Refer to our Texas Go Math Grade 6 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 6 Module 8 Answer Key Applying Ratios and Rates.

## Texas Go Math Grade 6 Module 8 Answer Key Applying Ratios and Rates

**Texas Go Math Grade 6 Module 8 Are You Ready? Answer Key**

**Graph each point on the coordinate grid above.**

Question 1.

B(9, 6)

Answer:

The point B(9, 6) locate on an xy-coordinate graph, go nine units from the origin to the right to 6 on the horizontal axis and then, from that point. go 6 units up (using the y-axis scale).

Question 2.

C(0, 2)

Answer:

The point C(0, 2) locate on an xy-coordinate graph, go zero units from the origin to 0 on the horizontal axis and then, from that point, go 2 units up (using the y-axis scale).

Question 3.

D(6, 10)

Answer:

The point D(6, 10) locate on an xy-coordinate graph, go six units from the origin to the right to 6 on the horizontal axis and then, from that point, go 10 units up (using the y-axis scale).

Question 4.

E(3, 4)

Answer:

The point E(3, 4) locate on an xy-coordinate graph, go three units from the origin to the right to 3 on the horizontal axis and then, from that point, go 4 units up (using the y-axis scale).

**Write the equivalent fractions.**

Question 5.

Answer:

Switch sides

x = 24

The equivalent fractions becomes

\(\frac{6}{8}=\frac{24}{32}\)

Question 6.

Answer:

Switch Sides

x = 7

The equivalent fractions becomes

\(\frac{1}{8}=\frac{7}{56}\)

Question 7.

Answer:

Switch Sides

x = 7

The equivalent fractions becomes

\(\frac{1}{8}=\frac{7}{56}\)

Question 8.

Answer:

Switch Sides

x = 3

The equivalent fractions becomes

\(\frac{9}{12}=\frac{3}{4}\)

Question 9.

Answer:

First we use this rule

Apply fraction cross multiply: if \(\frac{a}{b}=\frac{c}{d}\) then a ∙ d = b ∙ c

5x = 9 ∙ 25

5x = 225 (Multiply the numbers)

\(\frac{5 x}{5}=\frac{225}{5}\) (Divide both sides by 5)

x = 25

The equivalent fraction becomes

\(\frac{5}{9}=\frac{25}{45}\)

Question 10.

Answer:

First we use this rule

Apply fraction cross multiply: if \(\frac{a}{b}=\frac{c}{d}\) then a ∙ d = b ∙ c

5x = 6 ∙ 20

5x = 120 (Multiply the numbers)

\(\frac{5 x}{5}=\frac{120}{5}\) (Divide both sides by 5)

x = 24

The equivalent fraction becomes

\(\frac{5}{6}=\frac{20}{24}\)

Question 11.

Answer:

First we use this rule

Apply fraction cross multiply: if \(\frac{a}{b}=\frac{c}{d}\) then a ∙ d = b ∙ c

36x = 45 ∙ 12

36x = 540 (Multiply the numbers)

\(\frac{36 x}{36}=\frac{540}{36}\) (Divide both sides by 5)

x = 15

The equivalent fraction becomes

\(\frac{36}{45}=\frac{12}{15}\)

Question 12.

Answer:

First we use this rule

Apply fraction cross multiply: if \(\frac{a}{b}=\frac{c}{d}\) then a ∙ d = b ∙ c

20x = 36 ∙ 10

20x = 360 (Multiply the numbers)

\(\frac{20 x}{20}=\frac{360}{20}\) (Divide both sides by 20)

x = 18

The equivalent fraction becomes

\(\frac{20}{36}=\frac{10}{18}\)

**List the first five multiples of each number.**

Question 13.

3 ______________

Answer:

List the first five multiples of 3

3 × 1 = 3

3 × 2 = 6 (Multiply 3 by the numbers 1, 2,)

3 × 3 = 9 (3, 4, and 5)

3 × 4 = 12

3 × 5 = 15

3, 6, 9, 12, 15

Question 14.

7 ______________

Answer:

List the first five multiples of 7

7 × 1 = 7

7 × 2 = 14 (Multiply 7 by the numbers 1, 2,)

7 × 3 = 21 (3, 4 and 5)

7 × 4 = 28

7 × 5 = 35

7, 14, 21, 28, 35

Question 15.

8 ______________

Answer:

List the first five multiples of 8

8 × 1 = 8

8 × 2 = 16 (Multiply 8 by the numbers 1, 2,)

8 × 3 = 24 (3, 4, and 5)

8 × 4 = 32

8 × 5 = 40

8, 16, 24, 32, 40

**Texas Go Math Grade 6 Module 8 Reading Start-Up Answer Key**

**Visualize Vocabulary**

**Use the ✓ words to complete the graphic. Comparing Unit Rates**

**Understand Vocabulary**

**Complete the sentences using the preview words.**

Question 1.

A __________________ is a rate that compares two equivalent measurements.

Answer:

Conversion factor

Question 2.

The two sides that form the right angle of a right triangle are called __________________. The side opposite the right angle in a right triangle is called the __________________ .

Answer:

cathetus, hypotenuse