Solving Algebra Word Problems

The sum of Mr. Micklow and Ms. Craft's age is 55.  The difference is 3.  
Solve:
x + y = 55
x - y = 3

• (26, 23)

• (26, 29)

• (29, 26)

• (29, 32)

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

• Sugar Cookies $5 
  Oatmeal Cookies $3

• Sugar Cookies $4
  Oatmeal Cookies $8

• Sugar Cookies $2
  Oatmeal Cookies $6

• Sugar Cookies $3
  Oatmeal Cookies $6

The sum of Mrs. LaRoque's and Mrs. Murphy's ages is 61. The difference is 7. What are their ages?

• 31 and 31

• 54 and 7

• 27 and 34

• 21 and 40

What is the solution to the system of equations?

• (-1, -3)

• (3, 1)

• (1, 3)

• (-3, -1)

What is the solution to the system of equations?

• (2, -2)

• (2, 2)

• No Solution

• (-2, -2)

Write this mathematical sentence using algebra:

6 is added to a number x. Then the result is multiplied by 9. The final answer is greater than 99.

Write this mathematical sentence using algebra:

7 is subtracted from a number y. Then the result is multiplied by 3. The final answer is less than or equal to 12.

Write this mathematical sentence using algebra:

A number z is multiplied by 4. Then 8 is subtracted from the result. The final answer is greater than or equal to 28.

Write this mathematical sentence using algebra:

A number p is multiplied by 3, and then 10 is added to the result; the final answer is less than 31.

Gloria starts with five times as much money as Hamish. Gloria gives $8 to Hamish, and then Hamish has more money than Gloria. If Hamish starts with $h, then which of the following is a correct inequality for h?