What is the slope of a line in the following equation:
C = 130.25 - 4.5g
-4.5
100
In order for a relation to be a function, the _______ can not repeat; this means that each input has exactly one output
What is the 'x-value'
100
Draw a picture of a system of equations that would have NO solutions. *Bonus, write a set of equations for a system that has NO solutions.
Drawing of parallel lines!
Equations must have same slope but different y-intercepts.
100
A triangle has the following vertices: A: (-1, 1), B: (6, -2), C:(3,5). If the triangle undergoes a dilation with a scale factor of 3, what will be the coordinates of the new image?
What is A': (-3, 3) B': (18, -6) C': (9, 15)
100
Write 0.000678 in scientific notation
What is 6.78 x 10^-4
200
What is the slope of a line that passes through the following points: (3, 6) and (4, 8)
2
200
Describe whether or not the relation below is a function {(3,2), (-3,2), (5,2), (-5, 2)}
This is a function because the x values do not repeat. Every input has exactly one output.
200
Write a set of linear equations that would have INFINITE solutions.
*Equations must have same slope and same y-intercept.
200
A triangle has the side lengths of 5 inches, 10 inches, and 12 inches. Could the triangle be a right triangle? Show or explain your thinking.
No!
25 + 100 does not equal 144
200
On a number line, the square root of 8 would fall between what two whole numbers?
What is 2 and 3?
300
The following three points are contained in the graph of a line: (2, 1), (4, 0), and (6, -1). What is the slope of the line?
What is -1/2?
300
Sketch a graph of a relation that would NOT be a function. Write a quick note about WHY this graph is not a function
*Teacher will review.
300
What is the value of x when y = 20 and 2x + y = 32.
What is x = 6?
300
An triangle is graphed containing points (1,1), (3, 1), and (4, 5). It is reflected over the x-axis. What are the coordinates of the new points?
What is (1, -1), (3, -1) and (4, -5)
300
An elephant weighs 3 x 10^5 grams. A mouse weighs 2 x 10^2 graphs. How many times greater in mass is the elephant than the ant?
What is 1.5 x 10^3 or 1,500 time greater in size.
400
Which function has the greater rate of change?
Function A: y = 3/4x - 2
Function B: passes through points (1, 2) and (4, 4)?
What is Function A? 3/4 > 2/3
400
Name three different ways to determine whether or not a function is LINEAR.
1) Look at the graph. Straight line = linear
2) Look at the slope between ALL points in a table. If the rate is CONSTANT, then the function is linear.
3) Look at the equation. If the equation can be written as y = mx + b, it is linear. (Equation cannot contain exponents)
400
Find a pair of numbers that satisfies these two conditions:
2x + 1 = y and x + y = 16
What is x = 5 and y = 11
400
What is the approximate length of the diagonal of a square with a side length of 10 centimeters?
100 + 100 = c^2
Square root of 200 is approximately 14.1 cm.
500
What is the slope of the line with the equation 2x + y = 4?
*Look carefully!!!
What is -2?
500
Name at least 2 different (x,y) coordinates that would fall on the line y = 2x - 4.
Prove your work.
*Teacher review.
500
A test has twenty questions worth 100 points. The test contains true/false questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?
What is 5 multiple choice questions.
500
A cone has a radius of 2 inches and a height of 4 inches.
A cylinder has a diameter of 3 inches and a height of 5 inches.
Which shape would hold a greater volume? Prove your answer by finding the volume of each figure.
Cone: 5.33pi inches cubed
Cylinder: 11.25pi inches cubed
The cylinder holds almost twice as much volume!
500
Triangle ABC has been dilated by a scale factor of 1/2 with the origin as the center. Describe at least 3 characteristics of triangle A'B'C'
1) triangle A'B'C' is 1/2 the size of ABC
2) The angle of triangle A'B'C' are congruent to triangle ABC
3) The coordinates of triangle A'B'C' are half the value of the coordinates of triangle ABC