7th Grade Variables and Expressions Challenge Quiz

1. Sarah has 3 more than twice the number of apples that Tom has. If Tom has x apples, write an equation to represent the number of apples Sarah has. What is the expression for Sarah's apples in terms of x?

• 2x - 3

• 3x + 2

• 2x + 3

• x + 3

2. A book costs $15 more than a magazine. If the magazine costs m dollars, write an equation to express the cost of the book. How would you evaluate the cost of the book if the magazine costs $10?

• $20

• $30

• $25

• $15

3. A rectangle's length is 4 units more than its width. If the width is w units, write an equation for the length. How would you find the length if the width is 6 units?

• 12 units

• 4 units

• 8 units

• 10 units

4. The total number of students in two classes is 50. If class A has x students, how many students are in class B? Write an equation and evaluate it if class A has 30 students.

• 10

• 20

• 15

• 25

5. A car rental company charges a flat fee of $20 plus $0.50 per mile driven. If you drive m miles, write an equation for the total cost. What is the total cost if you drive 100 miles?

• $50

• $90

• $100

• $70

6. A gardener has 5 more flowers than he has bushes. If he has b bushes, write an equation for the number of flowers. How many flowers does he have if he has 8 bushes?

• 10

• 13

• 12

• 15

7. A concert ticket costs $25 more than a movie ticket. If the movie ticket costs t dollars, write an equation for the concert ticket price. What is the price of the concert ticket if the movie ticket is $15?

• $35

• $40

• $30

• $45

8. A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make x batches of the recipe, write an equation for the total cups of flour needed. How many cups of flour are needed for 4 batches?

• 4 cups of flour

• 6 cups of flour

• 8 cups of flour

• 10 cups of flour

9. A train travels 60 miles per hour. If it travels for t hours, write an equation for the distance traveled. How far does the train travel in 3 hours?

• 120 miles

• 150 miles

• 180 miles

• 200 miles

10. A store sells pencils for $0.75 each and erasers for $1.25 each. If you buy p pencils and e erasers, write an equation for the total cost. How much would it cost if you buy 4 pencils and 3 erasers?

• $8.25

• $6.75

• $7.50

• $5.00