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

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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).
Texas Go Math Grade 6 Module 8 Answer Key Applying Ratios and Rates 10

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).
Texas Go Math Grade 6 Module 8 Answer Key Applying Ratios and Rates 11

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).
Texas Go Math Grade 6 Module 8 Answer Key Applying Ratios and Rates 12

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).
Texas Go Math Grade 6 Module 8 Answer Key Applying Ratios and Rates 13

Write the equivalent fractions.

Question 5.
Texas Go Math Grade 6 Module 8 Answer Key Applying Ratios and Rates 1
Answer:
Switch sides
Texas Go Math Grade 6 Module 8 Answer Key Applying Ratios and Rates 14
x = 24

The equivalent fractions becomes
\(\frac{6}{8}=\frac{24}{32}\)

Question 6.
Texas Go Math Grade 6 Module 8 Answer Key Applying Ratios and Rates 2
Answer:
Switch Sides
Texas Go Math Grade 6 Module 8 Answer Key Applying Ratios and Rates 15
x = 7

The equivalent fractions becomes
\(\frac{1}{8}=\frac{7}{56}\)

Question 7.
Texas Go Math Grade 6 Module 8 Answer Key Applying Ratios and Rates 3
Answer:
Switch Sides
Texas Go Math Grade 6 Module 8 Answer Key Applying Ratios and Rates 16
x = 7

The equivalent fractions becomes
\(\frac{1}{8}=\frac{7}{56}\)

Question 8.
Texas Go Math Grade 6 Module 8 Answer Key Applying Ratios and Rates 4
Answer:
Switch Sides
Texas Go Math Grade 6 Module 8 Answer Key Applying Ratios and Rates 17
x = 3

The equivalent fractions becomes
\(\frac{9}{12}=\frac{3}{4}\)

Question 9.
Texas Go Math Grade 6 Module 8 Answer Key Applying Ratios and Rates 4
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.
Texas Go Math Grade 6 Module 8 Answer Key Applying Ratios and Rates 6
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.
Texas Go Math Grade 6 Module 8 Answer Key Applying Ratios and Rates 7
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.
Texas Go Math Grade 6 Module 8 Answer Key Applying Ratios and Rates 8
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

Texas Go Math Grade 6 Module 8 Answer Key Applying Ratios and Rates 9

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

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