Algebra Made Easy | Score Higher on Algebra 1 & 2

Master the order of operations using pendas, including parentheses, exponents, multiplication or division, and addition or subtraction, and learn to solve basic equations by isolating variables and combining like terms.

Apply the order of operations with parentheses, exponents, multiplication/division, and addition/subtraction; then solve basic equations by combining like terms, distributing, and isolating variables such as V and B.

Explore solving systems of two equations with two variables using substitution or elimination. Isolate the variable, substitute or eliminate, and practice choosing the method that minimizes work.

practice solving two-equation systems using substitution and elimination, deriving variables such as y, g, and c by expressing one variable in terms of another and eliminating terms.

Explore exponents and roots, including base and exponent basics, negative exponents, negative bases, and fractional exponents, and learn to simplify roots using prime factorization and exponent rules.

Practice exponents and roots through three exercises, solving negative and fractional exponents, fourth and cube roots, and a cubic equation to reinforce key rules and quick reasoning.

Master distribution and factoring by applying the foil method to multiply terms inside parentheses and factors outside, then recognize factoring as the reverse of distribution.

Apply the foil method to distribute polynomials and practice factoring to extract common factors. Tackle exercises with coefficients and variables such as w, x, y, z to verify results.

Identify quadratics as polynomials with a squared term and solve by moving to zero, factoring or using square roots, recognizing two possible roots and avoiding undefined denominators.

Review quadratic factoring, set equations to zero, factor out the coefficient A, find two numbers that multiply to C and add to B, and identify X values.

Memorize the three special quadratics: a^2 - b^2, (a+b)^2, and (a-b)^2, and recognize them to factor quickly and solve algebra problems.

Recognize and factor special quadratics quickly using patterns like (A+B)(A−B)=A^2−B^2, (A+B)^2, and (A−B)^2 to save time on exams.

Learn the quadratic formula, memorize it, and use it as a backup when factoring fails; solve quadratics for two possible x values and recognize the discriminant B^2-4AC.

Apply quadratic formula to solve quadratic equations in standard form, identify a, b, c, substitute into x = -b ± sqrt(b^2 - 4ac) / 2a, and obtain two solutions.

Master completing the square by rewriting ax^2+bx+c=0 as a(x+d)^2+e, and apply the d and e shortcut to solve quadratics and locate parabola vertices.

Master completing the square by rewriting quadratics as a (x + d)^2 + e, using d = B/(2A) and e = C - B^2/(4A), with practical worked examples.

Master inequalities by interpreting symbols, solving with the rules for multiplying and dividing by negative numbers, and graphing on a number line, including open and closed circles and compound forms.

Review inequalities with middle variables, establish X between 10 and 40 and Y between 4 and 12, and compare X times Y to 45, highlighting flipping signs with negatives.

Explore how to solve absolute value inequalities by isolating the absolute value, splitting into positive and negative cases, and applying sign-flip rules on inequalities, with practice on number lines.

practice solving absolute value inequalities and plotting solutions on a number line, detailing isolation of the absolute value, sign flips when dividing by negatives, and using open or shaded circles.

Discover how functions describe the relationship between inputs and outputs, with f of x notation, domain and range, and the inside-out approach to compound functions.

Explore function practice with compositions F∘G and G∘F, solving for the constant C from G(4)=20, evaluating F and G, and applying the quadratic formula and foil method to quadratic equations.

Explore strange symbol functions in algebra, determine what each symbol represents, and substitute values for A and B. Solve inside-out for compound symbols by evaluating the parentheses first.

Practice evaluating strange symbol functions through guided substitution and stepwise evaluation of down-arrow expressions, yielding results such as 24 and 91.

Learn how simple and compound interest work, with principal, rate, and time, and compare their formulas through practical examples.

Apply the compound and simple interest formulas to real loans. Compare totals and interest outcomes when compounding quarterly versus simple interest.

Identify patterns in sequences to distinguish direct and recursive types, convert to a formula, and predict terms using n, not the prior values, while avoiding unnecessary work.

Explore sequences practice by applying recurrences and rules: compute B_n from B_{n-1} with four times minus three, derive a quadratic H_n, and identify a_n from a_{n-1} to predict next terms.

Explore the coordinate plane, plot points with ordered pairs, learn x and y intercepts, and apply the distance formula to find distances between points.

Review exercises on graphing and slope: plot ordered pairs, compute slope, and graph y = (3/4)x - 4.5, identifying the intercepts and distance between points using the distance formula.

Learn how to determine the intersection of lines using slope-intercept form, plot points, and solve for the ordered pair, while identifying parallel lines.

Solve intersections of linear equations by converting to slope-intercept form, equating expressions, and solving for x and y, while identifying parallel lines by slopes, and verify intersections.

Graph inequalities with shaded regions using solid or dashed lines, and graph absolute values, vertex location, and slope-intercept form considerations.

Practice graphing inequalities and absolute value functions by plotting intercepts and slopes, shading regions above the lines, checking points, and identifying absolute value vertices.

Explore how to graph quadratics by identifying parabolas, their axis of symmetry, and intersections; learn to convert to vertex form via completing the square and locate the vertex.

Equate the equations to find quadratic intersections, producing points like (2,2) and (3,7). Complete the square to identify vertices such as (-4,-1) and (-2,-4) for quick graphing.

Apply the rate-time-distance formula to solve problems with units, speeds, and distance. Analyze motions towards, away, or in the same direction, and compute average rates from total distance and time.

Practice rate problems involving relative speed, distance-time-rate calculations, pursuit scenarios, and multi-segment average speed calculations.

Learn to translate word problems into algebraic expressions and equations by identifying keywords, formulating equations, and using substitution to solve for unknowns, with real-world examples.

Translate word problems into algebraic equations, solve for unknowns, and manage unit conversions across exercises on cleaning time, fruit counts, and bacterial growth.

Learn to distinguish part-to-part and part-to-whole ratios, keep totals implicit, and compute percentages from ratios, including combining multiple ratios for complex problems.

Explore practical ratio problems, including sugar-to-butter and water-to-butter scenarios, convert units, and solve for unknowns using proportions and cross-multiplication.

Learn the mean, a central-tendency measure, and its key formula: mean equals sum divided by total items, with weights in the weighted average.

Review how to compute a data set mean, solve for unknowns, and apply weighted averages. Explore the median rule for evenly spaced data with real-world examples.

Explore how the median, one of the three measures of central tendency, identifies the middle value by ordering data and averaging the two center numbers for even data.

review mean and median calculations, including averaging the two middle numbers for even data sets and the mean–median property of evenly spaced data, with practice exercises.

Learn how the mode, a measure of central tendency, identifies the most frequent value in data sets, including cases with multiple modes or no mode.

Explore mean, median, and mode by solving practice data sets, listing numbers in order, identifying the middle value, and determining the most frequent number.

Explore sets and range by identifying evenly spaced, consecutive integer, and consecutive multiple sets, and learn how the mean equals the median for evenly spaced sets.

Explore evenly spaced data sets where the mean equals the median while practicing mean, median, mode, range, and sums.

Learn how percentiles divide a data set and how to order data to identify the 20th percentile. Apply the median to find exact percentile values and understand quartiles.

Review percentile and quartile concepts by calculating 20th, 40th, 60th, and 80th percentiles, identifying quartiles, and determining top 20% scores using mean values.