Solving Equations Inverse Operations Inverse means opposite An

Solving Equations

Inverse Operations • Inverse means opposite. An inverse operation means to do the opposite of the operation that you see in an equation to solve for the variable. • Example: 2 + x = 5 – When solving an equation, always try to get the variable by itself. In this example, the number 2 is on the same side as x so we need to get rid of the 2. Is 2 positive or negative?

Using the Inverse Operations to Solve Equations • Example: 2 + x = 5 • Since 2 is positive, the opposite or inverse is to subtract it to get rid of it.

Using the Inverse Operations to Solve Equations • Example: 5 • x = 50 – What operation is being used on the side of the equation where the variable is? – What is the opposite of that operation? – http: //www. brainpop. com/math/algebra/equati onswithvariables/preview. weml Video

Practice 1) r ÷ 6 = 12 2) 3 • t = 15 3) 6 + m = 18 4) 27 = n - 3 r = 72 t=5 m = 12 n = 30

Distributive Property • Multiply what is on the outside of the parentheses by what is on the inside. Then add the values inside the parentheses • Example: 4(12 + 3) – Multiple the outside by what is on the inside. – The values you get are 48 and 12. – Then add the values together. 48 + 12 = 60 – 60 is your answer.

Practice 1) 3(5 + 2) 2) 12(6 + 4) 3) 5(x + 3) 4) 2(r + 3 r) 21 120 5 x + 15 8 r http: //www. brainpop. com/math/numbersandoperati ons/distributiveproperty/preview. weml • Video then Quiz as a Class (use corners of the class or white boards to see students answers)

Solving Inequalities • An inequality uses one of the following symbols: >, <, ≤, ≥, ≠ • An inequality is solved similarly to an equation. • http: //www. brainpop. com/math/dataanalysis/ineq ualities/ • Video and Quiz

Practice • Read p. 601 -603 in text book • Take notes on the vocabulary words in bold. • Try problems 1 -10 on page 603 and 604. • Review answers.

Text Book Answers 1. x > 14 2. x ≤ 45 3. x ≥ 15 4. x > 15 5. x ≤ 12 6. x ≥ 165 7. x < 2 8. x > 4 9. x ≤ -3 10. x ≥ 7