Terminology
Inequalities
Trigonometry
Functions
Mystery
100

The definition for Percent

A number or ratio expressed as a fraction of 100, representing a part of a whole.

100

Find where x is true when: (abs value) l2x+1l less than 7, using interval notation

(-4,3)

100

Simplify: (1-cos2(x))/sin(x)

sin(x)

100

Given           2x+1  x less than 0

          f(x)

                   x2     x less than or equal to 0

Find f(-4) and f(3)

 f(-4)=-7 and f(3)=9

100

Long divide: (2x3+5x2-3x+6)/(x+3) 

2x2-x+(6)/(x+3)

200

The definition of Coterminal angles

angles in standard position that share the same terminal side — they end up pointing in the same direction, even if they have different measures

200

Solve: (3x-2)/5 less than (x+4)/2

x less than 24

200

A building casts a 120ft shadow with a 63 degree angle of elevation. What is the building's height?

235.5 ft

200

Given f(x)=4x+7

          f'(x)= (x-7)/4

Verify if the inverse given is true using f(f'(x))

f(f'(x))=x     👍

200

A square has a side length 10cm, find the length of it's diagonal 

10((square root)2) ~= 14.14 cm

300

The definition of a reference angle

The smallest positive acute angle between the terminal side of a given angle and the x-axis on the coordinate plane

300

Solve:     -x2+8x-12 greater than 0

2 less than x less than 6

300

Solve: sin(x)= (square root 3)/2, from 0 to 2pi

pi/3, 2pi/3 

300

Given the function: f(x)=2x-4

1. Find f-1(x)

2.Graph f(x), and f-1(x) on the same coordinate plane 

1. f-1(x)= x/2 +2 

300
Solve for x:   Log2(x-1) + Log2(x-3) = 3

x=5

400
The difference between a dependent and independent variables

An independent variable is a variable that you can change or control, while a dependent variable is one that depends on the value of the independent variable

400

Graph 

2x-3y less than or equal to 12

Find linear equation, type of line, and where to shade the graph

y=2/3 x -4, line=solid, shade above line

400

Given (1/2, (square root 3)/2)

Find equivalent radians, deg, and coterminal angle

pi/3, 60 degrees, 420 and

Coterminal angles: -300 degrees or 7pi/3 and -5pi/3 

400
Given f(x)= Square root(8x-8)

         g(x)= x+2

Find (f o g)(x)

2(square root(2x+2))

400

A 150$ jacket is on a 30% off discount and is subject to an 8% sales tax. What is the final price of the jacket?

113.4$

500

Difference between perpendicular and parallel lines

Parallel lines are two or more lines in the same plane that never intersect and are always the same distance apart.

Perpendicular lines are two lines that intersect at a 90° angle (a right angle)

500

Solve: x4-10x2+9 greater than 0 

(-infinity, -3) U (-1,1) U (3, infinity)

500

Given y=-2sin(x - pi/2)

Find the amplitude, period, phase shift, and 5 key points.

Amplitude=2, Period= 2pi, Phase shift = pi/2 to the right, Key points: (pi/2,0) , (pi,-2) , (3pi/2,0) , (2pi,2) , (5pi/2,0)


500

Given f(x)= (square root 2x+1)

         g(x)= (x+3)/(x-2)

Find (f o g)(x) 

(f o g)(x)= square root ((3x+4)/(x-2))

500

A school sold 320 tickets to a play. Student tickets cost $6, and adult tickets cost $10. The total revenue was $2,480. How many student and adult tickets were sold?

a=140, s=180

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