Basic Algebra/Introduction to Basic Algebra Ideas/Chapter Review

Lesson 1. Simple Operations An operation is a thing you do to numbers. You use signs like: +, –, ×, or ÷ for operations. The Equals Sign is not an operation. Adding Adding is a way to put two numbers together. 1 + 2 = 3 Subtracting Subtracting is a way of taking a number out from another number. 2 – 1 = 1 Multiply Multiplying is a way of adding a number many times 3 × 2 = 6 Dividing Dividing is a way of subtracting a number many times. 6 ÷ 2 = 3 Example Problems 2 + 1 = 3 8 + 2 = 10 8 – 4 = 4 5 – 2 = 3 6 × 2 = 12 2 × 3 = 6 12 ÷ 6 = 2 4 ÷ 2 = 2 Back to lesson Lesson 2. Exponents and Powers Exponent is the number on the top that shows. Base is the number to be multiplied by itself. Example Problems 62 = 36 23 = 8 42 = 16 53 = 125 24 = 16 Back to lesson Lesson 3. Order of Operations Math problems are done in this order from top to bottom: Parenthesis ( ) Exponent ^ Multiply ×, Divide ÷ (Left to Right) Add +, Subtract – (Left to Right) Example Problem Original problem. Do parenthesis first. Do exponent. Add. Answer Back to lesson Lesson 4. Working With Negative Numbers A positive number is a number more than zero. A negative number is a number less than zero. A easy way to know if the answer is correct on multiplication and division is by remaining this. If a negative is there will a positive then negative, but if there 2 then positive. Example Problems 6 + (–3) = 3 3 + (–9) = –6 –4 × 4 = -16 4 × (–9) = -36 –2 × (–4) = 8 Back to lesson Lesson 5. Solving Equations Using Properties of Mathematics It is very important to show math in the simplest way. For example, 5/10 is the same as 1/2, but 1/2 is better because it is easier to understand. The simplest answer is usually the best. Example Problems Find when Back to lesson Basic Algebra Chapter Review Solving Equations Using Properties of Mathematics Chapter Test