Number System
Write the numbers in order from least to greatest.
5.6, square root 30, 4.7, square root 20
square root 20, 4.7, square root 30, 5.6
Solve the equation. y3=125
5
A function has _____output(s) for____input.
one output for every input
What is the equation for the Pythagorean Theorem?
a2+b2=c2
Give an example of categorical data and measurement data. Explain the definition of each.
Categorical-hair color, eye color, animals, etc. Data that does not give number answers.
Measurement-height, weight, length, etc. Data that gives number answers.
Which numbers are irrational?
Square root of: 25, 56, 14, 100
Square root of 56 and 14.
Solve: 2(x+2)=10. Explain what property you use.
Distributive property; x=3
Mr. Zarbock left the cinema, drove towards his house, got gas, and then continued driving to his house. Let the x-axis represent time and y-axis represent the amount of gas in his gas tank. Sketch a graph that represents the relationship between the amount of gas and time.
Answers will vary.
Describe the difference between a reduction and enlargement of a dilation include what happens with the scale factor.
Reduction-reduces the size of the shape (Scale factor is less than 1.)
Enlargement-enlarges the size of the shape (Scale factor is greater than 1.)
What is the equation used to determine the line of best fit for a scatter plot?
y=mx+b
Explain the difference between rational and irrational. Give an example of each.
Rational numbers include whole numbers, integers, terminating and repeating decimals. Examples:1, 0.5, 0.353535
Irrational numbers include non perfect square roots whose decimals never end. Examples: Square root of 31, 0.23589789654
What is the value of n when 7n-12=5n+6? Explain what your first step should be.
n=9; combine like terms (Subtract 5n from both sides.)
Draw a function with one increasing interval, two constant intervals, and one decreasing interval.
Answers will vary.
Define a translation, reflection, and rotation.
Translation-slide
Reflection-flip
Rotation-turns
Out of the points listed, which point(s) would be the outliers?
(10,20) (11, 25) (10,21) (24, 56) (10.5,19)
(24,56)
On the number line, between which two consecutive whole numbers would the square root of 35 be located?
5 and 6
Classify the equation, 7(11x+10)=77x+70 as having one solution, no solution, infinitely many solutions. Explain why.
Infinitely many solutions because 70=70.
Find the rate of change of the linear function from the point (0,8) to the point (16,14). Simplify your answer.
6/16=3/8
Solve for the measure of angle Q. Each angle of the triangle is listed. (Might help to draw a triangle.)
Angle Q=x+82
Angle P=x-16
Angle R=x
x=38
Angle Q= 120
List a pair of categories that would produce a scatter plot that has a negative association.
Answers will vary.
Example: Time watching television and test grades, temperature and amount of clothing
If x = 55 and y =27, is the square root of x + y rational or irrational?
The square root of 82 is irrational.
A rental car company charges $240.00 per week plus $0.15 per mile to rent a car. How many miles can you travel in one week for $336.00? (Hint: Set up an equation.)
240 + 0.15m=336; 640 miles
Answers will vary. y=mx+9 (Initial value is the same as y-intercept.)
Angle A and angle B are remote interior angles. Angle C is an exterior angle. If angle B is 80 degrees and angle C is 125 degrees, what is angle A?
Angle A=45 degrees
What are the three types of relative frequency tables? Explain how to calculate each of them.
Total Relative Frequency-Divide each number by the total number
Row Relative Frequency-Divide each number by the row total
Column Relative Frequency-Divide each number by the column total