﻿ Algebraic Concepts Worksheet | Problems & Solutions

# Algebraic Concepts Worksheet

Algebraic Concepts Worksheet
• Page 1
1.
John was sick for 4 days of a particular week. Choose the number sentence to calculate the number of days, $n$, John was not sick in that week.
 a. 7 - 4 = $n$ b. 7 + 4 = $n$ c. 4$n$ = 7 d. 7$n$ = 4

2.
Lily read 61 pages of a book containing 93 pages. Choose the number sentence that helps you to calculate the number of pages, $n$, to be read to complete the book.
 a. 61 - $n$ = 93 b. 93 - 61 = $n$ c. 61 + 93 = $n$ d. $n$ + 93 = 61

3.
In Frank's class, 33 out of the 53 students are boys. Match the number sentence that helps you find the number of girls in the class.
 a. 33 + 53 = $n$ b. 53 + $n$ = 33 c. 53 - 33 = $n$ d. 33 × $n$ = 53

4.
George has 79 marbles. He gave Kelly 46 marbles. Choose a number sentence that helps you to calculate the number of marbles left with George.
 a. 79 = 46 × $n$ b. 79 = $n$ - 46 c. 79 - 46 = $n$ d. 46 + 79 = $n$

5.
There are 18 birds on a tree. 9 of them flew away. Choose the number sentence that helps you to calculate the number of birds left on the tree.
 a. 9 + $n$ = 19 b. $n$ + 18 = 9 c. 18 - 9 = $n$ d. $n$ + 20 = 18

6.
Choose the relation that best represents the graph.

 a. Cost of a bouquet is $5. b. Each bouquet requires 5 flowers. c. Each bouquet requires 2 flowers. d. Cost of 5 bouquets is$1.

7.
Which situation can be described by the expression $n$ - 3?
 a. John ate $n$ chocolates and Gary ate 3 more than John. b. John ate $n$ chocolates and Gary ate 3 less than John. c. John ate $n$ chocolates and Gary ate 3 times more than John. d. John ate 3 chocolates and Gary ate $n$ more than John.

8.
Choose a situation that represents the equation.
$n$ + 7 = 37
 a. If cost of each marble is $7, then the cost of $n$ marbles are$37. b. John had 37 marbles. He bought $n$ more. Then he had 7 marbles. c. Bob had $n$ marbles. He gave 7 to his sister. Then he had 37 marbles. d. Jim had $n$ marbles. He bought 7 more. Then he had 37 marbles.

9.
Identify a situation that represents the equation.

$c$ - 9 = 12

7 × $n$ = 84
 a. James has $n$ CDs and each of his CDs has 7 songs. The total number of songs in his collection is 84. b. Carol had $n$ candies. She divided equally among 7 children. Each child got 84 candies. c. Steve had 7 pencils and his friend had $n$ pencils. Number of pencils both had is 84. d. Smith purchased $n$ lb of carrot and 7 lb of onions. Weight of both the vegetables is 84 lb.