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 13 Quiz Answer Key.

## Texas Go Math Grade 6 Module 13 Quiz Answer Key

**Texas Go Math Grade 6 Module 13 Ready to Go On? Answer Key**

**13.1 Writing Inequalities**

**Write an inequality to represent each situation, then graph the solutions.**

Question 1.

There are fewer than 8 gallons of gas in the tank. __________________

Answer:

Draw a solid circle at 8 to show that 8 is not a solution.

Shade the number line to the left of 8 to show that numbers less than 8 are solutions.

Check your answer.

Substitute 7 for g.

7 < 8; 7 is less than 8, so 7 is a solution

Graph the solution on a number line.

Question 2.

There are at least 3 pieces of gum left in the pack. __________________

Answer:

Because here we have “at least 3″, the required inequality would be graphed on the following picture.

The inequality which describes given situation would be x ≥ 3.

Question 3.

The valley was at least 4 feet below sea level. ______________________

Answer:

Because here we have “at least 4″, the required inequality would be graphed on the following picture.

The inequality which describes given situation would be x ≥ 4.

**13.2 Addition and Subtraction Inequalities**

**Solve each inequality. Graph the solution.**

Question 4.

c – 28 > -32

Answer:

We will add 28 to both sides in order to solve this inequality and get:

c > -4

Now, we will graph the solution:

Now we will check our solution substituting some value from the set of solutions we got in originaL inequation. We will substitute 0 for c and get:

0 – 28 > -32

-28 > -32

So, the inequality is true.

c <> -4

Question 5.

v + 17 ≤ 20.

Answer:

In order to solve given inequality, we need to subtract 17 from both sides and get:

v ≤ 3

Now, we will graph the solution:

Question 6.

Today’s high temperature of 80°F is at least 16° warmer than yesterday’s high temperature. What was yesterday’s high temperature?

Answer:

Let x represent yesterday’s high temperature. According to all informations, we get the following inequality:

80 – x ≥ 16

We need to subtract 80 from both sides and get:

-x ≥ -64

Next step is to multiply both sides by -1. -1 is negative number, so, we need to reverse the inequality symbol for the statement to still be true.

(-x) (-1) ≤ (-64) (-1)

x ≤ 64

So, yesterday’s high temperature was at most 64°F.

**13.3, 13.4 Multiplication and Division inequalities**

**Solve each inequality. Graph the solution.**

Question 7.

7f ≤ 35

Answer:

First step is to divide both sides by 7.

\(\frac{7f}{7}\) ≤ \(\frac{35}{7}\)

f ≤ 5

Now, we will graph the solution:

Now we will check the solution by substituting a soLution from the shaded part of the graph into the original inequality.

We will substitute 2 for f and get:

7 ∙ 2 ≤ 35

14 ≤ 35

So, the inequality is true.

f ≤ 5

Question 8.

\(\frac{a}{2}\) < 4

Answer:

First step is to multiply by 2.

2(\(\frac{a}{2}\)) < 4(2)

a < 8

Now, we will graph the solution:

Now, we will check the solution by substituting a solution from the shaded part of the graph into the original inequality. We will substitute 4 for a and get:

\(\frac{4}{2}\) < 4

2 < 4

So, the inequality is true.

a < 8

Question 9.

-25g ≥ 150

Answer:

First step is to divide both sides by -25. -25 is negative number, so we need to reverse the inequality symbol for the statement to still be true.

\(\frac{-25g}{-25}\) ≤ \(\frac{150}{-25}\)

g ≤ -6

Now, we will graph the solution:

Now we will check the solution by substituting a solution from the shaded part of the graph into the original inequality.

We will substitute -8 for g and get:

-25(-8) ≥ 150

200 ≥ 150

So, the inequality is true.

g ≤ -6

Question 10.

\(\frac{k}{-3}\) < 3

Answer:

First step is to multiply by -3. -3 is negative number, so we need to reverse the inequality symbol for the statement to still be true.

\(\frac{k}{-3}\)(-3) > 3(-3)

k > -9

Now, we will graph the solution:

Now we will check the solution by substituting a solution from the shaded part of the graph into the original inequality.

So, we will substitute 0 for k and get:

\(\frac{0}{-3}\) < 3

0 < 3 So, the inequality is true. k > -9

**Texas Go Math Grade 6 Module 13 Mixed Review Texas Test Prep Answer Key**

**Selected Response**

Question 1.

Em saves at least 20% of what she earns each week. If she earns $140 each week for 4 weeks, which inequality describes the total amount she saves?

(A) t > 112

(B) t ≥ 112

(C) t < 28 (D) t ≤ 28

Answer:

(D) t ≤ 28

Explanation:

First we will calculate how much is 20% of 140. So we will multiply 140 by \(\frac{20}{100}\) = \(\frac{1}{5}\).

140 x \(\frac{1}{5}\) = \(\frac{140 \times 1}{1 \times 5}\) = 28

So, if t represent Em’s savings, the inequality which describes given situation is: t ≤ 28

Question 2.

Which number line represents the inequality r > 6?

Answer:

(B)

Explanation:

This inequality represents numbers on the right side of 6 and because there is symbol >, the circle at 6 is not full. So, conclusion is that number line which represents the inequality r > 6 is B.

Question 3.

For which inequality below is z = 3 a solution?

(A) z + 5 ≥ 9

(B) z + 5 > 9

(C) z + 5 ≤ 8

(D) z + 5 < 8

Answer:

(C) z + 5 ≤ 8

Explanation:

Solution of inequality at C is the following:

z ≤ 3

This solution includes 3, so, for this inequality, z = 3 is a solution.

Question 4.

What is the solution to the inequality -6x < -18?

(A) x > 3

(B) x < 3

(C) x ≥ 3

(D) x ≤ 3

Answer:

(A) x > 3

Explanation:

In order to solve this inequality, we need to divide both sides by -6. -6 is negative number, so, we need to reverse the inequality symbol for the statement to still be true.

\(\frac{-6x}{-6}\) > \(\frac{-18}{-6}\)

x > 3

Question 5.

The number line below represents the solution to which inequality?

(A) \(\frac{m}{4}\) > 2.2

(B) 2m < 17.6 (C) \(\frac{m}{3}\) > 2.5

(D) 5m > 40

Answer:

(A) \(\frac{m}{4}\) > 2.2

Explanation:

On given number line there are numbers right from 8.8 and 9 is not included. That is actually m > 8.8.

We can notice that this is soLution of inequality at A.

4(\(\frac{m}{4}\)) > (2.2) (4)

m > 8.8

Question 6.

Which number line shows the solution to w – 2 ≤ 8?

Answer:

(B)

Explanation:

In order to solve given inequality, we need to add 2 to both sides:

w ≤ 10

Solution we got appropriate to B.

**Gridded Response**

Question 7.

Hank needs to save at least $150 to ride the bus to his grandparent’s home, If he saves $12 a week, what is the least number of weeks he needs to save?

Answer:

Let x represent the number of weeks which are needed to Hank to save required money. Using all information in this task, we got the following inequality:

12x ≥ 150

In order to soLve it, we need to divide both sides by 12.

\(\frac{12x}{12}\) ≥ \(\frac{150}{12}\)

x ≥ 12.5

So, Hank will need at least 12.5 weeks to save required money.