## Envision Math 5th Grade Textbook Answer Key Topic 19.1 Bar Graphs and Picture Graphs

**Review What You Know**

**Vocabulary**

Choose the best term from the box,

Question 1.

A(n) ? is either of two perpendicular lines in a graph.

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Question 2.

A(n) ? is an exact location in space,

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Question 3.

A pair of numbers used to locate a point on a graph is called a(n) ? .

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**Number Lines**

Use the number line to answer 4 through 6

Question 4.

Which point is halfway between 1 and 2?

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Question 5.

Which point is closest to 1 than to 2?

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Question 6.

Which point is closest to 2 than to 1?

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**Writing Fractions**

Question 7.

If 3 out of 6 marbles are red, what fraction, in simplest form, names the red marbles?

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Question 8.

If 1 out of 5 apples is green, what fraction names the part of the apples that are NOT green?

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**Division Patterns**

Writing to Explain Write an answer to the question.

Question 9.

How is the number of zeros in the quotient of 45,000 ^ 9 related to the number of zeros in the dividend?

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**Bar Graphs and Picture Graphs**

How do you display data collected from a count or measure?

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Students were surveyed about what they do after school. The results were displayed in a bar graph.

A bar graph uses rectangles (bars) to show and compare data that tells how many or how much.

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**Another Example**

How can you make and interpret picture graphs?

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Sonya gathered data about the number of ducks in some of the 2006 rubber duck derbies. Sonya listed the data in a frequency table.

Then she made a picture graph to display the data.

A picture graph uses pictures or symbols to represent data. Each picture represents a certain amount in the data.

**Explain It
**Question 1.

Which is easier to interpret, a picture graph or a frequency table? Explain.

Answer:

Step 1: List the survey answers along one axis.

Step 2: Choose an interval, the difference between adjoining numbers on an axis. Label both axes. Along the other axis mark the scale, the series of numbers at equal distances. Begin with 0 and include the least and greatest numbers in the survey results.

Step 3: Graph the data by drawing bars of the correct length or height.

Step 4: Title the graph.

Interpret the Graph

Most students play sports. The fewest number of students do chores.

**Guided Practice**

**Do you know HOW?**

In 1 and 2, decide if a bar graph or picture graph would better present the data.

Question 1.

The number of cats, dogs, and pet birds in a neighborhood

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Question 2.

The number of cattle on three ranches

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**Do you UNDERSTAND?**

Question 3.

Could the data in the example of the bar graph above be presented in a picture graph? Explain.

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Question 4.

How are bar graphs and picture graphs similar? How are they different?

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**Independent Practice**

In 5 through 8, answer the questions about the picture graph shown to the right.

Question 5.

How many people are represented by each picture?

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Question 6.

What is the difference in populations between the second most populated city and the least populated city?

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Question 7.

About how many people live in the two most populated cities?

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Question 8.

Can this data be presented in a bar graph? Explain.

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**Problem Solving**

In 9 through 12, use the bar graph.

Question 9.

What interval was used for the scale?

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Question 10.

About how many more eagle pairs were there in 1994 than in 1990?

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Question 11.

Writing to Explain Based on the graph, do you think the number of pairs of eagles will increase or decrease? Explain.

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Question 12.

Between which 2 years did the number of pairs of eagles increase the most?

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In 13 through 15, use the frequency table.

Question 13.

If you were to draw a bar graph for this frequency table, what scale would you use?

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Question 14.

How many more U.S. residents visited France than Italy in 2004?

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Question 15.

Writing to Explain

Why do you think more residents went to Mexico and Canada than the other destinations?

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16. Think About the Process

juli0 bought 3 dozen eggs. He had 13 eggs left after making egg salad for the picnic. Which shows how to find how many eggs Julio used?

A. (13 – 12) × 3

B. (12 – 3) – 13

C. (13 × 12) – 3

D. (3 × 12) – 13

Answer:

Question 17.

Think About the Process

12 soccer teams with 10 students on each team. The school wants to have only 8 soccer teams. Which shows how to find the number of students that would be on each team if there were only 8 teams?

A. Multiply 10 by 8.

B. Divide 120 by 8.

C. Divide 8 by 120.

D. Multiply 12 by 8.

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Question 18.

Point A represents which mixed number on this number

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**Stop and Practice**

Find each difference.

Question 1.

-5 ____ +6

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Question 2.

+7 _____ +3

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Question 3.

-3 _____ +4

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Question 4.

+8 ___ +9

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Question 5.

-10 ____ +2

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Question 6.

-1 ____ +1

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Find each product. Simplify if possible.

Question 7.

\(\frac{1}{2}\) × \(\frac{6}{10}\)

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Question 8

\(\frac{2}{5}\) × \(\frac{1}{5}\)

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Question 9.

\(\frac{1}{6}\) × \(\frac{3}{4}\)

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Question 10.

8 × \(\frac{5}{8}\)

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Question 11.

\(\frac{1}{4}\) × \(\frac{1}{5}\)

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Question 12.

\(\frac{3}{8}\) × \(\frac{1}{4}\)

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Question 13.

\(\frac{9}{10}\) × \(\frac{1}{10}\)

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Question 14.

\(\frac{3}{4}\) × \(\frac{1}{3}\)

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Question 15.

\(\frac{5}{6}\) × \(\frac{1}{10}\)

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Find each quotient. Simplify if possible.

Question 16.

3\(\frac{2}{3}\) ÷ 1\(\frac{5}{6}\)

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Question 17.

1\(\frac{1}{2}\) ÷ 1\(\frac{1}{3}\)

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Question 18.

6 ÷ \(\frac{7}{8}\)

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Question 19.

1\(\frac{5}{12}\) ÷ 1\(\frac{5}{12}\)

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Error Search Find each answer that is not correct. Write it correctly and explain the error.

Question 20.

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Question 21.

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Question 22.

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Question 23.

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Question 24.

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**Number Sense**

Estimating and Reasoning Write whether each statement is true or false. Explain your reasoning.

Question 25.

If a < 0 and b > 0, then a – b is negative.

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Question 26.

The product of 25 and 2,002 is 50 less than 50,000.

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Question 27.

The expression (64 ÷ 8) + 2 × (25 ÷ 5) is 50.

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Question 28.

The sum of 22,256 and 43,008 is less than 65,000.

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Question 29.

The product of 6\(\frac{3}{5}\) and 7\(\frac{1}{9}\) is greater than 42.

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Question 30.

The quotient of 13.8 ÷ 2.1 is greater than 4 and less than 7.

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