Word Problems QUIZ

📝 Word Problems & Algebraic Expressions Quiz

Form and Simplify Expressions from Real-World Problems

📋 Instructions: Read each word problem carefully, form the appropriate algebraic expression, then simplify it. Choose the correct simplified expression that represents the given situation.

1. John has x apples. Mary has 3 more apples than John. Tom has twice as many apples as John. What is the total number of apples they have altogether?

a) 4x + 3 b) 6x c) x + 5 d) 3x + 3

2. A rectangle has length (2y + 5) and width (y - 3). What is the perimeter of the rectangle?

a) 3y + 2 b) 6y + 4 c) 6y - 4 d) 4y + 4

3. Sarah buys 3 notebooks at $n each and 2 pens at $p each. She pays with a $20 bill. How much change does she receive?

a) 20 - 3n - 2p b) 3n + 2p - 20 c) 20 + 3n + 2p d) 5np - 20

4. A car travels at speed s for 2 hours, then at speed (s + 10) for 3 hours. What is the total distance traveled?

a) 5s + 30 b) 5s + 10 c) 2s + 3s + 10 d) s + 50

5. In a class, there are b boys and g girls. If 3 more boys and 2 more girls join, what is the new total number of students?

a) b + g + 5 b) 3b + 2g c) b + g + 6 d) 5bg

6. A store sells t-shirts for $x each and shorts for $y each. If someone buys 4 t-shirts and 3 shorts, then returns 1 t-shirt, how much do they pay?

a) 3x + 3y b) 4x + 3y - x c) 5x + 3y d) 7xy

7. A triangle has sides of length (3a + 2), (2a - 1), and (a + 4). What is the perimeter?

a) 6a + 5 b) 6a + 1 c) 5a + 5 d) 6a - 5

8. Maria has $50. She spends $m on lunch and $2m on shopping. How much money does she have left?

a) 50 - 3m b) 50 + 3m c) 50 - m - 2m d) 47m

9. A parking lot has r rows with c cars in each row. If 5 more cars are added, what is the total number of cars?

a) rc + 5 b) r + c + 5 c) 5rc d) r(c + 5)

10. A company produces w widgets per day. After 3 days, they increase production by 10 widgets per day for the next 4 days. What is the total production over 7 days?

a) 7w + 40 b) 3w + 4(w + 10) c) 10w + 7 d) w + 70