SOL 7.14: Solving Multiplication Equations Review: Use the following to answer the questions: 6x + 5 – 3y = 12 1) Is it an equation, expression or an inequality? ___________________ How do you know? ________________________________________ 2) Identify the term(s): _______________________________________ 3) Identify the variable(s): _____________________________________ 4) Identify the constant(s): ____________________________________ 5) Identify the coefficient(s): ___________________________________ Review: Equations must be in ______________________, like a scale. How would you solve this equation? x – 4 = 12 Use the _______________ operation to undo the _______________. Division Property of Equality: If you ____________ each side of an equation by the same ______________ number, the two sides remain __________. 1. 2x = -8 ● What is the coefficient in this equation? _____ ● What is the opposite(inverse) of multiplying by 2? __________ ● Use the division property of equality: ________ both sides of the equation by ____. ● x = _____ Check: 2x = -8 Replace the ___________________ with the ________________. 2( ) = -8 2. -5m = 40 ● What is the coefficient in this equation? _____ ● What is the opposite(inverse) of multiplying by -5? ________ ● ________ both sides of the equation by ____. ● m = _____ Check: -5m = 40 -5( ) = 40 3. 30 = 6n ● What is the coefficient in this equation? _____ ● What is the opposite(inverse) of multiplying by 6? __________ ● ________ both sides of the equation by ____. ● n = _____ Check: 30 = 6n 30 = 6( ) 4. 1.2x = -4.8 ● What is the coefficient in this equation? _____ ● What is the opposite(inverse) of multiplying by 1.2? _____ ● ________ both sides of the equation by ____. ● x = _____ Check: 1.2x = -4.8 1.2( ) = -4.8 5. -3y = 2 ● y = _____ Check: -3y = 2 -3( ) = 2 Using an equation to solve a problem. 1. Sarah earns $5 dollars per hour when she baby-sits. How many hours does she need to work to earn $75? Write an equation: Solve the equation: Sarah must work _________________ hours to earn $75.00. 2. A 125 pound person uses 4.4 calories per minute when walking. How many minutes will it take this person to use 44 calories? Write an equation: Solve the equation: A 125 pound person must walk for _________________ to use 44 calories.