Free · Printable · TEKS 4.5A · Algebraic Reasoning

TEKS 4.5A Worksheets — Grade 4 Represent multi-step problems involving the four operations

200+ Texas-aligned practice questions on this exact Grade 4 standard. Print at home or practice online with a built-in AI tutor. No sign-up, no paywall.

What TEKS 4.5A says: Represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity.

This page has 200+ practice questions tagged specifically to TEKS 4.5A. 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: Word problem; pick the equation with variable.

Santiago is collecting pine cones in the Piney Woods of Texas. He found 45 pine cones in the morning and 38 pine cones in the afternoon. Which equation can be used to find the total number of pine cones he collected?

  1. 45 + 38
  2. 45 - 38
  3. 45 * 38
  4. 45 / 38

Why: To find the total number of pine cones Santiago collected, we add the number he found in the morning (45) to the number he found in the afternoon (38). The correct equation to represent this situation is 45 + 38.

Kayla went to a farmers' market in Lubbock, Texas, and bought 3 bags of fresh carrots for $5 each. She also bought 2 pounds of tomatoes for $3 per pound. How much did Kayla spend in total at the market?

  1. 21
  2. 24
  3. 15
  4. 18

Why: To find the total amount Kayla spent, we first calculate the cost of the bags of carrots: 3 bags × $5 = $15. Next, we calculate the cost of the tomatoes: 2 pounds × $3 = $6. Now, we add these amounts together: $15 + $6 = $21. Therefore, Kayla spent a total of $21 at the market.

Sofia and her family went to the local farmer's market in Waco to buy fresh vegetables. They bought 6 tomatoes and 4 bell peppers. Each tomato costs $2 and each bell pepper costs $1. If they spent all their money on vegetables, which expression represents the total amount they spent?

  1. 6 * 2 + 4 * 1
  2. 6 + 4 + 2
  3. 6 * 2 - 4 * 1
  4. 6 + 4 * 2

Why: To find the total amount Sofia and her family spent, you need to multiply the number of tomatoes by the price per tomato and the number of bell peppers by the price per bell pepper, and then add those two amounts together. The correct expression is 6 * 2 + 4 * 1, which calculates the total cost as follows: 6 tomatoes at $2 each equals $12, and 4 bell peppers at $1 each equals $4. Adding these amounts gives $12 + $4 = $16.

Aaliyah is organizing a school field trip to the Texas Panhandle. There are 48 students going, and each bus can hold 12 students. How many buses does Aaliyah need to transport all the students?

  1. 4
  2. 5
  3. 6
  4. 3

Why: To find out how many buses Aaliyah needs, we need to divide the total number of students by the number of students each bus can hold. So, we calculate 48 students ÷ 12 students per bus = 4 buses. Aaliyah needs 4 buses to transport all the students.

Hana has 25 bluebonnet seeds. She bought 18 more seeds to plant in her garden near Fredericksburg. Which equation can be used to find the total number of seeds Hana has now, where x represents the total number of seeds?

  1. x = 25 + 18
  2. x = 25 - 18
  3. x = 25 × 18
  4. x = 25 / 18

Why: The correct equation to find the total number of seeds Hana has is x = 25 + 18. This represents adding the 25 seeds she already has to the 18 seeds she bought, giving her a total of 43 seeds. The other options do not represent the problem accurately: x = 25 - 18 suggests subtraction, while the multiplication and division options are not applicable in this context.

Oliver is helping his family at their peach orchard in the Rio Grande Valley. They picked 125 peaches on Saturday and 175 peaches on Sunday. Which equation can be used to find the total number of peaches Oliver's family picked over the weekend?

  1. x = 125 + 175
  2. x = 175 - 125
  3. x = 125 - 175
  4. x = 125 * 175

Why: To find the total number of peaches picked, you need to add the number of peaches picked on Saturday (125) to the number picked on Sunday (175). The equation x = 125 + 175 shows this addition correctly, making it the right choice.

Noah went to the market to buy apples and oranges. The apples cost 3 dollars each, and the oranges cost 2 dollars each. If Noah buys 4 apples and 3 oranges, how much money does he spend in total?

  1. 18
  2. 12
  3. 15
  4. 21

Why: To find the total cost, we first calculate the cost of the apples. Noah buys 4 apples at 3 dollars each, which is 4 * 3 = 12 dollars. Next, he buys 3 oranges at 2 dollars each, which is 3 * 2 = 6 dollars. Now, we add the costs together: 12 + 6 = 18. Therefore, Noah spends a total of 18 dollars.

Hector is helping his father at their tortilla shop in El Paso. They have 320 tortillas to sell today. If they sell 75 tortillas in the morning and plan to sell 2 times as many in the afternoon, which equation can be used to find the total number of tortillas Hector and his father will have left at the end of the day? Let x represent the number of tortillas left.

  1. x = 320 - 75 - 2 * 75
  2. x = 320 + 75 + 2 * 75
  3. x = 320 - 75 + 2 * 75
  4. x = 320 - 2 * 75

Why: To find the total number of tortillas left at the end of the day, we start with 320 tortillas. After selling 75 in the morning, we subtract that amount. In the afternoon, they plan to sell 2 times as many as they sold in the morning, which is 2 * 75. Therefore, the equation that represents the situation is x = 320 - 75 - 2 * 75.

Common questions about TEKS 4.5A

What is TEKS 4.5A?

TEKS 4.5A is a Grade 4 Algebraic Reasoning standard from the Texas Essential Knowledge and Skills. The standard says: Represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity.

How many TEKS 4.5A practice questions are available?

200+ practice questions tagged to TEKS 4.5A. 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 4.5A on the STAAR?

Word problem; pick the equation with variable. TEKS 4.5A 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 4.5A and modeled on real STAAR item shapes. No typos, no wrong answer keys, no broken explanations.