How many ways can 2 students be chosen as president and vice president from a club of 30 students?
870
How many solutions does this system have?
y = 2x + 5
y = 2x - 3
None
Write an expression for: "Five less than the product of x and y"
xy - 5
What equation can be used to solve uniform motion problems with two trips of equal distances?
s1 t1 = s2 t2
Write an expression for the probability that a die rolled 5 times will land on 2 every time.
(1/6)^5
When solving a system with elimination or substitution yields a contradiction like 5 = 0, the system is ______________.
inconsistent.
When three times the supplement of an angle is divided by four, the result is 50 degrees more than the complement of the angle. What is the measure of the angle?
20 degrees
What are the three methods we've learned for solving systems?
Elimination, Substitution, and Graphing
How many different results are possible when a coin is tossed, a die is rolled, and a letter of the alphabet is randomly chosen?
312
Solve the system graphically:
y = -2/3x + 5
y = 1/2 x - 2
(6, 1)
I have 52 coins, all dimes and nickels, worth $4.40. How many of each kind of coin do I have?
36 dimes, 16 nickels
What are the three ways to prove triangles are similar?
AA, SAS, SSS
Write an expression for the probability that a die rolled t times will land on 6 at least once.
1 - (5/6)^t
Solve the system graphically:
6x - 10y = 70
y = 3/5 x - 7
Infinitely Many Solutions
A gym membership costs $100 for an initiation fee and then $25 per month. Write an equation relating the membership cost, m, to the duration of x months.
m = 25x + 100;
What equation can solve a uniform motion problem involving two trips with a known total distance?
d1 + d2 = s1t1 + s2t2
If a class of 20 students had an average score of 90 and another class of 30 students averaged 80, what was the overall average?
84
Solve with any method:
a - 12b = 3
2a + 3b = 15
(7,1/3)
A motorcycle and a train left Mathville and headed in opposite directions. The motorcycle traveled at 70 miles per hour and the train at 80 miles per hour. How long did it take for them to be 900 miles apart?
6 hours
Find the value of x:
12.5