Envision Math 5th Grade Textbook Answer Key Topic 18.1 Ordered Pairs

Review What You Know

Vocabulary
Choose the best term from the box.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 1
Question 1.
(2, 5) is an example of a(n) ? .
Answer:

Question 2.
If you name a point (4, 6), 4 is the ? and 6 is the ? .
Answer:

Question 3.
A coordinate plane is made up of two intersecting ? .
Answer:

Basic Facts
Find each sum, difference, or product,
Question 4.
4 × 5
Answer:

Question 5.
7 × 8
Answer:

Question 6.
3 × 6
Answer:

Question 7.
8 + 6
Answer:

Question 8.
3 + 9
Answer:

Question 9.
5 + 7
Answer:

Question 10.
16 – 9
Answer:

Question 11.
8 – 6
Answer:

Question 12.
12 – 8
Answer:

Algebra
Question 13.
Evaluate 4x + 8 for x = 7
Answer:

Question 14.
Evaluate 51 ÷ y – 2 for y = 3
Answer:

Graphing Ordered Pairs
Writing to Explain Write an answer for the question.
Question 15.
Explain the steps you would follow to graph Point A (2, 3) on a coordinate grid .
Answer:

Ordered Pairs

How can you locate points on a coordinate grid?
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 2
Answer:
A coordinate grid makes it easy to locate a point on a map. Start at 0. Go 3 blocks east and then 2 blocks north. You will be at the bank.
An ordered pair names a point on a coordinate grid. The bank is at (3, 2)

Another Example
How do you graph a point on a coordinate plane?
Answer:
You know that graphs represent data. Now you will see how ordered pairs of numbers can represent points on a coordinate plane.
Graph Point R at (-4, -5)
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 3
Step 1: Draw and label the x-axis and y-axis on grid paper.
Step 2: Move 4 units to the left of the origin.Then, move 5 units down.
Step 3: Mark a point and label it R.

Explain It
Question 1.
How would you locate the point (+4, -5) on a coordinate grid?
Answer:

Question 2.
If the location of point R above were changed to (-4, +5), would the point be above or below its current position?
Answer:

Question 3.
Suppose you want to graph the point (0, +5) on graph paper. When you start from the origin, do you move right 0 units or move up 0 units?
Answer:

A coordinate plane extends to include both positive and negative numbers. It has a horizontal x-axis and a vertical y-axis. The point at which the x-axis and y-axis intersect is called the origin.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 4

The first number in an ordered pair, the x-coordinate, names the distance to the right or left from the origin along the x-axis. The second number, the y-coordinate, names the distance up or down from the origin along the y-axis.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 5
The ordered pair for Point A is (-2, 3).

Guided Practice

Do you know HOW?
In 1 through 4, write the ordered pair for each point. Use the grid at the right.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 6
Question 1.
A
Answer:

Question 2.
B
Answer:

Question 3.
C
Answer:

Question 4.
D
Answer:

Do you UNDERSTAND?
Question 5.
Writing to Explain Describe how to plot the ordered pair (-3, +4).
Answer:

Question 6.
What ordered pair names the origin of any coordinate plane?
Answer:

Question 7.
In the example above, name the ordered pair for a point that is 3 units directly above Point A.
Answer:

Independent Practice

In 8 through 13, write the ordered pair for each point. Use the grid at the right.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 7
Question 8.
M
Answer:

Question 9.
N
Answer:

Question 10.
P
Answer:

Question 11.
R
Answer:

Question 12.
S
Answer:

Question 13.
T
Answer:

In 14 through 19, graph and label each point on a grid.
Question 14.
H (2, +1)
Answer:

Question 15.
J (+5, +1)
Answer:

Question 16.
K(0, +5)
Answer:

Question 17.
E (+1, -3)
Answer:

Question 18.
F (+4, -5)
Answer:

Question 19.
G (-3, -4)
Answer:

Problem Solving

Geometry For 20 through 24, complete the table by listing the ordered pair for each vertex of the pentagon at the right.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 8
Answer:

Question 25.
Algebra Which equation shows the relationship of the values in the table?
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 9
A. y = x + 3
B. x = y – 3
C. y = x – 3
D. y = x
Answer:

Question 26.
A chessboard is similar to a coordinate grid. The pieces that look like horses are called knights. What letter-number combinations name the locations of the white knights?
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 10
Answer:

Question 27.
Writing to Explain
The streets in many cities in the United States are laid out in a coordinate grid. How is this helpful when finding locations in cities such as Los Angeles, California?
Answer:

Question 28.
In a class of 25 students, 15 are girls. Which does NOT show the part of the class that are girls?
A. \(\frac{3}{5}\)
B. 0.6
C. 60%
D. 0.3
Answer:

Stop and Practice

Find each difference.
Question 1.
6.7 – 0.921
Answer:

Question 2.
219.2 – 61.3
Answer:

Question 3.
2.5 – 1.054
Answer:

Question 4.
88.7 – 17.62
Answer:

Question 5.
1.17 – 0.362
Answer:

Question 6.
1.1 – 0.033
Answer:

In 7 through 13, solve each equation for c.
Question 7.
\(\frac{c}{8}\) = 9
Answer:

Question 8.
\(\frac{c}{16}\) = 2
Answer:

Question 9.
\(\frac{c}{17}\) = 5
Answer:

Question 10.
\(\frac{c}{2}\) = 2
Answer:

Question 11.
\(\frac{c}{30}\) = 3
Answer:

Question 12.
\(\frac{c}{10}\) = 13
Answer:

Question 13.
\(\frac{c}{7}\) = 6
Answer:

Find each difference. Estimate to check if the answer is reasonable.
Question 14.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 11
Answer:

Question 15.
734 ÷ 6
Answer:

Question 16.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 12
Answer:

Question 17.
723 ÷ 9
Answer:

Question 18.
10,648 ÷ 39
Answer:

Question 19.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 13
Answer:

Question 20.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 14
Answer:

Question 21.
6,203 ÷ 43
Answer:

Error Search Find each sum or difference that is not correct. Write it correctly and explain the error.
Question 22.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 15
Answer:

Question 23.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 16
Answer:

Question 24.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 17
Answer:

Question 25.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 18
Answer:

Question 26.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 19
Answer:

Number Sense
Estimating and Reasoning Write whether each statement is true or false. Explain your reasoning.
Question 27.
The sum of -8 and +12 equals -4.
Answer:

Question 28.
The quotient of 5,763 ÷ 8 is between 700 and 800.
Answer:

Question 29.
The difference of 25,980 – 15,980 is less than 10,000.
Answer:

Question 30.
The product of 8 and 5.943 is closer to 48 than 40.
Answer:

Question 31.
The sum of 5\(\frac{7}{10}\) and 3\(\frac{3}{4}\) is greater than 9.
Answer:

Question 32.
The k in the equation 13k = 39 is equal to 3.
Answer:

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