Power Pre-Algebra

Explore how to translate verbal phrases into numerical expressions, apply order of operations, and evaluate algebraic expressions; interpret coordinates, scatterplots, and line-of-best-fit predictions for Chapter 1 test prep.

Master fractions and decimals by converting fractions to decimals via long division, recognizing repeating decimals with bar notation, and comparing and ordering negatives using common denominators.

learn to multiply rational numbers by converting whole numbers to fractions, turning to improper fractions, cross-canceling factors, and applying to real-world problems with negatives.

Master dividing rational numbers by converting divisions to multiplications with reciprocals and cross-simplifying after turning to improper fractions. Apply these techniques to real-world problems, including hourly rate calculations.

Master adding and subtracting unlike fractions by finding a common denominator, using the least common multiple, and adjusting numerators, then simplify to mixed numbers in word problems.

Identify terms, coefficients, and constants, then simplify by combining like terms and applying the distributive property, including fraction operations on x and y expressions.

Isolate the variable by adding or subtracting, applying inverse operations to solve equations. Use common denominators and improper fractions to combine fractions, illustrated through dog food and newspaper dimension problems.

Master solving two-step equations in power pre-algebra by isolating the variable with inverse operations, and apply these techniques to book-page word problems and fractional expressions.

Examine inequalities using real-world examples, such as a tortoise’s lifespan being at least four times a chimpanzee’s, and test statements on a number line with negative numbers.

Solve inequalities by isolating the variable and using common denominators for fractions; multiply by reciprocals with inequality flips, then illustrate with rate problems and number line graphs.

Solve multi-step equations and inequalities using distribution and combining like terms, isolate x, and determine cases of no solution or infinite solutions. Apply to perimeter problems, like finding rectangle dimensions from a 50 cm perimeter, and practice solving inequalities.

Solve chapter 5 test problems on perimeter and rectangle dimensions, linear equations, variable isolation, and inequality graphs, including cost and hour word problems.

Learn to compute unit rates from totals, such as dollars per shirt and meters per second, and compare prices with methods using gallons or quarts to find the best value.

Identify proportional and non-proportional relationships by examining relative movements and constant ratios, using examples like seven dollars per person and a Dow Jones ratio pattern.

Apply cross multiplication to solve proportions and identify equivalent relationships between numerators and denominators. Use mental math and real-world scenarios, like pizzas for students, to verify the solution.

Convert a 24-yard by 48-yard park to a scale drawing using 1/4 inch equals eight yards, yielding 3/4 inch by 1 1/2 inch and 1 inch to 25 miles.

Learn to find missing side lengths in similar figures by setting up corresponding-side ratios and solving with cross-multiplication, illustrated with two example problems.

Explore indirect measurement by using shadow lengths and height ratios to solve for unknown heights, applying proportional reasoning and cross-multiplication with examples like a school and a lighthouse.

Learn to convert fractions to percents, simplify fractions like 40/1000 to 1/25, and turn 6/13 into about 46.1% using long division; confirm 1/50 equals 2%.

Explore the relationship between fractions, decimals, and percentages by converting percent to decimal and back, and practice ranking save percentages from greatest to least.

learn to solve percent problems with the percent proportion or a decimal method: convert percent to a decimal, multiply by the total, and isolate x for the part or whole.

Apply mental math to find percent of numbers by moving the decimal, estimate with rounding, and verify results using quick checks like 1% of 400 and 40%–42% estimates.

Master how to calculate simple and compound interest using the formula I = PRT, convert rates to decimals, and apply annual and semiannual compounding with practical examples.

Explore how simple interest differs from compound interest by applying a 10 percent rate to a 1000 principal over five years, highlighting how compounding grows the total.

Explore step-by-step methods for converting percentages to fractions and decimals, solving percent of a number, percentage change, discounts, markups, sales tax, circle graphs, and basic interest calculations.

Explore Lesson 8-1 functions as a relationship between two variables and distinguish them from relations using the vertical line test. Use jacket price over time and x-y coordinates as examples.

Identify arithmetic sequences from given terms, derive linear equations like 10n-4 and 5n-2, and compute the 70th term from the pattern.

Explore rate of change as the slope of a linear relationship, compute the unit rate per one message, and see how negative values indicate a decrease on a graph.

Explore constant rate of change and direct variation by modeling cost as a linear, proportional relationship with weight, deriving k from data, and solving for cost at 3.5 pounds.

Explore slope as the rate of change, comparing vertical to horizontal change, using a snowboarding hill example with a slope of -24 over 30, simplified to -4/5.

Isolate y to rewrite equations as y = mx + b. See -9x + y = -5 and y = 6 (m = 0) to identify slope and y-intercept.

Analyze slope intercept form and its relation to rate of change, line, and y-intercept, highlighting how to identify slope m and the perpendicular slope (negative reciprocal) from a function.

Explore systems of equations by graphing two lines to find intersections, determine no-solution cases for parallel lines, and solve by substitution using slope-intercept form and simple examples.

Explore core chapter 8 topics: functions and relations, arithmetic sequences, linear equations and graphs, rate of change, systems of equations, and solving for intersections and solutions.

Explore exponents in a math music video while linking the ideas to power pre-algebra concepts.

Learn how negative exponents correspond to reciprocals and how to convert to positive exponents. Apply exponent rules to simplify expressions by moving factors into the denominator and subtracting exponents.

Explore powers of monomials and exponent rules, including distributing exponents across terms, simplifying expressions like negative exponents, and converting between standard and scientific notation for area problems.

Determine whether a function is linear or nonlinear by examining the x exponent and graph behavior, with examples like y = 3x + 2 and y = -4/x.

Define quadratic function as a second-degree relation in x and graph it by plotting points; maximize a 30-inch ribbon border, yielding 7.5 by 7.5 inches (56.25 square inches).