Lesson 12: Solving Problems About Percent Increase or Decrease | Unit 6: Expressions, Equations, and Inequalities

Multiple Select

Select **all** expressions that show $$x$$ increased by 35%.

• $$\frac{100+35}{100}x$$

• $$( 1+0.35)x$$

• $$\frac{35}{100}x$$

• $$x + \frac{35}{100}x$$

• $$1.35x$$

Multiple Choice

Here are two stories: * The initial freshman class at a college is 10% smaller than last year’s class. But then during the first week of classes, 20 more students enroll in the class. There are then 830 students in the freshman class. * A store reduces the price of a computer by $$20. Then during a 10$$ 830 for the computer. Here are two equations: * $$0.9x+20=830$$ * $$0.9(x-20)=830$$ Decide which equation represents each story.

• The first story is represented by $$0.9x+20=830$$ and the second story by $$0.9(x-20)=830$$

• The first story is represented by $$0.9(x-20)=830$$ and the second story by $$0.9x+20=830$$

Open Ended

Here are two stories: * The initial freshman class at a college is 10% smaller than last year’s class. But then during the first week of classes, 20 more students enroll in the class. There are then 830 students in the freshman class. * A store reduces the price of a computer by $$20. Then during a 10$$ 830 for the computer. Here are two equations: * $$0.9x+20=830$$ * $$0.9(x-20)=830$$ Explain why one equation has parentheses and the other doesn’t.

Open Ended

Here are two stories: * The initial freshman class at a college is 10% smaller than last year’s class. But then during the first week of classes, 20 more students enroll in the class. There are then 830 students in the freshman class. * A store reduces the price of a computer by $$20. Then during a 10$$ 830 for the computer. Here are two equations: * $$0.9x+20=830$$ * $$0.9(x-20)=830$$ Solve each equation, and explain what the solution means in the situation.

Multiple Select

Select **all** the expressions that are the result of decreasing $$x$$ by 80%.

• $$\frac{20}{100}x$$

• $$x - \frac{80}{100}x$$

• $$\frac{100-20}{100}x$$

• $$0.80x$$

• $$(1-0.8)x$$

Open Ended

Jada, Elena, and Lin walked a total of 37 miles last week. Jada walked 4 more miles than Elena, and Lin walked 2 more miles than Jada. The diagram represents this situation: Find the number of miles that they each walked. Explain or show your reasoning.