Name:________________________________________________________________________________Date:_____/_____/__________ x - (-3) = -1 x = ___ x + 2 = 1 x = ___ (-30) + x = = x + 4 x – 27 = -26 = x – (-36)

Today’s Lesson: What: One-step equations (multiplication/ division) Why: To solve multiplication and division one-step equations. What: One-step equations (multiplication/ division) Why: To solve multiplication and division one-step equations.

1) 3x = 15 Modeling Multiplication equations: 2) 4x = 16 If 3 “x’s” are 15, then how much would one “x” be?? x = 5 x = 4

To solve a multiplication equation, we perform the _______________________________ operation. In other words, we ________________________________ on both sides of the equation!!! example: 5x = x = -11 inverse DIVIDE Find the # with “x.” This is the coefficient. Then, DIVIDE on both sides by that # !! Multiplication equations:

Guided examples: 3)-80 = -8x 4)- x = 75 x = 10 x = -75

YOUR TURN: 6)-40x = 80 5)- x = -12 7)90 = 3x x = 12 x = -2 x = 30 Divide on both sides!

To solve a division equation, we perform the _______________________________ operation. In other words, we ________________________________ on both sides of the equation!!! Division equations: inverse MULTIPLY Find the # with “x.” Then, MULTIPLY on both sides by the “flip” (multiplicative inverse)

Guided examples: 2) 1) x = 120 x = 150

YOUR TURN: 4) 3) 5) x = 30 x = 64 x = -63 Multiply on both sides!

Equations with a fraction: x = 9 x = -10 x = 12 YOUR TURN:

Homework/ practice Due by next class! IXL: 7 th Grade, T.5

END OF LESSON The next slides are student copies of the handouts and/or supporting materials for this lesson. These were handed out in class and filled-in as the lesson progressed.

1) 3x = 15 2) 4x = 16 Math-7 NOTES DATE: ______/_______/_______ What: One-step equations (multiplication/ division) Why: To solve multiplication and division one-step equations. What: One-step equations (multiplication/ division) Why: To solve multiplication and division one-step equations. NAME: Divide on both sides! Modeling Multiplication equations: Guided examples: 3) -80 = -8x4)- x = 75 To solve a multiplication equation, we perform the ______________________ operation. In other words, we ________________________________ on both sides of the equation!!! example: 5x = x = -11 YOUR TURN: 5) - x = -126)-40x = 807) 90 = 3x Find the # with “x.” This is the coefficient. Then, DIVIDE on both sides by that # !!

MULTIPLY on both sides! Guided examples: 1)2) To solve a division equation, we perform the _______________________________ operation. In other words, we ________________________________ on both sides of the equation!!! Find the # with “x.” Then, MULTIPLY on both sides by that # !! YOUR TURN: 3)4)5) Equations with a fraction (guided examples): Division equations: YOUR TURN: IXL: 7 th Grade, T.5

Math-7 individual practice NAME:_______________________________________________________________________________DATE: _____/_____/__________ 1) -4x = 242) -81 = 9x3) -7x = -42 4) 63 = 7x5) 12x = -486) 77 = -11x Complete the following MULTIPLICATION one-step equations. Remember, to solve a multiplication equation, we DIVIDE (inverse operation) on both sides!! Complete the following DIVISION one-step equations. Remember, to solve a division equation, we MULTIPLY (inverse operation) on both sides!! The below is a mixture of BOTH multiplication and division equations. Decide which type each equation is, and solve (using above methods). 13) 15x = -3014) -10x = ) 50 = 5x

Complete the following one-step equations with FRACTIONS. Remember, we MULTIPLY on both sides by the INVERSE (flip) of each fraction!!