Write and solve multi-step equations to represent situations, including variables on both sides of the equation.
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The following tools may be useful for this lesson: calculators.
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You have a coupon worth $18 off the purchase of a scientific calculator. At the same time, the calculator is offered with a discount of 15%, but no further discounts may be applied. For what tag price on the calculator do you pay the same amount for each discount?
Coupon versus Discount, accessed on Aug. 31, 2017, 2:12 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
You and your brother go to the same store to buy fruit. You purchase a large watermelon for $7.71 and 2.4 pounds of red grapes. Your brother buys a platter of pre-cut fruit for $9.95 and 1.6 pounds of red grapes. The two of you spend the same amount of money. How much do the grapes cost per pound?
Solve the equations for the variable.
a. $${-4.2x+6-8.3x={1\over2}(-9x+4)}$$
b. $${{{5-x}\over8} = {{{1\over4}x-5}\over3}}$$
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Melanie is looking for a summer job. After a few interviews, she ends up with two job offers.
1. If Melanie plans to work 10 hours per week, which job offer should she take to maximize her earnings?
2. What if Melanie works 20 hours per week?
3. How many hours would Melanie need to work in order for the pay at each job to be the same? Write and solve an equation.
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