College Algebra

MAC 1105 Final Exam SOL 2020

Name___________________________________

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Solve the inequality. Express your answer using interval notation. 1) -34 -5x - 4 -19 1)

Solve the equation. 2) |8x + 5| + 6 = 10 2)

Solve the inequality. Express your answer using interval notation. 3) |x + 7| + 9 15 3)

Find an equation for the line with the given properties. 4) Parallel to the line y = -6; containing the point (8, 2) 4)

5) The solid line L contains the point (3, 2) and is perpendicular to the dotted line whose equation is y = 2x. Give the equation of line L in slope-intercept form.

5)

Find the center (h, k) and radius r of the circle. Graph the circle. 6) x2 + y2 - 2x - 12y + 28 = 0 6)

1

Solve the problem. 7) If the resistance in an electrical circuit is held constant, the amount of current flowing

through the circuit is directly proportional to the amount of voltage applied to the circuit. When 7 volts are applied to a circuit, 70 milliamperes (mA) of current flow through the circuit. Find the new current if the voltage is increased to 11 volts.

7)

8) While traveling at a constant speed in a car, the centrifugal acceleration passengers feel while the car is turning is inversely proportional to the radius of the turn. If the passengers feel an acceleration of 12 feet per second per second (ft/sec2) when the radius of the turn is 70 feet, find the acceleration the passengers feel when the radius of the turn is 280 feet.

8)

Graph the function. 9)

f(x) = x + 5 if -8 x < -2 -9 if x = -2 -x + 6 if x > -2

9)

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.

10) f(x) = -(x + 5)2 + 5 10)

2

Use the slope and y-intercept to graph the linear function. 11) g(x) = -3x - 2 11)

Solve the inequality. 12) x2 + 2x 8 12)

Graph the function.

13) f(x) = 2x

(x - 2)(x + 2) 13)

Solve the inequality. 14) x(x + 5) -4 14)

Use the given zero to find the remaining zeros of the function. 15) f(x) = x3 - 2x2 - 11x + 52; zero: -4 15)

Solve the equation. 16) log3 x + log3(x - 24) = 4 16)

17) 3 · 52t - 1 = 75 17)

3

Solve the system of equations by elimination. 18)

2 5

x + 7 10

y = 31 10

4x + 2y = 46

18)

Solve the system of equations. 19)

x - y + z = 8 x + y + z = 6 x + y - z = -12

19)

Graph the system of inequalities. 20) -x + 4y < -12

x -3 20)

4