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Transcript

Unit 1 Assignment 7 Notes 2.4 Solving Linear Equations Review: Identify each of the following as an equation or an expression: a) 3(2x – 5) + 4x – 1 b) 3(2x – 5) = 4x – 1 Solving Linear Equations SIMPLIFY 1. If there are fractions, multiply both sides of the equation by the LCD (Least Common Denominator) 2. If there are any parentheses, remove them by using the distributive property 3. Combine any like terms that are on the same side of the equation 4. Sort variables to one side and numbers (constants) to the other side of the equation by adding or subtracting terms. 5. Divide both sides by the coefficient of the variable. 6. Check your answer by substituting your solution into the original equation. Solve the following equations: 1. 0.2x + 0.1 = 0.9x – 4.1 2. – 9(x – 2) – 28 = – 10 Solve: 3. 9(5−𝑧) 8 = −𝑧 5. 7(x – 3) + 4 = 4x + 3(–4 + x) 4. 5 2 9 𝑦 + = 2𝑦 − 7 6 6. 0.07(4t + 4) = 0.28(t + 3) – 0.56 Write the following phrase as an algebraic expression. Use x for the unknown number. 7. A number subtracted from –10 8. The sum of – 8 and four times a number