Name Date
Math 0312 Review #1 Ch. 1, 2 & 3.1
1.1 Solve Each Equation.
1.
2(x  3)  4x  4
1.

3.

4.





2.
3.
3𝑥−3
7
3
𝑥
7
3
+ =−
5(2x  3) 6(x  1) 4x





4.
2x  14  2(x  7)

1.2
5.
Solve each formula for the specified variable.
1
𝐴 = ℎ(𝑏 + 𝐵) 𝑓𝑜𝑟 𝐵
2
5.

6.



6.

𝑤=
2𝑥−𝑦
𝑥
𝑓𝑜𝑟 𝑥
1.3 Write an equation and solve.
7. The perimeter of a rectangle is 278 meters. If the length
is 1 meter longer than twice the width, then what is the
length and width?



7.
equation:
length: 
width: 
8.
equation:

8. An investor bought 200 shares of stock. The value of the
shares went up 10% and then he sold them. How much did
the investor pay for the 200 shares if he sold them for $2640.00?





1.5 Solve each inequality. State the solution set using interval notation and graph the solution set.
9.
2(x  4)  6x  16
9.

10.







10.
7  3x  2  4





1.7 Solve each absolute value equation.
11.
2x  3  5
11.

12.
5x  4  21
12.








1.7 Solve each inequality. Give the solution set in both interval and graph form.
13.
x7 2
13.

14.
2x  8  6  1
14.














2.1 Complete each ordered pair so that it satisfies the given equation.
15.
2x  y  6
15.


(0,  ), (4,  ), ( , -8)








16. A) Find x and y- intercepts of the line.
B) Sketch the graph.
3x  5y  15



x-intercept: y-intercept: 




17.
What is the slope of a line that passes through
the points (-5, 6) and (3, 2).
17.

2.2 Determine whether the pair of lines is parallel, perpendicular, or neither.
18.
y  3x and 6x  2y  5
18.

19.
4x  y  7 and x  4 y  8
19.


3𝑥 − 2𝑦 = 6 𝑎𝑛𝑑 2𝑥 + 3𝑦 = 2
20.

















21. A) Find the slope and y-intercept of the line,
B) Sketch the graph.
2x  3y  6
slope: x-intercept:




22.
Write the equation in slope-intercept form of
The line satisfying the given conditions.
m  2 and passes through (2,3)
22.

2.3 Write an equation of the line in slope-intercept form that satisfies the following conditions.
23.
Through (-7, 2) and parallel to 3x  5y  6 .
23.

24.
Through (-7, 2) and perpendicular to y  2x .
Solve the system by graphing.
24.



Graph the solution set for the following inequalities.
25.
4x  2 y  6
26.
y2
2.5 Determine whether each relation is a function.
27.
{(2,4), (3,6), (3,7) }
27.

28.
2
-3
28.

5
8





7
2.6 Let f (x)  2x  3 and g(x)  x  5x  2. Find the following.
2
29.

30.
g(2)
29.

f( x  1)
30.

31.

32.

33.

34.

35.

3.1 Solve the system of equations by graphing.
31.
xy3
x  y 5
3.1 Solve each system by substitution or elimination.
32.
yx 4
x  y 5
33.
2x  3y  24
2
y x
3
34.
2x  3y  11
7x  4 y  6










35.
2x  y  3
6x  3y  9