Grade 6 Mathematics · Unit 8: Equations & InequalitiesStandard 6.AT.8

Lesson 8.1Writing Equations

Apply Day · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can write an equation for a real situation and check whether a given value is a solution by substituting it.

Remember8.1 · Part II

Equations & Solutions

  1. An equation is a mathematical sentence stating two expressions are equal
  2. A solution is a value for the variable that makes the equation true
  3. Check: Substitute the value into the equation and verify that both sides balance

Words: Equation (Ecuación)Variable (Variable)Equal sign (Signo igual)Expression (Expresión)Constant (Constante)

  1. 1Complete each step, then write the final answer.

    Which value is a solution of n + 3 = 10: 6, 7, or 8?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    Which value is a solution of n + 18 = 47: 29, 31, or 65?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.

    Which value makes 7k = 63 true: 8, 9, or 56?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.

    Each pack has 6 juice boxes. Maria buys p packs and gets 24 juice boxes. The equation is 6p = 24. Which value is a solution: 3, 4, or 18?

    Show your work
    Final answer:
  5. 5Circle the letter of the best answer. Show how you know.

    A recipe uses 3 cups of flour for each batch. Lee used 15 cups of flour. Which equation fits, and what is its solution?

    1. A3b = 15, so b = 5
    2. Bb + 3 = 15, so b = 12
    3. Cb ÷ 3 = 15, so b = 45
    4. D3b = 15, so b = 45
    Show your work
  6. 6Complete each step, then write the final answer.

    Which value is a solution of 2n + 5 = 21: 7, 8, or 13?

    Show your work
    Final answer:
  7. 7Circle the letter of the best answer. Show how you know.

    Which equation represents: 'A number plus 12 equals 30'?

    1. An + 12 = 30
    2. Bn − 12 = 30
    3. C12n = 30
    4. Dn / 12 = 30
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    Which equation represents: 'Seven less than a number is 18'?

    1. An − 7 = 18
    2. B7 − n = 18
    3. Cn + 7 = 18
    4. Dn / 7 = 18
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    Which equation represents: 'Three times a number equals 21'?

    1. A3n = 21
    2. Bn + 3 = 21
    3. Cn − 3 = 21
    4. Dn / 3 = 21
    Show your work
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help