# Pre-Algebra Help | Free Pre Algebra Lessons & Practice Problems

Go through the lessons and practice problems below to help you learn Pre-Algebra and excel in school. We’ll track your progress and help you identify your strengths and weaknesses. Our Free Pre-Algebra Lessons is available to everyone, but you need to create an account in order to access the practice questions and track your progress.

### Lesson: Adding and Subtracting Real Numbers

Example: Evaluate $5 - (-3)$

### Lesson: Factors

Example: What are the factors of 28?

### Lesson: Greatest Common Factor (GCF)

Example: What is the greatest common factor of 48 and 32?

### Lesson: Least Common Multiple (LCM)

Example: What is the least common multiple of 6 and 8?

### Simplifying Fractions

Example: Simplify. Write your answer as a mixed number when possible. $\dfrac{18}{27}$

### Converting Fractions and Decimals

Example: Write $8\dfrac{3}{8}$ as a decimal

### Writing Numbers with Words

Example: Write two hundred forty five million, three hundred six, seventy five as a number.

### Lesson: Multiplying and Dividing

Example: What is $9 \times -3$?

### Lesson: Writing Algebraic Expressions

Example: Write the sum of nine and eighteen mathematically.

### Lesson: Order of Operations

Example: Evaluate $3 + 3 + 3 \div 3$

### Combining Like Terms

Example: Simplify $2x - 9 + 5x -3$

### Lesson: Using the Distributive Property

Example: Distribute $5(x - 9)$

### Lesson: One-Step Equations

Example: Solve for $x$.
$4x=24$

### Two-Step Equations

Example: Solve for $x$.
$3x-4=17$

### Lesson: Multi-Step Equations

Example: Solve for $x$.
$5(2x-4) = 10$

### Divisibility

Example: 9,432 is divisible by which of the following?

### Lesson: Properties of Exponents

$5x^3 \times 3x^2$

### Lesson: Writing Scientific Notation

Example: Write 82,300,000 in scientific notation.

### Lesson: Operations with Scientific Notation

$(5.4 \times 10^8) \times (3 \times 10^{-2})$

### Checking for a Proportion

Example: State if the pair of ratios forms a proportion.
$\dfrac{5}{8}$ and $\dfrac{10}{13}$

### Lesson: Solving Proportions

Example: Solve for $x$.
$\dfrac{5}{x} = \dfrac{12}{14}$

### Drawing and Measuring Angles

Example: Select the angle that measures $120^o$.

### Angle Relationships

Example: Name the relationship between the two labeled angles: complementary, supplementary, vertical, adjacent, alternate interior, corresponding, or alternate exterior.

### Triangles

Example: Classify each triangle by its angles and sides.

Classify each quadrilateral by its angles its sides.
Example:

### Area of Triangles and Quadrilaterals

Example: Find the area of the figure below.

### Circles

Example: Find the area of the circle below.

### Classifying Solid Figures, Volume, and Surface Area

Example: Calculate the surface area of the figure below.

### Squares and Square Roots

Example: Evaluate $\sqrt{121}$

### Lesson: The Pythagorean Theorem

Example: Find the missing length to the nearest tenth.

### Lesson: The Distance Formula

Example: Find the distance between the points (-2, 4) and (5, 12).

### Lesson: Adding and Subtracting Polynomials

Example: Simplify $(3x^2 + 4x - 9) + (-2x^2 - 12x + 18)$

### Lesson: Multiplying Binomials

Example: Simplify $(5x +7)(3x - 8)$

### Lesson: Box-and-Whisker Plot

Example: Draw a dot plot for the data set below.
Example: Draw a box-and-whisker plot for the data set below.