Mastering AMC 8

Learn to use a calculator to focus on math ideas, handling fractions, decimals, and percentages. Master features like remainder division, prime factorization, greatest common factor, and least common multiple.

Explore Symbolab, a step-by-step online math solver, to learn fractions, mixed numbers, decimals, and algebra steps with clear explanations.

Explore ratio concepts in pre algebra through AMC problems: lemonade proportions, a 3-3-4 triangle, and a 7-to-6 clock rate to deduce six o'clock.

Transform AMC 8 questions from real papers into equations to solve for the unknown, illustrating the basic idea of algebra and using online tools.

Mastering AMC 8 teaches solving for x through guided practice: isolating x, moving terms across the equals, handling brackets, and checking the solutions.

Explore solving equations with Symbolab by moving terms across the equals sign and applying division, demonstrated step by step on multiple x problems.

This lecture defines speed as distance over time, and shows how to compute average speed and unit conversions between miles per hour and kilometres per hour using AMC problems.

Learn mean, median, and mode. Compute the mean as the average, find the median in ordered data (even-case), and identify the mode as the most frequent value.

Explore power and the square root, including square numbers and power rules, and apply these ideas to AMC problems about perfect squares and nested roots.

Master the Pythagorean theorem for right triangles, compute height and area using base times height divided by two, and apply to isosceles and AMC 8 geometry problems.

Master the difference of squares to simplify calculating squares by hand using the formula a^2 - b^2 = (a+b)(a-b), speeding AMC-style problems without a calculator.

Explore triangle basics, including angle sum 180, isosceles and equilateral types, and apply the exterior angle theorem to AMC problems, area calculations, and Pythagorean reasoning.

Practice solving linear equations with cross-multiplication, expansion, and Symbolab step-by-step solutions, including problems like (2x+1)/(3x) = x/2, (x+1)/(1-2x) = -1, and a real world problem yielding x = 110.

Translate real AMC 8 word problems into algebra equations, solve for x, and verify results using cross-multiplication and checks, covering coins, percentages, speeds, and factorials.

Learn to solve word problems with two variables by forming equations from data, such as 15% of x equals 20% of y, yielding a 4:3 ratio.

Explore geometry part b with the Pythagorean theorem to solve rhombus area and rectangle in a semicircle, using height calculations, Pythagorean triples, and algebra tricks to find areas.

learn to apply triangle ratio where equal heights yield area ratios equal to base ratios, and use this method to solve AMC 8 problems with equal-perimeter and midpoint configurations.

Explore the properties of similar triangles, including angle equality and proportional sides, and apply area ratios and parallel-line cases to solve AMC style problems.

Apply circle area principles in circles part b using area ratios and sector angles to solve AMC 8 problems, including shaded regions and rectangle minus circles.

Explore counting by multiplication and factorials, using permutations of n people and not-adjacent constraints, with examples from four to six people and practical problems.

Learn counting by multiplication through examples on dice sums, book arrangements, and digits with factorials, packages, and permutations; apply probability and combinatorics to solve AMC 8 problems.

Explore the idea of combinations and how to count without regard to order, using five choose three as a core method and applying it to handshakes, teams, and AMC problems.

Master calculating combinations by using the equivalence n choose k equals n choose n-k, with examples like five choose three. Learn to use nCr on the fx-300ES calculator.

Master the two-circle Venn diagram for sets A and B, with overlap and outside representing neither, and apply it to AMC problems to find only A, only B, and overlap.

Learn to factor large numbers with the fx 300 es calculator by entering the number, pressing equals, then shift and fact to obtain prime factorization.

Develop problem solving skills for AMC 8 by simplifying questions with easy assumptions, forming equations with algebra and geometry, and comparing exponential expressions to order numbers.

Explore similar triangles in parallel and right-triangle scenarios, apply tangent line properties and inscribed semicircles, and blend geometry with algebra to solve AMC 8 problems.

Master radicals by using the product rule to combine square roots, such as sqrt2 times sqrt3 equals sqrt6, and simplify squares to integers 2 and 3.

Learn to transform irregular shapes into regular ones and compute areas by subtracting triangles or combining rectangles, triangles, and inscribed shapes, illustrated with AMC 8 problems.