Download Math 73 Review Test I 1.- Solve for the indicated variable. (a) px − ty

Math 73
Review Test I
1.- Solve for the indicated variable.
g r
f
+ = ,
4 3
12
(a) px − ty = −hx + b,
p
(b)
(c) px − ty = −hx + b,
x
(d) A = b + (c − d)e,
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
r
e
3.- Solve the following absolute value problems and check the answers.
1
5
(b) |5x − 6| = |5x + 10|
(a) + x = 1
12 6
3
3 (c) + x + 12 = 2
5 10
(d) |5x − 6| = |4x − 3|
4.- Solve the following inequalities, graph their solutions and WSUIN.
(a) |4x − 3| + 2 ≥ 7
1
1
(b) x − 2 ≤
3
5
7
(c) x + 1 + 9 ≤ 2
2
5.- Use the following graph to find
(a) f (0)
g(x)
f (x)
(b) g(1)
x
(c) g(4)
(b) f (−5)
6.- Using the following graphs, find the solution and WSUIN.
(a)
−7 −6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
7
−7 −6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
7
−7 −6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
7
(b)
(c)
7.- Find the equation of the line with the given conditions.
(a) Passes through (−2, −4), (6, 4)
(b) Perpendicular to −3x + 5y = 15 and with x − intercept = −3
(c) Parallel to 5x − 4y = 20 and goes through (4, 3)
(d) Perpendicular to y = 1 and passing through (−2, 3)
8.- Set up a system of equations to solve the following.
(a) Nacho has a collection of pens and key-chains. The number of pens is 3 more than twice
the number of key-chains. If the total amount of items in his collection is 39. How many of
each does he have?
(b) Nacho invests $8, 000 in two accounts. The first account pays 5% annually and the second account pays 6%. If at the end of one year he makes $450 in interest, how much did he
invest in each account?
9.- Solve the following word problems.
(a) A phone call to China cost $0.60 per minute plus a connection fee of $1.40. How much
will it cost to make a 50 minutes call to China?
(b) A large cheese pizza costs $15. Each additional topping adds $2.20 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
x
y
x
x
11.- For
g(x) =
2x + 3
and f (x) = x3 + 2x − 3 find
3
(a) g[f (1)]
(b)
f [g(2)]
(d) g[g(0)]
(c)
f [f (1)]
12.- Solve the following systems of equations by graphing, elimination, and substitution.
(a)
(b) −3x + 2y = 2
2x + y = 8
2x + 4y = 6
3x − y = 2
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
14. Graph and shade the following linear inequalities.
2
(a) y ≥ − x + 2
5
(b) 5x + 4y ≤ 20
y
y
x
x