Free · Printable · TEKS 4.5B · Algebraic Reasoning
TEKS 4.5B Worksheets — Grade 4 Represent problems using an input-output table and
120+ 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 4.5B says: Represent problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule.
This page has 120+ practice questions tagged specifically to TEKS 4.5B. 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: Input-output table with one missing entry; apply rule.
Hazel is planning a trip from McAllen to Laredo. She wants to stop at a roadside stand that sells oranges. If each bag of oranges contains 6 oranges and she wants to buy 4 bags, how many oranges will Hazel have in total?
- 24 ✓
- 20
- 30
- 18
Why: To find the total number of oranges Hazel will have, multiply the number of bags by the number of oranges in each bag. This can be calculated as 6 * 4 = 24. Therefore, Hazel will have 24 oranges in total.
Alejandra is growing oranges in her backyard in McAllen, Texas. She has an input-output table showing the number of oranges she harvested each week. The rule is to double the number of oranges from the previous week. If she had 5 oranges in week 1, how many oranges did she have in week 3? Week 1: 5, Week 2: __, Week 3: __.
- 20 ✓
- 25
- 10
- 15
Why: To find the number of oranges in week 3, we first apply the rule of doubling the previous week's harvest. Week 1 had 5 oranges. In week 2, Alejandra should have 5 * 2 = 10 oranges. Then, for week 3, she doubles again: 10 * 2 = 20 oranges. Therefore, the answer is 20.
Look at the input-output table below. Each number in the output column is 5 more than the number in the input column. If the input is 10, what is the output? | Input | Output | |-------|--------| | 5 | 10 | | 10 | ? | | 15 | 20 | Hana wants to know the output when the input is 10. What is the output?
- 15 ✓
- 10
- 20
- 25
Why: To find the output when the input is 10, you need to apply the rule given in the table, which states that each output is 5 more than the input. Since the input is 10, you add 5 to it: 10 + 5 = 15. Therefore, the output is 15.
Diego is conducting a project on the fruit trees grown in his family's orchard in the Texas Hill Country. He created an input-output table to show the number of peach trees planted over the years. According to his table, for each year, the number of peach trees increases by 5. Here is part of his input-output table: Years: 1 | 2 | 3 | 4 | Peach Trees: 5 | 10 | ? | 20 | How many peach trees did Diego plant in the third year?
- 15 ✓
- 20
- 10
- 5
Why: To find the number of peach trees Diego planted in the third year, we can look at the pattern in the input-output table. Each year, the number of peach trees increases by 5. Starting from 5 trees in the first year: - Year 1: 5 trees - Year 2: 5 + 5 = 10 trees - Year 3: 10 + 5 = 15 trees - Year 4: 15 + 5 = 20 trees Thus, Diego planted 15 peach trees in the third year.
Hector helped his family make 12 briskets for their barbecue in Houston, Texas. If they serve 3 briskets each day, how many days will it take to serve all the briskets?
- 4 days ✓
- 3 days
- 5 days
- 2 days
Why: To find out how many days it will take to serve all the briskets, divide the total number of briskets by the number of briskets served each day. So, 12 briskets divided by 3 briskets per day equals 4 days. Therefore, it will take Hector's family 4 days to serve all the briskets.
Aaliyah is collecting bluebonnet flowers in Texas. She has an input-output table that shows how many flowers she collects over a few days. On the first day, she collected 5 flowers. Each day after, she collects 3 more flowers than the day before. What is the number of flowers Aaliyah collected on the third day if the rule is to add 3 each day?
- 11 ✓
- 8
- 14
- 15
Why: To find the number of flowers Aaliyah collected on the third day, we can start from the first day where she collected 5 flowers. On the second day, she collected 5 + 3 = 8 flowers. On the third day, she collects 8 + 3 = 11 flowers. Therefore, Aaliyah collected 11 flowers on the third day, which corresponds to the correct answer.
Isabella is helping her family prepare for a picnic in the Texas Hill Country. They are making breakfast tacos. Each breakfast taco uses 2 tortillas and 1/4 cup of beans. If they have an input-output table showing the number of breakfast tacos they want to make and the total number of tortillas needed, which entry should be in the table if they plan to make 5 breakfast tacos? Look at the table below: Tacos | Tortillas ------|---------- 1 | 2 2 | 4 3 | 6 4 | 8 5 | ?
- 10 ✓
- 8
- 12
- 6
Why: To find the number of tortillas needed for 5 breakfast tacos, we use the pattern from the table. Each taco requires 2 tortillas. Therefore, for 5 tacos, we calculate 5 * 2 = 10 tortillas. The correct answer is 10.
Emma is helping her father on their ranch in Comanche County. They are mending fences and need to purchase some new fencing. If they buy 3 rolls of fencing and each roll costs $15, how much will they spend in total?
- $30
- $45 ✓
- $60
- $75
Why: To find the total cost of the fencing, you multiply the number of rolls by the cost of each roll. Emma's father buys 3 rolls at $15 each. So, 3 * 15 equals $45. Therefore, they will spend $45.
Common questions about TEKS 4.5B
What is TEKS 4.5B?
TEKS 4.5B is a Grade 4 Algebraic Reasoning standard from the Texas Essential Knowledge and Skills. The standard says: Represent problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule.
How many TEKS 4.5B practice questions are available?
120+ practice questions tagged to TEKS 4.5B. 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 4.5B on the STAAR?
Input-output table with one missing entry; apply rule. TEKS 4.5B 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 4.5B and modeled on real STAAR item shapes. No typos, no wrong answer keys, no broken explanations.