Algebra Practice & Interactive Quizzes

Interactive algebra practice drills and quizzes with step-by-step solutions. Solve linear equations, inequalities, polynomials, and systems with confidence.

19 practice topics available

Combining Like Terms

Identify and combine like terms in algebraic expressions by grouping terms with matching variable parts and adding their numerical coefficients.

Equations with Distributive Property

Expand expressions with parentheses using the distributive property a(b + c) = ab + ac, and solve the resulting linear equation.

Distributive Property

Apply the distributive property a(b + c) = ab + ac to expand algebraic expressions containing parentheses and simplify resulting like terms.

Evaluating Algebraic Expressions

Substitute specific numerical values for variables in algebraic expressions and compute the numerical result following the proper order of operations (PEMDAS).

Laws of Exponents (Product & Quotient)

Apply the product rule (xᵃ · xᵇ = xᵃ⁺ᵇ), quotient rule (xᵃ / xᵇ = xᵃ⁻ᵇ), and power rule ((xᵃ)ᵇ = xᵃᵇ) to simplify exponential expressions.

Finding Slope from Two Points

Calculate the slope of a line passing through two given coordinate points (x₁, y₁) and (x₂, y₂) using the slope formula m = (y₂ − y₁) / (x₂ − x₁).

Identifying X and Y Intercepts

Find the x-intercept and y-intercept of a linear equation by setting y = 0 and x = 0 respectively, and express solutions as coordinate pairs.

Solving for X (Linear Equations)

Master solving one-step and two-step linear equations by using inverse operations to isolate the unknown variable, handling negative coefficients and fraction bars.

One-Step Addition & Subtraction Equations

Solve one-step equations involving addition and subtraction by applying inverse operations to isolate the variable on one side of the equals sign.

One-Step Equations

Solve one-step linear equations involving addition, subtraction, multiplication, and division by isolating the variable using single inverse operations.

Solving One-Step Inequalities

Solve one-step linear inequalities using inverse operations, and state the solution set using correct inequality symbols (<, ≤, >, ≥).

One-Step Multiplication & Division Equations

Solve one-step equations involving multiplication and division by applying inverse operations to isolate the variable.

Quadratic Equations Practice

Master solving quadratic equations in standard form (ax² + bx + c = 0) by factoring trinomials, applying the Zero Product Property, and identifying parabola roots.

Scientific Notation Operations

Convert very large and very small numbers between standard decimal form and scientific notation a × 10ᵇ, where 1 ≤ a < 10 and b is an integer.

Simplifying Expressions Practice

Master simplifying algebraic expressions by applying the distributive property to eliminate parentheses, grouping and combining like terms, and ordering terms in standard polynomial form.

Graphing Linear Equations (y = mx + b)

Identify the slope (m) and y-intercept (b) from a linear equation written in slope-intercept form y = mx + b, and graph the line.

Finding the Slope of a Line

Calculate the slope of a line from two points using m = (y2 − y1) / (x2 − x1) and interpret steepness.

Two-Step Equations Practice

Solve two-step linear equations of the form ax + b = c and ax − b = c by applying inverse operations in reverse order of operations (undo addition/subtraction, then undo multiplication/division).

Variables on Both Sides

Solve linear equations of the form ax + b = cx + d by collecting variable terms onto one side, isolating constant terms on the other, and dividing by the coefficient.