MAT 151-College Algebra Review for Finals

Let A(-1,16) and B(5,-8) be two points. Find the Distance AB______, Midpoint M(____, ____) of AB, and Slope of the Line AB _______.

• Distance AB = 10, Midpoint M(2, 4), Slope of the Line AB = -4

• Distance AB = 6√17, Midpoint M(0, 8), Slope of the Line AB = 1

• Distance AB =6√17, Midpoint M(2, 4), Slope of the Line AB = -4

• Distance AB = 6√17, Midpoint M(2, 4), Slope of the Line AB = 4

A cartravels a total of 275 miles in 4 hours, traveling part of the time at 60 miles per hour and part of the time at 74 miles per hour. How long did the car travel at each speed?

• 1 hour at 60 mph and 3 hours at 74 mph
• 2 hours at 60 mph and 2 hours at 74 mph
• 1.5 hours at 60 mph and 2.5 hours at 74 mph

• 3 hours at 60 mph and 1 hour at 74 mph

Find the equation of the quadratic function that has the given vertex and given point on its graph.

Vertex: (4, 4) through: (5, 6)

• y = 2(x - 4)² - 2
• y = 3(x - 4)² + 4
• y = (x - 4)² + 4
• y = 2(x - 4)² + 4

Use the zero-product property to find all complex solutions of the equation.

x⁴ + 13x² - 48 = 0

• 4, -4, i√3, -i√3

• 4i, -4i, √3, -√3

• 4i, √3

• 4, -4, √3, -√3

Solve: x³ + 8x² - 5x - 40 = 0

• {-8, ±5}

• {- √8, ± √5}

• {-8, ± √5}

• {- √8, ±5}

• 4x - 3
• 2h - 3
• 4x + 2h - 3
• 2x^2 - 3x + 2

• 4
• 2
• 3
• 1

• 5
• 15
• 0
• 10

• [1, 4]
• [-2.5, 10]

• [2.5, 10]

• 8
• 2
• 16
• 4