Number Sense
Is the cubed root of 125 a rational or irrational number? Why?
Find the slope of the line that passes through the following two points: (4, 7) and (6, 15).
The slope is 4.
Is a relation that contains the following points a function? Why?
(-2, 4), (3, 1), (4, -2), (5. -1), (-2, 4), (7, 9)
Yes, because every input (x-value) has one output (y-value)
What are the points of the image of triangle ABC with the following points as it vertices, if it is translated using the following rule (x+3) and (y-4).
Triangle vertices: A(3, 6), B(2, 8), and C(6, 2)
The image of the Triangle ABC would be as follows:
A'(6, 2), B'(5, 4), and C'(9, -2)
The simplified version of this expression (a5b2c7)3
What is a15b6c21 ?
Solve the following multi-stepped equation for x.
-4x - 3(-3x + 9) = 3
x = 6
Is the following a linear function?
y = 2(3x - 5 + x - 2)
Yes, this is a linear function.
If the diameter of a cylinder is 6 cm and its height is 9 cm, what is the approximate volume of that cylinder? (Please use the formula sheet)
The volume is approximately 254.34 cubic centimeters.
If the area of a chess board is 64 square units, what is the length of one side of the chess board? What is the distance around (perimeter) of the chess board?
The side length is 8 units and the perimeter is 32 units.
What is an equation that will solve the following problem? What is the total cost for 8 hours of work?
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.
The equation would be; C = 50h + 25
The cost for 8 hours of work is $425.00
Which function has the greater rate of change? Why?
Function A: y = 2/3x + 8
Function B: y = 2/5x + 8
Function A because 2/3 is greater than 2/5.
Janice is reading the directions concerning how far away from a wall she should place a ladder before climbing it. The directions say that she should place the ladder 3 feet from the wall. If the ladder is 12 feet long, approximate how high on the wall will the ladder reach? (Round to the nearest tenth)
It will reach approximately 11.6 feet high on the wall.
What is 0.77777... (The 7 is repeating) written as a fraction?
7/9
What is the equation for the line that passes through the points (3, 4) and (5, 8)?
The equation of this line is y = 2x -2.
Which function has a greater initial value? Why?
Function A: y = 2/3x + 1
Function B: y = 5x - 15
Function A because a positive 1 is greater than a negative 15.
If one angle of a same-side interior angle pair is 35 degrees, what is the measure of the other angle of that angle pair?
The measure of the other angle is 145 degrees.
The state of Colorado covers about 1.04 × 105 square miles. The Indian Ocean covers about 2.808 × 107 square miles. How many times bigger than Colorado is the Indian Ocean?
2.7 x 102
Solve the following system of equation using substitution.
-3x - 3y = 3
y = -5x - 17
The solution is (-4, 3).
The output of function A is equal to the input dividing by two while the Function B is represented by the equation y = 3x - 4. Which of these two functions has the greater rate of change? Why?
Function B because its rate of change is 3 while Function A has a rate of change of 1/2.
Howard is solving a problem involving a pair of vertical angles, if the first angle is worth 6x - 19 and the second angle is worth 3x _ 32, what is the value of x? How many degrees do the first and second angle measure?
The value of x is 17.
The measure of the first and second angles is 83 degrees.