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 14 Answer Key Relationships in Two Variables.

## Texas Go Math Grade 6 Module 14 Answer Key Relationships in Two Variables

**Essential Question**

How can you use relationships in two variables to solve real-world problems?

**Texas Go Math Grade 6 Module 14 Are You Ready? Answer Key**

**Complete these exercises to review skills you will need for this chapter.**

**Multiply.**

Question 1.

7 × 6 ____

Answer:

Solution to this example is given below

7 × 6 =? Use a related fact you know.

6 × 6 = 36.

Think:7 × 6 = (6 × 6) + 6

= 36 + 6

= 42

Final solution

42

Question 2.

10 × 9 ____

Answer:

Solution to this example is given below

10 × 9 = 7 Use a related fact you know.

9 × 9 = 81.

Think: 10 × 9 = (9 × 9) + 9

= 81 + 9

= 90

Final solution

90

Question 3.

13 × 12 ____

Answer:

Solution to this example is given below

13 × 12 =? Use a related fact you know.

12 × 12 = 144.

Think: 13 × 12 = (12 × 12) + 12

= 144 + 12

= 156

Final solution

156

Question 4.

8 × 9 ____

Answer:

Solution to this example is given below

8 × 9 =? Use a related fact you know.

8 × 8 = 64.

Think: 8 × 9 = (8 × 8) + 8

= 64 + 8

= 72

Final solution

72

**Write the rule for each table.**

Question 5.

Answer:

Compare the x- and y-values to find a pattern.

Each x-value is 7 times the corresponding y-value

Use the pattern to write an equation expressing y in terms of x

y = 7x

y = 7x Final solution

y = 7x

Question 6.

Answer:

Compare the x- and y-values to find a pattern.

Each x-value is 6 more than the corresponding y-value

Use the pattern to write an equation expressing y in terms of x

y = x + 6

y = x + 6 Final solution

y = x + 6

Question 7.

Answer:

For example let x_{1} be 1 and x_{2} be 3 and because of this y_{1} will be -5 and y_{2} will be -15. We will use equation of a line through those two points and get:

y – y_{1} = \(\frac{y_{2} \cdot y_{1}}{x_{2}-x_{1}}\)(x – x_{1})

y + 5 = \(\frac{-15+5}{3-1}\)(x – 1)

y + 5 = -5(x – 1)

y = -5x + 5 – 5

y = -5x

So,

required rute is y = -5x.

y = -5x

Question 8.

Answer:

Compare the x- and y-values to find a pattern.

Each x-value is 0.5 times the corresponding y-value

Use the pattern to write an equation expressing y in terms of x

y = 0.5x

y = 0.5x Final solution

y = 0.5x

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

Question 9.

B (0, 8)

Answer:

Solution to this example is given below

Start at the origin.

Move 0 units right

Then move 8 units up.

Graph point B( 0, 8).

Question 10.

C (2, 3)

Answer:

Solution to this example is gin below

Start at the origin

Move 2 units right

Then move 3 units up.

Graph point C( 2, 3).

Question 11.

D (6, 7)

Answer:

Solution to this example is given below

Start at the origin.

Move 6 units right

Then move 7 units up.

Graph point D( 6, 7).

Question 12.

E (5, 0)

Answer:

Solution to this example is given below

Start at the origin.

Move 5 units right

Then move 0 units up.

Graph point E( 5, 0).

**Texas Go Math Grade 6 Module 14 Reading Start-Up Answer Key**

**Visualize Vocabulary**

**Use the ✓ words to complete the chart.**

**Understand Vocabulary**

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

Question 1.

The numbers in an ordered pair are _____

Answer:

The numbers in an ordered pair are __coordinates__

We know that coordinates are ordered pairs formed of numbers so, the missing word is coordinates.

Question 2.

A ________________________ is formed by two number lines that intersect at right angles.

Answer:

A __coordinate plane__ is formed by two number lines that intersect at right angles.

Coordinate plane is actually made of two number lines that intersect at right angles, so, missing word is coordinate plane.