# Spectrum Math Grade 6 Chapter 5 Lesson 3 Answer Key Writing Expressions

Go through the Spectrum Math Grade 6 Answer Key Chapter 5 Lesson 5.3 Writing Expressions and get the proper assistance needed during your homework.

## Spectrum Math Grade 6 Chapter 5 Lesson 5.3 Writing Expressions Answers Key

An equation is a number sentence that contains an equal sign.
An expression is a number phrase without an equal sign.
Equations and expressions may contain only numerals, or they also may contain variables. A variable is a symbol, usually a letter, that stands for an unknown number.

All equations and expressions express an idea.
3 × 4 means “three 4s.” 6 ÷ 3 = 2 means “6 divided by 3 is 2.”
n – 7 means “n decreased by 7” or “a number decreased by 7.”
4n+ 2 = 6 means “four times a number, plus 2, is 6” or “4ns, plus 2, is 6.”

Translate each phrase into an expression or an equation.

Question 1.
a. x increased by 5 ____
Given x and 5
When x is increased by 5  it is  x + 5

b. 12 divided by a number ____
Given 12 and the number
The Expression 12 divided by a number is written as 12 ÷ x

Question 2.
a. seven ns ____
Given expression is written as 7n

b. c less than 7 _____
Given c and 7
The Expression c less than 7 is  c < 7

Question 3.
a. a number added to 15 is 23 ____
Given 15 and 23
The Expression a number added to 15 is 23 can be written as 15 + x = 23
x = 23 – 15
x = 8

b. one-fourth of x ____
Given variable x
The Expression for the one-fourth of x  : 1 / 4x

Question 4.
a. p added to 6 _____
Given p and 6
The Expression for p added to 6 is p + 6.

b. the product of 15 and m ____
Given 15 and m
The Expression for the product of 15 and m is: 15 x m

Translate each sentence into an equation. Use n for an unknown number.

Question 5.
a. 11 decreased by a number is 7. _____
Given 11 and 7
Let n be the unknown number
The Expression when 11 decreased by n is 7 is written as 11- n = 7

Question 6.
8 times a number, plus 4, is 84. _____
Given 8 , 4
8 times a = 8 x a
8 times plus 4 = 8a + 4
Therefore the Equation when 8 times a number, plus 4, is 84 = (8a+4) = 84

Question 7.
A number divided by 5 is 6. _____
Let the number be n
Then it implies n ÷ 5 = 6

Write each expression in words.

Question 8.
n – 5 ______
Given n and 5
The given Expression in words is written as the difference between n and 5.

Question 9.
3n ÷ 6 _____
Given 3, n and 6
Given the product of 3 and n is divisible by the number 6.

Translate each phrase into an algebraic expression or an equation.

Question 1.
a. subtract 8 from 3 times d ____
Given 8, 3 and d
Therefore the Expression subtract 8 from 3 times d is (3d – 8)

b. take away 3 from x _____
Given 3 and x
Therefore the Expression take away 3 from x is written as ( x -3)

Question 2.
a. a minus 2 is 14 ____
Given a, 2 and 14
The Equation a minus 2 is 14 can be written as (a-2) = 14

b. z is added to 8 ____
Given z and 8
Therefore the Expression z is added to 8 is (z + 8)

Question 3.
a. the sum of 7 and z ____
Given z and 7
Therefore the Expression sum of 7 and z is (7 + z)

b. 2 is subtracted from 4 times d ____
Given 2, 4 and d
Therefore the Expression for 2 is subtracted from 4 times d is (4d -2)

Question 4.
a. two-fifths of the sum of 6 and s ____

b. 9 minus c ____
Given 9 and c
Therefore the Expression 9 minus c is (9-c)

Question 5.
a. 10 minus x ____
Given 10 and x
Therefore the Expression 10 minus x is (10-x)

b. subtract 9 from the product of 4 and f _____
Given 9,4 and f
Product of 4 and f = 4 x f
Therefore the Expression to subtract 9 from the product of 4 and f  is (4f-9)

Question 6.
a. 3 is subtracted from 5 times a ____
Given a, 3 and 5
5 times a = 5.a
Therefore the Expression when 3 is subtracted from 5 times a = (5a-3)

b. y minus 3 is 15 _____
Given y, 3 and 15
y minus 3 = y – 3
Therefore the Equation when y minus 3 is 15 : (y-3)=15

Question 7.
a. s is added to 9 ___
Given s and 9
Therefore the Expression when s is added to 9 is (s + 9)

b. the sum of 8 and t ____
Given 8 and t
Therefore the Expression is (8 + t)

Question 8.
a. take away 9 from h ____
Given 9 and h
Therefore the Expression is (h-9)

b. one-third of the sum of 7 and k ____

Write each expression in words.

Question 9.
9 ÷ x _____
Given 9 and x
The Expression in words is written as 9 divided by x.

Question 10.
3 × g = 27 ___________
Given 3 and g
The Expression for the given Equation is a product of 3 and g is Nineteen.

Question 11.
6 × m – 4 ___________
Given 6, m and 4
The Expression in words is Subtracting 4 from the product of 6 and m.

Question 12.
$$\frac{1}{2}$$ × b + 9 = 11 ___________
The given equation written in words is 1/2 times b plus 9 is 11

Question 13.
14 ÷ p _____
Given 14 and p
Therefore the Expression is Divide 14 with the p.

Question 14.
6 × b = 42 ___________
Given 6, b and 42
The Equation is product of 6 and b is equal to 42.

Question 15.
9 × d – 10 ________
$$\frac{1}{4}$$ × t + 8 = 16 _____________