Download Math 73 Review Test I 1. Solve for the indicated variable. (a) px + mn

Math 73
Review Test I
1. Solve for the indicated variable.
(a) px + mn = −x + b,
x
(b)
g
r
2
−
= ,
4 20
5
r
2.- Solve the following inequalities, graph the solution, and WSUIN.
(a) 4(x + 2) + 2x > 5x − 6
(b) 5x + 9 ≥ 4x + 12
and
or
8x − 22 ≤ 4x + 6
10(x − 2) ≤ −7
3.- Solve the following absolute value problems and check the answers.
!
!
!3
3 !!
!
(a) ! + x! = 2
5 10
(b) |5x − 6| = |8x + 10|
4.- Solve the following inequalities and WSUIN.
(a) |7x + 1| − 8 ≥ 3
!
!
!
!7
(b) !! x − 5!! + 22 ≤ 2
8
!
!
!
!2
(c)!! x + 1!! ≤ 7[5.0cm]
5
5.- Determine whether the following are functions or not and find the domain and range.
(a) {(3, 4), (3, 6), (7, 12), (−2, −2)}
(b) {(−3, −3), (4, 6), (−3, 8), (−2, −2)}
(c) {(−4, 4), (−2, 4), (3, 9), (−3, 9)}
6.- Graph (and shade) the following inequalities.
5
2
(a) y ≥ − x + 2
5
(b) 5x + 4y ≤ 20
4
5
3
4
2
3
1
2
1
-5 -4 -3 -2 -1
-1
-5
1
2
3
4
5
-2
-3
-4
-3
-2
-1
-1
-2
-3
-4
-4
-5
-5
7.- Find the equation of the line with the given conditions.
(a) Passes through (−7, −4), (8, 5)
(b) Perpendicular to −3x + 7y = 3 and with x − intercept = 4
(c) Parallel to 7x − 4y = 8 and goes through (2, 3)
1
2
3
4
5
(d) Perpendicular to x = −4 and passing through (2, 5)
8.- Solve the following word problems.
(a) Barney is 9 years older than Nemo in 10 years the sum of their ages will be 61.
How old are they now?
(b) Nacho invests $6, 000 in two accounts. The first account pays 4% annually and the
second account pays 5%. If at the end of one year he makes $280 in interest, how much
did he invest in each account?
9.- Solve the following word problems.
(a) A phone call to China cost $0.75 per minute plus a connection fee of $2.25. How
much will it cost to make a 25 minutes call to China?
(b) A large cheese pizza costs $10. Each additional topping adds $1.25 to the price.
What will be the price of the pizza if you add 4 toppings.
10.- Find the equation of the following lines.
y
y
y
x
11.- For
g(x) =
x
x
x+2
and f (x) = −x2 + x + 3 find
x+1
(a) g[f (0)]
(b)
f [g(0)]
(d) f [f (0)]
(c)
f [g(−2)]
12.- For f (x) = x2 − x, g(x) = x3 + 9x2 , and
h(x) =
x−3
5
(a) f ◦ g(x)
(b) h ◦ g(x)
(c) g ◦ h(x)
(d) h ◦ f (x)
find
(e) h ◦ g(x)
(f) g ◦ g(x)
13.- Use the vertical line test to determine if the following are functions or not and find the
domain and range.
(a)
(b)
y
(c)
y
x
y
x
x