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Probability
Multiplying
Basic Factoring
Factoring
MORE INVOLVED (each worth 1000)
100
Mr. Hruskoci left some cans on the kitchen counter: 3 spinach and 2 squash. His son Chuck accidentally knocked one over and onto the floor. How likely is it that he knocked over a can of spinach?
What is 3/5?
100
–2(5x–8)
What is –10x+16?
100
What is the prime factorization of 153?
What is 3^2×17?
100
7x+56
What is 7(x + 8)?
100
Snook has a bag of candy. He begins with 8 Snickers, 7 Tootsie Rolls, and 5 Almond Joys. If he eats 3 Snickers, and 2 Tootsie Rolls, what's the probability the next two he eats are Almond Joys?
What is 2/21?
200
Today Chuck decides to go fishing at Big Pond, which has 1 carp and 4 trout in it. If he catches only one fish all day long, how likely is it that it is a carp?
What is 1/5?
200
4(2x–4)–2(5x+1)
What is –2x–18?
200
What is the prime factorization of 135?
What is 3^3×5
200
7x–7
What is 7(x - 1)?
200
Suppose you have a box. One side is an unknown number of inches long. The second is 4 inches longer than that. What is the expression for the are of the base of this box?
What is x^2 + 4x?
300
Mr. Linares took the streetcar downtown in the morning and back to his own neighborhood in the afternoon. In the morning there were 4 men and 2 women on the streetcar before he got on, and in the afternoon 4 men and 8 women. On both rides, he sat next to someone. What is the probability that he sat next to a man both times?
What is 2/9?
300
(x+5)(x–8)
What is x^2–3x–40?
300
What is the prime factorization of 325?
What is 5^2×13
300
x^2+11x+28
What is (x + 4)(x + 7)?
300
You have a square box whose area is given by: x^2 + 7x - 30. What are expressions for the two side lengths?
What is (x - 3) and (x + 10)
400
Ellen buys a box of chocolates, which come with different fillings inside. The flavors are: 2 mint and 6 caramel. How probable is it that Ellen eats a mint then a caramel?
What is 3/14?
400
x^2(x+2y)
What is x^3+2x^2y
400
The greatest common factor of 154 and 42
What is 14?
400
x^2+x–12
What is (x + 4)(x - 3)?
400
Factor: 2x^2 - 18x + 36
What is 2(x - 3)(x - 6)?
500
Mrs. Weeks stayed at the Rockingham Hotel twice. The first time in April, there were 4 rooms by the garden, 3 rooms by the seashore and 1 room by the restaurant available. In May, when she returned, the available rooms were: 2 rooms by the garden, 1 room by the seashore and 1 room by the restaurant. How likely is it that she never got a room by the garden?
What is 1/4?
500
(4x+5)(–7x+5)
What is –28x^2–15x+25?
500
The greatest common factor of 42 and 126
What is 42?
500
x^2–25
What is (x - 5)(x + 5)?
500
Factor 5x^3 - 45x
What is 5x(x - 3)(x + 3)