
Factor Linear Expressions With Fraction Results
Factor Linear Expressions With Three Terms
Expand or Factor, Decide Which
Factor Using Area Models, Integer Terms