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 of equations:
y = -3/2x + 5
y = 1/2 x - 3
(4, -1)
200
Solve:
x2 - 5x - 14 = 0
x = 7 or -2
200
Darius drove from his home to a party at 60 miles per hour. He drove back home at 80 miles per hour. The total travel time for both trips was seven hours. How far is Darius's home from the party?
200
What is the equation of a line that is perpendicular to y = -3x + 5 and passes through (12, -7)?
y = 1/3x - 11
300
What value would complete the square to make a perfect square trinomial?
x2 + 11x + ________
121/4
300
Solve the system of equations:
6x - 10y = 70
y = 3/5 x - 5
No Solutions
300
Solve:
5x2 + 2x = 7
x = -7/5 or x = 1
300
A train left San Antonio at 3 am heading for El Paso, which is 600 miles away. Ten hours later, another train leaves El Paso heading for San Antonio at the same speed. If the trains meet at 2 pm, what is the speed of the trains?
50 mph
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
Noah 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:
2 xx 2/(3*x^2)
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 520 miles apart at 4pm?
Motorcycle: 70 mph
Train: 60 mph
500
What scale factor (similarity ratio) enlarges the figure on the left to become the similar figure on the right?
8/5 or 1.6