Go through the **Spectrum Math Grade 6 Answer Key Chapter 5 Lesson 5.2 Parts of an Expression** and get the proper assistance needed during your homework.

## Spectrum Math Grade 6 Chapter 5 Lesson 5.2 Parts of an Expression Answers Key

A variable is a symbol, usually a letter of the alphabet, that stands for an unknown number, or quantity, a = variable.

An algebraic expression is a combination of numbers, variables, and at least one operation. x+ 13

A term is a number, variable, product, or quotient in an algebraic expression. In 3a + 5, 3a is a term and 5 also is a term.

The term 3a means 3 × a. The number 3 is the coefficient of a. A coefficient is a number that multiplies a variable. In the expression x + 5, the coefficient of x is understood to be 1.

An equation is a sentence that contains an equal sign, x + 13 = 25

**Identify each of the following as an expression or an equation.**

Question 1.

a. 3 + x ____

Answer:

It is an Expression which contains a one numerical value and it doesn’t contain any Equality(=) symbol.

b. 7 + 4 = 11 ____

Answer:

The given Example is an Equation which is having an Equality(=) Symbol indicating the equality.

c. 55 × n ____

Answer:

It is an Expression which contains a one numerical value and it doesn’t contain any Equality(=) symbol.

Question 2.

a. x – 7 = 15 ____

Answer:

The given Example is an Equation which is having an Equality(=) Symbol indicating the equality.

b. b – 45 ____

Answer:

It is an Expression which contains a one numerical value and it doesn’t contain any Equality(=) symbol.

c. 24 = 6 × 4 _____

Answer:

The given Example is an Equation which is having an Equality(=) Symbol indicating the equality.

**For each term below, identify the coefficient and the variable.**

Question 3.

a. 3x coefficient ____ variable _____

Answer:

Given term is 3x.

Variable (V) : x

Coefficient (C)= 3

b. 4y coefficient ____ variable _____

Answer:

Given term is 4y.

Variable (V) : y

Coefficient (C)= 4

Question 4.

a. z coefficient ____ variable _____

Answer:

Given term is z.

Variable (V) : z

Coefficient (C)= 1

b. 5n coefficient ____ variable _____

Answer:

Given term is 5n.

Variable (V) : n

Coefficient (C)= 5

Question 5.

a. 7b coefficient ____ variable _____

Answer:

Given term is 7b.

Variable (V) : b

Coefficient (C)= 7

b. m coefficient ____ variable _____

Answer:

Given term is m.

Variable (V) : m

Coefficient (C)= 1

Question 6.

a. r coefficient ____ variable _____

Answer:

Given term is r.

Variable (V) : r

Coefficient (C)= 1

b. 6d coefficient ____ variable _____

Answer:

Given term is 6d.

Variable (V) : d

Coefficient (C)= 6

**Translate each phrase into an algebraic expression.**

Question 7.

a. five more than n ____

Answer:

Given 5 and x

Therefore the Expression for the Given phrase is 5 > x

b. eight decreased by x ____

Answer:

Given 8 and x

Therefore the Expression for the Given phrase is (8-x).

Question 8.

a. x added to seven ____

Answer:

Given x and 7

Therefore the Expression for the Given phrase is (x + 7).

b. the product of n and 11 _____

Answer:

Given n and 11

Therefore the Expression for the Given phrase is (n .11)

**Translate each sentence into an equation.**

Question 9.

a. Six times a number is 18. ____

Answer:

Let the number be x

Therefore 6. x = 18

x = 18 / 3

x = 3

Hence The Expression for 6 times 3 is 18. (6.3) = 18

b. Seventy less a number is 29. ____

Answer:

Given 70 and 29

Since less than is given we must subtract i.e. 70 – 29 = 41

Therefore the Expression is (70-41)= 29.

Question 10.

a. Eight divided by a number is 2. ____

Answer:

Let the Number be x

Then , 8 ÷ x = 2

2. x = 8

x = 4

Therefore the Expression is written as (8 ÷ 4) = 2

b. The product of 7 and 12 is 84. _____

Answer:

Given 7 and 12

Therefore the Expression is = (7.12)= 84

**Write the following expressions in words.**

Question 11.

6 – n = 3 _____________

Answer:

Given 6 , n and 3

Subtracting n from 6 generates 3

Question 12.

5 × 13 = 65 _____

Answer:

Given numbers are 5, 3 and 15

Therefore the Equation is product of 5 and 13 generates sixty five.

**Identify each of the following as an expression or an equation.**

Question 1.

a. 8 + x _____

Answer:

It is an Expression which contains a one numerical value and it doesn’t contain any Equality(=) symbol.

b. 9 + 7 = 16 _____

Answer:

The given Example is an Equation which is having an Equality(=) Symbol indicating the equality

c. 20 × m = 60 ____

Answer:

The given Example is an Equation which is having an Equality(=) Symbol indicating the equality

Question 2.

a. b ÷ 5 ______

Answer:

It is an Expression which contains a one numerical value and it doesn’t contain any Equality(=) symbol.

b. 32 = 8 × 4 ______

Answer:

The given Example is an Equation which is having an Equality(=) Symbol indicating the equality

c. 43 × 7 ____

Answer:

It is an Expression which contains a one numerical value and it doesn’t contain any Equality(=) symbol.

Question 3.

a. 4h _____

Answer:

It is an Expression which contains a one numerical value and it doesn’t contain any Equality(=) symbol.

b. 91 – 20 = 71 ______

Answer:

The given Example is an Equation which is having an Equality(=) Symbol indicating the equality

c. 17 + c _____

Answer:

It is an Expression which contains a one numerical value and it doesn’t contain any Equality(=) symbol.

Question 4.

a. 36 = 9 × 4 ______

Answer:

The given Example is an Equation which is having an Equality(=) Symbol indicating the equality

b. 65 – x ______

Answer:

It is an Expression which contains a one numerical value and it doesn’t contain any Equality(=) symbol.

c. 30f ______

Answer:

It is an Expression which contains a one numerical value and it doesn’t contain any Equality(=) symbol.

**For each term below, identify the coefficient and the variable.**

Question 5.

a. 6g coefficient ____ variable ____

Answer:

Given term is 6g.

Variable (V) : g

Coefficient (C)= 6

b. p coefficient ____ variable ____

Answer:

Given term is p.

Variable (V) : p

Coefficient (C)= 1

Question 6.

a. 5r coefficient ___ variable ____

Answer:

Given term is 5r.

Variable (V) : r

Coefficient (C)= 5

b. 9t coefficient ____ variable ____

Answer:

Given term is 9t.

Variable (V) : t

Coefficient (C)= 9

Question 7.

a. 2x coefficient ____ variable

Answer:

Given term is 2x.

Variable (V) : x

Coefficient (C)= 2

b. 4n coefficient ____ variable ____

Answer:

Given term is 4n.

Variable (V) : n

Coefficient (C)= 4

Question 8.

a. 3a coefficient ____ variable ____

Answer:

Given term is 3a.

Variable (V) : a

Coefficient (C)= 3

b. 7d coefficient ____ variable ____

Answer:

Given term is 7d.

Variable (V) : d

Coefficient (C)= 7

Question 9.

a. 20s coefficient ____ variable ____

Answer:

Given term is 20s.

Variable (V) : s

Coefficient (C)= 20

b. y coefficient ____ variable ____

Answer:

Given term is y.

Variable (V) : y

Coefficient (C)= 1

**Translate each phrase into an expression or an equation.**

Question 10.

a. the sum of 3 and b _____________

Answer:

Given 3 and b

The Expression for sum of 3 and b is = (3+b).

b. 8 times the sum of f and 7 _____

Answer:

Given 8 , 5 and 7

The Expression for 8 times the sum of f and 7= 8 .(f+7)

Question 11.

a. product of 8 and d _____________

Answer:

Given 8 and d

Therefore the product of 8 and d is = (8.d)

b. p added to 4 equals 9 _____

Answer:

Given p , 4 and 9

When p is added for 4 = 9

The Expression for p added to 4 Equals to 9 is: (p+4) =9

Question 12.

a. subtract 3 from 4 times m _______________

Answer:

Given 3, 4 and m

Therefore the Expression for subtract 3 from 4 times m is = (4.m- 3)

b. r minus 2 is 8 _____

Answer:

Given r, 2 and 8

r – 2 is 8

Therefore the Expression for r minus 2 is 8 : (r-2) = 8

Question 13.

a. 4 times the sum of 5 and x _____________

Answer:

Given 4, 5 and x

Sum of 5 and x = 5+ x

Therefore 4 times the sum of 5 and x is = 4.( 5+x)

b. product of 10 and 2 ____

Answer:

Given 10 and 2

Therefore the product of 10 and 2 = (10. 2)

Question 14.

a. 12 times r minus 7 ______________

Answer:

Given 12, r and 7

r minus 7 = r -7

Therefore 12 times r minus 7 = 12.(r-7)

b. the sum of 9 and k _____________

Answer:

Given 9 and k

Therefore the Sum of 9 and k is = 9+ k