PencilGo

Grade 6 · Math

6th grade Evaluate expressions and formulas worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version
Print

Evaluate expressions and formulas

Grade 6 Math Worksheet - Building Confidence

NameDate

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

  1. Esme reads k pages each day, so in 4 days Esme reads 4k pages (snack breaks included). That is 4 bars of k. What is 4k when k = 7?

  2. Kira plants a garden that is l meters long and w meters wide. Its area is A = lw, which means l × w. What is A when l = 6 and w = 4?

  3. Luz draws a bar for 5 + 2x: a part of 5 and 2 bars of x. What is 5 + 2x when x = 3?

  4. Milo walks 2 km, then 3 km each hour: after t hours, distance D = 2 + 3t. Bar: a part of 2 and 3 bars of t. What is D when t = 4?

  5. Noah's jar has 30 beads. Each of f friends takes 4, leaving 30 − 4f. The bar of 30 has 4 bars of f cut off. What is 30 − 4f when f = 5?

  6. Tala jots down that x² means x × x. What is x² when x = 4?

  7. Ari has a cube with edge n. Its volume is V = n³, which means n × n × n. What is V when n = 2?

  8. Bo builds a cube with edge n. Its volume is V = n³, which means n × n × n. What is V when n = 4?

  9. Esme sees that the parentheses bundle x + 2 into one bar. What is 3(x + 2) when x = 5?

  10. Jun has a rectangle that is l = 7 cm long and w = 4 cm wide. Its perimeter is P = 2(l + w), and the parentheses bundle l + w. What is P?

PencilGopencilgo.com

6th grade Evaluate expressions and formulas worksheet – printable
Print: 123456

About this worksheet

Evaluating expressions and formulas. 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 a letter and work out the value: 3x with x = 4 is 12.
  • I can still multiply before I add, and do the power before the multiplying, after I put the number in.
  • I can use a formula such as A = lw or P = 2(l + w).

Standard: 6.EE.A.2c

Words to know

evaluate: Find the value of an expression when each letter is replaced by a number.

substitute: Put a number in the place of a letter.

formula: A rule written with letters, like A = lw for the area of a rectangle.

squared, cubed: Squared means times itself (s²). Cubed means three copies multiplied (s³).

parentheses: Marks round a part that must be worked out first.

Common mistakes

Your child put the number and the value side by side (3x with x = 4 as 34). Try asking "3x means 3 groups of x. If x is 4, what is 3 groups of 4?"

Your child added or subtracted before multiplying after putting in the number (2 + 3x with x = 4 as 5 × 4). Try asking "which part is multiplied, and what does that give before we add the other number?"

Your child doubled instead of squaring (5² as 10). Try asking "5² means 5 groups of 5. How many is that?"

Questions parents ask

What is the most common mistake with evaluate expressions and formulas?

Your child put the number and the value side by side (3x with x = 4 as 34). Try asking "3x means 3 groups of x. If x is 4, what is 3 groups of 4?"

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

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records