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Texas Go Math Grade 7 Module 1 Quiz Answer Key
Texas Go Math Grade 7 Module 1 Ready to Go On? Answer Key
1.1 Rational Numbers and Decimals
Write each mixed number as a decimal.
Question 1.
4\(\frac{1}{5}\) __________
Answer:
First. write \(\frac{1}{5}\) as a decimal.
Then, add 4 to the result.
4 + 0.2 = 4.2
Question 2.
12\(\frac{14}{15}\) _________
Answer:
First. write \(\frac{14}{15}\) as a decimal.
Then, add 12 to the result.
12 + \(0.9 \overline{3}\) = \(12.9 \overline{3}\)
Question 3.
5\(\frac{5}{32}\) ___________
Answer:
First. write \(\frac{5}{32}\) as a decimal.
Then, add 5 to the result.
5 + 0.15625 = 5.15625
1.2 Relationships Between Sets of Numbers
Question 4.
Are all whole numbers rational numbers? Explain.
Answer:
True Every whole number is included in the set of integers, and every integer is incLuded in the set of rational numbers.
Whole numbers are a subset of the set of rational numbers
1.3 Adding Rational Numbers
Find each sum.
Question 5.
4.5 + 7.1 = _____________
Answer:
11.6
Question 6.
5\(\frac{1}{6}\) + (-3\(\frac{5}{6}\)) = ____________
Answer:
Write mixed fractions as proper fractions.
1.4 Subtracting Rational Numbers
Find each difference.
Question 7.
–\(\frac{1}{8}\) – (6\(\frac{7}{8}\)) = _____________
Answer:
= -6\(\frac{8}{8}\)
= -7
Question 8.
14.2 – (-4.9) = ___________
Answer:
= 14.2 + 4.9
= 19.1
1.5 Multiplying Rational Numbers
Multiply.
Question 9.
-4(\(\frac{7}{10}\)) = _______________
Answer:
Question 10.
-3.2(-5.6)(4) = ___________
Answer:
The result will be positive, because the expression has an even number of negative signs.
= 3.2(5.6)(4)
= 17.92(4)
= 71.68
1.6 Dividing Rational Numbers
Find each quotient.
Question 11
–\(\frac{19}{2}\) ÷ \(\frac{38}{7}\) = _______________
Answer:
= -8 ÷ \(\frac{38}{7}\)
Write using multiplication:
= -8 × \(\frac{7}{38}\)
= – \(\frac{28}{19}\) (= -1\(\frac{9}{28}\))
Question 12.
\(\frac{-32.01}{-3.3}\) = ___________
Answer:
The quotient will be positive because the signs are the same.
Write decimal numbers as fractions:
\(\frac{\frac{3201}{100}}{\frac{33}{10}}\)
Write the complex fraction as division:
\(\frac{3201}{100}\) ÷ \(\frac{33}{10}\)
Write using multiplication:
\(\frac{3201}{100}\) \(\frac{10}{33}\) = \(\frac{97}{10}\)
= 9.7
Essential Question
Question 13.
How can you use rational numbers to represent real-world problems?
Answer:
We can use rational numbers to represent real-world problems by expressing some kind of ratio.
E g
Martha planted 30 flowers, 24 of them did not wither. Her success rate was \(\frac{24}{31}\).
Texas Go Math Grade 7 Module 1 Mixed Review Texas Test Prep Answer Key
Selected Response
Question 1.
What is -7\(\frac{5}{12}\) written as a decimal?
A. -7.25
B. -7.333.
C. -7.41666…
D. -7.512
Answer:
C. -7.41666…
First, write \(\frac{5}{12}\) as a decimal.
Then, add 7 to the result.
7 + \(0.41 \overline{6}\) = \(7.41 \overline{6}\)
Now, since the starting number was negative, this one has to be negative too.
-7\(\frac{5}{12}\) = –\(7.41 \overline{6}\)
Question 2.
Which set or sets does the number -9\(\frac{1}{2}\) belong to?
A. Integers only
B. Rational numbers only
C. Integers and rational numbers only.
D. Whole numbers, integers, and rational numbers
Answer:
B. Rational numbers only
-9\(\frac{1}{2}\) is a mixed fraction. Thus, it is onLy a rational number.
Question 3.
Renee ate \(\frac{1}{4}\) of a pizza, and Sumi ate of the same pizza. How much of the pizza did they eat in all?
A. \(\frac{1}{7}\) of the pizza
B. \(\frac{2}{7}\) of the pizza
C. \(\frac{5}{12}\) of the pizza
D. \(\frac{7}{12}\) of the pizza
Answer:
D. \(\frac{7}{12}\) of the pizza
We have to add how much Renee ate, and how much Sumi ate.
\(\frac{1}{4}\) + \(\frac{1}{3}\) = \(\frac{3+4}{12}\)
= \(\frac{7}{12}\)
Renee and Sumi ate \(\frac{7}{12}\) of the pizza
Question 4.
Kareem had $25 in his bank account on Monday. The table shows his account activity for the next four days. What was the balance in Kareem’s account on Friday?
A. $59.23
B. -$9.23
C. $9.23
D. -$59.23
Answer:
A. $59.23
Use positive numbers to represent deposit and negative numbers to represent withdrawal. Then, add it up to account’s balance before any deposits or withdrawals, 25.
25 + (-13.50) + 85.10 + (-55.32) + 17.95 = 25 + 85.10 + 17.95 – 13.50 – 55.32
= – 110.10 + 17.95 – 13.50 – 55.32
= 128.05 – 13.50 – 55.32
= 114.55 – 55.32
= 59.2:3
The balance in Kareem’s account. on Friday was $59.23.
Question 5.
A used boat is on sale for $2,400. Austin makes an offer equal to of this price. How much does Austin offer for the boat?
A. $3,600
B. $1,600
C. $1,800
D. $800
Answer:
C. $1,800
Start by multiplying 2400 and \(\frac{2}{3}\).
2400 × \(\frac{2}{3}\) = 1600
Austin offers $1600.
Question 6.
Working together, 9 friends pick 23 bags of apples at an orchard. They divide the bags of apples equally between them. How many bags does each friend get?
A. 32\(\frac{2}{5}\) bags
B. 14\(\frac{2}{5}\) bags
C. 2\(\frac{3}{5}\) bags
D. 2\(\frac{5}{9}\) bags
Answer:
C. 2\(\frac{3}{5}\) bags
Start with dividing 23\(\frac{2}{5}\) by 9:
23\(\frac{2}{5}\) ÷ 9
Write mixed fraction as proper fraction:
\(\frac{117}{5}\) ÷ 9
Write using multiplication:
\(\frac{117}{5}\) × \(\frac{1}{9}\) = \(\frac{13}{5}\)
= 2\(\frac{3}{5}\)
Each friend gets 2\(\frac{3}{5}\) bags
Question 7.
The Flathead Rail Tunnel in Montana is about 7\(\frac{3}{4}\) miles long. A train travels at a speed of \(\frac{3}{4}\) mile per minute. How long will it take the train to go through the tunnel?
A. \(\frac{7}{16}\) minute
B. 5\(\frac{3}{16}\) minutes
C. 8\(\frac{1}{3}\) minutes
D. 10\(\frac{1}{3}\) minutes
Answer:
D. 10\(\frac{1}{3}\) minutes
Start with diving by 7\(\frac{3}{4}\) by \(\frac{3}{4}\).
Write mixed fraction as proper fraction:
\(\frac{31}{4}\) ÷ \(\frac{3}{4}\)
Write using multiplication:
\(\frac{31}{4}\) × \(\frac{4}{3}\) = \(\frac{31}{3}\)
= 10\(\frac{1}{3}\)
The train will 10\(\frac{1}{3}\) minutes to pass the tunnel.
Gridded Response
Question 8.
What is the value of (-2.75 )(-1 .16)?
Answer:
Given in problem: (-2.75)(-1.16)
SoLution will be: (- 2.75)(- 1.16) = +3.19
Final product of the expression will be positive because the product of two negative vaLue is always positive.
The table will be made as per below instructions:
1st column: mark + sign
2nd column : mark 0
3rd column : mark 0
4th column : mark 1
5th column : mark 7
6th column: mark 9
7th column: mark 4