ACT Math – Pre-Algebra Review
Note: Go to the tools to check other review pages or quizzes.
Pre-Algebra Review Topics
Factors and Multiples
Khan Academy – video (4:00)
Math is fun – definitions and examples
Math Goodies– least common multiples
Math.com – factoring
Primes
Khan Academy – video (8:13)
Divisibility
Khan Academy – video (6:33)
Math Goodies – rules and examples
Remainders
Khan Academy – long divisions and remainders – video (2:41)
Math is fun – definition
Percentages
Khan Academy – video (3:32)
Math is Fun – introduction to percentages
Math is Fun – percent change
Helping with Math – percentages, percentage increase, percentage decrease – definitions and examples
Skills you need – percentage change
Fractions
Khan Academy – all about fractions
Math is fun – adding fractions
Math is fun – subtracting fractions
Math is fun – multiplying fractions
Math is fun – dividing fractions
Decimals
Khan Academy – All about decimals
Math is fun – lesson and exercises
Ratios
Khan Academy – Video (14:13)
Math is fun – lesson
Proportions
Khan Academy – proportions with unknown variable
Math is fun – lesson and examples
purplemath.com – solving simple proportions
Mean, Median, and Mode
Khan Academy – video (3:54)
Math goodies – Mean, Median, Mode
Probability
Khan Academy – video (8:17)
Math is fun – lesson and examples
Maryville University – A student’s guide to probability and statistics
Absolute Value
Khan Academy – video (5:38)
Math is fun – lesson
Exponents
Khan Academy – video (3:02)
Math is fun – lesson and examples
Square Roots
Khan Academy – video (1:21)
Math is fun – lesson and examples
Purple Math – lesson and examples
Series
Khan Academy – video (7:06)
Math is fun – lesson and examples
Once the student has reviewed the skill he/she was struggling with, he/she should take the Pre-Algebra Quiz again to make sure he/she can answer all the questions correctly.
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)