MATH 111 Jeopardy

Linear Equations

100

What is the slope of the line with the following equation?

y = 5x-12

m = 5

200

Find the y-intercept of the following equation:

4x + 3y = 12

(0, 4)

300

Find the equation of a line with slope -5 and y-intercept -6

y = -5x - 6

400

Find the equation of the line passing through the points (2, 5) and (5, 2)

y = -x + 7

500

Find the equation of the line that is perpendicular to the line 3x + 4y = 6 and passes through the point (-3, 2)

y = 4x/3 + 6

Inequalities

100

Solve the following inequality:

4x - 2 < 5x + 6

x > -8; [-8, infinity)

200

Solve the following inequality:

|4x - 9| > 14

(-infinity, -5/4) U (23/4, infinity)

300

Solve the following inequality:

x^2 -x -2 < 0  

(-1, 2)

400

Solve the following inequality:

(x-2)/(x+5) < 0 

(-5, 2)

500

Solve the following inequality:

|1/(x+6)| > -4

(-infinity, -6) U (-6, infinity)

Quadratic Equations

100

Factor the following expression:

x^2 + 5x - 14

(x+7)(x-2)

200

Factor the following expression:

6x^2 - 5x - 4

(2x+1)(3x-4)

300

Solve the following equation:

3x^2 = 48

x = 4, x = -4

400

Solve the following equation:

x^2 + 20x + 99 = 0

x = -11, x = -9

500

Solve the following equation:

(x^2)/3 + 4x + 11 = 0

x = -6 - sqrt(3), x = -6 + sqrt(3)

Other Equations

100

Solve the following equation:

sqrt(3x-2) = 5

x = 9

200

Solve the following equation:

7|w| - 3 = 11

w = 2, w= -2

300

x = sqrt(x+2)

x = 2

400

Solve the following equation:

sqrt(3x-2) = 5 + sqrt(3x-7)

No Solution

500

Solve the following equation:

3/(x-2) = (7x - 4)/(x^2 - 8x + 12)

x = -7/2

Word Problems

100

The sum of four consecutive even integers is 44. What are the four numbers?

8, 10, 12, 14

200

If an alloy containing 30% silver is mixed with a 55% silver alloy to get 800 pounds of 40% alloy, how much of each must be used?

480 pounds of 30% alloy and 320 pounds of 55% alloy

300

A lumber company can convert logs into either lumber or plywood.  In a given day, the mill turns out a total of 400 units of lumber and plywood.  It makes a profit of $20 on a unit of lumber and $30 on a unit of plywood.  How much of each unit must be produced and sold in order to make a profit of $11000?

100 units of lumber and 300 units of plywood

400

The measure of the first angle of a triangle is four times as large as the measure of the second angle. The third angle measures 15 degrees less than twice the first angle.  Find the measures of the angles.

60, 15, and 105 degrees

500

If Hank can do a job in 5 hours and Hank and Sarah working together can do the same job in 2 hours, find how long it takes Sarah to do the job alone.

3 hours and 20 minutes