Expressions & Equations: Variables and Evaluations Challenge

1. Sarah has x apples. If she buys 5 more apples, how many apples does she have now? Write an expression to represent this situation.

• x + 5

• 5x

• x - 5

• x + 10

2. A book costs $y. If you buy 3 books, how much do you spend? Write an equation to express the total cost.

• Total Cost = 4y

• Total Cost = y

• Total Cost = 3y

• Total Cost = 2y

3. Tom is x years old. In 4 years, he will be twice as old as he is now. Write an equation to find x.

• 4

• x - 4 = 2

• 2x = x + 4

• x + 4 = 2x

4. A rectangle has a length of 2x and a width of x. Write an expression for the area of the rectangle.

• x^2

• 4x

• 2x + x

• 2x^2

5. If the temperature today is t degrees and it drops by 3 degrees, what expression represents the new temperature?

• t + 3

• t - 3

• t - 5

• t / 3

6. A car travels at a speed of 60 miles per hour. If it travels for t hours, how far does it go? Write an equation for the distance.

• distance = 60 + t

• distance = 60t^2

• distance = 60t

• distance = 30t

7. Lisa has y dollars. She spends $10 and then has $15 left. Write an equation to find y.

• y = 15

• y = 30

• y = 25

• y = 20

8. The perimeter P of a square is given by the expression P = 4s, where s is the length of a side. If the side length is 5, what is the perimeter?

• 20

• 25

• 15

• 30

9. A movie ticket costs $x. If you buy 4 tickets, how much do you spend? Write an expression for the total cost.

• 4x

• 5x

• 2x

• 3x

10. If a box contains z candies and you eat 2, how many candies are left? Write an expression to represent the remaining candies.

• z - 2

• 2 - z

• z - 5

• z + 2