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 ____

Answer:

Given x and 5

When x is increased by 5 it is x + 5

b. 12 divided by a number ____

Answer:

Given 12 and the number

The Expression 12 divided by a number is written as 12 ÷ x

Question 2.

a. seven ns ____

Answer:

Given expression is written as 7n

b. c less than 7 _____

Answer:

Given c and 7

The Expression c less than 7 is c < 7

Question 3.

a. a number added to 15 is 23 ____

Answer:

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 ____

Answer:

Given variable x

The Expression for the one-fourth of x : 1 / 4x

Question 4.

a. p added to 6 _____

Answer:

Given p and 6

The Expression for p added to 6 is p + 6.

b. the product of 15 and m ____

Answer:

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. _____

Answer:

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. _____

Answer:

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. _____

Answer:

Let the number be n

Then it implies n ÷ 5 = 6

**Write each expression in words.**

Question 8.

n – 5 ______

Answer:

Given n and 5

The given Expression in words is written as the difference between n and 5.

Question 9.

3n ÷ 6 _____

Answer:

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 ____

Answer:

Given 8, 3 and d

Therefore the Expression subtract 8 from 3 times d is (3d – 8)

b. take away 3 from x _____

Answer:

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 ____

Answer:

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 ____

Answer:

Given z and 8

Therefore the Expression z is added to 8 is (z + 8)

Question 3.

a. the sum of 7 and z ____

Answer:

Given z and 7

Therefore the Expression sum of 7 and z is (7 + z)

b. 2 is subtracted from 4 times d ____

Answer:

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 ____

Answer:

b. 9 minus c ____

Answer:

Given 9 and c

Therefore the Expression 9 minus c is (9-c)

Question 5.

a. 10 minus x ____

Answer:

Given 10 and x

Therefore the Expression 10 minus x is (10-x)

b. subtract 9 from the product of 4 and f _____

Answer:

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 ____

Answer:

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 _____

Answer:

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 ___

Answer:

Given s and 9

Therefore the Expression when s is added to 9 is (s + 9)

b. the sum of 8 and t ____

Answer:

Given 8 and t

Therefore the Expression is (8 + t)

Question 8.

a. take away 9 from h ____

Answer:

Given 9 and h

Therefore the Expression is (h-9)

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

Answer:

**Write each expression in words.**

Question 9.

9 ÷ x _____

Answer:

Given 9 and x

The Expression in words is written as 9 divided by x.

Question 10.

3 × g = 27 ___________

Answer:

Given 3 and g

The Expression for the given Equation is a product of 3 and g is Nineteen.

Question 11.

6 × m – 4 ___________

Answer:

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 ___________

Answer:

The given equation written in words is 1/2 times b plus 9 is 11

Question 13.

14 ÷ p _____

Answer:

Given 14 and p

Therefore the Expression is Divide 14 with the p.

Question 14.

6 × b = 42 ___________

Answer:

Given 6, b and 42

The Equation is product of 6 and b is equal to 42.

Question 15.

9 × d – 10 ________

Answer:

Given 9, d and 10

The Expression is to Subtract 10 from the product of 9 and d.

Question 16.

\(\frac{1}{4}\) × t + 8 = 16 _____________

Answer:

The Expression in Words is 1/4 times t plus 8 is equal to 16.