7th Grade Math: Simplifying Expressions & Solving Equations

1. Sarah has 3 apples and buys 5 more. Write an expression to represent the total number of apples she has now and simplify it.

• 8

• 6

• 4

• 10

2. If 2x + 3 = 11, what is the value of x?

• 5

• 2

• 4

• 7

3. A rectangle has a length of 4x + 2 and a width of 2x + 3. Write an expression for the perimeter and simplify it.

• 8x + 5

• 12x + 10

• 10x + 8

• 6x + 7

4. Tom has 10 marbles. He gives away 3 marbles and then receives 5 more. Write an equation to represent the number of marbles he has now and solve for the total.

• 8

• 7

• 10

• 12

5. The sum of a number y and 7 is equal to 15. Write an equation and find the value of y.

• 6

• 12

• 8

• 10

6. If 5a - 2 + 3a = 18, what is the value of a after combining like terms?

• 2.5

• 1.5

• 3

• 4

7. A book costs $12 and a pen costs $3. If you buy x books and y pens, write an expression for the total cost and simplify it.

• 10x + 3y

• 15x + 2y

• 12x + 5y

• 12x + 3y

8. If 4b + 6 = 22, what is the value of b?

• 4

• 5

• 7

• 2

9. Lisa has 2x + 4 candies, and she buys 3x - 1 more. Write an expression for the total number of candies and simplify it.

• 6x + 3

• 4x + 5

• 5x + 3

• 2x + 3

10. The difference between a number z and 5 is 10. Write an equation and solve for z.

• -10 and 5

• 5 and 10

• 15 and -5

• 0 and 10