﻿ Numerical Expressions Worksheet | Problems & Solutions

# Numerical Expressions Worksheet

Numerical Expressions Worksheet
• Page 1
1.
Sam had 72 dimes. He gave 51 dimes to Jack and got 45 dimes from his father. Identify the number sentence that shows the number of dimes with Sam now.
 a. 72 + 51 - 45 b. 72 - 51 + 45 c. 70 - 50 + 40 d. 72 - 51 - 45

#### Solution:

Sam had 72 dimes. He gave 51 dimes to Jack and got 45 dimes from his father.

Number of dimes left with Sam after giving 51 dimes to Jack = 72 - 51
[Write a number sentence.]

Number of dimes with Sam after getting 45 dimes from his father = 72 - 51 + 45

The number sentence that shows the number of dimes with Sam now is 72 - 51 + 45.

2.
Maria had 72 stamps. Stephen gave her 25 stamps. Maria gave 40 stamps to Sally. How many stamps would Maria have now?

 a. 72 - 25 + 40 b. 72 + 25 - 40 c. 70 + 20 + 40 d. 72 + 25 + 40

#### Solution:

Maria had 72 stamps. Stephen gave her 25 stamps. Maria gave 40 stamps to Sally.

Number of stamps with Maria after getting 25 from Stephen = 72 + 25
[Write a number sentence.]

Number of stamps with Maria after giving 40 stamps to Sally = 72 + 25 - 40

The number sentence that would help me solve this problem is 72 + 25 - 40.

3.
Sally bought 79 oranges. She threw 24 oranges away as they were rotten. She bought 30 more oranges. Which number sentence shows the number of oranges Sally has?
 a. 79 + 24 + 30 b. 79 - 24 + 30 c. 79 + 24 - 30 d. 79 - 24 - 30

#### Solution:

Sally has 79 oranges

After throwing 24 she has 79 - 24 oranges

After buying again 30 more she has 79 - 24 + 30 oranges

4.
Steve had 15 story books with him. He gave 7 of them to Ted. In return, Ted gave 8 story books to Steve. Identify the number sentence that tells you the number of story books that Steve has now.
 a. 15 + 7 - 8 b. 15 + 7 + 8 c. 15 - 7 - 8 d. 15 - 7 + 8

#### Solution:

After giving 7 books to Ted he has 15 -7 books

After again getting 8 more books from Ted Steve now has 15 - 7 + 8 books

5.
Jill made 25 apple pies. She sold 15 of them and then made 9 more pies. How many pies does she have now for sale?
Select the correct number sentence that would solve the problem .
 a. 25 - 15 - 9 b. 25 - 15 + 9 c. 25 + 15 + 9 d. 25 +15 - 9

#### Solution:

After selling 15, she had 25 - 15 apple pies

After again making 9 more Jill had 25 - 15 + 9 apple pies

6.
Brian has 4 red crayons. Charles has 7 green crayons. Which number sentence would you use to find the total number of crayons they have?
 a. $\begin{array}{|c|}\hline \\ \hline\end{array}$ + 4 = 7 b. 4 + 7 =  $\begin{array}{|c|}\hline \\ \hline\end{array}$ c. 7 - 4 =  $\begin{array}{|c|}\hline \\ \hline\end{array}$ d. $\begin{array}{|c|}\hline \\ \hline\end{array}$ - 4 = 11

#### Solution:

Brian has 4 red crayons and Charles has 7 green crayons.
[Given]

Total number of crayons = Number of crayons with Brian + Number of crayons with Charles.

So, the required equation is 4 + 7 =

7.
Henry bought 4 gallons of paint. After painting his house, he was left with 1 gallon of it. Which expression represents the gallons of paint used by him?
 a. $\begin{array}{|c|}\hline \\ \hline\end{array}$ - 4 = 1 b. 4 -  $\begin{array}{|c|}\hline \\ \hline\end{array}$ = 1 c. $\begin{array}{|c|}\hline \\ \hline\end{array}$ + 4 = 1 d. $\begin{array}{|c|}\hline \\ \hline\end{array}$ - 1 = 4

#### Solution:

Henry bought 4 gallons of paint and left with 1 gallon.
[Given]

Number of gallons of paint used = Number of gallons he bought - the number of gallons left.

So, the required equation is 4 -   = 1.

8.
Jenny had $5 and bought a toy of cost$3. Which equation represents the amount she was left with?
 a. $\begin{array}{|c|}\hline \\ \hline\end{array}$ - 3 = 5 b. $\begin{array}{|c|}\hline \\ \hline\end{array}$ - 5 = 3 c. 5 - 3 =  $\begin{array}{|c|}\hline \\ \hline\end{array}$ d. 5 + 3 =  $\begin{array}{|c|}\hline \\ \hline\end{array}$

#### Solution:

Jenny had $5 and the cost of toy was$3.
[Given]

The amount she was left with = Money she had initially - Cost of the toy.

So, the required equation is 5 - 3 =

9.
Jack read 30 pages of a book in 2 days. First day, he read 12 pages. Which equation helps you find the number of pages he read on the second day?
 a. 30 +  $\begin{array}{|c|}\hline \\ \hline\end{array}$ = 12 b. 12 -  $\begin{array}{|c|}\hline \\ \hline\end{array}$ = 30 c. 12 +  $\begin{array}{|c|}\hline \\ \hline\end{array}$ = 30 d. 12 + 30 =  $\begin{array}{|c|}\hline \\ \hline\end{array}$

#### Solution:

Total number of pages Jack read = 30.
[Given]

On the first day, he read 12 pages.
[Given]

Number of pages he read on the second day = Total number of pages read - Number of pages he read on the first day.

So, the required equation is 12 +   = 30.

10.
Sarah is 20 years old. Kelly is 5 years older than Sarah. Which equation helps you to find how old Kelly is?
 a. 20 + 5 =  $\begin{array}{|c|}\hline \\ \hline\end{array}$ b. 20 - 5 =  $\begin{array}{|c|}\hline \\ \hline\end{array}$ c. $\begin{array}{|c|}\hline \\ \hline\end{array}$ + 20 = 5 d. $\begin{array}{|c|}\hline \\ \hline\end{array}$ + 5 = 20

#### Solution:

Sarah is 20 years old and Kelly is 5 years older than Sarah.
[Given]

5 added with 20 will give the age of Kelly.

So, 20 + 5 =   is the required equation.