Download 1. Write the interval given in set-builder notation: [

MATH 98: ELEMENTARY ALGEBRA
Practice TEST: Inequalities and Graphing
Directions:
NAME_____________________
Complete all of the following. Show work neatly to receive partial credit.
[-1, ∞)
1.
Write the interval given in set-builder notation:
2.
Sketch, in graphical notation, the set shown. { x | x < 5.5 }
3.
Translate, using N as your variable, to an inequality: “Fifteen times the number of students is at
least sixty.” (Do not solve.)
4.
Solve and express your solution set in set-builder notation.
(a)
RANGE DEPENDENCE ON LAUNCH ANGLE
Use the graph shown to
answer the following
questions.
(a) What is the Range when the
launch angle is 30 degrees?
(b) What two launch angles give a
Range of about 350 cm?
25  12 x  20  15x
(b)
450
400
350
300
RANGE (cm)
5.
3  2 x  5
250
200
150
100
50
0
20
30
40
45
50
60
LAUNCH ANGLE (degrees)
_____ 6. In which quadrant is the y-coordinate always positive and the x-coordinate always negative?
A. I
7.
B. II
C. III
D. IV
Plot the points given on the graph provided; indicate each point
on the graph using its given letter.
A = (-4, 3.5)
B = (4, 5)
C = (-2.5, -1.5) D = ( 3, -3)
70
_____8.
Which of the following coordinate pairs is not a solution to the equation below?
2x - y = 6
A. (-1,4)
9.
B. (2,-2)
C.
(0, -6)
Complete the table of values for the
equation:
x
0
3x  2 y  6
2
D. (3, 0)
y
0
And graph the equation using these points.
10.
What is the negative reciprocal of -4/5 ? ____________
_____ 11. (True/False) All graphs of linear equations have at least one
intercept.
2
x  2 on the axes provided.
3
12.
Graph the equation: y 
13.
Given the two line equations below. Are these lines parallel ,
perpendicular, or neither?
Line #1:
Line #2:
14.
3
y   x3
2
3
y  x3
2
Find the slope and y-intercept of the equation:  2 x  3 y  8
slope = _________
y-intercept = (___,___)
15.
Write an equation for a vertical line that passes through (2, 3).
16.
Fast Freddie drove to Spokane and back for a business trip on Monday. The total mileage for his trip was
324 miles and the total travel time was 6.25 hours. He used 18 gallons of gas and spent $85.00 in travel
expenses. Determine the rates indicated below, rounding off to the nearest tenth.
(a)
What was his travel cost rate in dollars per mile?
(b)
What was his average speed in miles per hour?
17.
Jan pledged a total of $500 to NPR for the next year. How much does this work out to per day?
18.
Determine the slope of the line that passes through the points (-3,-1) and (5,5)
19.
Write the equation for a line in slope-intercept form that has a
slope m = 3/4 and passes through the point (-4, 3).
20.
Determine the slope of the line:
3 -2y = 0
21. The equation of a line in slope-point form is given by:
1
y  3   ( x  2) :
2
Re-write the equation in slope-intercept form and graph.
(reduce fractions…)