Mathematics Topic

Algebra Review

  1. Read notes
  2. Flashcards
  3. Quiz
  4. Confident

Study focus - 3 things

  1. Algebra uses letters to represent unknown or changing numbers
  2. Simplifying expressions means collecting like terms and using operations correctly
  3. Solving equations means finding the value that makes the statement true

Section 1Algebra basics

In algebra, letters stand for numbers. An expression like 3x + 5 has no equals sign, so it can be simplified but not solved. An equation like 3x + 5 = 20 can be solved because it has an equals sign.

Section 2Like terms

Like terms have the same letter part, such as 4x and 7x. You can add them to get 11x. Watch out: 4x and 4y are not like terms because the letters are different.

Section 3Solving equations

To solve an equation, do the opposite operation to both sides. Here's the trick: keep the equation balanced like two sides of a scale. If you subtract 5 from one side, subtract 5 from the other side too.

Section 4Checking answers

After solving, substitute your answer back into the original equation. If both sides match, your answer works. This is a powerful way to catch small sign errors.

Examples

Simplify 5x + 3x - 2.

Combine like terms: 5x + 3x = 8x. The answer is 8x - 2.

Solve 2x + 7 = 19.

Subtract 7 from both sides: 2x = 12. Divide by 2: x = 6.

Now let's water it

Session runs notes to flashcards to quiz back-to-back.