Simplify & Evaluate
Linear Equations
Smorgasbord
Polynomials
Applications
100
Use the rule for order of operations to simplify
9*2^3 + 12 / 3 - 5^2
51
100
Find the x and y-intercepts for the following equation.
y=1/3x+2
(-6, 0) and (0, 2)
100
Solve the following inequality, then graph the solution set.
4/5b-6>=-2
b>=5
100
Factor completely
-24x^4y^3+6x^3y^4+24x^4y^4
6x^3y^3(-4x+y+4xy)
100
The length of a rectangle is 3 inches more than the width. The area is 10 square inches. Find the dimensions.
Length = 5, Width = 2
200
Simplify the following expression
3(3y - 3) + (3y + 1)
12y - 8
200
Find the slope of the line through the following pair of points.
(6, 4) and (2, 3)
m = 1/4
200
Perform the indicated operation.
(a^2-7)(a^2+7)
a^4-49
200
Factor by grouping.
2xy + 6x - 7y - 21
(2x - 7)(y + 3)
200
A baseball player gets 12 hits in the first 21 games of the season. If he continues hitting at the same rate, how many hits will he get in the first 35 games?
20 hits
300
Solve for x.
4x - 6 = 18
6
300
Write the equation of the line given (1, -6) and (-1, -2)
y = -2x - 4
300
What is the domain and range of the graph below and is it a function?
Domain (-oo,oo)
Range [0, oo)
Yes
300
Solve the following equation.
x(x - 7) + 14 = 2x
x = 2 and 7
300
Mr. Wilson invested money in two accounts. His total investment was $20,000. If one account pays 7% in interest and the other pays 3% in interest, how much does he have in each account if he earned a total of $1,160 in interest in 1 year?
$14000 in 7%
$6000 in 3%
400
Find the missing values given the following equation.
y = 4x + 1
(4,___)
(___, 0)
(___, -23)
(4, 17)
(-1/4, 0)
(-6, -23)
400
Solve the following system by substitution.
2x - y = 7
x = -y + 2
(3, -1)
400
Find (f o g)(x), (g o f)(x), (f o g)(0), (g o f)(0)
f(x) =
x^2-5x
g(x) =
2x+1
(f o g)(x) =
4x^2-6x-4
(g o f)(x) =
2x^2-10x+1
(f o g)(0) =-4
(g o f)(0) =1
400
Perform the following subtraction.
(6v^4-3v^3-1)-(-6v^4+3v^3+1)
12v^4-6v^3-2
400
A boat travels 30 miles up the river in the same amount of time it takes to travel 38 miles down the same river. If the current is 2 miles per hour, what is the speed of the boat in still water?
17 mph
500
Let f(x) = x2 -3 and g(x) = 3x - 1
Evaluate the following:
f(-1) =
f(-4) + g(-4) =
3f(x) + g(x) =
f(g(4)) =
g(f(4)) =
f(-1) = -2
f(-4) + g(-4) = 0
3f(x) + g(x) = 3x2 + 3x - 10
f(g(4)) = 118
g(f(4)) = 38
500
Solve the following system by elimination.
-2x - 2y = -2
2x - y = 11
(4, -3)
500
Solve for P, if PV = nRT
P=
(nRT)/V
500
Solve the equation for a.
3a^2 - 108 = 0
a = 6, -6
500
An object is thrown downward with an initial velocity of 77 feet per second. The relationship between the distance s it travels and time t is given by
s=7t+16t^2
. How long does it take the object to fall 78 feet?
2 seconds