## 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.

Question 2.
A(n) ? is an exact location in space,

Question 3.
A pair of numbers used to locate a point on a graph is called a(n) ? .

Number Lines

Use the number line to answer 4 through 6

Question 4.
Which point is halfway between 1 and 2?

Question 5.
Which point is closest to 1 than to 2?

Question 6.
Which point is closest to 2 than to 1?

Writing Fractions
Question 7.
If 3 out of 6 marbles are red, what fraction, in simplest form, names the red marbles?

Question 8.
If 1 out of 5 apples is green, what fraction names the part of the apples that are NOT green?

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?

Bar Graphs and Picture Graphs

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

Another Example
How can you make and interpret picture graphs?
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.

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

Question 2.
The number of cattle on three ranches

Do you UNDERSTAND?
Question 3.
Could the data in the example of the bar graph above be presented in a picture graph? Explain.

Question 4.
How are bar graphs and picture graphs similar? How are they different?

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?

Question 6.
What is the difference in populations between the second most populated city and the least populated city?

Question 7.
About how many people live in the two most populated cities?

Question 8.
Can this data be presented in a bar graph? Explain.

Problem Solving

In 9 through 12, use the bar graph.

Question 9.
What interval was used for the scale?

Question 10.
About how many more eagle pairs were there in 1994 than in 1990?

Question 11.
Writing to Explain Based on the graph, do you think the number of pairs of eagles will increase or decrease? Explain.

Question 12.
Between which 2 years did the number of pairs of eagles increase the most?

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?

Question 14.
How many more U.S. residents visited France than Italy in 2004?

Question 15.
Writing to Explain
Why do you think more residents went to Mexico and Canada than the other destinations?

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

Question 17.
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.

Question 18.
Point A represents which mixed number on this number

Stop and Practice

Find each difference.
Question 1.
-5 ____ +6

Question 2.
+7 _____ +3

Question 3.
-3 _____ +4

Question 4.
+8 ___ +9

Question 5.
-10 ____ +2

Question 6.
-1 ____ +1

Find each product. Simplify if possible.
Question 7.
$$\frac{1}{2}$$ × $$\frac{6}{10}$$

Question 8
$$\frac{2}{5}$$ × $$\frac{1}{5}$$

Question 9.
$$\frac{1}{6}$$ × $$\frac{3}{4}$$

Question 10.
8 × $$\frac{5}{8}$$

Question 11.
$$\frac{1}{4}$$ × $$\frac{1}{5}$$

Question 12.
$$\frac{3}{8}$$ × $$\frac{1}{4}$$

Question 13.
$$\frac{9}{10}$$ × $$\frac{1}{10}$$

Question 14.
$$\frac{3}{4}$$ × $$\frac{1}{3}$$

Question 15.
$$\frac{5}{6}$$ × $$\frac{1}{10}$$

Find each quotient. Simplify if possible.
Question 16.
3$$\frac{2}{3}$$ ÷ 1$$\frac{5}{6}$$

Question 17.
1$$\frac{1}{2}$$ ÷ 1$$\frac{1}{3}$$

Question 18.
6 ÷ $$\frac{7}{8}$$

Question 19.
1$$\frac{5}{12}$$ ÷ 1$$\frac{5}{12}$$

Error Search Find each answer that is not correct. Write it correctly and explain the error.
Question 20.

Question 21.

Question 22.

Question 23.

Question 24.

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.

Question 26.
The product of 25 and 2,002 is 50 less than 50,000.

Question 27.
The expression (64 ÷ 8) + 2 × (25 ÷ 5) is 50.
The product of 6$$\frac{3}{5}$$ and 7$$\frac{1}{9}$$ is greater than 42.