Students solve 16 two-step equations, including ones with the variable divided by a number, match six to solutions, and write three story equations.
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Students solve two-step equations, following a worked example of −3x + 8 = 23 that undoes the adding, undoes the multiplying, then puts −5 back in to check. Answers include negative numbers. On page 2 they match solutions from a list, then write and solve equations for a phone plan, a bike rental and weekly saving. For every item, the key shows the one-step equation left after the first move, so students can see where a slip happened, and it adds a three-question exit ticket.
In item 7, x ÷ 4 + 6 = 13, students who multiply only the 13 by 4 write x + 6 = 52 and get 46; the answer is 28. Have them subtract 6 first, as the key's teacher tip says for items 7 to 9.
Items 6 and 15 put the number first, as in 19 − 3m = 40. Students often drop the minus in front of 3m and get m = 7 instead of −7; have them rewrite it as −3m + 19 = 40 before starting.
In story 18 the hourly rate is 11 and the helmet is a one-off 7. Students who swap them write 7h + 11 = 51, which gives no whole number of hours; treat that as a signal to reread which amount repeats.
Ways to adjust the 16 equations and three stories.
Each one is checked against the official documents. Where the resource covers only part of a standard, the note says so.
Students solve two-step equations with negative numbers and fractions, match equations to solutions, and write and solve two-step equations for three money stories. Equations of the form p(x + q) = r and comparing an algebra solution with an arithmetic one are not covered.
Students solve two-step linear equations, including ones where the variable is divided by a number, as in x/4 + 6 = 13. Equations that need the distributive property or collecting like terms are not covered.
Students solve 16 two-step equations, including negative numbers and dividing by a number, and match each to its answer; inequalities are not covered, and no models are used.
Students write and solve a two-step equation for three cost and savings stories; inequalities are not covered.
The worked example checks the answer by putting it back in, and students are told to show both steps; checking is modeled rather than required for each problem.
No. Each item has the variable once and takes exactly two moves, with no distributing.
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