Practice Algebra

Choose the nature of the solutions for a quadratic equation with the following discriminant.

Discriminant = 4

• 2 complex solutions

• 2 real, rational solutions

• 2 real, irrational solutions

• 1 real, rational solution

• 1 complex solution

Myra’s tutor used these steps to solve the problem 10x²=90.
• Divide both sides by 10 to get x²=9.
• Take square roots on both sides to get x=±3.
Using this method, what is the solution to 5x²=605?

• ±11

• ±3

• ±121

• ±5

• 1 and 3

• 1 and - 3

• - 1 and 3

• -1 and - 3

• 1 and 3

• 1 and - 3

• - 1 and 3

• -1 and - 3

A teacher asked their students to find the solutions of the equation 2x²+4x+3=0. Which student is correct?

• Jason

• Andrew

• Matthew

• Jacob

• x = 5

• x = 11

• x = 19

• x = 16

Solve the rational equation.

• x = 0

• x = -11

• x = 4

• x = -5

• x = 1

Look at the system of equations. y = x² - 4x + 6 y = x + 2 What is the solution set for the system of equations?

• {(3, 1), (6, 4)}

• {(-1, 1), (4, 2)}

• {(1, 3), (4, 6)}

• {(1, 4), (3, 6)}

Find the solution to the system.
y = x-6
y = -3x + 2

• (0, -6)

• (6, 0)

• (-4, 2)

• (2, -4)