All the solutions provided in**McGraw Hill My Math Grade 5 Answer Key PDF Chapter 7 Review**will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 5 Chapter 7 Review Answer Key

**Vocabulary Check**

**Use context clues to write a description for each boldfaced vocabulary word.**

Question 1.

The numerical expression 5 + 12 represents the sum of 5 and 12.

Answer:

5 plus 12 is 17.

Sum of 5 and 12 is 17.

Explanation:

Sum of two addends is called addition.

2 or more addends result in sum.

So, 5 + 12 = 17

Question 2.

Keira was asked why the ordered pair is important when plotting points on a graph.

Answer:

The order is important because a point named by the ordered pair is not at the same location as the point named by the ordered pair.

Explanation:

An ordered pair is a composition of the x coordinate and the y coordinate,

having two values written in a fixed order within parentheses.

It helps to locate a point on the Cartesian plane for better visual comprehension.

Question 3.

Luis was given the expression 10 – (2 × 6) to evaluate and asked to identify the order of operations.

Answer:

PEMDAS

Explanation:

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

One should follow the order to evaluate the expressions.

Given, 10 – (2 × 6)

10 – 12 = -2

Question 4.

The coordinate plane can be used to name ordered pairs.

Answer:

Yes,

Explanation:

Ordered pairs are used to locate a point on a cartesian plane.

It has parenthesis, a comma, and two real numbers.

The first real number is called the x coordinate,

and the second one is known as the y coordinate.

Those numbers can be either positive or negative.

Question 5.

Majorie was asked to name the x-coordinate on the coordinate plane for point A.

Answer:

Abscissa.

Explanation:

A coordinate plane is a graphing and description system for points and lines.

A vertical (y) axis and a horizontal (x) axis make up the coordinate plane.

An x-coordinate is the first element in an ordered pair.

When an ordered pair is graphed as the coordinates of a point in the coordinate plane,

the x-coordinate represents the directed distance of the point from the y-axis.

Another name for the x-coordinate is the abscissa.

**Concept Check**

**Evaluate each expression.**

Question 6.

(2 × 2^{2}) × (4 + 7) = ______________

Answer:

88

Explanation:

Follow the order of PEMDAS.

Given, (2 × 2^{2}) × (4 + 7)

find 2^{2}= 2 x 2 = 4

Add 4 + 7 = 11

Multiply 2 x 4 = 8

(2 × 2^{2}) × (4 + 7)

8 x 11 = 88

Question 7.

10 × [(7^{2} + 3) – 9] = ______________

Answer:

430

Explanation:

Follow the order of PEMDAS.

Given, 10 × [(7^{2} + 3) – 9]

find 7^{2}= 7 x 7 = 49

Add 49 + 3 = 52

Subtract 52 – 9 = 43

Multiply 43 x 10 = 430

Question 8.

(21 ÷ 3) + (17 – 7) = ______________

Answer:

17

Explanation:

Follow the order of PEMDAS.

Given, (21 ÷ 3) + (17 – 7)

Divide 21 ÷ 3 = 7

Subtract 17 – 7 = 10

Add 10 + 7 = 17

Question 9.

{[(66 ÷ 11) + 3] × 2} = ______________

Answer:

18

Explanation:

Follow the order of PEMDAS.

Given, {[(66 ÷ 11) + 3] × 2}

Divide 66 ÷ 11 = 6

Add 6 + 3 = 9

Multiply 9 x 2 = 18

Question 10.

6 × [5 × (3^{3} – 17)] = ______________

Answer:

300

Explanation:

Follow the order of PEMDAS.

Given, 6 × [5 × (3^{3} – 17)]

find 3^{3 }= 3 x 3 x 3 = 27

Subtract 27 – 17 = 10

Multiply 5 x 10 = 50

50 x 6 = 300

Question 11.

{[(18 – 3) + 3^{2}] – 14} × 3 = ______________

Answer:

Explanation:

Follow the order of PEMDAS.

Given, {[(18 – 3) + 3^{2}] – 14} × 3

Find 3^{2 }= 3 x 3 = 9

Subtract 18 – 3 = 15

Add 15 + 9 = 24

Subtract 15 – 14 = 1

Multiply 1 x 3 = 3

**Write each phrase as a numerical expression.**

Question 12.

divide 18 by 3, then add 9 ______________

Answer:

(18 ÷ 3) + 9

Explanation:

Divided 18 by 3 = 18 ÷ 3

Add 9 = (18 ÷ 3) + 9

Numerical expression is (18 ÷ 3) + 9

Question 13.

subtract 5 from 13 then add the product of 3 and 7 ______________

Answer:

(13 – 5) + (3 x 7)

Explanation:

subtract 5 from 13 = 13 – 5

add the product of 3 and 7 = 3 x 7

Numerical phrase = (13 – 5) + (3 x 7)

Question 14.

Compare the pair of numerical expressions without evaluating them.

Expression 1

12 × 2

Expression 2

(12 × 2) × 2

Both expressions contain the same multiplication expression.

Write the expression ____________

In Expression 2, the product is multiplied by ____________.

So, Expression 2 is ___________ times as large as Expression 1.

Answer:

Expression 2 is two times as large as Expression 1.

Explanation:

Both expressions contain the same multiplication expression.

12 x 2 = 24

In Expression 2, the product is multiplied by 24 x 2 = 48

Compare both the expressions,

48 – 24 = 24

So, Expression 2 is two times as large as Expression 1.

**Locate and name each ordered pair.**

Question 15.

A ____________

Answer:

(1, 3)

Explanation:

A coordinate plane is a graphing and description system for points and lines.

A vertical (y) axis and a horizontal (x) axis make up the coordinate plane.

Ordered pairs of A (1, 3).

Question 16.

B ____________

Answer:

(3, 5)

Explanation:

A coordinate plane is a graphing and description system for points and lines.

A vertical (y) axis and a horizontal (x) axis make up the coordinate plane.

Ordered pairs of B (3, 5).

Question 17.

C ____________

Answer:

(5, 7)

Explanation:

A coordinate plane is a graphing and description system for points and lines.

A vertical (y) axis and a horizontal (x) axis make up the coordinate plane.

Ordered pairs of C (5, 7).

**Locate and name each point.**

Question 18.

(5, 3) _____________

Answer:

Explanation:

A coordinate plane is a graphing and description system for points and lines.

A vertical (y) axis and a horizontal (x) axis make up the coordinate plane.

Ordered pairs of (5, 3) located on x and y axis as,

5 is on x and 3 is on y.

Question 19.

(4, 6) _____________

Answer:

Explanation:

A coordinate plane is a graphing and description system for points and lines.

A vertical (y) axis and a horizontal (x) axis make up the coordinate plane.

Ordered pairs of (4, 6) located on x and y axis as,

4 is on x and 6 is on y.

Question 20.

(4, 4) ______________

Answer:

Explanation:

A coordinate plane is a graphing and description system for points and lines.

A vertical (y) axis and a horizontal (x) axis make up the coordinate plane.

Ordered pairs of (4, 4) located on x and y axis as,

4 is on x and 4 is on y.

**Problem Solving**

Question 21.

A store display will have 6 rows, with 12 containers in each row. If 39 containers has been set up so far, explain how to find the number of containers that still need to be set up. Then solve the problem.

Answer:

33 containers.

Explanation:

A store display will have 6 rows, with 12 containers in each row.

6 x 12 = 72 containers.

If 39 containers has been set up so far,

The number of containers that still need to be set up,

Total containers – set up containers.

72 – 39 = 33 containers.

Question 22.

Fashion for All has jeans on sale for $13. Designer Pants has jeans on sale for $26. Write the total costs of 1, 2, 3, and 4 pairs of jeans for each store. Then compare the total cost of 4 pairs of jeans.

Answer:

$52

Cost of designer pants is double the fashion jeans.

Explanation:

Fashion for All has jeans on sale for $13.

Cost of 4 pairs = 4 x $13 = $52

Designer Pants has jeans on sale for $26.

Cost 4 pairs = 4 x $ 26 = $104

Then compare the total cost of 4 pairs of jeans.

$104 – $52 = $52

Question 23.

Glenn swam 2 laps every morning for 7 days. In addition to the laps he swam each morning, he swam 3 laps with his friends on Tuesday and Thursday. Write the expression that shows the number of laps he swam during the week. Evaluate the expression to find the total number of laps he swam that week.

Answer:

(2 x 7) + (3 x 2) = 20 laps.

Explanation:

Glenn swam 2 laps every morning for 7 days.

2 x 7 = 14 laps.

In addition to the laps he swam each morning,

he swam 3 laps with his friends on Tuesday and Thursday.

2 x 3 = 6 laps.

Numerical expression = (2 x 7) + (3 x 2)

The total number of laps he swam that week = 20 laps.

**Use the graph for Exercises 24 and 25.**

Question 24.

What is located at (3, 6)?

Answer:

Playground.

Explanation:

A coordinate plane is a graphing and description system for points and lines.

A vertical (y) axis and a horizontal (x) axis make up the coordinate plane.

From given co-ordinate graph,

Ordered pairs of (3, 6) located on x and y axis shows playground.

Question 25.

Write the ordered pair for the bookstore.

Answer:

(1, 3)

Explanation:

A coordinate plane is a graphing and description system for points and lines.

A vertical (y) axis and a horizontal (x) axis make up the coordinate plane.

From the given co-ordinate graph,

Ordered pairs of Bookstore are (1, 3)

**Test Practice**

Question 26.

Refer to the graph for Exercises 24 and 25. If the y-coordinate of the grocery store was moved up 4 units, what would be the ordered pair of the grocery store?

(A) (1, 5)

(B) (5, 1)

(C) (1, 7)

(D) (5, 5)

Answer:

Option(A)

Explanation:

A coordinate plane is a graphing and description system for points and lines.

A vertical (y) axis and a horizontal (x) axis make up the coordinate plane.

If the y-coordinate of the grocery store was moved up 4 units,

The ordered pair of the grocery store is (1, 5)

**Reflect**

Use what you learned about expressions and patterns to complete the graphic organizer.

Now reflect on the ESSENTIAL QUESTION Write your answer below.

Answer:

The graphical view is vastly used in every type of data or report.

Explanation:

It makes data easier to understand and also has a lot more advantages.

But it also has some disadvantages so for that reason,

we are giving here some advantages and disadvantages of graphical representation of data.

In x and y coordinates, as x axis value increases corresponding y axis value may vary.