100+ Free OST Algebra I Practice Questions

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Add the polynomials: (3x^2 + 2x - 5) + (x^2 - 4x + 1).

4x^2 - 2x - 4

3x^2 - 2x - 4

4x^2 + 6x - 4

4x^2 - 2x - 6

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Key Facts: OST Algebra I Exam

The Ohio State Test in Algebra I is a free, two-part, 180-minute high-school end-of-course exam from the Ohio Department of Education and Workforce, covering equations and expressions, functions, and statistics, with a 700 proficiency benchmark and a 684 graduation competency score.

Sample OST Algebra I Practice Questions

Try these sample questions to test your OST Algebra I exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1In the expression 7x + 4, what is the coefficient of x?

A.7

B.4

C.x

D.11

Explanation: A coefficient is the number multiplied by a variable. In 7x + 4, the term 7x means 7 times x, so the coefficient of x is 7. The 4 is a constant term with no variable.

2A store models its profit with the expression 12n - 250, where n is the number of items sold. What does the 250 most likely represent?

A.The profit per item sold

B.The number of items needed to break even

C.A fixed cost subtracted from revenue

D.The total revenue

Explanation: In 12n - 250, the term 12n grows with each item sold, so 12 is the profit per item, and 250 is a fixed amount subtracted regardless of n. A constant subtracted from a revenue-like term represents a fixed cost. Interpreting parts of an expression in context is part of A.SSE.1.

3Which expression is equivalent to 3(x - 5) + 2(x - 5)?

A.6(x - 5)

B.5(x - 5)

C.5x - 5

D.(3x + 2)(x - 5)

Explanation: Both terms share the common factor (x - 5). Adding 3 of them and 2 of them gives 5 of them: 3(x - 5) + 2(x - 5) = (3 + 2)(x - 5) = 5(x - 5). Recognizing a repeated factor as a single entity is the structure idea in A.SSE.2.

4Factor completely: x^2 - 9.

A.(x - 3)^2

B.(x - 9)(x + 1)

C.(x + 3)^2

D.(x - 3)(x + 3)

Explanation: x^2 - 9 is a difference of squares because 9 = 3^2. The pattern a^2 - b^2 = (a - b)(a + b) gives (x - 3)(x + 3). Checking by FOIL: x^2 + 3x - 3x - 9 = x^2 - 9.

5Factor: x^2 + 7x + 12.

A.(x + 2)(x + 6)

B.(x + 3)(x + 4)

C.(x + 1)(x + 12)

D.(x + 5)(x + 2)

Explanation: Find two numbers that multiply to 12 and add to 7. Those are 3 and 4, since 3 × 4 = 12 and 3 + 4 = 7. So the factorization is (x + 3)(x + 4).

6Which expression is equivalent to 2^(3t) written in the form a^t?

A.8^t

B.6^t

C.2^(3+t)

D.5^t

Explanation: Using the power-of-a-power property, 2^(3t) = (2^3)^t = 8^t. Rewriting exponential expressions with the properties of exponents is standard A.SSE.3c work.

7Factor: 4x^2 - 25.

A.(2x - 5)^2

B.(4x - 5)(x + 5)

C.(2x - 25)(2x + 1)

D.(2x - 5)(2x + 5)

Explanation: This is a difference of squares since 4x^2 = (2x)^2 and 25 = 5^2. Applying a^2 - b^2 = (a - b)(a + b) gives (2x - 5)(2x + 5). Expanding confirms 4x^2 - 25.

8By completing the square, the expression x^2 + 6x + 5 can be rewritten as which equivalent form?

A.(x + 3)^2 + 4

B.(x + 6)^2 - 31

C.(x + 3)^2 - 4

D.(x + 3)^2 - 14

Explanation: Take half of 6 (which is 3) and square it to get 9. Write x^2 + 6x + 5 = (x^2 + 6x + 9) - 9 + 5 = (x + 3)^2 - 4. This reveals the minimum value of the function as -4.

9Create an equation for this situation: A taxi charges a $3 flat fee plus $2 per mile. Which equation gives the total cost C for m miles?

A.C = 3m + 2

B.C = 5m

C.C = 2m + 3

D.C = 2m - 3

Explanation: The flat fee of $3 is a constant added regardless of distance, and $2 per mile means 2 times the number of miles m. So C = 2m + 3. Creating equations from context is standard A.CED.2.

10A gym membership costs $40 to join plus $25 per month. Write an inequality to find the number of months m for which the total cost is at most $215.

A.25m + 40 ≥ 215

B.40m + 25 ≤ 215

C.25m - 40 ≤ 215

D.25m + 40 ≤ 215

Explanation: The total cost is the join fee 40 plus 25 per month, giving 25m + 40. 'At most $215' means the cost is less than or equal to 215, so 25m + 40 ≤ 215. Solving gives m ≤ 7.

About the OST Algebra I Exam

The Ohio State Test in Algebra I is a high-school end-of-course (EOC) exam administered by the Ohio Department of Education and Workforce and aligned to Ohio's Learning Standards for Mathematics adopted in 2017. It measures whether students have mastered the Algebra I content they need to be on track for college and career readiness. The test is delivered in two parts of 90 minutes each and uses multiple-choice, multi-select, equation, hot-text and other technology-enhanced item types. Results are grouped into three scored reporting categories - Number, Quantities, Equations and Expressions; Functions; and Statistics - with Modeling and Reasoning embedded across them as at least 20 percent of the points. A graphing calculator and a reference sheet are available on both parts. Algebra I is one of the seven end-of-course tests Ohio students take, and the score counts toward graduation through the points system and the competency score of 684.

Questions

100 scored questions

Time Limit

180 minutes total, given in two 90-minute parts.

Passing Score

Scale score 700 (Proficient) is the proficiency benchmark; the graduation competency score is 684. Passing for accountability includes the Proficient, Accomplished and Advanced levels.

Exam Fee

Free for students; the state funds administration and there is no student registration fee. (Ohio Department of Education and Workforce, with test delivery by Cambium Assessment, Inc.)

OST Algebra I Exam Content Outline

45%

Functions

Function notation and evaluation, key features of graphs and tables, linear and exponential models, building functions and sequences, systems of linear equations, and graphing linear inequalities.

37%

Number, Quantities, Equations and Expressions

Units and quantities, structure of expressions, factoring, creating and solving linear and quadratic equations and inequalities, polynomial arithmetic, and rearranging formulas.

18%

Statistics

Dot plots, histograms and box plots, center and spread, two-way frequency tables, scatterplots, lines of best fit, and interpreting the correlation coefficient.

How to Pass the OST Algebra I Exam

What You Need to Know

Passing score: Scale score 700 (Proficient) is the proficiency benchmark; the graduation competency score is 684. Passing for accountability includes the Proficient, Accomplished and Advanced levels.
Exam length: 100 questions
Time limit: 180 minutes total, given in two 90-minute parts.
Exam fee: Free for students; the state funds administration and there is no student registration fee.

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

OST Algebra I Study Tips from Top Performers

1Use the official Ohio Algebra I blueprint to focus study on Functions, Equations and Expressions, and Statistics in proportion to their weight.

2Practice interpreting graphs, tables and context, because Modeling and Reasoning is embedded across every reporting category.

3Master factoring, the quadratic formula and completing the square, since quadratics appear throughout the Functions and Expressions categories.

4Become fluent with the graphing calculator and the provided reference sheet before test day, as both are allowed on both parts.

5Work released items from recent spring administrations to get used to multi-select and equation-entry item types.

6Review statistics topics such as two-way tables, line of best fit and the correlation coefficient, which are easy points if practiced.

Frequently Asked Questions

What is the Ohio State Test in Algebra I?

It is a high-school end-of-course (EOC) exam administered by the Ohio Department of Education and Workforce that measures mastery of Ohio's Learning Standards for Algebra I. It is one of the seven EOC tests that count toward graduation.

How long is the Algebra I EOC test and how is it given?

The test has two parts of 90 minutes each, for 180 minutes total. It is delivered as a computer-based or paper-based test using multiple-choice, multi-select, equation and other technology-enhanced item types.

What topics does the Algebra I EOC cover?

It covers three scored reporting categories: Number, Quantities, Equations and Expressions; Functions; and Statistics. Modeling and Reasoning is embedded across these categories as at least 20 percent of the points.

What score do I need to pass the Ohio Algebra I test?

Scores range from 618 to 814. A scale score of 700 is Proficient, and a competency score of 684 counts toward graduation. Passing for accountability includes Proficient, Accomplished and Advanced.

Can I use a calculator on the Ohio Algebra I EOC?

Yes. A graphing calculator is permitted on both parts of the high-school end-of-course mathematics test, and an embedded calculator and a reference sheet are available within the online testing platform.

How much does the Ohio Algebra I EOC cost?

There is no cost to students. The Ohio Department of Education and Workforce funds administration of the test through public and community schools, so students do not pay a registration fee.