Algebra 1
81 lessons · 1726 problems solved step by step
- Evaluate expressions · put numbers in for letters (22 problems)
- Parts of an expression · terms, coefficients, constants (21 problems)
- Words to expressions (22 problems)
- Simplify expressions · like terms, open brackets (22 problems)
- Equivalent expressions · simplify, compare, check with a number (20 problems)
- Linear equations · one step, two steps, letter on both sides (24 problems)
- Linear equations · brackets, fractions, decimals, no solution, every number (24 problems)
- Proportions (20 problems)
- Direct and inverse variation (21 problems)
- Literal equations · rearrange a formula (23 problems)
- Changing the subject when it appears twice (20 problems)
- Inequalities · one and two steps, number line (24 problems)
- Compound inequalities · and, or (22 problems)
- Compound inequalities with and / or (23 problems)
- Absolute value equations (21 problems)
- |u| = |v| equations (22 problems)
- Absolute value inequalities (22 problems)
- Coordinate plane · plotting points (20 problems)
- Quadrants (21 problems)
- Polygons on the grid · side lengths from the corners, perimeter, area (20 problems)
- Slope from two points (22 problems)
- Graphing y = mx + b (20 problems)
- Graphing with a table (20 problems)
- Linear or not · the same change for each 1 of x; x only to the power 1 (21 problems)
- Equation of a line from a table or a story · rate of change, start value, y = mx + b (20 problems)
- Compare two functions · rate of change and start value from an equation, a table or two points (20 problems)
- Distance-time graphs · speed = slope, flat = stopped (20 problems)
- Speed-time graphs · acceleration = slope, distance = area (20 problems)
- Equation of a line through two points (22 problems)
- Checking a solution (25 problems)
- Systems of equations · substitution, elimination (22 problems)
- Solving by substitution (21 problems)
- Three equations in x, y, z (20 problems)
- Exponent rules (22 problems)
- Scientific notation (20 problems)
- From scientific notation (21 problems)
- Polynomials · add, subtract, multiply brackets (20 problems)
- Expanding three brackets (20 problems)
- Factoring (20 problems)
- Factoring completely (22 problems)
- Sum and difference of cubes (21 problems)
- Solving by factoring (20 problems)
- Factor by grouping (21 problems)
- Simplifying square roots (20 problems)
- Multiplying square roots (21 problems)
- Dividing square roots (21 problems)
- Square roots with letters (21 problems)
- Higher roots (24 problems)
- Rational exponents (23 problems)
- Rationalising a two-term bottom with its partner (22 problems)
- Quadratic equations · square root, factoring, formula (22 problems)
- Completing the square (20 problems)
- Completing the square with fractions (23 problems)
- The discriminant (23 problems)
- Choosing a method (23 problems)
- Quadratic word problems (21 problems)
- Sum and product of the roots · the equation from its roots (20 problems)
- Parabolas · graph and vertex (20 problems)
- Exponential growth and decay (20 problems)
- Linear or exponential (21 problems)
- Word problems part 1 · numbers, cost, consecutive, ages, perimeter (22 problems)
- Word problems part 2 · distance, two kinds with one total, two plans, ages then, price before a percent change (24 problems)
- Coin problems · how many of each coin, money in cents (20 problems)
- Price mixture · two items into one mix (20 problems)
- Work-rate · two people, one job, the whole job = 1 (20 problems)
- Word inequalities · at most, at least, a whole number answer (20 problems)
- Motion with an unknown speed · minutes to hours (20 problems)
- Simple interest · I = P × r × t (20 problems)
- Triangle-angle stories · the three angles make 180° (20 problems)
- Tickets with a link · two kinds, one link, all the money (20 problems)
- Work-rate · one person's time (20 problems)
- Percent mixtures (20 problems)
- Vertical and horizontal lines (22 problems)
- Graphing Ax + By = C (22 problems)
- Write Ax + By = C as y = mx + b (24 problems)
- Point-slope form (22 problems)
- Parallel and perpendicular lines (26 problems)
- Graphing inequalities (22 problems)
- Systems by graphing (22 problems)
- Systems of inequalities (21 problems)
- Linear programming · the best corner of the region (20 problems)