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ACT Math Practice Tests

These Grade 11 Additional Subjects practice tests cover ACT Math skills in Pre-Algebra, Elementary Algebra, Intermediate Algebra, Coordinate Geometry, Plane Geometry, Trigonometry, probability, statistics, and real-world applications.

Skills covered

  • Solving fractions, exponents, percentages, ratios, equations, inequalities, sequences, and systems
  • Working with lines, slopes, circles, distance, midpoint, transformations, quadratics, functions, and rational expressions
  • Applying triangle properties, similarity, area, volume, circumference, polygons, and the Pythagorean theorem
  • Using sine, cosine, coordinate geometry, probability, expected value, averages, and data relationships
  • Reading and solving equations with LaTeX-style fractions, exponents, coordinates, and geometric notation

How to use these practice tests

Translate the prompt before calculating. Track units, signs, scale factors, and whether the question asks for a value, rate, probability, area, volume, or equation.

For more Grade 11 Additional Subjects practice, return to the Grade 11 Additional Subjects category.

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2. Test

Grade 11 ACT Math Practice Tests

Practice Grade 11 Additional Subjects questions for ACT Math covering pre-algebra, algebra, coordinate geometry, plane geometry, trigonometry, probability, and data analysis.

Choose the best answer. Translate the situation into an equation, coordinate relationship, geometric rule, or probability model, then solve and check the units.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

What is the solution to the system x+y=9x+y=9 and x−y=1x-y=1?

Please select an answer first.

Correct answer: A

The correct answer is (x,y)=(5,4)(x,y)=(5,4).

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Adding the equations gives 2x=102x=10, so x=5x=5 and y=4y=4.
  3. Check the result: The correct answer is (x,y)=(5,4)(x,y)=(5,4).

Adding the equations gives 2x=102x=10, so x=5x=5 and y=4y=4.

2. QuestionMultiple choice

What is the slope of y=−3x+7y=-3x+7?

Please select an answer first.

Correct answer: B

The correct answer is -3.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: In slope-intercept form y=mx+by=mx+b, the coefficient of xx is the slope, so m=−3m=-3.
  3. Check the result: The correct answer is -3.

In slope-intercept form y=mx+by=mx+b, the coefficient of xx is the slope, so m=−3m=-3.

3. QuestionMultiple choice

Which equation represents a line with slope 2 and yy-intercept -5?

Please select an answer first.

Correct answer: C

The correct answer is y=2x−5y=2x-5.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Substitute m=2m=2 and b=−5b=-5 into y=mx+by=mx+b.
  3. Check the result: The correct answer is y=2x−5y=2x-5.

Substitute m=2m=2 and b=−5b=-5 into y=mx+by=mx+b.

4. QuestionMultiple choice

What are the solutions of x2−5x+6=0x^2-5x+6=0?

Please select an answer first.

Correct answer: D

The correct answer is 2 and 3.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Factor as (x−2)(x−3)=0(x-2)(x-3)=0, giving solutions 2 and 3.
  3. Check the result: The correct answer is 2 and 3.

Factor as (x−2)(x−3)=0(x-2)(x-3)=0, giving solutions 2 and 3.

5. QuestionMultiple choice

Which is a factorization of x2−9x^2-9?

Please select an answer first.

Correct answer: A

The correct answer is (x−3)(x+3)(x-3)(x+3).

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: This is a difference of squares: x2−32=(x−3)(x+3)x^2-3^2=(x-3)(x+3).
  3. Check the result: The correct answer is (x−3)(x+3)(x-3)(x+3).

This is a difference of squares: x2−32=(x−3)(x+3)x^2-3^2=(x-3)(x+3).

6. QuestionMultiple choice

What is the vertex of y=x2+4x+1y=x^2+4x+1?

Please select an answer first.

Correct answer: B

The correct answer is (−2,−3)(-2,-3).

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: The axis is x=−b2a=−2x=-\frac{b}{2a}=-2; substituting gives y=−3y=-3.
  3. Check the result: The correct answer is (−2,−3)(-2,-3).

The axis is x=−b2a=−2x=-\frac{b}{2a}=-2; substituting gives y=−3y=-3.

7. QuestionMultiple choice

What is the value of xx if 3x=813^{x}=81?

Please select an answer first.

Correct answer: C

The correct answer is 4.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Since 81=3481=3^4, the exponent is x=4x=4.
  3. Check the result: The correct answer is 4.

Since 81=3481=3^4, the exponent is x=4x=4.

8. QuestionMultiple choice

For which value is x+2x−1\frac{x+2}{x-1} undefined?

Please select an answer first.

Correct answer: D

The correct answer is 1.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: The expression is undefined when its denominator is zero: x−1=0x-1=0, so x=1x=1.
  3. Check the result: The correct answer is 1.

The expression is undefined when its denominator is zero: x−1=0x-1=0, so x=1x=1.

9. QuestionMultiple choice

An arithmetic sequence begins 7, 12, 17, 22. What is its 10th term?

Please select an answer first.

Correct answer: A

The correct answer is 52.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: The common difference is 5, so a10=7+(10−1)(5)=52a_{10}=7+(10-1)(5)=52.
  3. Check the result: The correct answer is 52.

The common difference is 5, so a10=7+(10−1)(5)=52a_{10}=7+(10-1)(5)=52.

10. QuestionMultiple choice

If f(x)=2x2+1f(x)=2x^2+1, what is f(−2)f(-2)?

Please select an answer first.

Correct answer: B

The correct answer is 9.

  1. Translate the problem: Write the arithmetic, algebraic, coordinate, geometric, or trigonometric relationship described.
  2. Solve efficiently: Substitute −2-2: f(−2)=2(−2)2+1=2(4)+1=9f(-2)=2(-2)^2+1=2(4)+1=9.
  3. Check the result: The correct answer is 9.

Substitute −2-2: f(−2)=2(−2)2+1=2(4)+1=9f(-2)=2(-2)^2+1=2(4)+1=9.

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