Download Math 73 Test II Review 1.- Divide the following. (a) 2x7 - 15x3

Math 73
Test II Review
1.- Divide the following.
(a)
2x7 − 15x3 − 16x−3 − 9x + 2
3x2
(b)
2.- Solve the following.
(a)
3
1
5
−
=
x x+2
2x + 4
(b)
1
2
−2y
−
= 2
y−2 y−3
y − 5y + 6
1
Villalobos
2x3 − 3x2 + 4x + 10
x−3
(c)
x−4
2
= 2
2
x − 5x
x − 25
3.- Multiply/divide the following fractions.
(a)
xy − y + 4x − 4
xy + 2x + y + 2
÷
xy − 3y + 4x − 12 xy − 3y + 2x − 6
(b)
3x3 + 24
6x5 + 24x3
·
x6 − 16x2 x4 − 2x3 + 4x2
4.- The path of a missile is given by h = −16t2 + 64t + 80 where h represents the altitude
of the missile after t seconds. How long does it take to hit the ground?
2
Villalobos
5.- Factor the following.
(a) 3ax + 21x − a − 7
(b) x3 − 5x2 − 4x + 20
(c) x2 + 6xy + 9y 2
(d) 3x2 + 19xy − 14y 2
(e) 2x3 − 50x
(f) 2x3 − 250
3
Villalobos
(g) x2 + 4x + 4 − m2
6.- Solve the following by factoring.
(a) x3 − 5x2 − 4x + 20 = 0
(b) x2 = 3x
(c) (x + 2)2 = 16
7.- Simplify the following and write in Scientific Notation when appropriate.
(a) (5.6 ∗ 10−4 )(12.6 ∗ 108 )
(b)
4
Villalobos
45.78 ∗ 106
3.4 ∗ 10−12
(2x3 y 4 )3
(c)
4x−3 y 7
(d)
!
45x−2 y 5
9x2 y −1
"
8.- Set up a system of equations and solve the following word problems.
(a) The sum of two number is 32. One of the numbers is 4 less than 5 times the other. Find
the two numbers.
(b) James Bond has 20 coins totaling $1.40. If he has only dimes and nickels, how many of
each coin does he have?
(c) Batman has $8, 000 to invest. He puts the money in two accounts. The first one pays
5% annually and the second pays 6% annually. The total interest after one year is $450.
How much money did he invested in each account?
5
Villalobos
9.- Solve the following by elimination and substitution.
(a) 2x + 3y = 5
(b) 4x − 3y = 7
3x − y = 2
x + 3y = −2
10.- Solve the following by graphing.
2x − 3y = −6
x + 3y = 15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
-16-15-14-13-12-11-10-9 -8 -7 -6 -5 -4 -3 -2 -1
-1
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
-2
-3
-4
-5
-6
-7
-8
-9
-10
-11
-12
-13
-14
6
Villalobos