Touchstone Standards

Grade 6 Georgia math worksheets

6th Grade One-Step Equations Worksheets: Substitute, Write, and Solve

Check values by substitution, write equations from bar models and stories, and solve all four kinds with whole numbers, fractions, and decimals.

What students practice

Students start by substituting a value to decide whether an equation is true and by picking the one value from a set that works. Bar models and situations then become equations, and four pages solve addition, subtraction, multiplication, and division equations with whole numbers, fractions, and decimals. A decoding page, a solve-then-check page, and write-and-solve stories finish the packet.

What's inside

  1. p. 3

    True or False?

    Substitute the value into each equation, then circle True or False.

  2. p. 4

    Solve From a Set

    Test each value in the set, then write the one that makes the equation true.

  3. p. 5

    Bar Models to Equations

    Write an equation that matches each bar model, then answer the last question.

  4. p. 6

    Equations From Situations

    Write an equation for each situation, then answer the last question.

  5. p. 7

    Addition and Subtraction

    Solve each equation, then answer the last question.

  6. p. 8

    Multiplication Equations

    Solve each equation, then answer the last question.

  7. p. 9

    Division Equations

    Solve each equation, then answer the last question.

  8. p. 10

    Fractions and Decimals

    Solve each equation, then answer the last question.

  9. p. 11

    Solve and Decode

    Solve each equation, find the answer in the code, then fill in the riddle.

  10. p. 12

    Solve, Then Check

    Solve each equation, then check your answer by substituting it.

  11. p. 13

    Write and Solve

    Write an equation for each problem, then solve it to answer the question.

  12. p. 14

    Solve each problem, then check your work.

Georgia standards covered

6.PAR.7.1

Solve one-step equations and inequalities involving variables when values for the variables are given. Determine whether an equation and inequality involving a variable is true or false for a given value of the variable.

In this packet: pages 3, 4, 12, and 14. 6.PAR.7.1 practice in all our packets

6.PAR.7.2

Write one-step equations and inequalities to represent and solve problems; explain that a variable can represent an unknown number or any number in a specified set.

In this packet: pages 5, 6, 13, and 14. 6.PAR.7.2 practice in all our packets

6.PAR.7.3

Solve problems by writing and solving equations of the form x ± p = q, px = q and x/p = q for cases in which p, q and x are all nonnegative rational numbers.

In this packet: pages 7 to 14. 6.PAR.7.3 practice in all our packets

Who it's for

Grade 6 classes on the equation half of Georgia's equations and inequalities standard; our Inequalities packet is the other half. Every value is positive and every equation takes exactly one step.

See the format first, free. Our free Grade 3 sample, Break-Apart Star Facts, shows the same page layout and answer key style.

More Grade 6 packets

All Grade 6 packets · Grade 6 standards by code