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Integrated Math I Objective: Solve one-step linear equations in one variable with strategies involving inverse operations and integers DEFINITIONS Term: a number, variable or the product or quotient of a number and a variable. 12 X 2w 𝒄 𝟑 Terms are separated by addition (+) or subtraction (-) signs. 3a – 2/5b + 7x – 4z + 52 How many Terms do you see? 5 HOW MANY TERMS DO YOU SEE? 1) 𝟐𝒙𝟐 + 1 2 terms 2) 9x – r + 6y + 90 3) 𝟓𝒙 + 𝒙𝟑 + 4 4) 19x𝒚𝟐 z 4 terms 3 terms 1 term DEFINITIONS Constant: a term that is a number without a variable. Coefficient: the number value in front of a variable in a term. 3x – 6y + 18 = 0 What are your coefficients? What is your constant? 18 3 , -6 WHAT IS YOUR COEFFICIENT, WHAT IS YOUR CONSTANT? 7x – 8y – 12 = 0 Coefficient Constant 7 and -8 -12 SOLVING ONE-STEP EQUATIONS: • A one-step equation means you only have to perform one mathematical operation to solve it. • You can add, subtract, multiply or divide to solve a one-step equation. Example 1 Solving an addition equation: t + 7 = 21 -Draw a line down the equal sign to separate the equation into two parts. -Get rid of the 7 by doing the opposite operation to both sides of the equation. t + 7 = 21 -7 -7 t = 14 Example 2 Solving a subtraction equation: g – 6 = 40 Get rid of the 6 by doing its opposite operation to both sides of the equation. g – 6 = 40 +6 +6 g = 46 Example 3 Solving a multiplication equation: 8n = 32 Get rid of the 8 by dividing both sides of the equation by 8. Here we “undo” multiplication by doing the opposite – division. 8n = 32 8 8 n=4 Example 4 Solving a division equation: k / 9 = 11 Get rid of the 9 by using the opposite operation which is multiplication. k / 9 = 11 x9 x9 k = 99