Simplify
Solve
Graphs
Adding, Subtracting, Multiplying, Dividing Integers
Random
100
Simplify the following expression: 3(x2-y)-9(x2+2y)
3x2 - 3y - 9x2 - 18y
-6x2 - 21y
100
Solve for t: 5t + 40=60
5t = 20
t=4
100
What is the domain and range? Express in interval notation.
Domain: (negative infinity, infinity)
Range: [-4, infinity)
100
-6 - 4
-10
100
Which of the following tables represents a function?
3, 4, 5, 8
200
Simplify the following expression: -(3x-2y)+5(x2-3y)
-3x + 2y + 5x2 - 15y
5x2 - 3x - 13y
200
Solve for 5x: 8(x - 1) - 4x + 6 = 10
8x - 8 - 4x + 6 = 10
4x - 2 = 10
4x = 12
x= 3
5(3)=15
200
What is the domain and range of the function below?
Domain: (negative infinity, infinity)
Range: (negative infinity, infinity)
200
(-9)(-2)(-3)
-54
200
Simplify the following expression: (4x2)(3x4)
12x6
300
If f(x)= 2x2+6x-12, evaluate when f(-3).
-12
300
Given the equation 7x + 6y - 2x + 3 = 3x, if x = -3, what is y?
7(-3) + 6y - 2(-3) + 3 = 3(-3)
-21 + 6y + 6 +3 = -9
6y-12 = -9
6y = 3
y = 3/6 or 1/3
300
The graph below represents f(x). At what interval(s) is the function decreasing?
(negative infinity, -1) (1, infinity)
300
6 + 4 - 7 - 8 +10
-5
300
Simplify the following expression using the appropriate power rule(s): (5x-1)(2x-4)
10x-5
10/x5
400
Given f(x)=4x-5, find -3f(x) - 6x+10.
-3(4x-5) - 6x + 10
-12x + 15 - 6x + 10
-18x + 25
400
Joe’s weekly salary s, in dollars, from driving his taxi x miles per week is given by the equation s = 19x - 10(x - t), where t is a constant. If Joe drove 2 miles last week and earned $48, what is the value of t?
48 = 19(2) - 10(2 - t)
48 = 38 - 20 + 10t
48 = 18 + 10t
30 = 10t
3 = t
400
The graph below represents the function g(x). At what interval(s) is the g(x)>0?
(-7, 0) (7, infinity)
400
6 - (-8)
14
400
Which of the following numbers is NOT a rational number?
14, 3/5, 3.555555, 5.63754..., 0, 23.345345345
5.63754...
500
Given f(x)=4x2 - 3x - 2 and g(x)=2x2 + 3x + 4, find (g-f)(x).
2x2 + 3x + 4 - (4x2 - 3x - 2)
-2x2 + 6x + 6
500
If y=ax, where a is a constant, and y=45when x=9, what is the value of y when x=7?
45 = a(9)
5=a
5(7) = 35
500
Using interval notation, identify the increasing and decreasing intervals of the function below:
Increasing: (negative infinity, -1) (5, infinity)
Decreasing: (-1, 5)
500
-9 + 10 - 12 + 3 - 5 + 6
-7
500
Is the following relation a function? Explain why or why not.
Independent variable: each automobile's unique license plate number
Dependent variable: an automobile in the state of Missouri
It is a function because there is only one unique license plate number for every automobile.