Functions
Expressions and Equations
Systems of Equations and Inequalities
Data Analysis
Exponents and Radicals
100
Given: f(x)= 11x + 5 - 3x
Find f(7)
f(7)= 61
100
Simplify: 10x + 6 - 3x + 5 - 7y + 8y
7x + y + 11
100
Switch these equations to standard form: y= 3x - 5 and y= 8x + 7
-3x + y = -5 and -8x + y = 7
100
Given the following data set: 1, 5, 8, 11, 3, 9, 10, 2, 6, 12, 25
Find the median
8
100
What is x2 * x6?
x8
200
Given the function: f(x)= 3x2 + 4x - 6
Find f(3) and f(-1)
33 and -7
200
Solve: 2(4-y)-3(y+3)=-11
y=2
200
Solve the inequality: 5 - 6x ≤ 17
x ≥ -2
200
Given the following data set: 2, 5, 8, 6, 2, 3, 10, 2, 12, 14, 16, 15, 15, 22, 15
Find the mean, median, mode, and range
Mean: 9.8
Median: 10
Mode: 2 and 15
Range: 20
200
Simplify: 25 * 26, then divide by 23
28
300
The graph of a linear function, g(x), passes through the points (2,5) and (4,11). Find the equation of the function in standard form.
-3x + y=-1
300
Solve for x: 4|x+7|+9=17
x=-5 and x=-9
300
Solve the system of equations:
5x + 4y = 20
3x- 4y = 5
(2,3)
300
What type of distribution is showed below?
Which measure of center is more appropriate, the mean or median?
The distribution showed is normal distribution.
The best measure of center would be the mean.
300
Switch this expression to radical form: x5/2
Switch this expression to rational exponent from: √x7
√x5 and x7/2
400
Factor the following equation: f(x)= x2 + 3x + 2
(x+2) and (x+1)
400
If (x + 4)² + (x - 5)² = 14x + 26, what are the values of x?
x=38 and x=-30
400
Graph the solution set for the following system of inequalities: y > 2x - 3 and -2y ≤ 12x - 4
400
Given the following data set: 6, 2, 4, 8, 9, 7, 10, 11, 13, 15, 14
Find the median and the interquartile range (IQR)
Median: 9
IQR: 6 and 13
400
Simplify: √18 + √12
3√2 + 2√3
500
Find the roots: y= x2 + 2x + 6
No solution
500
Rewrite the quadratic expression by completing the square: x2 + 6x + 5
(x+3)2 - 4
500
Mia plans on buying 12 pizza boxes and 3 bottles of soda for a total of $162. The week after, Mia 8 pizza boxes and 3 bottles of soda for a total of $122.
What is the price of one box of pizza and one bottle of soda?
Pizza = 10 and Soda = 14
500
A data set has the following values: 10, 13, 15, 15, 18, 17, 20, 22, 24, 25. Calculate the mean, median, and mode.
How does replacing 25 with 30, affect the mean, median, and mode?
Mean: 17.9
Median: 17.5
Mode: 15
30 instead of 25:
Mean: 18.4
Median: 17.5
Mode: 15
The mean increases by 0.5. The median stays the same. The mode stays the same.
500
Rationalize the denominator and simplify: 5/√3
5√3/3