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