Completing the Square
Systems
Solving Equations
Distance Word Problems
Miscellaneous
100
Always, sometimes, or never?
Factoring __________works to solve quadratic equations. Completing the square _________ works to solve quadratic equations.
sometimes; always
100
How many solutions does this system have?
y = 3x + 5
y = 2x - 3
one
100
Solve:
sqrt(x + 8) = -10
No solution
100
If Philomena drives for 45 minutes at 64 miles per hour, how far will she go?
48 miles
100
Write an expression for the probability that a die rolled 17 times will land on a number greater than 4 at least once.
1-(2/3)^17
200
What value would complete the square to make a perfect square trinomial?
x2 + 20x + _________
100
200
Solve the system graphically:
y = -3/2x + 5
y = 1/2 x - 3
(4, -1)
200
Solve:
x2 - 5x - 14 = 0
x = 7 or -2
200
In a round trip situation, or if two bodies exchange places, or make the same trip, the equation which can be used to set distances equal is:
s1t1 = s2t2
200
State the excluded values of:
24/(x^2-x-6)-(x-1)/(x+2)=(x+3)/(3-x)
x ne3, x ne-2
300
What value would complete the square to make a perfect square trinomial?
x2 + 11x + ________
121/4
300
Solve the system graphically:
6x - 10y = 70
y = 3/5 x - 5
No Solutions
300
Solve:
5x2 + 2x = 7
x = -7/5 or x = 1
300
If bodies start in the same place and travel in opposite directions, start apart and travel toward each other, or if any two trip segments have a known total distance, the equation that can be used is:
d1 + d2 = s1t1 + s2t2
300
State why the triangles are similar and find the value of x. 
AA; x = 24
400
What value would complete the square to make a perfect square trinomial?
x^2 + pi/2x + "___________"
pi^2/16
400
Find 2a + b if:
a + 3b = 1
2a + 7b = 4
-8
400
Solve:
x/2+1/8=x/6
x=-3/8
400
Raoul ran to the park at a speed of 6 mph, then borrowed a scooter and scooted home 4 miles per hour faster. The round trip took 48 minutes. How far was the park from his home?
3 miles
400
bar(DE) " is a triangle _____________ with a length of _______."
midsegment; 13
500
Solve by completing the square:
x^2 +8x - 3 = 0
x=-4+-sqrt19
500
I have 4 more dimes than quarters, worth $6.35 in all. How many of each kind of coin do I have?
17 quarters, 21 dimes
500
Solve:
24/(x^2-x-6)-(x-1)/(x+2)=(x+3)/(3-x)
x = -3
500
A motorcycle and a train left Mathville at noon and headed in opposite directions. The motorcycle traveled 10 miles per hour faster than the train. How fast was each traveling if they were 480 miles apart at 4pm?
Motorcycle: 65 mph
Train: 55 mph
500
What scale factor enlarges the figure on the left to become the similar figure on the right?
8/5 or 1.6