Free · Printable · TEKS 5.4F · Algebraic Reasoning

TEKS 5.4F Worksheets — Grade 5 Simplify numerical expressions that do not involve

200+ Texas-aligned practice questions on this exact Grade 5 standard. Print at home or practice online with a built-in AI tutor. No sign-up, no paywall.

What TEKS 5.4F says: Simplify numerical expressions that do not involve exponents, including up to two levels of grouping.

This page has 200+ practice questions tagged specifically to TEKS 5.4F. Below: a sample of 8 with answers and explanations so you can preview the worksheet before printing. Every question goes through an AI quality gate (gpt-4o for content review, Claude Sonnet 4.5 for math verification) before publishing.

Cognitive demand: medium. Typical question shape: Expression with parentheses; apply order of operations.

Abigail is organizing a bake sale to raise money for her school in Tyler, Texas. She plans to sell cookies and brownies. If she bakes 3 batches of cookies with 12 cookies in each batch and 2 batches of brownies with 8 brownies in each batch, how many total baked goods does she have to sell? Which expression can be used to find the total number of baked goods?

  1. 3 * 12 + 2 * 8
  2. 12 + 8
  3. 3 + 2
  4. 3 * 8 + 2 * 12

Why: To find the total number of baked goods Abigail has, we can use the expression 3 * 12 + 2 * 8. This represents the total cookies (3 batches of 12 cookies) plus the total brownies (2 batches of 8 brownies). Thus, 3 * 12 = 36 cookies and 2 * 8 = 16 brownies, and when we add them together (36 + 16), we get 52 total baked goods.

Zara's family runs a ranch in Texas where they raise cattle. This week, Zara needs to help her dad make some hay bales. Each hay bale requires 4 bundles of hay. If they have 36 bundles of hay, how many whole hay bales can they make?

  1. 8
  2. 9
  3. 7
  4. 6

Why: To find out how many whole hay bales Zara can make, divide the total number of bundles by the number of bundles needed for one hay bale. So, 36 ÷ 4 = 9. Therefore, they can make 9 whole hay bales.

Sage went to the San Antonio Stock Show and bought 14 balloons for herself and 8 balloons to share with her friends. What is the total number of balloons Sage bought?

  1. 22
  2. 18
  3. 20
  4. 26

Why: To find the total number of balloons Sage bought, you add the number of balloons for herself (14) to the number of balloons she bought for her friends (8). So, 14 + 8 = 22. Therefore, the correct answer is 22.

Jacob is helping his family prepare for a local festival in Austin. They decided to make 3 batches of tamales, with each batch requiring 12 ingredients. They also need to add 4 extra ingredients for the salsa. Which expression should Jacob use to find the total number of ingredients needed for both the tamales and the salsa?

  1. 3 * 12 + 4
  2. 3 + 12 * 4
  3. 12 + 3 * 4
  4. 3 * (12 + 4)

Why: To find the total number of ingredients needed, Jacob should calculate the total ingredients for the tamales first by multiplying the number of batches (3) by the number of ingredients needed for each batch (12), and then add the 4 extra ingredients for the salsa. So the correct expression is 3 * 12 + 4, which equals 36 + 4 = 40 total ingredients.

Yara is helping her grandmother sell oranges at the McAllen farmers market. They have 120 oranges to sell. If they pack the oranges in boxes with 15 oranges in each box, how many boxes will they need to hold all the oranges?

  1. 7
  2. 8
  3. 6
  4. 9

Why: To find out how many boxes are needed, divide the total number of oranges by the number of oranges per box. This means you calculate 120 ÷ 15. This equals 8, so Yara and her grandmother will need 8 boxes to hold all the oranges.

David is helping his family prepare for a barbecue in El Paso. They plan to cook 8 pounds of brisket and 5 pounds of ribs. If they need to prepare additional sides that require 3 pounds of beans and 2 pounds of rice, how many pounds of meat and sides do they need to prepare in total?

  1. 18
  2. 15
  3. 11
  4. 20

Why: To find the total weight of meat and sides, first add the weights of the brisket and ribs: 8 + 5 = 13 pounds. Then add the weights of the beans and rice: 3 + 2 = 5 pounds. Finally, add the two sums together: 13 + 5 = 18 pounds. Therefore, David and his family need to prepare a total of 18 pounds.

Cristian is helping his family prepare for a fishing trip to Galveston. They need a total of 80 pounds of ice to keep their catches fresh. If they already have 30 pounds of ice, how many more pounds do they need to buy?

  1. 50
  2. 60
  3. 70
  4. 80

Why: To find out how much more ice Cristian needs to buy, subtract the amount of ice they already have from the total they need. The calculation is 80 - 30 = 50. Therefore, Cristian needs to buy 50 more pounds of ice.

Adrian is planning a bake sale at school to raise money for a field trip to Padre Island National Seashore. He baked 24 cookies and 18 brownies to sell. How many treats does Adrian have in total?

  1. 42
  2. 36
  3. 30
  4. 18

Why: To find the total number of treats Adrian has, you need to add the number of cookies to the number of brownies. So, 24 cookies + 18 brownies equals 42 treats. Therefore, the correct answer is 42.

Common questions about TEKS 5.4F

What is TEKS 5.4F?

TEKS 5.4F is a Grade 5 Algebraic Reasoning standard from the Texas Essential Knowledge and Skills. The standard says: Simplify numerical expressions that do not involve exponents, including up to two levels of grouping.

How many TEKS 5.4F practice questions are available?

200+ practice questions tagged to TEKS 5.4F. All free to print or practice online. We pull a fresh set each time you print a worksheet so your kid doesn't see the same questions twice.

What kind of questions test TEKS 5.4F on the STAAR?

Expression with parentheses; apply order of operations. TEKS 5.4F is a medium-cognitive-demand standard — 1-2 step questions are typical.

Where do these questions come from?

Generated by our AI pipeline, then independently quality-gated by two cross-vendor models (gpt-4o for content review, Claude Sonnet 4.5 for math verification) before publishing. Every question is tagged to TEKS 5.4F and modeled on real STAAR item shapes. No typos, no wrong answer keys, no broken explanations.