TExES 902 Patterns and Algebra

Competency 003 of the Core Subjects EC–6: Mathematics (902). The competencies TEA lists, how they are tested and practice questions with explanations.

Take a full timed TExES 902 practice test

40 questions on the real 70-minute clock, with a score by competency group and an explanation for every answer.

Or start the free Patterns and Algebra drill

What the TEA framework lists

  • Relations, functions and linear functions
  • Number and shape sequences, expressions and equations
  • Proportional reasoning and linear models

Summarized from the TExES Core Subjects EC–6 (391) preparation manual, Section 3: exam framework, Competency 003. The grouping of competencies into drill sets is ours.

Line drawing of a balance scale holding cubes beside a row of repeating shapes

How Patterns and Algebra is tested

Questions ask you to extend a pattern, write the rule of a table, solve one- and two-step equations, and recognize proportional relationships in word problems. TEA lists the competencies without weights, so our practice test spreads its questions evenly across them.

Start the free Patterns and Algebra drill

TExES 902 Patterns and Algebra practice questions

Answer each question, then open the explanation.

Question 1

Which situation represents a proportional relationship?

  1. A.A gym charges a $50 sign-up fee and $20 per month.
  2. B.A plant is 5 inches tall and grows 1 inch each week.
  3. C.A taxi charges a $3 base fee plus $2 per mile.
  4. D.Apples cost $1.20 per pound, with no other charges.
Show the answer and explanation

Answer: D: Apples cost $1.20 per pound, with no other charges.

In a proportional relationship, y = kx and the graph passes through the origin: zero pounds of apples cost $0. The other situations include a starting amount, so they are linear but not proportional.

Question 2

A table shows x = 1, 2, 3, 4 and y = 5, 8, 11, 14. Which rule describes the table?

  1. A.y = 2x + 3
  2. B.y = 3x + 2
  3. C.y = x + 4
  4. D.y = 5x
Show the answer and explanation

Answer: B: y = 3x + 2

Each time x increases by 1, y increases by 3, so the rule has the form y = 3x + b. When x = 1, y = 5, so b = 2: y = 3x + 2. Check: 3(4) + 2 = 14.

Question 3

Which expression represents "5 less than twice a number n"?

  1. A.2n − 5
  2. B.2(n − 5)
  3. C.5 − 2n
  4. D.5n − 2
Show the answer and explanation

Answer: A: 2n − 5

Twice a number is 2n, and 5 less than that is 2n − 5. Writing 5 − 2n reverses the order of the subtraction.

Question 4

What is the next number in the pattern 3, 7, 11, 15, ...?

  1. A.17
  2. B.19
  3. C.21
  4. D.30
Show the answer and explanation

Answer: B: 19

The pattern adds 4 each time: 15 + 4 = 19. It is an arithmetic sequence with a common difference of 4.

Take the full test under the real clock

Take a full timed TExES 902 practice test

40 questions on the real 70-minute clock, with a score by competency group and an explanation for every answer.

Or start the free Patterns and Algebra drill

Common questions

How many Patterns and Algebra questions are on the TExES 902?

TEA lists the competencies of the TExES 902 without weights or question counts. Our 40-question practice test spreads its questions evenly across the competencies, which gives Patterns and Algebra 7 questions.

What does Patterns and Algebra cover on the TExES 902?

Relations, functions and linear functions; Number and shape sequences, expressions and equations; Proportional reasoning and linear models.

How should I study Patterns and Algebra for the TExES 902?

Questions ask you to extend a pattern, write the rule of a table, solve one- and two-step equations, and recognize proportional relationships in word problems. TEA lists the competencies without weights, so our practice test spreads its questions evenly across them.

TExES is a trademark of the Texas Education Agency. Original independent practice questions written to the published TExES exam frameworks; not affiliated with or endorsed by the Texas Education Agency or Pearson.