https://teddyrookbook.com/math/pre-algebra/Recent content in Pre-Algebra (Grade 8) on Teddy Rook Bookhttps://teddyrookbook.com/img/share.jpghttps://teddyrookbook.com/img/share.jpgHugoenhttps://teddyrookbook.com/math/pre-algebra/exponent-product-rule/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/exponent-product-rule/x³ · x⁴ = x⁷ because you count all the factors. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/exponent-quotient-rule/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/exponent-quotient-rule/x⁷ / x³ = x⁴ because three factors cancel. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/power-of-power/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/power-of-power/(x²)³ = x⁶ and (2x)³ = 8x³. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/zero-negative-exponents/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/zero-negative-exponents/5⁰ = 1 and 2⁻³ = 1/8, continuing the pattern of dividing by the base. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/exponent-properties/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/exponent-properties/Simplify expressions with several rules at once. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/scientific-notation/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/scientific-notation/Write numbers as a × 10ⁿ with 1 ≤ a < 10. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/compare-scientific/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/compare-scientific/Compare and estimate with powers of 10. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/scientific-operations/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/scientific-operations/Multiply, divide, add and subtract in scientific notation. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/square-roots/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/square-roots/√49 = 7 because 7² = 49. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/cube-roots/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/cube-roots/∛64 = 4 because 4³ = 64. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/solve-squares-cubes/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/solve-squares-cubes/x² = 25 has two solutions; x³ = −8 has one. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/repeating-decimals/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/repeating-decimals/Turn 0.272727… into 27/99. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/irrational-numbers/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/irrational-numbers/√2 and π have decimals that never end or repeat. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/estimate-irrationals/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/estimate-irrationals/√50 is a little more than 7. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/multi-step-equations/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/multi-step-equations/Distribute, combine like terms, then solve. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/variables-both-sides/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/variables-both-sides/Collect the variable terms on one side first. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/solution-count/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/solution-count/3 = 3 means every number works; 3 = 5 means none does. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/function-definition/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/function-definition/Each input has exactly one output. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/function-representations/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/function-representations/Move between a table, a graph, a rule and words. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/qualitative-graphs/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/qualitative-graphs/Tell the story of a graph and sketch a graph from a story. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/proportional-slope/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/proportional-slope/In y = kx, the unit rate k is the steepness of the line. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/slope-rate-of-change/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/slope-rate-of-change/Slope tells how much y changes for each 1 that x increases. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/slope-from-graph/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/slope-from-graph/Count the vertical and horizontal change between two points. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/slope-similar-triangles/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/slope-similar-triangles/Slope triangles on a line are similar, so their ratios match. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/slope-formula/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/slope-formula/m = (y₂ − y₁)/(x₂ − x₁) for any two points. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/slope-intercept-form/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/slope-intercept-form/y = mx + b: slope m, starting value b. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/linear-nonlinear/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/linear-nonlinear/A function is linear when its rate of change is constant. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/compare-functions/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/compare-functions/Compare rates and starting values across tables, graphs and equations. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/linear-models/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/linear-models/Find the rate and the starting value from a story or two points. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/systems-meaning/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/systems-meaning/The solution is the point on both lines. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/systems-graphing/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/systems-graphing/Graph both lines and read the intersection. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/systems-substitution/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/systems-substitution/Replace one variable with its expression from the other equation. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/systems-special-cases/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/systems-special-cases/Spot systems with no solution or infinitely many. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/systems-word-problems/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/systems-word-problems/Write and solve a system for a two-unknown story. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/translations/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/translations/Slide every point the same distance and direction. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/reflections/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/reflections/Flip a figure across a line. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/rotations/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/rotations/Turn a figure about a point by an angle. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/congruence-transformations/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/congruence-transformations/Two figures are congruent if a sequence of rigid motions maps one onto the other. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/dilations/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/dilations/Scale a figure from a center by a factor k. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/similar-figures/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/similar-figures/Figures are similar if rigid motions and a dilation map one to the other. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/parallel-lines-transversal/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/parallel-lines-transversal/Corresponding and alternate angles are equal. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/triangle-angle-sum/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/triangle-angle-sum/The angles of a triangle add to 180°. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/angle-angle-similarity/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/angle-angle-similarity/Two matching angles are enough for similar triangles. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/pythagorean-theorem/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/pythagorean-theorem/In a right triangle, a² + b² = c², shown by rearranging squares. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/pythagorean-converse/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/pythagorean-converse/If a² + b² = c², the triangle has a right angle. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/pythagorean-applications/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/pythagorean-applications/Find missing lengths in plane figures and boxes. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/distance-between-points/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/distance-between-points/Draw a right triangle between the points. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/volume-cylinders/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/volume-cylinders/V = πr²h: the base area times the height. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/volume-cones/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/volume-cones/A cone holds one third of the matching cylinder. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/volume-spheres/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/volume-spheres/V = (4/3)πr³. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/scatter-plots/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/scatter-plots/Describe clusters, outliers and positive or negative association. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/line-of-fit/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/line-of-fit/Draw a line close to the points and use its equation to predict. Pre-Algebra (Grade 8) · Math Ladderhttps://teddyrookbook.com/math/pre-algebra/two-way-tables/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/math/pre-algebra/two-way-tables/Use row and column totals to look for association in categorical data. Pre-Algebra (Grade 8) · Math Ladder