ACT Math Prep Course

Distribute the negative four across the equation, simplify to like terms, move the 4x term to 16x, then solve 12x = -24 to find x = -2.

Solve the inequality 18 − 7x < 12 by isolating x and dividing by −7, which flips the inequality to x > 6/7. The answer is option B.

Decompose irregular shapes into primary shapes such as rectangles and squares, then calculate and add their areas to solve pre-algebra questions.

Use the mean formula in this pre-algebra question: four numbers average to 30, smallest is 8; the other three sum to 112, so their average is 112/3.

Solve an elementary algebra probability problem by counting red, blue, and white marbles; not white equals red or blue, with 14 of 24 marbles, probability 7/12.

Solve for y to identify the slope and apply it to parallel lines. Extract the slope -8/7 from y equals 5/7 minus 8x/7; parallel lines share this slope.

Differentiate line types by degree: straight lines are degree one, quadratic curves are parabolas, and cubic curves are degree three; the equation with x squared is not a line.

Apply the midpoint formula to find the x-coordinate in coordinate geometry. With x1 = -13 and x2 = 7, compute (-13+7)/2 = -3; the answer is C.

Identify the circle’s radius from a scaled 5-12-13 triangle, doubling to get r = 13, then compute area as pi r^2 = 169 pi.

Calculate the banker’s win probability by comparing the area inside the radius nine region to the total area of the radius fifteen circle, yielding about 36 percent.

Apply fractions and common denominators to budget problems, use cross-multiplication to solve for x, compute square and triangle areas, and analyze coordinates within a system of equations.

Apply base times height to find parallelogram area, compute distances and slopes in coordinate geometry, and use Pythagorean triples and exponent rules to solve problems 29–33.

Explore ratio and proportion through two-out-of-seven acceptance, cross-multiplication and solving for the unknown; apply logarithmic and fractional power rules; and compute a circle’s central angle from a 360-degree total.

Explore ACT math strategies for interpreting fractions, probability, and tables to determine disapproved responses and how corrected classifications split non-students, high school, and college students.

Master ACT math problem solving with calendar arithmetic, angle relationships, gcd and lcm, triangle classification, and probability from the June 2017 questions 45–49.

Convert a mixed fraction to an improper fraction; identify the numerator. Distribute matrices to compute products, then solve a speed problem and apply the triangle area formula.

Solve the elimination method on simultaneous equations to determine the large pasta price, then apply the slop method to count order combinations and total costs for pasta, salads, and breadsticks.

Solve ACT questions on least common multiples, quadratic factoring, cylinder volume and percentages, and apply sine, cosine, tangent via Sokoto rules to find unknowns.

Explore solving inequalities with absolute value and odd/even powers, compute trapezoid area from bases 8 and 12 with height 6, and distinguish rational versus irrational square roots of primes.