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➗ Pre-Algebra

Master the bridge from arithmetic to algebra: integers, order, and variables.

3
lessons
~30 min
to learn
🔢 Math
subject
Teens
level
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What you’ll learn

  1. Compare, add, subtract, and multiply integers and interpret absolute value.Integers extend whole numbers to include negatives on a number line. Sign rules govern all four operations, and absolute value measures distance from zero regardless of direction.
  2. Apply order of operations and convert among fractions, decimals, percents, and exponents.PEMDAS fixes a universal order for evaluating expressions. Fractions, decimals, and percents are interchangeable forms, and exponents are shorthand for repeated multiplication.
  3. Interpret variables, evaluate expressions, combine like terms, and distribute.Variables stand for unknown numbers. Evaluating substitutes values, while combining like terms and the distributive property simplify expressions in preparation for solving equations.

Questions this course answers

Which value is greater, -5 or -1?

On the number line -1 sits to the right of -5, and numbers farther right are greater.

What is -4 + (-6)?

Adding two negatives makes the result more negative: -4 + (-6) = -10.

What is the absolute value of -12?

Absolute value is distance from zero, which is never negative, so it is 12.

Using order of operations, what is 2 + 3 x 4?

Multiplication comes before addition, so 3 x 4 = 12, then 2 + 12 = 14.

In the term 7x, what is the coefficient?

The coefficient is the number multiplying the variable, which is 7.

Simplify 5x + 3x.

Both are like terms with x, so add coefficients: 5 + 3 = 8, giving 8x.

Grounded in trusted sources

  • Order of Operations, Wikipedia, https://en.wikipedia.org/wiki/Order_of_operations
  • Order of Operations (PEMDAS), Math is Fun, https://www.mathsisfun.com/operation-order-pemdas.html
  • PEMDAS Explained: Order of Operations in Math, Statistics By Jim, https://statisticsbyjim.com/basics/pemdas-order-of-operations/
  • Prealgebra, OpenStax (Marecek & Mathis, 2020), https://openstax.org/details/books/prealgebra-2e

Every Wunder lesson is built from real, reputable sources — never invented.

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