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Grade 9 · Math · Algebra 1

9th grade Evaluate expressions with fractions, decimals, absolute value and roots worksheet

6 printable versionsChallenge Me10 questions · answer keyFree · no account

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Evaluate expressions with fractions, decimals, absolute value and roots

Grade 9 Math Worksheet - Challenge Me

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

  1. Kira has a big fraction (it is taller than it looks). On the top: 1/2 + 1/3. On the bottom: 3/4 − 1/2. What is its value?

  2. Milo has a big fraction. On the top: 1/4 + 1/6. On the bottom: 1 − 3/5. What is its value?

  3. Noah has a big fraction. On the top: 3/8 + 1/4. On the bottom: 1 − 3/4. What is its value?

  4. Pia's fraction has √x + |y| on the top and 2 on the bottom. What is its value when x = 49 and y = −5?

  5. Ren's fraction has 3|y| − √x on the top and 4 on the bottom. What is its value when x = 25 and y = −3?

  6. Zee's fraction has √x + 2|y| on the top and 5 on the bottom. What is its value when x = 81 and y = −4?

  7. Ari scored 8.5, 9, 7.5 and 10 in four events (one wobbly cartwheel included). The mean has the total on the top and 4 on the bottom. What is the mean?

  8. Bo bikes 6 km in 0.5 h, then 9 km in 1 h. Average speed has total distance on the top and total time on the bottom. What is it, in km per hour?

  9. Esme reads 3/4 h, 1/2 h, 1/4 h and 1 h on four days. The mean has the total on the top and 4 on the bottom. What is the mean, in hours?

  10. Jun hikes 3/2 km in 1/2 h, then 5/2 km in 1 h. Average speed has total distance on the top and total time on the bottom. What is it, in km per hour?

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9th grade Evaluate expressions with fractions, decimals, absolute value and roots worksheet – printable
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About this worksheet

Evaluate expressions with fractions, decimals, absolute value and roots. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can put a fraction, a decimal or a negative number into an expression and find its value.
  • I can work out the whole top and the whole bottom of a fraction bar before I divide.
  • I can evaluate |x − 6|, a square root, a cube root, and a big fraction with fractions inside.

Standard: state-only (supports A-SSE.A.1; no CCSS standard asks for evaluating as such)

Words to know

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

fraction bar: Works like brackets: do the whole top and the whole bottom first.

square root √: The number that times itself makes the number inside.

cube root ∛: The number used three times in a product that makes the number inside.

Common mistakes

Your child multiplied both the top and the bottom of a fraction by a whole number.

Your child added a whole number to the top of a fraction only.

Your child divided only the last piece on top of a fraction.

What to say

Ask: what is 3 groups of 2/3?

Ask: is 4 and a half the same as 5 halves?

Ask: which numbers does the fraction bar divide?

Questions parents ask

What is the most common mistake with evaluate expressions with fractions, decimals, absolute value and roots?

Your child multiplied both the top and the bottom of a fraction by a whole number.

How can I help my child with evaluate expressions with fractions, decimals, absolute value and roots?

Ask: what is 3 groups of 2/3?

Are these 9th 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 algebra 1

See all Algebra 1

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