Lesson 6: Practice Problems

Problem 1

For each diagram, decide if is an increase or a decrease relative to . Then determine the percent increase or decrease.

  1. tape diagram, 4 green equal sections, all labeled x and 3 labeled y
  2. tape diagram, 5 equal sections. 4 green and labeled x. 1 white section. The entire tape diagram labeled y.

Problem 2

Draw diagrams to represent the following situations.

  1. The amount of flour that the bakery used this month was a 50% increase relative to last month.

  2. The amount of milk that the bakery used this month was a 75% decrease relative to last month.

Problem 3

Write each percent increase or decrease as a percentage of the initial amount. The first one is done for you.

  1. This year, there was 40% more snow than last year.

    The amount of snow this year is 140% of the amount of snow last year.

  2. This year, there were 25% fewer sunny days than last year.

  3. Compared to last month, there was a 50% increase in the number of houses sold this month.

  4. The runner’s time to complete the marathon was a 10% less than the time to complete the last marathon.

Problem 4 From Unit 3 Lesson 3

The graph shows the relationship between the diameter and the circumference of a circle with the point shown. Find 3 more points that are on the line.

A graph of a line in the coordinate plane with the origin labeled O. The horizontal axis is labeled “d” and the numbers 1 through 6 are indicated. The vertical axis is labeled “C” and the numbers 2 through 12, in increments of 2, are indicated. The line begins at the origin, slants upward and to the right, and passes through the point 1 comma pi.

Problem 5 From Unit 4 Lesson 4

Priya bought grams of flour. Clare bought more than that. Select all equations that represent the relationship between the amount of flour that Priya bought, , and the amount of flour that Clare bought, .