﻿ Understanding Algebraic Concepts Worksheet | Problems & Solutions

# Understanding Algebraic Concepts Worksheet

Understanding Algebraic Concepts Worksheet
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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 × $x$)

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

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

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

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. $\frac{x}{2}$

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

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 = $x$

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

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

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