Pre-Algebra Practice
Variables, expressions, and equations
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Featured Pre-Algebra Practice
Grade 7 Pre-Algebra
Practice grade 7 pre-algebra with one-step equations. Seventh grade introduces formal equation solving using inverse operations.
Grade 7 Pre-Algebra
Practice grade 7 pre-algebra with two-step equations. Seventh grade develops fluency with multi-step equation solving.
Grade 8 Equations Practice
Practice grade 8 equations with multi-step problems involving distribution and combining like terms. Eighth grade develops mastery of algebraic equation solving.
Grade 8 Linear Equations
Practice grade 8 linear equations focusing on slope and y-intercept. Eighth grade introduces the slope-intercept form of linear equations.
Solving for X
Practice solving basic one-step equations for x. These fundamental equation-solving skills use inverse operations to isolate the variable.
Two-Step Equations Practice
Practice solving two-step equations that require two inverse operations. First, add or subtract to isolate the term with the variable, then multiply or divide to solve.
Distributive Property Practice
Practice the distributive property: a × (b + c) = a × b + a × c. This property lets you break apart multiplication problems to make them easier to solve mentally.
Solving One-Step Inequalities Practice
Practice solving one-step inequalities using inverse operations. Remember: when multiplying or dividing by a negative number, flip the inequality sign.
Simplifying Algebraic Expressions Practice
Practice simplifying algebraic expressions by combining like terms. Like terms have the same variable raised to the same power.
Evaluating Algebraic Expressions Practice
Practice evaluating algebraic expressions by substituting given values for variables. Replace each variable with its value and calculate the result.
One-Step Linear Equations Practice
Practice solving one-step linear equations using inverse operations. To undo addition, subtract. To undo multiplication, divide.
Two-Step Linear Equations Practice
Practice solving two-step linear equations. First, add or subtract to isolate the term with the variable, then multiply or divide to solve.
Finding Slope from Two Points Practice
Practice finding the slope between two points using the formula: slope = (y₂ - y₁) / (x₂ - x₁). Slope measures steepness and direction of a line.
Slope-Intercept Form Practice
Practice with slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept. Learn to identify these values and write equations.
Simple Systems of Equations Practice
Practice solving simple systems of two linear equations. Use substitution or elimination to find the values of both variables.
Function Notation Practice
Practice evaluating functions using function notation f(x). Substitute the given input value for x and calculate the output.
Domain and Range Practice
Practice identifying domain (input values) and range (output values) of functions. Domain is all x-values; range is all y-values.
Grade 7 Expressions Practice
Practice writing and evaluating algebraic expressions for seventh grade. Translate words to symbols and substitute values to evaluate.
Grade 7 Equations Practice
Practice solving multi-step equations for seventh grade. Combine like terms, distribute, and use inverse operations to isolate the variable.
Free Pre-Algebra Practice
Pre-algebra is where math stops being just numbers and starts using letters. Evaluating expressions means substituting a value for the variable and computing the result — the simplest skill in algebra and the one everything else builds on. Each problem here gives a value of x and asks your student to plug it in. Watch for two common errors: forgetting order of operations (PEMDAS still rules), and mixing up signs when the expression has subtraction. Once these feel automatic, solving simple equations is the next short step.
Free Algebra Expressions Practice
Combining like terms is the algebra equivalent of organizing a messy drawer — you put the x's with the x's and the constants with the constants. This practice strips out distracting fractions and exponents so your student focuses purely on the grouping skill. The mental rule: 3x and 5x are like terms (both have x); 3x and 5 are not (one has a variable, one doesn't). Once like-terms grouping is automatic, distributing through parentheses and solving multi-step equations are tiny incremental steps from here.
Simple Equations Practice
Solving simple equations is where pre-algebra finally pays off. The whole game is to isolate x by doing the same thing to both sides — undo addition with subtraction, undo multiplication with division. These problems mix one-step and two-step equations so your student gets reps on the order of operations in reverse (subtract before dividing, like peeling an onion from the outside in). Always plug the answer back into the original equation to verify; that habit catches careless errors and builds genuine algebra confidence.
About Pre-Algebra
Pre-algebra introduces variables and equations, preparing students for high school algebra. Students learn to work with unknowns, evaluate expressions, and solve for x.