Into Math Grade 7 Module 8 Answer Key Solve Problems Using Inequalities

We included HMH Into Math Grade 7 Answer Key PDF Module 8 Solve Problems Using Inequalities to make students experts in learning maths.

HMH Into Math Grade 7 Module 8 Answer Key Solve Problems Using Inequalities

The Suspect is Over There!

In your work with the Math Detective Agency, you have been asked to locate an integer suspect using witness reports given as inequalities. For example, the report x ≥ \(\frac{4}{5}\) means that the witness believes the suspect is greater than or equal to four-fifths.
HMH Into Math Grade 7 Module 8 Answer Key Solve Problems Using Inequalities 1
Summarize each report by graphing the inequality on the number line.
A. x ≥ \(\frac{4}{5}\)
HMH Into Math Grade 7 Module 8 Answer Key Solve Problems Using Inequalities 2
Answer:
x ≥ 0.8

Explanation:
we plot them on intervals of number line.
Numbers present on right are larger than the numbers present on left of the number line.
x ≥ \(\frac{4}{5}\)
x ≥ 0.8

B. y < 6
HMH Into Math Grade 7 Module 8 Answer Key Solve Problems Using Inequalities 2
Answer:

Explanation:
we plot them on intervals of number line.
Numbers present on right are larger than the numbers present on left of the number line.

C. n ≤ 2.8
HMH Into Math Grade 7 Module 8 Answer Key Solve Problems Using Inequalities 2
Answer:

Explanation:
we plot them on intervals of number line.
Numbers present on right are larger than the numbers present on left of the number line.

D. p > \(\frac{8}{5}\)
HMH Into Math Grade 7 Module 8 Answer Key Solve Problems Using Inequalities 2
Answer:

Explanation:
when comparing numbers bigger than nine, we plot them on intervals of number line.
Numbers present on right are larger than the numbers present on left of the number line.
p > \(\frac{8}{5}\)
p > 1.6

Turn and Talk

If all the witness reports are correct, do you have enough information to determine which integer is the suspect? Explain.
Answer:
No
Explanation:
We still don’t have much information about the suspects as the suspect can be anywhere from
0.8 to 6.0
So we can not identify the suspect integer.

Are You Ready?

Complete these problems to review prior concepts and skills you will need for this module.

Compare Rational Numbers

Compare. Write < or >.

Question 1.
-7 HMH Into Math Grade 7 Module 8 Answer Key Solve Problems Using Inequalities 3 -3
Answer:
-7 < -3
Explanation:
Zero on number line is neither a positive number or a negative number.
-3 is closer to zero on number line.
So, -7 is less than -3.

Question 2.
0 HMH Into Math Grade 7 Module 8 Answer Key Solve Problems Using Inequalities 3 -1
Answer:
0 > -1
Explanation:
Zero on number line is neither a positive number or a negative number.
So, zero greater than -1.

Question 3.
\(\frac{1}{3}\) HMH Into Math Grade 7 Module 8 Answer Key Solve Problems Using Inequalities 3 –\(\frac{3}{4}\)
Answer:
\(\frac{1}{3}\) > –\(\frac{3}{4}\)
Explanation:
To compare the fractional numbers first reduce them to their standard forms,
\(\frac{1}{3}\) = 0.3
–\(\frac{3}{4}\) = -0.75
So, \(\frac{1}{3}\)  is greater than \(\frac{3}{4}\)

Question 4.
-2.10 HMH Into Math Grade 7 Module 8 Answer Key Solve Problems Using Inequalities 3 -2.19
Answer:
-2.10 > -2.19
Explanation:
To compare the negative integers on number line observe the tenth place of the given numbers as the whole numbers and ones place have same numbers.
So, -2.10 > -2.19

Question 5.
-7\(\frac{2}{5}\) HMH Into Math Grade 7 Module 8 Answer Key Solve Problems Using Inequalities 3 5\(\frac{1}{2}\)
Answer:
-7\(\frac{2}{5}\) < 5\(\frac{1}{2}\)
Explanation:
To compare the mixed numbers first reduce them to their standard forms,
-7\(\frac{2}{5}\) = –\(\frac{37}{5}\) = -7.4
5\(\frac{1}{2}\) = \(\frac{11}{2}\) = 5.5
So, -7\(\frac{2}{5}\)  is less than 5\(\frac{1}{2}\)

Question 6.
–\(\frac{2}{5}\) HMH Into Math Grade 7 Module 8 Answer Key Solve Problems Using Inequalities 3 -0.35
Answer:
–\(\frac{2}{5}\) < -0.35
Explanation:
Convert fractional number to their standard form,
–\(\frac{2}{5}\) = -0.4
So, –\(\frac{2}{5}\)  is less than -0.35

Interpret, Write, and Graph Inequalities

For each inequality, circle the values in the box that can be substituted for the variable to make the inequality true.

Question 7.
x + 2.4 < 8.6
HMH Into Math Grade 7 Module 8 Answer Key Solve Problems Using Inequalities 4
Answer:

Explanation:
x + 2.4 < 8.6
x < 8.6 – 2.4
x < 6.2

Question 8.
\(\frac{1}{3}\)n > \(\frac{2}{5}\)
HMH Into Math Grade 7 Module 8 Answer Key Solve Problems Using Inequalities 5
Answer:

Explanation:
\(\frac{1}{3}\)n > \(\frac{2}{5}\)
n > \(\frac{2}{5}\) x \(\frac{3}{1}\)
n > \(\frac{6}{5}\)

Write an inequality to represent each situation.

Question 9.
The temperature t in a freezer must be at most -10 °F.
Answer:
temperature <= -10
Explanation:
At most means the temperature can be any value less than or equal to -10

Question 10.
A person’s weight w must be more than 110 pounds for the person to donate blood to a blood bank.
Answer:
w > 110

Explanation :
the weight should be greater than 110 pounds so we use < sign

Graph each inequality.

Question 11.
x < 16
HMH Into Math Grade 7 Module 8 Answer Key Solve Problems Using Inequalities 6
Answer:

Explanation:
x < 16
all the values below 16 can be considered x
x = 15 , 14 . 13 , 12 , 11, 10 , 9 , 8 , ………

Question 12.
n > 5.2
HMH Into Math Grade 7 Module 8 Answer Key Solve Problems Using Inequalities 7
Answer:

Explanation :
n > 5.2
All the values less than 5.2 are considered x

Leave a Comment

Scroll to Top
Scroll to Top