Understanding Algebraic Concepts Worksheet

**Page 1**

1.

The income of Bryan is 2 times the income of Kristen. What is the income of Bryan if Kristen has an income of $$x$?

a. | $($x$ - 2) | ||

b. | $($x$ ÷ 2) | ||

c. | $($x$ + 2) | ||

d. | $(2 × $x$) |

Correct answer : (4)

2.

Rashmi is $n$ years old. How old is Linda, if Rashmi is 5 years younger than Linda?

a. | $n$ - 5 | ||

b. | 5 - $n$ | ||

c. | - $n$ - 5 | ||

d. | $n$ + 5 |

Correct answer : (4)

3.

Peter is $p$ years old, Robert is 30 years elder than Peter. Which number sentence would help you to find Robert's age?

a. | $p$ - 30 | ||

b. | $p$ × 30 | ||

c. | $p$ + 30 | ||

d. | $p$ ÷ 30 |

Correct answer : (3)

4.

Nathan scored 7 less than Joe in Zoology. Find Nathan′s score, if Joe′s score is $m$.

a. | $m$ - 7 | ||

b. | 7 - $m$ | ||

c. | $m$ × 7 | ||

d. | $m$ + 7 |

Correct answer : (1)

5.

Joseph ate twice the number of biscuits that Martin ate. How many biscuits did Martin eat, if Joseph ate $x$ biscuits?

a. | 2 - $x$ | ||

b. | $x$ + 2 | ||

c. | $x$ - 2 | ||

d. | $\frac{x}{2}$ |

Correct answer : (4)

6.

Bryan had 20 pencils and he placed an equal number of pencils in 5 boxes. Which number sentence helps you find the number of pencils ($n$) he put in each box?

a. | $n$ = 20 × 5 | ||

b. | $n$ = 20 ÷ 5 | ||

c. | $n$ = 20 + 5 | ||

d. | 5 + $n$ = 20 |

Correct answer : (2)

7.

Peter distributed 75 marbles equally among 5 children. Which number sentence helps you find the number of marbles with each child?

a. | 5 ÷ $x$ = 75 | ||

b. | 5 + $x$ = 75 | ||

c. | $x$ = 75 ÷ 5 | ||

d. | 75 - 5 = $x$ |

Correct answer : (3)

8.

Francis distributed 5 bags of corn chips equally among 5 children . Which number sentence helps you find the number of bags($n$) each child would get?

a. | $n$ = 5 + 5 | ||

b. | $n$ = 5 - 5 | ||

c. | $n$ = 5 ÷ 5 | ||

d. | $n$ = 5 × 5 |

Correct answer : (3)

9.

Michael scored 39 in Botany. John scored 5 more than Michael. Which number sentence helps you find John′s score?

a. | $s$ = 39 - 5 | ||

b. | $s$ = 39 ÷ 5 | ||

c. | $s$ = 39 × 5 | ||

d. | $s$ = 39 + 5 |

Correct answer : (4)

10.

Ashley started reading a book that contains 200 pages. She finished reading 76 pages. Which number sentence helps you find the number of pages($n$) that she needs to read to complete the book?

a. | $n$ = 200 + 76 | ||

b. | $n$ = 200 × 76 | ||

c. | $n$ = 200 - 76 | ||

d. | $n$ = 200 ÷ 76 |

Correct answer : (3)