Functions and Sequences
Solving Equations
Geometry
Variation Problems
Graphs
100
Functions and Sequences
If f(x) = 4x
2
- 5, what is f(-3)?
f(-3) = 31
100
Solving Equations
Solve for x. 10 - 4x = 62
x = -13
100
Geometry
If 2 angles in a triangle measure 37 and 54, what is the measure of the 3rd angle?
89
100
Variation Problems
Write the statement into an equation p varies directly as the cube of x
p = x
3
100
Graphs
Given the equation y = 3x, what is the name of the graph?
Line
200
Functions and Sequences
If f(x) = 6x
2
, find 3f(-b).
3f(-b) = 18b
2
200
Solving Equations
Solve for x. (4/5)x - (2/5) = 6
x = 8
200
Geometry
Given a right triangle with one angle measuring 39, what is the measure of the other 2 angles?
90 and 51
200
Variation Problems
Write the statement into an equation y varies inversely as w and directly as the square of x
y = kx
2
/w
200
Graphs
Given the equation y = -2x
2
, where is the vertex located?
(0,0)
300
Functions and Sequences
If f(x) = -3x - 5, find x if f(x) = -26.
x = 7
300
Solving Equations
Solve for x. -2(x + 4) - 6 = -36
x = 11
300
Geometry
The length of a given rectangle is 2x - 3 and its width is 3x. Find the area of the rectangle in terms of x.
6x
2
- 9x
300
Variation Problems
Suppose y varies directly as the square of x. If y = 16 when x = 2, find the constant.
k = 4
300
Graphs
Given the equation y = -3/x, what quadrants is the graph located?
Quadrant 2 and 4
400
Functions and Sequences
Given the sequence A
n
= 3n + 7, find the first 3 terms of the sequence.
A
1
= 10 A
2
= 13 A
3
=16
400
Solving Equations
Solve the given equation for x. Y = (2/3)x + b
2(y - b)/3
400
Geometry
2 sides of a right triangle have lengths 15 and 36, find the length of the hypotenuse.
Hypotenuse = 39
400
Variation Problems
Suppose y varies inversely as x. If y = 10 when x = 2, find y when x = 10
y = 2
400
Graphs
Given the equation y = 3/x
2
, where are the asymptotes located?
x and y axis
500
Functions and Sequences
Given the sequence B
n
= 2n + 8, find n if B
n
= 26.
n = 9
500
Solving Equations
Solve the equation for z. A = xy/z
z = xy/A
500
Geometry
The length of a given rectangle is 20. It's width is 15. What is the length of the diagonal of the rectangle?
Diagonal = 25
500
Variation Problems
Suppose y varies inversely as the square of w and directly as x. If y = 6 when x = 8 and w =2 find y when x = 16 and w = 4.
y = 3
500
Graphs
Given the equation y = 9/x
2
, what is the domain and range?
Domain: x cannot equal 0 Range: y is greater than 0
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