# ACT Math – Intermediate Algebra Review

**ACT Math – Intermediate Algebra**

**Review**page focuses on the math concepts required to do well on the intermediate algebra problems encountered in the ACT Math test. If a student answered incorrectly some of the questions in the Intermediate Algebra Quiz, no need to worry. He/she will find on this page online resources to review or practice the topics he/she has trouble with.

Note: Go to the tools to check other review pages or quizzes.

#### Intermediate Algebra Review Topics

##### Solving quadratic equations

Khan Academy – Video (6:21)

The Math Page – a course on quadratic equations

KUTAsoftware worksheet with answers

##### System of equations

Khan Academy – a course on systems of equation

KUTAsoftware worksheet with answers

##### Functions

Khan Academy – Video 1(7:57) – Video 2(6:14)

##### Matrices

Khan Academy – Video(5:34)

Mathworksheets4kids.com worksheet with answers

Mathworksheets4kids.com worksheet with answers

##### Logarithms

Khan Academy – Video(7:01)

##### Equations with variable on both sides

Khan Academy – Video(8:52)

Once the student has reviewed the skill he/she was struggling with, he/she should take the Intermediate Algebra Quiz** **again to make sure he/she can answer all the questions correctly.

The CollegeGuide4Parents Math Tools

The CollegeGuide4Parents Math Tools

The ACT Math test focuses on concepts of pre-algebra, elementary algebra, intermediate algebra, coordinate geometry, plane geometry and trigonometry. CollegeGuide4Parents created **7 short interactive quizzes** (see below for a complete list) designed to help students quickly identify the skills they need to review in each of these areas. When they are done answering a quiz, students are presented with a customized report which shows the mistakes made, the correct answers and the topics they need to work on.

Students are also directed to a **review page** (see below for a list of all the review pages) which shows a compilation of online resources they can consult to quickly study the concepts they have difficulties with. Review pages also include links to practice worksheets for those needing to spend extra time on some topics. Finally, the review pages also provide links to ACT problems which the students can work on once they are ready to practice.

##### Quizzes:

(order of operations; even and odd numbers; adding and subtracting signed numbers; multiplying and dividing signed numbers)

(factors and multiples; primes; divisibility; remainders; percentages; fractions; decimals; ratios; proportions; mean, median, and mode; probability; absolute values; exponents; square roots; series)

ACT Math – Elementary Algebra Quiz

(substitution; polynomial simplification; linear equations; FOIL; inequalities)

ACT Math – Intermediate Algebra Quiz

(solving quadratic equations; systems of equations; functions; matrices; logarithms; and equations with variable on both sides)

ACT Math – Coordinate Geometry Quiz

(inequalities and graphs; distance between points; midpoint; coordinate plane; slope between 2 points; slope of perpendicular and parallel lines; slope-intercept form; intercept; graphs; vertex of parabola)

ACT Math – Plane Geometry Quiz

(lines and angles; acute, obtuse, complementary, and supplementary angles; vertical angles and parallel lines; special triangles; similar triangles; pythagorean theorem; perimeter and area of circles, triangles, and rectangles; volume of 3-dimensional shapes)

(fundamentals of trigonometry; Sine, Cosine, and Tangent; Sine, Cosine, Tangent and the right triangle; graphs of Sine, Cosine and Tangent functions; some more advanced concepts such amplitude, period, phase shift and frequency)

##### Review Pages:

(order of operations; even and odd numbers; adding and subtracting signed numbers; multiplying and dividing signed numbers)

(factors and multiples; primes; divisibility; remainders; percentages; fractions; decimals; ratios; proportions; mean, median, and mode; probability; absolute values; exponents; square roots; series)

ACT Math – Elementary Algebra Review

(substitution; polynomial simplification; linear equations; FOIL; inequalities)

ACT Math – Intermediate Algebra Review

(solving quadratic equations; systems of equations; functions; matrices; logarithms; and equations with variable on both sides)

ACT Math – Coordinate Geometry Review

(inequalities and graphs; distance between points; midpoint; coordinate plane; slope between 2 points; slope of perpendicular and parallel lines; slope-intercept form; intercept; graphs; vertex of parabola)

ACT Math – Plane Geometry Review

(lines and angles; acute, obtuse, complementary, and supplementary angles; vertical angles and parallel lines; special triangles; similar triangles; pythagorean theorem; perimeter and area of circles, triangles, and rectangles; volume of 3-dimensional shapes)

ACT Math – Trigonometry Review

(fundamentals of trigonometry; Sine, Cosine, and Tangent; Sine, Cosine, Tangent and the right triangle; graphs of Sine, Cosine and Tangent functions; some more advanced concepts such amplitude, period, phase shift and frequency)