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 |

Correct answer : (1)

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 |

Correct answer : (2)

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 |

Correct answer : (3)

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 = $n$ |

Correct answer : (3)

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 |

Correct answer : (3)

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. |

Correct answer : (2)

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. |

Correct answer : (2)

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. |

Correct answer : (4)

9.

Identify a situation that represents the equation.

$c$ - 9 = 12

$c$ - 9 = 12

Correct answer : (0)

10.

Identify a situation that represents the equation.

7 × $n$ = 84

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. |

Correct answer : (1)