College Algebra Quiz

Solve the following system of equations: 2x + 3y = 8 and 3x - 2y = 4

• x = 2, y = 2

• x = 4, y = 3

• x = 3, y = 1

• x = 1, y = 4

Solve the quadratic equation: x^2 - 4x + 4 = 0

• x = 2

• x = -2

• x = 4

• x = 3

What are the roots of the quadratic equation: 2x^2 - 5x + 2 = 0?

• x = 0.5, x = 2

• x = 1, x = 2

• x = 0, x = 3

• x = -1, x = -2

Solve the rational equation: (x-3)/(x+2) = 2

• x = -5

• x = 0

• x = 7

• x = 10

Perform the operation (f + g)(x) where f(x) = 2x + 1 and g(x) = 3x - 2

• x^2 + 4x - 2

• 6x + 3

• 5x - 1

• 5x + 1

Evaluate (f - g)(x) for f(x) = x^2 - 4x and g(x) = 2x + 3

• x^2 - 6x + 3

• x^2 - 2x - 3

• x^2 - 6x - 3

• x^2 - 8x - 3

Graph the system of inequalities: y < 2x - 1 and y > -x + 3

• Graph the system of inequalities to find the solution region.

• Solve for x and y

• Find the area of the triangle formed by the lines

• Use substitution method to solve the system of inequalities

Determine the solution set for the system of inequalities: 2x + y < 5 and x - y > 1

• The solution set is the region where the shaded areas of the two inequalities overlap.

• The solution set is the region where the shaded areas of the two inequalities do not overlap.

• The solution set is the region where the shaded areas of the two inequalities intersect at a single point.

• The solution set is the region where the shaded areas of the two inequalities form a perfect square.

• x = 5

• x = 4

• x = 5.5

• x = -4

What is the slope of the line that passes through the points (-4, -1) and (-2, -5)?

• 1/2

• -1/2

• 2

• -2