Pythagorean Theorem
Scientific Notation
Graphing Properties
▵ Word Problems
Systems of Equations
100
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle with legs 3 and 4 cm long.
5 cm
100
Convert to scientific notation: 2,108,000,000
2.108 x 109
100
What is the equation of the line?
y=-1/2x+3
100
Victoria walks away from her house. She walks 25 m west then 15 m south. How far, in meters, is she from her house?
29.2 meters
100
What is the solution to the system of equations?
(2,1)
200
Use the Pythagorean theorem a2 + b2 = c2 to find the missing side for the triangle with b=9 and c=20. (Round to nearest tenth.)
a = 17.9
200
Convert to scientific notation: 0.000891
8.91 x 10–4
200
Write the equation of the line:
y=3x-4
200
An envelope is 11 inches wide and measures 19 inches along the diagonal. How tall, in inches, is the envelope?
15.5 inches
200
Is x=2 a solution for the system of equations? If yes, what does y=? If no, what does x=?
y=3x+4
y=-3x+16
Yes.
y=10
300
Use the Pythagorean theorem a2 + b2 = c2 to find the distance between (–2, 4) and (4, 1). Round to the nearest tenth.
6.7
300
Correctly write the following expression in scientific notation: 0.014 x 10–8
1.4 x 10–10
300
In the equation 4x+2y=16, what would be the rate of change? (the m, if the equation was written as y=mx+b form)
m= -2
300
A 13 foot ladder is placed 5 feet away from a wall. How many feet up the wall will the ladder reach?
12 feet
300
Solve the system of equations using Equal Values (substitution) method:
(-5,-1)
400
Use the Pythagorean theorem a2 + b2 = c2 to find the missing side for the triangle with b=1 and c= sqrt16 . Round to the nearest tenth.
a = 3.9
400
Simplify the following product into scientific notation:
(2.5 x 108) (4 x 10–3)
10 x 105 --- Not Scientific Notation :(
1 x 106
400
Write the equation of the line that would be formed by the two points.
y=-2x-2
400
Ashmean is flying a kite with a string 25 meters long. If his friend is directly under the kite 10 m away, how high, in meters, is the kite off the ground?
22.9 meters
400
Solve the system of equations using Equal Values (substitution):
y=-12x-34
10x+y=-30
(-2, -10)
500
Use the Pythagorean theorem a2 + b2 = c2 to find the missing side's area for the triangle with a = area of 36 and c = 9.
45
500
Simplify the following quotient into scientific notation:
1.2 x 107
1.6 x 10–2
1.2/1.6 = 12/16 = 3/4 = 0.75
107 / 10–2 = 109
0.75 x 109 --- Not Scientific Notation :(
7.5 x 108
500
5
500
A football field is a rectangle 48 meters wide and 91 meters long. The coach Wilson asks players to run from corner to corner diagonally across the field. How far do the players run?
102.9 meters
500
Deb and Norma are making flashcards. Deb started last night and already has 15 made. If she can make 6 flashcards per minute and Norma can make 9 flashcards per minute, how long will it be until they have the same number of flashcards? How many flashcards will they have?
Write and solve a system of equations using the equal values method.
