Fill in the blanks: If ____ angles of one triangle are congruent to ____ angles of another triangle, then ______________________.
two, two, the triangles are similar
100
A bucket contains 10 balls numbered as follows: 1, 2, 2, 3, 3, 3, 3, 4, 4, 5. A single ball is randomly chosen from the bucket. What are the odds against drawing a ball with a number less than 3?
7:3
100
Simplify the expression x3*x2*x-4
x
100
Write the expression in simplest form: (Ms Smith will write the question #13 from page 221 on the board).
4x(cube root)xy2
100
State the domain and range for the function y = 2.5e-0.5x + 1.
Domain: x = all real numbers; range: y > 1
200
Fill in the blanks: If two sides of one triangle are proportional to two sides of another triangle and _________________, then the _________________________.
the included angles are congruent, triangles are similar.
200
A pet store has 8 black labrador puppies (5 females and 3 males) and 12 yellow labrador puppies (4 females and 8 males). You select a puppy at random. What is the probability you select a puppy that is a female or a yellow labrador puppy?
17/20 = 0.85 = 85%
200
Perform the indicated operation: (2x3+5x2-7x+4)+(x3-3x2-4x)
3x3+2x2-11x+4
200
Let f(x) = 2x + 9 and g(x) = 3x - 1. What is f(x) - g(x)?
-x + 10
200
State the domain and range of the function f(x) = log (x + 3) + 2.
Domain: x > -3; range: y = all real numbers
300
Five-foot-tall Jinny casts an 84-inch shadow. How tall is her friend if, at the same time of day, his shadow is 1 foot shorter than hers?
4 ft 3 in
300
A refrigerator contains bottles of grape juice (3 bottles of 8 oz and 5 bottles of 12 oz) and cranberry juice (2 bottles of 8 oz and 4 bottles of 12 oz). Find the probability of choosing a bottle of grape juice given that the bottle is 8 oz.
3/5 = 0.6 = 60%
300
Factor the polynomial completely.
x4+5x2-6.
(x+1)(x-1)(x2+6).
300
Let f(x) = 2x + 9 and g(x) = 3x - 1. What is f(f(x))?
4x + 27
300
Solve the equation: 72x = 30
x = 0.874
400
Fill in the blank: If corresponding side lengths of two similar polygons compare in the ratio m/n, then their areas compare in the ratio _____.
m2/n2
400
Ms Smith's desk measures approximately 24 in by 48 in. 87% of her desk is covered with random teaching stuff. If you drop off a homework assignment on her desk while she is not here, what is the chance that it will get lost on top of the other stuff already on her desk?
87%
400
Find all real zeroes of the function.
f(x)=4x4-8x3-19x2+23x-6
-2, 1/2, 3
400
Find the inverse of the function: 5x - 12.
f-1(x)= (x+12)/5
400
Solve the equation. log4x + log4(x + 6) = 2.
2
500
The ratio of the surface areas of two cubes is 49/81. What is the ratio of their sides?
7/9
500
Find the probability of the following events if you draw first from a standard deck of cards, do not replace it and then draw again. P(black 10 and red face card)
1/221
500
Write a polynomial function f of least degree that has rational coefficients, a lead coefficient of 1, and the given zeros: 6, 2i.
x3-6x2+4x-24
500
Solve the equation: x - 3 = sqrt(x - 1)
5
500
You deposit $2500 in an account that pays 3.5% annual interest compounded continuously. What is the balance after 8 years?