| What to create | Quiz |
| Which subject | Mathematics |
| What age group | Year or Grade 8 |
| What topic | hen given real-life and mathematical problems, using numerical and algebraic expressions and equations, |
| Question types | Open-ended |
| Number of questions | 10 |
| Number of answers | 4 |
| Correct answers | Exactly 1 |
| Show correct answers | |
| Use images (descriptions) | |
| Any other preferences |
Solve the following problems by writing your answers in the provided space. Show your work for full credit.
Problem 1: You have a rectangular garden that is 3 times longer than it is wide. If the width of the garden is ( w ) meters, express the area of the garden in terms of ( w ).
Problem 2: A school fundraiser sells chocolate bars for $2 each and cookie boxes for $5 each. If a total of 100 items were sold for $400, write an equation to represent the relationship between chocolate bars ( c ) and cookie boxes ( b ).
Problem 3: If a car travels at a speed of 60 miles per hour, how far will it travel after ( t ) hours? Write the expression for the distance ( d ).
Problem 4: The formula for the total cost ( C ) of purchasing ( x ) notebooks at $2.50 each is given by ( C = 2.5x ). How much will it cost to buy 12 notebooks?
Problem 5: You have saved $250 to buy video games. If each game costs $45, how many games, ( g ), can you buy, and which equation would represent this situation?
Problem 6: A recipe requires 2 cups of sugar for every 4 cups of flour. If you only have ( f ) cups of flour, express the amount of sugar ( s ) needed in terms of ( f ).
Problem 7: A movie theater charges $10 per ticket. If you have ( m ) tickets, how much money ( T ) will you spend? Write the equation that describes this situation.
Problem 8: The length of a side of a square garden is represented by ( s ). Write an expression for the perimeter ( P ) of the garden in terms of ( s ).
Problem 9: A person jogs ( d ) miles every day. If they want to jog a total of 42 miles in a week, write an equation that represents the relationship between the daily jog distance and the total distance.
Problem 10: If it takes ( h ) hours to complete a project, and each hour spent increases your work done by 15%, write an expression for the total amount of work completed ( W ) after ( h ) hours.