6th Grade Algebra: Solving Expressions & Variables

1. Sarah has x apples. If she buys 5 more apples, how many apples does she have now? Write an expression for the total number of apples.

• x + 5

• x - 5

• 5 - x

• x + 10

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

• total_cost = 3y

• total_cost = 2y

• total_cost = 4y

• total_cost = y

3. Tom has 10 more than twice the number of marbles that Jake has. If Jake has m marbles, write an expression for the number of marbles Tom has.

• 3m + 10

• 2m + 10

• m + 10

• 2m - 10

4. If the perimeter of a rectangle is represented by the expression 2(l + w) and the length is 4 meters, what is the expression for the width w?

• w = P - 8

• w = 4 + P/2

• w = (P/2) - 4

• w = P/2 + 4

5. A movie ticket costs $8. If you buy t tickets, how much do you spend? Write an equation to find the total cost.

• total_cost = 8 + t

• total_cost = 8 - t

• total_cost = 8 / t

• total_cost = 8 * t

6. Lisa has b balloons. If she gives away 3 balloons, how many does she have left? Write an expression to show the remaining balloons.

• b + 3

• b - 5

• b - 3

• 3 - b

7. The total number of students in a class is represented by the expression s + 5, where s is the number of students present. If 10 students are present, how many students are in the class?

• 12

• 20

• 10

• 15

8. A car travels d miles in 2 hours. If the speed is constant, what is the expression for the speed of the car in miles per hour?

• d / 2

• d * 2

• d / 4

• d + 2

9. If the cost of a pen is p dollars and you buy 4 pens, write an equation to find the total cost of the pens.

• total_cost = p / 4

• total_cost = 4 - p

• total_cost = p + 4

• total_cost = 4 * p

10. A gardener has g plants. If he plants 6 more, how many plants does he have now? Write an expression to represent the total number of plants.

• g + 6

• g / 6

• g * 6

• g - 6