MAT1033

Intermediate Algebra

Final Exam Review
Textbook:
Beginning & Intermediate Algebra, 5th Ed., by Martin

Gay
Section 2.3
Solve the equation.
1) 9x

(3x

1)
=
2
2)
1
3
x
+
2
=
1
6
x
+
4
3
3)

0.07y
+
0.12(6000

y)
=
0.06y
Section 2.4
Solve.
4) Four times the sum of some number plus 2 is
equal to 8 times the number minus 20.
Find
the number.
5) The length of a rectangular room is 9 feet
longer than twice the width.
If the room's
perimeter is 210 feet, what are the room's
dimensions?
Section 2.5
Solve the formula for the specified variable.
6) P
=
2L
+
2W
for L
7) V
=
1
3
Ah
for A
Section 2.6
Solve. If needed, round to two decimal places.
8) Robin got a 4% raise in her salary from last
year. This year she is earning $37,440. Howmuch did she make last year?
9) How much pure acid should be mixed with 6gallons of a 50% acid solution in order to getan 80% acid solution?
10) If $2000 is invested at 10% simple annualinterest, how much should be invested at 12%annual simple interest so that the total yearlyincome from both investments is $5000?
11)

21x

9
≤

3(6x

5)
12) 3
≤
3x

3
≤
18
Section 3.1
Complete the ordered pair so that it is a solution of the
given linear equation.
13) 6x
+
y
=

22;
(

5,
), (0,
), (1,
)
Section 3.2
Find three ordered pair solutions by completing the table.
Then use the ordered pairs to graph the equation.
14) y
=

3x
+
2
x
y
0
1

1
Section 3.3
Graph the linear equation by finding and plotting its
intercepts.
15)

6x

12y
=
12
Graph the linear equation.
16) x
=

2
17) y
=

2
Section 3.4
Find the slope of the line that passes through the given
points.
18) (9, 0) and (0,

1)
19) (

8, 10) and (

8, 4)
1
Determine whether the pair of lines is parallel,
perpendicular, or neither.
20) 3x

4y
=
16
8x
+
6y
=
1
Find the slope of the line and write the slope as a rate of
change with proper units.