Envision Math 5th Grade Textbook Answer Key Topic 18.3 Graphing Equations

Graphing Equations

How do you graph an equation on a coordinate grid?
Answer:
Each day at 7:00 A.M., Tim listed the temperature on his outdoor thermometer and from the radio weather report.
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 1

Question.
Write an equation to show the relationship between the temperatures and then graph that relationship.
Answer:

Guided Practice

Do you know HOW?
In 1 and 2, complete the table of values and graph the equation.
Question 1.
y = x+ +3
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 2
Answer:

Question 2.
y = x – +4
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 3
Answer:

Do you UNDERSTAND?
Question 3.
For the problem above, suppose the temperature given in the weather report was 2° F higher than the temperature at Tim’s house. Write an equation, make a table of values, and graph the equation.
Answer:

Question 4.
On your graph for Problem 1, what is the y-coordinate at the point where the line would cross the x-axis?
Answer:

Independent Practice

In 5 through 7, write an equation to describe each table.
Question 5.
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 4
Answer:

Question 6.
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 5
Answer:

Question 7.
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 6
Answer:

In 8 through 10, complete each table of values and graph each equation.
Question 8.
y = x + 1
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 7
Answer:

Question 9.
y = x – 3
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 8
Answer:

Question 10.
y = 4 + x
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 9
Answer:

Write an equation.
Let x = temperature Tim’s house
Let y = temperature given by the weather report
Each day the temperature was reported as 2° lower.
y = x – 2

Use Tim’s list to make a table of values.
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 10
A table of values shows how x and y are related and lists values that satisfy the equation.

Use the table of values to graph the equation.
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 11
An equation whose graph is a straight line is called a linear equation.

Problem Solving

Question 11.
Reasoning If the points (+1, +7), (+1, +3), (+1, 5), and (+1, 9) were graphed, they would form a vertical line. Do you think the equation for this line would be x = +1 or y = +1? Explain.
Answer:

Question 12.
The Clothes Closet was having a year-end sale. Julie bought 2 pairs of jeans. The jeans cost $28 each. Her state charges 7% sales tax. What was the total cost of the jeans?
Answer:

Question 13.
Which ordered pair will be included on the graph for y = +9 + x?
A. (+6, +3)
B. (3, +6)
C. (+3, 6)
D. (+6, 3)
Answer:

Question 14.
If you were to walk on Mars, the air near your toes may have a temperature of +18°C, but the air at your head may be 27°C colder. What would be the temperature near your head?
Answer:

For 15 and 16, use the graph below.
Question 15.
Make a table of values for the graph.
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 12
Answer:

Question 16.
Use the table of values to write an equation for the graph.
Answer:

Question 17.
Justin bought a hat for $8.50 and socks for $5.75. He had a coupon for $2 off one item. How much change did he receive if he paid with a $20 bill?
Answer:

Question 18.
Writing to Explain Aaron’s graph included the points (+6, +2), (+3, 1), and (3, 7). Bob’s graph included the points (+7, +3), (+2, 2), and (2, 6). Would all six points be included on the same graph? Why or why not?
Answer:

Question 19.
If two pencils cost $0.25, how much would 12 pencils cost?
Answer:

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