Texas Go Math Grade 7 Module 4 Answer Key Proportionality in Geometry

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Texas Go Math Grade 7 Module 4 Answer Key Proportionality in Geometry

Texas Go Math Grade 7 Module 4 Are You Ready? Answer Key

Write each fraction in simplest form.

Question 1.
\(\frac{25}{30}\) ___________
Answer:
Simplify . \(\frac{25}{30}\)
1. List all the factors of the numerator and denominator.
2. Circle the greatest common factor (GCF).
3. Divide the numerator and denominator by the GCF.
25: 1, , 25
30: 1, 2, 3, , 6, 10, 15, 30
\(\frac{25 \div 5}{30 \div 5}\) = \(\frac{5}{6}\)

Question 2.
\(\frac{27}{36}\) ___________
Answer:
Simplify . \(\frac{27}{36}\)
1. List all the factors of the numerator and denominator.
2. Circle the greatest common factor (GCF).
3. Divide the numerator and denominator by the GCF.
27: 1, 3, , 27
36: 1, 2. 3, 4, 6, , 12, 18, 36
\(\frac{27 \div 9}{36 \div 9}\) = \(\frac{3}{4}\)

Question 3.
\(\frac{14}{19}\) ___________
Answer:
Simiplify \(\frac{14}{19}\)
1. List ail the factors of the numerator and denominator.
2. Circle the greatest common factor (GCF).
3. Divide the numerator and denominator by the GCF.
14: 1, , 7, 14
16: 1, , 4, 8, 16
\(\frac{14 \div 2}{16 \div 2}\) = \(\frac{7}{8}\)

Question 4.
\(\frac{15}{45}\) ___________
Answer:
Simplify \(\frac{15}{45}\)
1. List ail the factors of the nuiiiera.tor and denominator.
2. Circle the greatest common factor (GCF).
3. Divide the numerator anti denominator by the GCF.
15: 1. 3, 5,
30: 1. 3, 5. 9, , 45
\(\frac{15 \div 15}{45 \div 15}\) = \(\frac{1}{3}\)

Write each fraction as a decimal.

Question 5.
\(\frac{4}{5}\) ________
Answer:
Use long division to write the fraction as a decimal:

Question 6.
\(\frac{3}{8}\) __________
Answer:
Use long division to write the fraction as a decimal:

Question 7.
\(\frac{15}{16}\) ____________
Answer:
Use long division to write the fraction as a decimal:

Question 8.
\(\frac{13}{20}\) ____________
Answer:
Use long division to write the fraction as a decimal:

Find the area of each rectangle.

Question 9.
l = 10 cm, w = 4cm __________
Answer:
A = l × w
A = 10 × 4
A = 40 cm²

Question 10.
l = 14 in., w = 9.5 in. ________
Answer:
A = l × w
A = 14 × 9.5
A = 133 in.²

Question 11.
l = 0.7cm, w = 0.35cm _______
Answer:
A = l × w
A = 0.7 × 0.35
A = 0.245 cm²

Question 12.
l = \(\frac{2}{3}\) yd, w = \(\frac{1}{2}\) yd ___________
Answer:
A = l × w
A = \(\frac{2}{3}\) × \(\frac{1}{2}\)
A = \(\frac{1}{3}\) yd²

Texas Go Math Grade 7 Module 4 Reading Start-Up Answer Key

Visualize Vocabulary

Use the ✓ words to complete the graphic. You may put more than one word on each line.

Understand Vocabulary

Complete the sentences using the preview words.

Question 1.
What is a proportional two-dimensional drawing of an object? ______________________
Answer:
A proportional two-dimensional drawing of an object is scale drawing.

Question 2.
What is the distance around a circle? ______________________
Answer:
The distance around a circle is circumference.

Question 3.
What is a line segment that passes through the center of a circle and has both endpoints on the circle? _______________________
Answer:
A line segment that passes through the center of a circle and has both endpoints on the circle is diameter.

Active Reading
Key-Term Fold Before beginning the module, create a key-term fold to help you learn the vocabulary in this module. Write each highlighted vocabulary word on one side of a flap. Write the definition for each word on the other side of the flap. Use the key-term fold to quiz yourself on the definitions in this module.