Improve Your ACT Math Score & Digital ACT Math Desmos Guide

Explore proven ACT math strategies, including process of elimination, back solving, and picking numbers, to solve multiple-choice questions more quickly and accurately.

Master the process of elimination, a versatile technique for any multiple choice test, including ACT math, to quickly rule out wrong answers and improve guessing.

Use the process of elimination to identify line p, using y intercept and slope in y = mx + b, confirming y intercept is six and slope positive.

Apply process of elimination to find a line's equation by using the y-intercept at six and a negative slope, eliminating options until only one choice remains.

Improve your ACT math score by drawing a picture to visualize reflections and estimate coordinates. See A(3,8) reflect across the y-axis to (-3,8), guiding you to the correct answer.

Draw visual diagrams to explore sets and subsets, showing how elements in B, C, and D relate to A, and determine membership conclusions in an example problem.

Draw a picture and estimate to solve a midpoint problem quickly; given the midpoint (3,-7) and one endpoint (9,-11), identify the unknown endpoint by elimination.

Use back solving to find the fewest paintings needed for at least $60,000 profit, evaluating the expression 500p - p^2 for p = 100, 150, and 200 on a calculator.

Use backsolving to find CG so the large rectangle FGD has area 48, twice the small rectangle ABCD's area (6 by 4 equals 24), by plugging answer choices.

Practice back solving on an ACT math problem by plugging in answer choices to test divisibility, ensuring 24 students receive equal numbers of markers with none left over.

Learn the picking numbers strategy for act math by selecting easy values for variables, testing choices, and refining with new numbers when needed; beware zero and one.

Learn to solve percentage change problems with the picking numbers method, using a city population example with 20% up, 30% up, and 20% down to a 25% net increase.

The lecture demonstrates determining an expression equivalent to |a| - |b| for a>0, b<0 by substituting values, testing five choices, and distinguishing with larger |b|, concluding with K.

Apply the picking numbers strategy to a formulas problem from test b05 to determine which statements cannot be true, using A and B real numbers with tests like A=0, B=4.

Explore a picking numbers problem using a^b = x and c^b = y with integers; it multiplies x and y and tests expressions to find the matching option.

Learn ratio matching to pick numbers that satisfy A:B=6:1 and B:C=12:1, then evaluate 2A+3B over 4B+3C to obtain 60/17 (approximately 3.53).

Apply the picking numbers strategy to solve a geometry formula problem by substituting a numeric value for the variable, compute resulting angle measures, and verify against answer choices.

learn how doubling the length, width, and height of a rectangular solid affects its surface area, by picking numbers, calculating original and new areas, and identifying a fourfold factor.

Learn the draw a picture strategy for act math, apply the Pythagorean theorem to compare walked distance with direct distance, and solve geometry problems on midpoints, squares, and circle intersections.

Practice backsolving across ACT math problems, including profit maximization with p(c) = 1600 c - 4 c^2, solving systems and quadratic equations by plug-in, arithmetic sequences, exponentials, and average problems.

Explore the picking numbers technique to solve ACT math problems, using log rules and calculator checks; apply to absolute values, area fractions, and factorials in practice items.

Use the picking numbers strategy to solve module 1 worksheet problems 25–30, analyzing expressions, price percent changes, shirt quantities, quadrants, and absolute value inequalities.

Explore basic TI 84 plus features, including keys, operations, and graphing functions with zoom and window adjustments for beginners.

Learn to use the 84 plus graphing calculator efficiently, mastering delete, clear, insert, second, alpha, pi, e to the x, i, entry, and ans to boost your act math score.

Learn how to graph functions on a calculator by entering y equals expressions, graphing lines and inequalities, and using multiple functions with color coding.

Master graphing settings to adjust the viewing window with zoom in, zoom out, and standard presets. Set x and y ranges and observe the graph around the origin.

Explore how to trace graphs to read x and y coordinates and use the table of values to generate x-y pairs, including adjusting trace steps and table start values.

Practice graphing calculator operations on TI-84 models to improve ACT math, including decimals to fractions, remainders, zeros, intersections, systems, matrices, log change of base formula, plus a downloadable pdf reference.

Learn to convert decimals to fractions using the frac function from the math menu, enabling quick ACT back solving by turning decimals into fractions like 0.225 to 9/40.

learn to enter fractions vertically on a graphing calculator using the frac menu (alpha y equals), simplify fractions, and find fractional results like averages without converting to decimals.

Convert degrees to radians and radians to degrees using calculator mode, including entering the degree symbol, switching between degree and radian modes, and expressing results as fractions of pi.

Use the math menu abs to evaluate |2^2 − three times four|, giving 8, then graph |x−1|+2 on the y= screen, a v-shape shifted right 1 unit and up 2.

Learn to set the graphing calculator to scientific notation, enter numbers with the e button, and compute sums in scientific notation to improve your ACT math score.

Master the remainder function on the calculator to compute remainders in long division and locate digits in repeating patterns, with examples such as the 322nd digit of 0.1357 repeating.

Learn to evaluate functions with a graphing calculator by graphing the function, using the value option from the calculate menu, and inputting x-values to obtain corresponding outputs.

Learn to find zeros, roots, and x-intercepts by graphing polynomials and using the calculator's zero function. Practice with polynomial examples to locate intercepts and, for quadratics, sum the roots.

Use the calculator's intersect feature to solve a system of equations by graphing two lines. Graph y = 3x - 4 and y = -x + 7, find the intersection for x and y, and obtain x/y as 11/17.

Learn to solve a 2×2 system with the matrix method: form the coefficient and constant matrices and compute the solution with a calculator; it works only for a unique solution.

Learn to graph linear inequalities and systems on graphing calculators, shade regions accurately, and compare overlapped solutions using entering y, inequality symbols, and color shading.

Find the equation of a line from two or more points using linear regression to obtain the slope and y-intercept, via the stat menu with LX1 and LX2 values.

Discover how to evaluate logarithms to any base using the calculator’s log base function, demonstrated with log base 3 of 20, which yields 2.7268 and applies change of base automatically.

Explore calculator functions beyond basics, including sine, cosine, tangent, logs, exponential, cube and nth roots, permutations, combinations, and factorial, with quick access on TI-84 plus via math and PRB menus.

Learn to find the mean, median, and standard deviation from a frequency table with a TI-84 calculator. Enter values in L1 and frequencies in L2, then use one-variable stats.

Review calculator operations and complete the 25-problem worksheet on the graphing calculator, then check answers and view full video solutions to any missed questions.

Demonstrate solving worksheet problems with the TI-84 plus C graphing calculator, in module two of Improve your ACT math score, building familiarity with calculator operations for ACT problems.

Enter the expression with proper parentheses into the calculator, obtaining 16 as the correct answer for module 2 worksheet problem 1, corresponding to letter b.

Evaluate the expression square root of 9/4 minus the cube root of negative one eighth using calculator steps, yielding 2 as the correct answer.

Explains solving ACT math problems involving decimals, fractions, and mixed numbers, including converting between improper fractions and mixed numbers, computing totals, and finding midpoints as arithmetic means.

Set the calculator to radians, input 135°, and read radian value from the angle menu. Convert decimal to a fraction of pi to get 3 pi over 4, identifying C.

Learn to use the least common multiple to find the smallest number divisible by 15 and 35, then find the least common denominator for 4/15, 1/20, and 3/8.

Learn to evaluate a cubic profit function to find break-even points using back-solving, graphing, and x-intercepts, and to compute total cost for 100 pounds from an exponential price function.

Learn to find zeros and x-intercepts of 24x^2+2x-15 by graphing and using the zero function to identify and compare the parabola's roots.

learn to solve systems of equations using the matrix method and the intersection method, solving standard-form lines and recognizing no-solution cases.

Solve a two-inequality system by graphing a linear bound y ≤ −x/2 + 3 and the outside-of-circle region X^2 + Y^2 > 4, then identify the correct graph (K).

Solve for the line through two points from an arithmetic sequence, use linear regression to find slope 4 and intercept -3, yielding nth term expression a_n = 4n - 3.

Use the log base change formula to evaluate log base 6 of 36 and log base 3 of 9. The expression simplifies without a calculator and equals 4.

Practice matrix operations in act math: multiply a 1×2 matrix by a 2×1 to yield a scalar, then compute C = A − 3B for 2×2 matrices.

Compute eight factorial divided by four factorial squared using a calculator. Apply factorial and square operations via the math probability menu to get 70.

Explore real numbers and their rational and irrational types, with terminating or repeating decimals, pi, and square roots of non-perfect squares, plus the groups integers, whole numbers, and natural numbers.

Master solving linear equations for ACT math by distributing, clearing fractions with the lowest common denominator, and isolating the variable; recognize when no solution or all real numbers apply.

Learn to solve single linear inequalities using standard steps, flipping the inequality when dividing by negatives. Graph the solutions on a number line, including double, compound, and absolute value inequalities.

Explore the midpoint and distance formulas to find the midpoint between two points in the coordinate plane and compute the distance between points, with example problems.

Graph linear inequalities in two variables by turning them into lines, using dashed or solid boundaries, and shading with a test point to locate the overlap region.

Explore key polynomial concepts, including degree, leading coefficient, and like terms; learn to add, subtract, and multiply polynomials using the distributive property and foil.

Master radical simplification of square roots through prime factorization, outside and inside radical rules, and exponent division by the index; apply addition, subtraction, multiplication, and rationalization with conjugates.

Explore imaginary and complex numbers, including i, conjugates, and the rules for addition, subtraction, multiplication, and division. Learn to rationalize denominators for ACT math problems.

Explore function notation and evaluation by substituting inputs into f, g, and h, and applying order of operations to obtain y values. Examine composition of functions, including f∘g and g∘f, and solve examples using tables and algebraic expressions.

Explore quadratic functions, standard and vertex forms, compute vertex coordinates, solve roots with the quadratic formula, and understand sum and product of roots for better ACT math performance.

Learn to work with rational expressions by factoring, canceling common factors, and performing addition, subtraction, multiplication, and division, including solving equations and understanding domain and complex fractions.

Explore ellipses, a conic shaped like an oval, with horizontal or vertical standard forms, centered at (h,k), with major and minor axes and foci along the major axis.

Explore algebra review topics from the ACT math section with module 3 worksheet solutions organized by test, and apply traditional solving methods rather than calculator shortcuts.

Improve your act math score by mastering slope from standard form and slope intercept form, and applying the negative A over B shortcut; solve quadratics and compose functions like f(g(x)).

Tackle ACT math worksheet problems on parallel line slopes, polynomial expansion, and systems of equations, then master exponent rules and function composition.

Practice exponent rules by subtracting exponents in division, solve a 30% discount to find the regular price, and apply the distance formula and map-scale proportions to miles.

Apply the midpoint formula to find the midpoint of the endpoints (-5, 8) and (3, -1) in the standard coordinate plane, yielding (-1, 7/2) and confirming option b.

Practice solving and simplifying polynomials by combining like terms, factoring quadratics, simplifying radicals, and solving a linear inequality across problems 21–24.

Convert x^(2/3) to the cube root of x squared, and identify irrational numbers by non terminating non repeating decimals like pi and e, as problem K shows, yielding 3√2.

Practice solving module 3 worksheet problems by applying distributive property to polynomials, canceling like terms, and using foil to multiply complex conjugates, yielding a real number.

combine two rational expressions by finding a common denominator, yielding (4a^2 + b^2)/(2ab) for the expression 2a/b + b/(2a).

Solve line coordinates to find y when x=3, compute slope 3/8 from two points, identify the complex conjugate 2-3i, and factor to find the break-even x=10.

Explore geometry topics including angles, triangles, quadrilaterals, parallel lines, right triangles, basic trig, shaded area problems, border area problems, and circles to boost your ACT math score.

Identify angle types, including acute, right, obtuse, and straight, exterior angles, and complementary and supplementary angles, then apply triangle angle sums to 180 degrees and congruent and vertical angle principles.

Explore how two parallel lines cut by a transversal form eight angles and learn how corresponding, alternate interior, alternate exterior, and same side interior angles relate—congruent or supplementary.

Explore parallel lines cut by multiple transversals, using segment ratios to solve for missing lengths; apply proportional reasoning and cross-multiplication to find AC equals 30.

Classify triangles as equilateral, isosceles, or scalene and identify acute, right, and obtuse angles. Describe medians and altitudes, and explain vertex and base angles and the perpendicular by sector concept.

Explore how a regular polygon has equal angles and congruent sides, and is split into triangles by central angles. Compute interior angle sums and diagonals with n(n-3)/2, using the opossum.

Learn how similar triangles use a scale factor to keep proportional sides and perimeters, then apply that similarity to compute a right-triangle area using base and height.

Apply the Pythagorean theorem to right triangles and study the 30-60-90 and 45-45-90 special cases. Learn about Pythagorean triples and area calculations for equilateral triangles with side length two.

Explore right triangle trigonometry with sine, cosine, and tangent, using opposite, adjacent, and hypotenuse to solve sides and angles, including practical problems and inverse trig applications for ACT math.

Explore how to compute the perimeter of polygons and the circumference of circles. Learn the standard formulas for rectangles, squares, and circles, including 2l+2w, 4s, and 2 pi r or pi d.

Learn area formulas for parallelograms, rectangles, squares, triangles (base-height and 1/2 a b sin c), trapezoids, circles, and regular polygons using apothem (gotham) and perimeter.

Explore circle concepts, using standard form to find centers and radii, then compute circumference, area, arcs, and sectors in circle graphs.

Relate circle inscribed in a square to its side through the diameter, and square inscribed in a circle via the diagonal; compute areas using pi r^2 and pythagorean steps.

Subtract border on both sides to get inner length and width, then apply perimeter formula two times the length plus two times the width; 30-by-40 outer edge yields 116 feet.

Apply geometry techniques to ACT worksheets: similar triangles, proportional reasoning, and parallel line theorems. Compute areas and slopes using kite and patio problems, and tangent-based slope from coordinates.

Explore ACT math through problems on area by splitting into rectangles, circle and tangent geometry, 30-60-90 triangles, trapezoid area, and circle-to-square perimeter relationships.

Practice shaded ellipse area problems in act math using the area formula pi a b. Apply pythagorean theorem, isosceles angles, sine ratios, circle graph angles, and coordinate triangle area.

Navigate c03 angle and area problems, determine angle B C is 35 degrees, then 90 minus 35 equals 55 degrees, and find length 22.5 meters with width 10.

Demonstrate rhombus area from diagonals or triangles, solve rectangle and trapezoid areas, and identify rational versus irrational numbers in ACT math worksheet d06 problems.

Tackle Test Z 15 problems on triangle angle sums, isosceles properties, and right-triangle trig, finding angles such as C equals 84 degrees and cosine alpha equals 8/17.

analyze a right triangle problem from test e 23 using a 30-60-90 setup, and determine the short leg as 10 and the long leg as ten root three.

Calculate the park's scale-drawing area as 544 square inches and convert the perimeter to 156 feet using the scale where 1 inch represents 1.5 feet.

Explore probability and statistics topics, including mean, median, mode, histograms, standard deviation, outliers, and general probability, along with permutations, combinations, the slot method, matrices, repeating sequences, and vectors.

Learn how to compute the mean, or average, by summing values and dividing by the count, then see how adding or removing a value changes the mean, with practical examples.

Outliers are extreme values that affect mean more than median or mode and can change range; the example shows median at 72 and mode at 73.

Standard deviation measures how data spread around the mean; low values are close and high values spread out, and it stays unchanged when all values shift equally.

Learn how histograms display frequency, compare ranges versus specific values, and compute mean or median, then apply to a 100-person survey counting those watching at least 4 hours.

Explore probability with two dice by counting outcomes to find sums less than six and simplifying to 5/18, then apply back solving to adjust red marbles for a 3/5 probability.

Learn to read probabilities from two-way tables, sum favorable outcomes and denominators, and combine scenarios to find the overall probability.

Apply the counting principle to count total groupings by multiplying the options in each category. Use the example: six leggings, two shoes, and six t shirts yield 72 possible outfits.

Apply the slot method to count arrangements by filling slots with available choices and multiplying them, and compare it to permutations when repetition is allowed.

Master unit conversions for act math by converting units before calculating areas or volumes, using area and volume factors. Apply inches to feet and square or cube scaling as needed.

Convert all measurements to a common unit, compute the large area, divide by the small-piece area, and round up to the next whole tile using a carpet tile example.

Master repeating sequences by identifying the pattern length and using remainders to locate the nth term. Apply this to powers of I and the ones place pattern, yielding final answer.

Explore arithmetic sequences by identifying the common difference, using explicit and recursive formulas, and solving example problems to find terms like the seventh term.

Explore geometric sequences and the explicit formula a_n = a_1 r^(n-1). Use a_1, r, and n to find terms, illustrated by 27 r^3 = 64, yielding r = 4/3.

Multiply matrices by ensuring the first matrix's columns match the second's rows, yielding a new matrix with the first's rows and second's columns; practice with examples and calculator tips.

Compute the determinant of a two by two matrix by multiplying the diagonals and subtracting the product of the other diagonal (ad minus bc), shown with sample matrix producing 10.

Explore vectors by defining magnitude and direction with i and j unit vectors, and learn to write them as coordinates and add or subtract their components on the coordinate plane.

Calculate the expected value by multiplying each outcome's probability by its value and summing the results. Apply it over a time period by multiplying by the number of days.

Complete the fifth module on probability and statistics by solving thirty-two practice problems, check answers with the key, and watch full video solutions on the course website.

Review the module five worksheet solutions to practice probability and statistics, plus miscellaneous topics, and reinforce efficient problem-solving strategies for the ACT.

Compute the maximum number of distinct assignments for president, vice president, and treasurer from 30 members using a slot method, yielding 30 × 29 × 28 (30 P 3) possibilities.

Compute probabilities using set intersections and sampling without replacement: determine 2/9 for the intersection of B and C, then calculate same-age-bracket probability when selecting two owners and sum across brackets.

Solve geometric sequence problems by finding common ratio, here negative two, to get the sixth term; multiply probabilities for independent events of rolling an eight twice to get 1/64.

Calculate independent-event probability using 1/7 and 1/12 to get 1/84. Then apply the idea that average times number of items equals the sum to find Harry's weight as 120 pounds.

solve probability without replacement and multiply successive events; compute weighted means, explicit arithmetic sequence formulas, mean and median from histograms, and matrix products.

Solve ACT math c03 problems on probability, unit conversion, and lattice points using conditional probability, fraction simplification, and area calculations.

Apply the explicit formula a_n = a_1 + d(n-1) to find the first term as 12. Use weighted averages and median reasoning to identify a minimum final score of 92.

Compute determinant of the matrix and set it equal to 18 to solve for b. Use backsolving with answer choices or a graphing calculator's determinant function to verify.

Decompose vectors into i and j components, add the components to obtain the resultant vector, and identify the correct option on the act math worksheet.

Relate x to z by equalizing y in the two ratios to a common denominator. Compute x:y as 15:6 and y:z as 6:4, then deduce x:z as 15:4.

Improve your ACT Math Score by solving expected value problems: multiply outcomes by their probabilities and sum the results, then apply to discounts and 100-day projections.

Solve triangle problems using the law of sines and law of cosines to determine angles and distances, and select the correct formula based on included sides and supplementary angles.