Math 46 – Final Exam Review Packet D (Free Response Portion)
1.
2.
Solve.
a.
2 ( a + 3)
= 9a + 3
3
b.
x+3
−3( −4x + 5) =
2
Graph. Make sure to label your graph!
2
a. y = − x +11
7
Solve the system of linear equations:
⎧3x + 4y = −7
⎨
⎩ x − 2y = −9
a.
⎧ 6x + 3y = 1
⎨
⎩ y = −2x − 5
b.
4.
5.
Add or subtraction the following
expressions and simplify your results
completely.
a.
3x 2 + 2x 10x − 5
−
x −1
x −1
b.
4x 2 +12x
9
−
2x − 3
3 − 2x
Multiply or divide the following expressions
and simplify your results completely.
a.
9x
6x +12
÷
5x +10
5
b.
2x ( x + y ) 3x 2 + 6xy + 3y 2
÷
4x + 5
16x 2 − 25
c.
Factor completely.
a. 147x 3 y −108xy 3
b.
135xy z + 90x yz
c.
5x 3 y − 45x 5 y
2
3
d.
2
9.
b.
8
⎧
⎫
⎨ 4 − + 2 ⎡⎣ 6 − 3( 4 ⋅3 ÷ 6 ) −10 ⎤⎦ ⎬ + 7
2
⎩
⎭
⎧3 1
⎡
⎛2
⎞ ⎤⎫ 4
⎨ ÷ + 3 ⎢3( 4 − 6 ) − 5 ⎜⎝ − 2 ⎟⎠ ⎥ ⎬ +
5
⎣
⎦⎭ 5
⎩4 2
Factor completely.
a. 3x 2 + 20x +12
b.
24x 2 y − 76xy + 40y
c.
36 p − 9 p − p
d.
26z + 98z − 24
2
2
3
6
x −1
12
x +3−
x −1
x−6+
a6b4 + a 4b6 a2 − b2
⋅
a 5b 4 − a 4 b 4 a 4 − b 4
Multiply and simply completely.
a.
( 2x − 7) ( 5x + 3)
b.
(3x − 5y ) ( 4x − 6y )
c.
( 5c +1) ⋅3c 2 ⋅ (c − 2 )
Evaluate.
a.
6.
8.
2x − 3y = 15
b.
3.
7.
10. Solve.
a.
5 −5x + 2 = 30
3x − 2
=3
2
b.
6−
c.
5 −5x + 2 < 30
d.
5 −5x + 2 ≥ 30
4