Students undo each operation to solve 12 one-step equations, then write and match equations for seven short stories.
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An Undo It table pairs each operation with its inverse, and two worked examples, t − 15 = 38 and −6g = 90, each end with a written check. The 12 practice equations, three per operation, include negative answers, the decimal 6.4 + y = 10 and the fraction coefficient in two-thirds c = 18. On page 2, students write and solve equations for four stories. In the matching set, every story and equation uses 6 and 240, so students have to read which operation each story describes.
Problem 9, two-thirds c = 18, is the one most often missed: students multiply 18 by two-thirds and get 12. The answer is 27; show that dividing by two-thirds means multiplying by three-halves, then check that two-thirds of 27 is 18.
Watch the signs in problems 2 and 11. The key's own tip names n = 14 for problem 2 (the answer is −14), and h ÷ (−3) = 9 often comes out as 27 instead of −27. Ask for each check written out in full, such as −27 ÷ (−3) = 9.
In story 14 the battery dropped to 58%, so it started higher: b − 27 = 58 gives 85%. Students who take 27 from 58 get 31; ask whether a battery that drops can end above where it started.
Ways to adjust the 12 equations and four stories.
Each one is checked against the official documents. Where the resource covers only part of a standard, the note says so.
Students solve one-step equations by doing the opposite operation and write and solve equations for four word problems (tacos, battery, seats, pizza). Several items use negative numbers, which go past this standard's limit of numbers that are zero or more.
In the check column, students put their answer back into the equation to show it makes the equation true. Inequalities are not covered.
Students choose a letter for the unknown and write an equation for each story, and match four equations to three stories. The idea that a variable can stand for any number in a set is not covered.
Students solve one-step equations using all four operations, including negative numbers, decimals and a fraction; inequalities are not covered.
Students write and solve an equation for four story problems and match equations to three more stories; inequalities are not covered.
Students check four answers by putting each back into its equation; inequalities are not covered.
No. The key accepts any equivalent equation with any letter for the unknown, so c ÷ 4 = 8.75 and 4 × 8.75 = c both count.
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