Functions and Linear Models
Given the line with equation y=3x+2, what is the slope and what is the y-intercept?
Slope = 3, y-intercept = 2
Simplify: 32 x 3-3
1/3
Name the transformation: sliding a figure left 3 units and up 2 units
Translation
List two possible ways a number can be considered irrational
(2 of 4 needed)
Non terminating
Non repeating
Not a perfect square
Not a fraction
What is the name of the side that is "c" in the pythagorean theorem?
hypotenuse
A taxi charges a $4 flat fee plus $2 per mile. Write an equation for cost C as a function of miles m, and identify the rate of change and initial value
c=2m+4, rate of change = 2, initial value = 4
Solve: 4(x−2)=3x+5
x = 13
Which value (x/y) flips when you have a y axis reflection.
x
Which is larger: square root of 27 or 5.6
5.6
Use the Pythagorean Theorem to find the missing side of a right triangle with legs 6 and 8
10
A linear function has a rate of change —2 and passes through (3, 7). Write its equation.
y=-2x+13
Evaluate and simplify: square root of 81 plus the cubed root of 27
Describe how to perform a rotation in regards to x,y.
x,y flips to y,x when you go over an axis line and does it again each time.
____
0.273/11
A sphere has radius 3 cm. What is the volume in terms of pi?
36pi
Use two points (1, 5) and (4, 14) to find the equation of the line in slope-intercept form
y=3x+2
Solve and check: 2(x+3)−5=3(x−1)+1
x = 3
Given triangle ABC is dilated by scale factor 1.5 from the origin. If A(2,4) maps to A', find coordinates of A'.
(3,6)
Describe how to tell from a graph if a system of equations has one solution, no solution or infinitely many solutions.
one solution - they intersect
no solution - they are parallel
infinitely many solutions - overlapping
No, the volume of that diameter is 91,952 cubic feet which is less than the 100,000 cubic feet needed.
Compare two functions: Function 1- (0,1), (2,5), (4,9). Function 2 given is y=4x+1. Determine which has the greater rate of change and justify using slope or equivalent reasoning.
Function 1 slope is 2. Function 2 slope is 4. Function 2 has the greater rate of change.
2 1 3
___ x + ___ x + 1 < ___
3 2 2
3
x < ___
7
Given two similar triangles with corresponding side lengths 6 and 15, find the scale factor from the smaller to the larger and find a missing side if another corresponding side in the smaller is 8.
20
Estimate the square root of 8 to the nearest tenth.
7.8
A water balloon has a spherical shape. The surface area of an average water balloon is 400pi centimeters squared. About how much water, in cubic centimeters, can a water balloon hold if filled to capacity? Round to the nearest tenth.
4188.79 cubic centimeters