Questions:
Systems of Linear Equations and Inequalities
1. The start-up cost for producing widgets is $449, and each widget costs $91 to produce. What is the equation for this situation? Use X for # widgets produced and Y for cost.
a. none of the following
b. X = 449Y + 91
c. 91X + 449 = Y
d. Y = 449X + 91
e. X + Y = 449 + 91
2. A plumber charges $315 for 3 hrs works, and $635 for 7 hrs work. How much will he charge for 6 hrs work?
a. impossible to tell from info given
b. less than $500
c. at least $500 but less than $550
d. at least $550 but less than $600
e. at least $600
3. What is the slope of a line that passes thru the points (2, 5) and (-2, 6)?
a. less than -.1
b. at least -.1 but less than 0
c. at least 0 but less than +.1
d. at least +.1 but less than +.3
e. at least +.3
4. What is the slope of a horizontal line?
a. impossible to tell from info given
b. none of the following
c. 0
d. it doesn't exist
e. infinite
5. Why do we call the slope of a vertical line "undefined?"
a. impossible to tell from info given
b. because all Y's are the same, so Y2-Y1 = 0
c. because all X's are the same, so X2-X1 = 0
d. because the slope is parallel to the X-axis
e. because the slope is perpendicular to the Y-axis
6. The graph of a system of equations shows parallel lines. What is the solution to the system?
a. impossible to tell from info given
b. none of the following
c. the system has infinitely many solutions
d. the system is inconsistent
e. the system is dependent
7. Solve the following system of equations: 5X + 8Y = 1 and 3X - Y = -8
a. impossible to tell from info given or none of the following
b. (2, 3)
c. (-2, 3)
d. (3, 2)
e. (3, -2)
8. Which of the following is a solution to 4X - 2Y <= 9?
a. impossible to tell from info given or none of the following
b. all of the following
c. (0, 0)
d. (8, 12)
e. (1, -2)
9. Write in mathematical symbols: the proportion is a majority
a. impossible to tell from info given
b. none of the following
c. p = ½
d. p >= ½
e. p < 1/2