Pythagorean Theorem
Squares & Square Roots
Linear Equations
Factoring Quadratics
Distance/Rate/Time
100
What is the equation for the Pythagorean theorem?
a2+b2=c2
100
What is the symbol for a square root?
100
Solve for a.
21 = 7a
a = 3
100
Factor.
x2 + 3x − 4
(x+4) (x−1)
100
Annika ran north at 1.25 mph. 4 hours later Gabriella set out in pursuit on a bicycle at 6.25 mph. How long did it take Gabriella to catch Annika?
1 hour
200
What type of triangle required for the Pythagorean Theorem to work?
a right triangle
200
What is 82?
64
200
Solve for w.
6(w - 2) = 6
w = 3
200
Factor.
x2 + 13x + 36
(x+9) (x+4)
200
Two golf carts set out from the same point. The first golf cart travels northwest at 7.5 mph and the second golf cart travels southeast at 2.5 mph. How long until the golf carts are 28.125 miles apart?
2.81 hours
300
What is the name given to the longest side of a right triangle?
the hypoteneuse
300
What is the square root of 144?
12
300
Solve for x.
−1 = (5 + x) / 6
-11
300
Factor.
x2 - 23x + 132
( x - 11 ) ( x - 12 )
300
Luke left Waunakee and drove toward Big Powderhorn Mountain at an average speed of 65 mph. Petr left some time later driving in the same direction at an average speed of 75 mph. After driving for 2 hours Petr caught up with Luke. How long did Luke drive before Petr caught up?
2.31 hours
400
The height of a triangle is 3. The base of the triangle is 4. What is the hypotenuse?
a2+b2=c2 ---> 32+42=c2 ---> 9+16=25; the square root of 25 is 5. The length of the hypotenuse is 5
400
What is 52 + 62 ?
25 + 36 = 61
400
Solve for p.
−(1 + 7p) − 6(−7 − p) = 36
5
400
Factor:
x2 - 16
( x - 4 ) ( x + 4 )
400
Katja and Tony are 52. miles apart on a hiking trail. Katja starts walking toward Tony at a rate of 2.5 mph at 9:00 am. Tony begins running towards Katja at 3.75 mph at 1:00 pm. At approximately what time do they meet?
approximately 7:43 PM
500
A thirteen foot ladder is placed five feet from the base of a wall, what is the resulting height up the wall?
12 feet
500
Simplify. Your answer should only contain positive exponents.
(x-2x-3)4
1 / x20
500
Solve for y.
7(2y + 3)/5 = -7
y = -4
500
Factor:
7x2 - 40x - 63
( x - 7 ) ( 7x + 9 )
500
Dylann and Marnie are 440 miles apart on a driving route. Dylann starts driving towards Marnie at a rate of 55 mph at 9:00 AM. Marnie leaves 2 hours later, and they meet on the route at 1:30 PM. How fast was Marnie driving?
77 mph