Step-by-Step Math Examples

Solve x² − 5x + 6 = 0 Step by Step

Solve the quadratic equation: x² − 5x + 6 = 0

Solve 2x² + 7x − 15 = 0 Step by Step

Solve the quadratic equation: 2x² + 7x − 15 = 0

Quadratic Formula Example

Solve using the quadratic formula: x² + 2x - 8 = 0

Linear Equations Examples

Solve 3x + 7 = 22 Step by Step

Solve for x: 3x + 7 = 22

3 stepsView Solution

Solve Linear Equation Step by Step

Solve for x: 2(x - 3) = 4x + 6

Fractions Examples

Add 2/3 + 3/4 Step by Step

Calculate: 2/3 + 3/4

Add Fractions Step by Step

Add the fractions: 1/4 + 2/3

Subtract Fractions Step by Step

Subtract the fractions: 5/6 - 1/4

Multiply Fractions Example

Multiply the fractions: 2/3 × 4/5

Divide Fractions Example

Divide the fractions: 3/4 ÷ 2/5

Decimals Examples

Adding Decimals Step by Step

Add: 12.45 + 3.8

Percentages Examples

Percentage Calculation Example

What is 35% of 240?

Percentage Increase Example

A shirt's price increased from $40 to $52. What is the percentage increase?

Ratios Examples

Ratio Problem Example

Share $120 between Alex and Beth in the ratio 3:5. How much does each person get?

Pythagorean Theorem Examples

Find the Hypotenuse (3-4-5 Triangle)

A right triangle has legs of length 3 and 4. Find the length of the hypotenuse.

Pythagorean Theorem Example

A right triangle has one leg of 5 cm and a hypotenuse of 13 cm. Find the other leg.

Quadratic Equations Examples

Factor Quadratic Equations

Factor: x² + 5x + 6

Exponents Examples

Exponent Rules Example

Simplify: (2³ × 2⁴) ÷ 2² × (2²)³

Square Roots Examples

Square Root Example

Simplify: √72

Algebraic Expressions Examples

Simplify Algebraic Expressions

Simplify: 3(2x - 4) + 5x - 2

Inequalities Examples

Solving Inequalities Example

Solve and graph: -3x + 7 > 16

Slope of a Line Examples

Slope Example: Finding Slope Between Two Points

Find the slope of the line passing through points (2, 3) and (6, 11).

Area Formulas Examples

Area of Rectangle Example

Find the area of a rectangle with length 12 cm and width 7 cm.

Area of Triangle Example

Find the area of a triangle with base 10 m and height 6 m.

Volume Examples

Volume of Rectangular Prism Example

Find the volume of a box with length 8 cm, width 5 cm, and height 3 cm.

Mean, Median, Mode Examples

How to Find the Mean (Average)

Find the mean of: 12, 15, 18, 21, 24

Probability Examples

Probability Example

A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. What is the probability of randomly picking a blue marble?

Number Sequences Examples

Number Sequence Example

Find the pattern and next two terms: 3, 7, 11, 15, 19, ...

Linear Functions Examples

Graph a Linear Function

Graph the linear function: f(x) = 2x - 3

Systems of Equations Examples

System of Equations Example

Solve the system: y = 2x + 1 and 3x + y = 11

Solve x² − 5x + 6 = 0 Step by StepSolve the quadratic equation: x² − 5x + 6 = 0

All Examples

Solve 2x² + 7x − 15 = 0 Step by StepSolve the quadratic equation: 2x² + 7x − 15 = 0

Solve 3x + 7 = 22 Step by StepSolve for x: 3x + 7 = 22

Find the Hypotenuse (3-4-5 Triangle)A right triangle has legs of length 3 and 4. Find the length of the hypotenuse.

Add 2/3 + 3/4 Step by StepCalculate: 2/3 + 3/4

Add Fractions Step by StepAdd the fractions: 1/4 + 2/3

Subtract Fractions Step by StepSubtract the fractions: 5/6 - 1/4

Multiply Fractions ExampleMultiply the fractions: 2/3 × 4/5

Divide Fractions ExampleDivide the fractions: 3/4 ÷ 2/5

Adding Decimals Step by StepAdd: 12.45 + 3.8

Percentage Calculation ExampleWhat is 35% of 240?

Solve Linear Equation Step by StepSolve for x: 2(x - 3) = 4x + 6

Quadratic Formula ExampleSolve using the quadratic formula: x² + 2x - 8 = 0

Factor Quadratic EquationsFactor: x² + 5x + 6

Simplify Algebraic ExpressionsSimplify: 3(2x - 4) + 5x - 2

Exponent Rules ExampleSimplify: (2³ × 2⁴) ÷ 2² × (2²)³

Square Root ExampleSimplify: √72

Pythagorean Theorem ExampleA right triangle has one leg of 5 cm and a hypotenuse of 13 cm. Find the other leg.

Area of Rectangle ExampleFind the area of a rectangle with length 12 cm and width 7 cm.

Area of Triangle ExampleFind the area of a triangle with base 10 m and height 6 m.

Volume of Rectangular Prism ExampleFind the volume of a box with length 8 cm, width 5 cm, and height 3 cm.

Slope Example: Finding Slope Between Two PointsFind the slope of the line passing through points (2, 3) and (6, 11).

Graph a Linear FunctionGraph the linear function: f(x) = 2x - 3

How to Find the Mean (Average)Find the mean of: 12, 15, 18, 21, 24

Probability ExampleA bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. What is the probability of randomly picking a blue marble?

Number Sequence ExampleFind the pattern and next two terms: 3, 7, 11, 15, 19, ...

System of Equations ExampleSolve the system: y = 2x + 1 and 3x + y = 11

Solving Inequalities ExampleSolve and graph: -3x + 7 > 16

Ratio Problem ExampleShare $120 between Alex and Beth in the ratio 3:5. How much does each person get?

Percentage Increase ExampleA shirt's price increased from $40 to $52. What is the percentage increase?