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Grade 6 · Math

6th grade Which value makes it true? worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Which value makes it true?

Grade 6 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

  1. A clue is taped to Bo's backpack. The bar for 16 is cut into x and 7. Which value of x makes x + 7 = 16 true?

    • 16
    • 23
    • 7
    • 9

  2. Esme plays a number game on the phone. The bar for 22 is cut into x and 9. Which value of x makes x + 9 = 22 true?

    • 22
    • 13
    • 9
    • 31

  3. Milo opens an envelope with a puzzle inside. The bar for 30 is cut into 6 equal parts, each x. Which value of x makes 6x = 30 true?

    • 180
    • 24
    • 30
    • 5

  4. Noah checks the clock before a quiz. The bar for 24 is cut into 3 equal parts, each x. Which value of x makes 3x = 24 true?

    • 8
    • 72
    • 24
    • 21

  5. Pia copies a clue onto paper. Test x = 6 in 4x + 3 = 27. Draw 4 bars, each worth 6, and then add the 3. What number does the left side become?

  6. Tala solves a clue. Test x = 4 in 6x − 2 = 22. Draw 6 bars, each worth 4, and then take away the 2. What number does the left side become?

  7. Zee solves a clue. Test x = 5 in 4x − 3 = 20. Draw 4 bars, each worth 5, and then take away the 3. What number does the left side become?

  8. A very serious pencil helps Ari crack a code. Which value of x makes both x > 3 and x < 9 true?

    • 11
    • 2
    • 12
    • 5

  9. Bo opens an envelope with a puzzle inside. Which value of x makes both x > 4 and x < 10 true?

    • 3
    • 7
    • 13
    • 12

  10. Esme solves a clue. Draw the bar for x + 4 and the bar for 9: the first bar must be longer. Which value of x makes x + 4 > 9 true?

    • 1
    • 8
    • 5
    • 3
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6th grade Which value makes it true? worksheet – printable
Print: 123456

About this worksheet

Testing values in equations. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can put a number in for x and tell whether the equation is true.
  • I can find which value from a list makes x + 5 = 13 or 4x = 28 true.
  • I can tell that a number at the edge of an inequality, like 5 in x + 4 > 9, does not make it true.

Standard: 6.EE.B.5

Words to know

substitute: Put a number in place of the letter.

solution: A number that makes the equation or inequality true.

equation: A math sentence with an equal sign. Both sides have the same value.

inequality: A math sentence with > or <. One side is greater or less than the other.

true: Both sides match for an equation, or the comparison really holds for an inequality.

bar (tape) diagram: A bar cut into parts that shows how the numbers fit together.

Common mistakes

Your child used the same operation the equation shows instead of undoing it, so x + 6 = 15 gave 21. Try putting their value into the equation and asking whether both sides match.

Your child subtracted the number next to the letter, so 4x = 36 gave 32. Try asking "4 groups of what make 36?" and let them draw the groups.

Your child added the number next to the letter instead of multiplying, so 5x with x = 3 became 5 + 3. Try asking "what is 5 groups of 3?" and let them draw the groups.

Questions parents ask

What is the most common mistake with which value makes it true??

Your child used the same operation the equation shows instead of undoing it, so x + 6 = 15 gave 21. Try putting their value into the equation and asking whether both sides match.

Are these 6th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 6 math

See all grade 6 math

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