Rational/Irrational
Variable Operations
Polynomials
Linear Regression
Functions
100
Select ALL choices that are irrational.
A) sqrt 11
B) sqrt 256
C) sqrt 25
D) sqrt 181
E) sqrt 3
A, D, & E
100
Solve:
−3x−7≤11
x≥−6
100
Factor the following expression 12x2+24x completely.
12x(x+2)
100
Which correlation coefficient indicates a stronger relationship: − 0.9 or 0.85?
A
-0.9
B
0.85
A
100
Evaluate the following question for f(-2):
f(x)=3x+2
-4
200
What is the slope of the equation between these two points?
(-2,11) (5,6)
m= (-5/7)
200
1/2(b+2)+3b=−1
-4/7
200
Multiply the two polynomials and write your answer in standard form
−3x(4x−2)
−12x2+6x
200
What does a correlation coefficient of r=0.95 imply about the graph of a data set? Select all that apply.
A
Generally, the slope is positive.
B
Generally, the slope is negative.
C
A linear model is a good fit for the data.
D
A linear model is not a good fit for the data.
A & C
200
What are the zeros or x-intercepts of the parabola?
(-1, 0) and (5, 0)
300
True or False
The sum of two rational numbers is irrational.
False
300
A private library offers an yearly membership worth $265. But for every book to be issued, it applies an additional charge of $5. Use slope-intercept form to determine the equation of the line.
y=5x+265
300
Simplify (12a5−6a−10a3)−(10a−2a5−14a4) .
14a5+14a4−10a3−16a
300
Select all of the correlation coefficients that represent a linear model with a weak correlation.
A)−0.982
B) −0.618
C) −0.103
D) 0.204
E) 0.907
F) 1
C & D
300
Consider the equation of parabola f(x)=−(x+7)2−10.
The x-coordinate of the vertex is:
-7
400
The product of a nonzero rational and an irrational number is always ________.
Irrational
400
Solve and graph the following inequality:
3x−5 > −4x+9
x > 2
400
Select all of the statements that are true about the following expression: −4x3+3x2−1
A
The polynomial is a cubic trinomial.
B
The polynomial is not in standard form.
C
The degree of the polynomial is 3.
D
The leading coefficient is 4.
E
The polynomial has 3 terms.
F
The leading coefficient is -4.
A, C, & F
400
The linear regression equation for a data set is y=−2.8x+70.8, where y is the temperature in degrees Fahrenheit, and x is the number of hours since 8 a.m. What does the slope of the equation represent?
A) For each hour that goes by, the temperature decreases 2.82 degrees Fahrenheit.
B) For each hour that goes by, the temperature increases 2.82 degrees Fahrenheit.
C) For each hour that goes by, the temperature decreases 70.8 degrees Fahrenheit.
D) For each hour that goes by, the temperature increases 70.8 degrees Fahrenheit.
A) For each hour that goes by, the temperature decreases 2.82 degrees Fahrenheit.
400
What is the axis of symmetry for 
x=2
500
Choose the best explanation for why the sum of a rational number and an irrational number is an irrational number.
A) the sum can be written as the ratio of two integers
B) the product is a rational number
C) the quotient is not necessarily an integer
D) the sum cannot be written as the ratio of two integers
D) the sum cannot be written as the ratio of two integers
500
Find the product of (2x+3)(3x−2)
6x2+5x−6
500
Multiply & simplify completely (2x + 1)(x2 − 4x + 5).
2x3− 7x2 + 6x + 5
500
The table below shows the number of hours ten students spent studying for a test and their scores.
Write the linear regression equation for this data set. Round all values to the nearest hundredth.
y=7.79x+34.27
500
Given the quadratic equation y=x2+10x+20
Part A
Find the axis of symmetry
Part B
Find the vertex
Part A
x=5
Part B
(-5, -5)