Wyoming Math 7.EE.4a
The Standard
Apply the concepts of linear equations and inequalities in one variable to real-world and mathematical situations. Write and fluently solve linear equations of the form ax +b = c and a(x + b) = c where a, b, and c are rational numbers.
2023 Wyoming Mathematics Content and Performance Standards · Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students write an equation with one unknown for a word problem or a number puzzle. They use inverse operations to solve it, even when the numbers are fractions or negatives.
What Mastery Looks Like
- A student can write an equation for a starting fee plus a cost per item, or for equal groups that each include an extra cost. They solve it and check the value in the original equation.
Common Misconceptions
- Students may treat 3(x + 2) as 3x + 2. They may also lose a negative sign when dividing or forget to apply an operation to both sides.
How to Assess It
- Exit ticket: A gym charges $4 to join and $2.50 per visit. You spent $19. Write an equation, find the number of visits, and check your answer.
Lesson moves
Ways to Teach It
Build 3(x + 2) = 15 with cups and counters on a balance mat; remove six counters, then split nine among three cups.
Partners solve 2(x + 3) = 14 and 2x + 3 = 14, then write why their answers differ.
Match equation cards for (1/2)(x + 4) = 5 and (3/4)x + 2 = 8 with solution cards 6 and 8; check by substitution.
Price three gift bags, each with a $2 card and a mug, at $30 total; students write an equation to find each mug's price.
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Printable 7.EE.4a Worksheet
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Related Standards
- 7.EE.4b
Write and solve multi-step linear equations that include the use of the Distributive Property and combining like terms. Exclude equations that contain variables...
- 8.EE.8c
Solve simple real-world and mathematical problems leading to two linear equations in two variables given y = mx + b form with integer solutions.
- 8.EE.7a
Solve linear equations and inequalities with rational number coefficients that include the use of the Distributive Property, combining like terms, and variable ...
- 6.EE.7
Write and solve real-world and mathematical problems in the form of one-step, linear equations involving non negative rational numbers.
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