Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 7 Lesson 7.4 Simple Expressions regularly and improve your accuracy in solving questions.
Spectrum Math Grade 5 Chapter 7 Lesson 7.4 Simple Expressions Answers Key
Keywords can be used to figure out how to solve written expressions.
5 more than 3 times the sum of 4 and 2
5 + [3 × (4 + 2)]
Write the expression for each phrase.
Question 1.
2 less than 5
Answer:
5 – 2
Explanation:
Given,
2 less than 5
So, the expression for 2 less than 5 is 5 – 2.
Question 2.
3 times the sum of 4 and 12
Answer:
3 x (4 + 12)
Explanation:
Given,
3 times the sum of 4 and 12
The sum of 4 and 12 is written as, 4 + 12.
3 times of the sum is written as, 3 x (4 + 12)
So, the expression of 3 x (4 + 12)
Question 3.
10 more than the quotient of 15 and 3
Answer:
10 + (15 ÷ 3)
Explanation:
Given,
10 more than the quotient of 15 and 3.
The quotient of 15 and 3 is written as, (15 ÷ 3)
10 more than the quotient is written as, 10 + (15 ÷ 3)
So, the expression of 10 + (15 ÷ 3)
Question 4.
2 increased by 6 times 4
Answer:
2 + (6 x 4)
Explanation:
Given,
2 increased by 6 times 4.
6 times 4 is written as, 6 x 4.
2 increased by 6 times 4 is written as 2 x (6 x 4)
Question 5.
\(\frac{2}{3}\) of 30 minus 11
Answer:
\(\frac{2}{3}\) x (30 – 11)
Explanation:
Given,
\(\frac{2}{3}\) of 30 minus 11.
30 minus 11 is written as, 30 – 11.
So, the expression of \(\frac{2}{3}\) of 30 minus 11 is written as, \(\frac{2}{3}\) x 30 minus 11
Question 6.
Twice the difference between 8 and 2
Answer:
2 x (8 – 2)
Explanation:
Given,
Twice the difference between 8 and 2.
So, the difference between 8 and 2 is written as, 8 – 2
Therefore, the expression of twice the difference between 8 and 2 is written as, 2 x (8 – 2)
Question 7.
6 times 4 plus 3 times 4
Answer:
(6 x 4) + (3 x 4)
Explanation:
Given,
6 times 4 plus 3 times 4
6 times 4 is written as, 6 x 4
3 times 4 is written as, 3 x 4
So, the expression for 6 times 4 plus 3 times 4 is written as, (6 x 4) + (3 x 4)
Question 8.
\(\frac{1}{4}\) times 8 increased by 11
Answer:
\(\frac{1}{4}\) x (8 + 11)
Explanation:
Given,
\(\frac{1}{4}\) times 8 increased by 11
8 increased by 11 is written as, 8 + 11 = 19
So, the expression of \(\frac{1}{4}\) times 8 increased by 11 is written as, \(\frac{1}{4}\) x 8 increased by 11
Use each expression to write simple word problems.
Question 1.
3 × (2 + 8) ________________
Answer:
the product of 3 and the sum of 2 and 8
Explanation:
Given,
3 × (2 + 8)
2 + 8 is written as, the sum of 2 and 8.
3 times of the sum is written as, 3 × (2 + 8)
So, 3 × (2 + 8) is written as, the product of 3 and the sum of 2 and 8.
Question 2.
6 × (2 – \(\frac{1}{6}\)) ________________
Answer:
6 times the difference between 2 and \(\frac{1}{6}\)
Explanation:
Given,
6 × (2 – \(\frac{1}{6}\))
(2 – \(\frac{1}{6}\)) is written as, the difference between 2 and \(\frac{1}{6}\)
6 times of the difference is written as, 6 x (2 and \(\frac{1}{6}\))
So, 6 × (2 – \(\frac{1}{6}\)) is written as,
6 times the difference between 2 and \(\frac{1}{6}\)
Question 3.
5 × (3 + 5) _______________
Answer:
the product of 5 and the sum of 3 and 5
Explanation:
Given,
5 × (3 + 5)
(3 + 5) is written as, the sum of 3 and 5.
5 × (3 + 5) is written as, the product of 5 and the sum of 3 and 5.
Question 4.
20 ÷ (3 + 1) _______________
Answer:
the quotient of 20 and the sum of 3 and 1
Explanation:
Given,
20 ÷ (3 + 1)
(3 + 1) is written as the sum of 3 and 1.
20 ÷ (3 + 1) is written as, the quotient of 20 and the sum of 3 and 1.
Question 5.
\(\frac{1}{4}\) × 8 + 11 ______________
Answer:
\(\frac{1}{4}\) times of the sum of 8 and 11
Explanation:
Given,
\(\frac{1}{4}\) × 8 + 11
8 + 11 is written as the sum of 8 and 11.
\(\frac{1}{4}\) × 8 + 11 is written as, \(\frac{1}{4}\) times of the sum of 8 and 11.
Question 6.
12 × (3 + 5) _____________
Answer:
the product of 12 and the sum of 3 and 5
Explanation:
Given,
12 × (3 + 5)
(3 + 5) is written as the sum of 3 and 5.
12 × (3 + 5) is written as the product of 12 and the sum of 3 and 5.
Question 7.
(8 + 4) ÷ 2 ______________
Answer:
the sum of 8 and 4 divided by 2
Explanation:
Given,
(8 + 4) ÷ 2
(8 + 4) is written as the sum of 8 and 4.
(8 + 4) ÷ 2 is written as, the sum of 8 and 4 divided by 2.
Question 8.
9 × 4 + 7 _______________
Answer:
9 times 4 increased by 7
Explanation:
Given,
9 × 4 + 7
9 × 4 is written as, 9 times 4.
9 × 4 + 7 is written as, 9 times 4 increased by 7.