Practice the problems of Math in Focus Grade 6 Workbook Answer Key Chapter 7 Algebraic Expressions to score better marks in the exam.

## Math in Focus Grade 6 Course 1 A Chapter 7 Answer Key Algebraic Expressions

### Math in Focus Grade 6 Chapter 7 Quick Check Answer Key

**Draw a bar model to show each operation.**

Question 1.

15 + 4

Answer:

19

Explanation:

Question 2.

17 – 9

Answer:

8

Explanation:

Question 3.

6 × 5

Answer:

30

Explanation:

Question 4.

28 ÷ 4

Answer:

7

Explanation:

**Find the common factors and greatest common factor of each pair of numbers.**

Question 5.

6 and 9

Answer:

Common Factor 1,3

Greatest Common Factor 3

Explanation:

To find the greatest common factor (GCF) between numbers,

take each number and write it’s prime factorization.

6 factors 1, 2, 3, 6

9 factors 1, 3,

Then, identify the factors common to each number and multiply those common factors together.

Question 6.

4 and 12

Answer:

Common Factor 1, 2, 4

Greatest Common Factor 4

Explanation:

To find the greatest common factor (GCF) between numbers,

take each number and write it’s prime factorization.

4 factors 1, 2, 4

12 factors 1, 2, 3, 4, 6

Then, identify the factors common to each number and multiply those common factors together.

Question 7.

5 and 15

Answer:

Common Factor 1, 5

Greatest Common Factor 5

Explanation:

To find the greatest common factor (GCF) between numbers,

take each number and write it’s prime factorization.

5 factors 1, 5

15 factors 1, 3, 5

Then, identify the factors common to each number and multiply those common factors together.

Question 8.

8 and 28

Answer:

Common Factor 1, 2, 4

Greatest Common Factor 4

Explanation:

To find the greatest common factor (GCF) between numbers,

take each number and write it’s prime factorization.

8 factors 1, 2, 4, 8

28 factors 1, 2, 4, 7, 14, 28

Then, identify the factors common to each number and multiply those common factors together.

**Complete with quotient, sum, difference, product, dividend, or divisor.**

Question 9.

The “5 less than 7” is 7 – 5.

Answer:

Difference

Explanation:

“5 less than 7” is 7 – 5.

the difference of 7 – 5 = 2

Question 10.

The of 5 and 7 is \(\frac{5}{7}\). 7 is the and 5 is the .

Answer:

The fraction of 5 and 7 is \(\frac{5}{7}\). 7 is the divisor and 5 is the dividend.

Explanation:

The fractions are defined as the parts of a whole.

The dividend is the number that is being divided in the division process.

The number by which dividend is being divided by is called divisor.

Question 11.

The of 5 and 7 is 7× 5.

Answer:

Product

Explanation:

The product of 5 and 7 is 7× 5.

When we multiply 2 numbers we call as product.

Question 12.

The of 5 and 7 is 5 + 7.

Answer:

Sum

Explanation:

The sum of 5 and 7 is 5 + 7.

sum can be defined as the result or answer we get on adding two or more numbers.