Math 45

Sample Midterm 1

Dr. Wilson

Click on the problem number to see a complete worked solution. Click on the problem number in the solution to return to the test.

1. Multiply   (x + y)(x² - xy + y²)

2. Use long division to get a quotient and a remainder.

3. Solve for   x   and check.     3(2x - 5) + 4 = 2(x - 3) - x

4. Graph   y = 3x - 2

5. After 1 month. there is $500 in a bank account, and after 4 months, there is $1400. Assume that the amount of money grows linearly. Find an equation which will predict how much money you will have as a function of the number of months. Use this equatiion to predict how much money should be in the account after 12 months. When will there be $2000 in the account?

6. Solve for   x and y   using

• Graphing
• Substitutiion
• Elimination

and check.

7. Solve     2x² + x - 6 = 0

using

• Factoring
• Completing the square
• The quadratic formula

and check

8. Graph   y = 2x² + x - 6

Find

• The vertex
• the y-intrcept
• the x-intercept(s)

Write the equation in the form   y = a(x - h)² + k