Lesson 2 Reteach. Solving Two-Step Equations. Example 1. Example 2. Exercises. Check. c - 13 = 7. c - 13 = 7. Check your solution.

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1 Lesson Reteach Solving Two-Step Equations A two-step equation contains two operations. To solve two-step equations, use inverse operations to undo each operation in reverse order of the order of operations. First, undo addition/subtraction. Then, undo multiplication/division. Solve c - =. your solution. Example c - = c = 0 c = 0 c = 0 Example (0) = Multiplication Property of Equality your solution. Solve y - y + =. your solution. y - y + = y + = - = - y = y - y + = () - () Combine like terms. + = = y= your solution. Solve each equation. your solutions.. t + =. x + =. 6.u - =.. m - =. m-= 6. k - = -. + a = c =. - h = g + = p =.. - c - =. q + = 6. - n=. v + = Math Accelerated Chapter Equations and Inequalities y c - = c - + = +

2 Lesson Reteach Solving Two-Step Equations A two-step equation contains two operations. To solve two-step equations, use inverse operations to undo each operation in reverse order of the order of operations. First, undo addition/subtraction. Then, undo multiplication/division. Solve c - =. your solution. Example c - = c = 0 c = 0 c = 0 Example (0) = Multiplication Property of Equality your solution. Solve y - y + =. your solution. y - y + = y + = - = - y = y - y + = () - () Combine like terms. + = = y= your solution. Solve each equation. your solutions.. t + =. m - = g + = - 0. q + = 6 6. m-= 6. k - = c =. - h = p =.. - n=. - c - = u - = a = -. x + =. v + = Math Accelerated Chapter Equations and Inequalities y c - = c - + = +

3 Lesson Reteach More Two-Step Equations Solving equations of the form p(x + q) = r, can be accomplished in one of two ways:. When p is a factor of the constant term, r, then: use the when p is a whole number or decimal. use the Multiplication Property of Equality when p is a fraction.. Regardless if p is or is not a factor of the constant term, r, you can use the Distributive Property. Example Solve the equation -(x + ) =. -(x + ) = -(x + ) = - - x + = - x + - = - - x = - Example Solve (d -0) = -6. Distributive Property Solve each equation.. (y + ) = 0. -(v - ) = 6. = (x - ). = (q + ). (n - ) = 6. (p + ) = -0 (k - ). 6 =. (c + ) =. 0.(g + ) = 0. (b - ) =. -6(d + ) = (a + ) =. Math Accelerated Chapter Equations and Inequalities (d - 0) = -6 d - 0 = -6 d = d = d = d=

4 Lesson Reteach More Two-Step Equations Solving equations of the form p(x + q) = r, can be accomplished in one of two ways:. When p is a factor of the constant term, r, then: use the when p is a whole number or decimal. use the Multiplication Property of Equality when p is a fraction.. Regardless if p is or is not a factor of the constant term, r, you can use the Distributive Property. Example Solve the equation -(x + ) =. -(x + ) = -(x + ) = - - x + = - x + - = - - x = - Example Solve (d -0) = -6. Distributive Property Solve each equation.. (y + ) = 0 -. = (q + ) (a + ) =.. = (x - ). (n - ) = 6. (p + ) = -0 - (k - ). 6 = -. -(v - ) = 6. (c + ) =. 0.(g + ) = 0. (b - ) = or 0. -6(d + ) = - - or - 6 Math Accelerated Chapter Equations and Inequalities (d - 0) = -6 d - 0 = -6 d = d = d = d=

5 Lesson Reteach Solving Equations with Variables on Each Side To solve equations with variables on each side, use the Addition or to write an equivalent equation with the variable on one side. Then solve the equation. Example Solve x - = x +. x - = x + x - x - = x - x + x - = x - + = + x = 6 x = 6 x= To check your solution, replace x with in the original equation. x - = x + () - () = Replace x with. The statement is true. Solve each equation. your solutions.. x + = x +. a + = + a. n + = n. - c= c b = 6b -. d - = d -.. f - = 6f s + = s +. y + = y 0. a-= a+6. n - = -n +. y + = -y x = x -. 6a - = + a. b - = + b Math Accelerated Chapter Equations and Inequalities

6 Lesson Reteach Solving Equations with Variables on Each Side To solve equations with variables on each side, use the Addition or to write an equivalent equation with the variable on one side. Then solve the equation. Example Solve x - = x +. x - = x + x - x - = x - x + x - = x - + = + x = 6 x = 6 x= To check your solution, replace x with in the original equation. x - = x + () - () = Replace x with. The statement is true. Solve each equation. your solutions.. x + = x n + = n. d - = d a-= a+6. + x = x c= c- 6. f - = 6f y + = y - or. a + = + a. n - = -n +. 6a - = + a - Math Accelerated Chapter Equations and Inequalities 6. - b = 6b -. -s + = s + -. y + = -y b - = + b

NAME DATE PERIOD. A negative exponent is the result of repeated division. Extending the pattern below shows that 4 1 = 1 4 or 1. Example: 6 4 = 1 6 4

NAME DATE PERIOD. A negative exponent is the result of repeated division. Extending the pattern below shows that 4 1 = 1 4 or 1. Example: 6 4 = 1 6 4 Lesson 4.1 Reteach Powers and Exponents A number that is expressed using an exponent is called a power. The base is the number that is multiplied. The exponent tells how many times the base is used as