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State all answers in standard equation format, interval notation, or solution set
notation unless otherwise instructed by the problem statement. Also, show the stepby-step process you used to solve the problems.
1.
Simplify the following expression:
0.7(x + 1) - (x - 2)
2.
Mary loves to skip rope. She makes one skip every 0.04
minute. What is her skipping rate in skips per minute?
3.
Solve for x:
4.
Solve for y:
3(x - 4) - 1 = 2x + 5
y
--- - 2 = y + 1
5
5.
Find the dimensions of a rectangle whose length is 50 inches
more than its width and whose perimeter is 500 inches.
6.
Solve the inequality:
solution set.
7.
Solve the inequality: -3 < 2 - 5x < 12.
as a solution set or a number line.
8.
Write an inequality that describes the graph:
1 - 2x > 5.
<------(============]----------->
-4 -3 -2 -1
0
1
2
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Express your answer as
Express the answer
9.
Find the slope of the line which contains the points
(4, 2) and (-1, 7).
10.
Write the slope-intercept form of the equation of the line
through (0, -2) that is parallel to the line
5x + 4y = 3.
11.
Graph the line y = 2x - 3
12.
Graph the line 2x + 3y = 6. Develop the equation of a line
perpendicular to this line that goes through (0, 0).
13.
Solve the system defined by the equations:
3x - 2y = 11
5x + 3y = 12
14.
Solve the system 2x - 3y = -8 and x + y = 1.
15.
There are 980 students who attend Reklaw High School. At a
recent basketball game at the school, 35% of the male
students and 40% of the female students were in attendance.
The total number of students attending the ball game from
Reklaw High was 369. How many males and how many females
attend this high school?
16.
Solve the system 3x + 2y = 3
method is your choice.
and
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4x -3y = -13.
Solution
17.
Solve for a:
a.
b.
c.
d.
18.
2 < 2 - 3x < 5.
0 > x > -5/3
0 < x < -1
x > -1
-1 < x < 0
Find the equation of the line perpendicular to
2y = -x + 3 and which passes through (0, 4).
a.
b.
c.
d.
20.
0
6
3
-3
Solve the inequality:
a.
b.
c.
d.
19.
2a - (3 - 2a) = 5 - 2(1 - a)
y
y
y
y
=
=
=
=
x + 4
-1/2x + 4
-1/2x + 3/2
2x + 4
Evaluate the following expression using
a = -1,
b = 2 and
c = -3
c
6
b
--- + --- - --a
b
a
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