Free math worksheets

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Worksheet

Order of operations

Evaluate expressions like 7 + 3 × 5 and (4 + 2) × 3. Harder sets add powers and a minus sign in front of a square.

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Fractions

Add, subtract, multiply and divide fractions, with answers in lowest terms.

Worksheet

One-step equations

Equations like x + 7 = 15, 4x = 28 and x/3 = 6: one move gets x alone.

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Two-step equations

Equations like 3x + 7 = 22: undo the adding or subtracting first, then the multiplying.

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Multi-step equations

Distributing, like 3(x − 4) = 9, and x on both sides, like 5x + 2 = 2x + 14.

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Combining like terms

Simplify expressions like 3x + 5 − 7x + 2. Harder sets add x² terms.

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Factoring trinomials

Factor x² + bx + c. Harder sets have a number in front of x².

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Slope from two points

Find the slope of the line through two points, as a whole number or a fraction in lowest terms.

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Systems of equations

Solve two equations in x and y together, by substitution or elimination.

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Solving inequalities

Solve inequalities like 3x + 5 < 20. Harder sets have a negative in front of x, which flips the sign.

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Solving quadratics by factoring

Solve x² + bx + c = 0 by factoring. Harder sets need moving a term across first.

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Pythagorean theorem

Find the missing side of a right triangle. Every answer is a whole number. Harder sets ask for a leg too.

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Percentages

Percent of a number and what percent one number is of another. Harder sets add percent change and discounts.

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Solving proportions

Solve a/b = c/x for the missing number by cross-multiplying. Harder sets put x anywhere.

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Exponent rules

Simplify powers: multiplying, dividing, and powers of powers. Harder sets add numbers in front.