This handy Math in Focus Grade 5 Workbook Answer Key Chapter 11 Practice 2 Graphing an Equation provides detailed solutions for the textbook questions.

## Math in Focus Grade 5 Chapter 11 Practice 2 Answer Key Graphing an Equation

**Write the ordered pair for each point.**

Example

A __(0, 1)__

Question 1.

B ___

Answer:

B(1,0)

Explanation:

An ordered pair is used to show the position on a graph,

where the “x” (horizontal) value is first, and the “y” (vertical) value is second.

Question 2.

C ____

Answer:

C(1,5)

Explanation:

The numbers on a coordinate grid are used to locate points.

Each point can be identified by an ordered pair of numbers;

that is, a number on the *x*-axis called an *x*-coordinate, and a number on the *y*-axis called a *y*-coordinate.

Question 3.

D ___

Answer:

D(2,2)

Explanation:

An ordered pair is used to show the position on a graph,

where the “x” (horizontal) value is first, and the “y” (vertical) value is second.

Question 4.

E ____

Answer:

E(3,6)

Explanation:

The numbers on a coordinate grid are used to locate points.

Each point can be identified by an ordered pair of numbers;

that is, a number on the *x*-axis called an *x*-coordinate, and a number on the *y*-axis called a *y*-coordinate.

Question 5.

F ____

Answer:

F(4,4)

Explanation:

An ordered pair is used to show the position on a graph,

where the “x” (horizontal) value is first, and the “y” (vertical) value is second.

Question 6.

G ____

Answer:

G(7,3)

Explanation:

The numbers on a coordinate grid are used to locate points.

Each point can be identified by an ordered pair of numbers;

that is, a number on the *x*-axis called an *x*-coordinate, and a number on the *y*-axis called a *y*-coordinate.

**Plot each point on the coordinate grid.**

Question 7.

P(0, 5)

Answer:

The location of (0,5) is shown on the coordinate grid below.

The *x*-coordinate is 0.

The *y*-coordinate is 5.

To locate (0,5), move 0 units to the right on the *x*-axis and 5 units up on the *y*-axis.

Explanation:

The numbers on a coordinate grid are used to locate points.

Each point can be identified by an ordered pair of numbers;

that is, a number on the *x*-axis called an *x*-coordinate, and a number on the *y*-axis called a *y*-coordinate.

P(x,y) = (0,5)

Question 8.

Q(4, 0)

Answer:

The location of (4,0) is shown on the coordinate grid below.

The *x*-coordinate is 4.

The *y*-coordinate is 0.

To locate (4,0), move 4 units to the right on the *x*-axis and 0 units up on the *y*-axis.

Explanation:

The numbers on a coordinate grid are used to locate points.

Each point can be identified by an ordered pair of numbers;

that is, a number on the *x*-axis called an *x*-coordinate, and a number on the *y*-axis called a *y*-coordinate.

P(x,y) = (4,0)

Question 9.

R(3, 6)

Answer:

The location of (3,6) is shown on the coordinate grid below.

The *x*-coordinate is 4.

The *y*-coordinate is 0.

To locate (3,6), move 3 units to the right on the *x*-axis and 6 units up on the *y*-axis.

Explanation:

The numbers on a coordinate grid are used to locate points.

Each point can be identified by an ordered pair of numbers;

that is, a number on the *x*-axis called an *x*-coordinate, and a number on the *y*-axis called a *y*-coordinate.

R(x,y) = (3,6)

Question 10.

S(5, 1)

Answer:

The location of (5,1) is shown on the coordinate grid below.

The *x*-coordinate is 5.

The *y*-coordinate is 1.

To locate (5,1), move 5 units to the right on the *x*-axis and 1 units up on the *y*-axis.

Explanation:

The numbers on a coordinate grid are used to locate points.

Each point can be identified by an ordered pair of numbers;

that is, a number on the *x*-axis called an *x*-coordinate, and a number on the *y*-axis called a *y*-coordinate.

S(x,y) = (5,1)

Question 11.

T(2, 5)

Answer:

The location of (2,5) is shown on the coordinate grid below.

The *x*-coordinate is 2.

The *y*-coordinate is 5.

To locate (2,5), move 2 units to the right on the *x*-axis and 5 units up on the *y*-axis.

Explanation:

The numbers on a coordinate grid are used to locate points.

Each point can be identified by an ordered pair of numbers;

that is, a number on the *x*-axis called an *x*-coordinate, and a number on the *y*-axis called a *y*-coordinate.

T(x,y) = (2,5)

Question 12.

U(0, 0)

Answer:

The location of (0,0) is shown on the coordinate grid below.

The *x*-coordinate is 0.

The *y*-coordinate is 0

Explanation:

The numbers on a coordinate grid are used to locate points.

Each point can be identified by an ordered pair of numbers;

that is, a number on the *x*-axis called an *x*-coordinate, and a number on the *y*-axis called a *y*-coordinate.

U(x,y) = (0,0)

The location of (0,0) is shown on the coordinate grid below. The *x*-coordinate is 0. The *y*-coordinate is 0

ANSWER:

Explanation:

The numbers on a coordinate grid are used to locate points.

Each point can be identified by an ordered pair of numbers;

that is, a number on the *x*-axis called an *x*-coordinate, and a number on the *y*-axis called a *y*-coordinate.

**Use the graph to answer the questions**

**The perimeter of a square is P centimeters and the length of each side is s centimeters. A graph of P = 4s is drawn.**

Question 13.

What is the perimeter of a square of side 2 centimeters? ___________

Answer:

8 centimeters

Explanation:

Perimeter of square = 4s

s = 2

P = 4 x 2 = 8 cm

Question 14.

What is the perimeter of a square of side 4.5 centimeters? ___________

Answer:

18 centimeters

Explanation:

P=4s

s = 4.5

P = 4 x 4.5 = 18 cm

Question 15.

What is the length of a side of a square if its perimeter is 4 centimeters? ____________

Answer:

16 centimeters

Explanation:

Perimeter of square = 4s

s = 4

P = 4 x 4 = 16cm

Question 16.

What is the length of a side of a square if its perimeter is 10 centimeters? ____________

Answer:

2.5 centimeter

Explanation:

Perimeter of square = 4s

P=10

10 = 4 x s = 2.5 cm

Question 17.

If the point (7, M) is on the graph what is the value of M? ___________

Answer:

M = 28

Explanation:

Perimeter of square = 4s

s = 7

P = 4 x 7 = 28

The line starting from (0,0) is extended to upwards, x is 7 and the value is 28

**Complete the table.**

Question 18.

Each bottle contains 2 liters of cooking oil.

Answer:

Explanation:

Each bottle contains 2 liters of cooking oil.

Number of bottles are represented with x.

Number of liters are represented with y.

So, y = x X y.

**Complete the graph using the data in the table. Then answer the questions.**

Question 19.

How many liters of oil are in 3 bottles? _____

Answer:

6 liters

Explanation:

Volume = 2xb is the equation can be used

V = 2 x 3 = 6 liters

on graph

Question 20.

How many liters of oil are in 2.5 bottles? ____

Answer:

5 liters

Explanation:

Volume = 2xb is the equation can be used

V = 2 x 2.5 = 5 liters

on graph

Question 21.

How many bottles contain 8 liters of oil? ____

Answer:

4 bottles

Explanation:

Volume = 2xb is the equation can be used

8 = 2 x b

on graph

Question 22.

How many bottles contain 7 liters of oil?

Answer:

3.5 bottles

Explanation:

Volume = 2xb is the equation can be used

7 = 2 x b

on graph

Question 23.

How many bottles contain 11 liters of oil? ___

Answer:

5.5 bottles

Explanation:

Volume = 2xb is the equation can be used

11 = 2 x b = 5.5

on graph