Polynomials
Linear Equations/Graphs,
Systems of Equations
Systems of Equations
Similarity and Angle Rules
Volume and Formulas
Statistics and Probability
100
Add:
(x2+3x-5) + (-3x2 +7x + 2)
-2x2+10x-3
100
What does the coordinate (5,65) represent in this situation?
After working 5 hours, you have earned $65 total.
100
Triangle ABC is similar to Triangle DEF. Find x.
Scale Factor = 2
6x2=12
100
Find the volume of a cylinder with a diameter of 6 inches and a height of 8 inches. Round to the nearest tenth.
V=pi*(3)2*(8)
V= 72pi or 226.2 in3
100
You have a bag with 24 red marbles and 4 blue. You take out one blue marble and do not put it back. What is the probability your next marble is also blue? Leave your answer as a fraction.
First blue: 4/28
Second blue: 3/27
200
Multiply:
(x+5)(x-4)
x2+x-20
200
Write the Equation of this line:
y = 2x + 8
200
In a right triangle ABC, AB is equal to 1/2 of the hypotenuse AC. What is the measure, in degrees, of <C? (Hint: Use special triangle rule)
30 degrees
200
Find the volume of a sphere with a radius of 3 inches. Round to the nearest tenth.
4/3*pi*(3)3 = 36pi = 113.1 in3
200
What is the probability of randomly selecting a student that prefers vanilla?
50/72= 25/36= 69%
300
The area of a square can be represented by: x2+10x+25
What is the expression for the length of one side of the square?
(x+5) because (x+5)2 = x2+10x+25
300
A plumber charges $25 for a service call plus $50 per hour of service. What will be the total cost for 8 hours of work?
y=50x+25
y=50(8)+25
y=$425
300
Find the value of x
x=9
300
Rearrange the equation for Area of a Circle and solve for r.
A = pi*r2 (Divide by pi)
(A/h)=r2 (Square Root)
Sqrt(A/h) = r
300
What is the probability of selecting a boy that plays cricket?
14/80= 7/40= 17.5%
400
Factor out GCF:
15x2 + 25x - 5
5(3x2 + 5x - 1)
400
Find the y-value of the solution to the system:
7x+10y=13
6x+10y=14
Solution= (-1, 2)
y-value: y=2
400
Parallel lines with a transversal: Find the value of x
2x+43+2x-3=180
4x+40=180
4x=140
x=35
400
Find the volume of a right square pyramid with a base length of 4 cm and a height of 7cm . Round to the nearest tenth.
V=(1/3)*B*h where B=Base Area
B=4x4=16 cm2
V=(1/3)(16)(7) = 37.3 cm3
400
What is the probability of selecting a girl, given that she plays basketball?
12/22, or 6/11, or 55%
500
Factor out GCF:
18x3 - 9x2 + 6x
3x(6x2 - 3x + 2)
500
Lashelle spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 shirts, then how many of each kind did she buy?
28x+15y=131
x + y= 7
x=2 fancy shirts, y=5 plain shirts
500
The diagram below shows an inscribed quadrilateral. What is the measure of angle (x+15) ?
Opposite angles supplementary
x-21+x+15=180
2x-6=180, 2x=186, x=93
So the angle = 93+15=108
500
You have two cylinders: Cylinder A and Cylinder B. Find the volume of both and determine which is greater.
Cylinder A: d=8, h=3
Cylinder B: d=3, h=8
Cylinder A: pi * 16 * 3= 48pi or 150.8
Cylinder B: pi * 2.25 * 8 = 56.5
Cylinder A has a larger volume because its radius is much bigger.
500
Total=2+5+6+8+5+4=30
5+6=11, Answer: 11/30 = 36.7%