What is (1)(-52), (-1)(52), (2)(-26), (-2)(26), (4)(-13), (-4)(13)
100
Simplify: (-4xy)/(10x)
What is -(2y)/5?
100
Factor completely:
p^2 - 14p + 49
What is (p-7)^2?
100
If a number is subtracted from its square, the result is 30. Find the number.
What is 6 or -5?
100
Write the product as a binomial.
(x + 3)(x - 3)
What is x^2 - 9?
200
Find the prime factorization of 2310.
What is 2 x 3 x 5 x 7 x 11?
200
Find the GCF of 72(x^3)(y)(z^3) and 120(x^2)(z^5)
What is 24(x^2)(z^3)?
200
Factor completely:
t^2 - 16t - 40
What is Prime?
200
Find two consecutive positive even integers whose product is 224.
What is 14 and 16?
200
Is the trinomial a perfect square? Prove it.
64u^2 + 72uv + 81v^2
What is no 72uv does not equal 2(8u x 9v)?
300
Find the GCF of 132 and 242.
What is 22?
300
Find the missing factor:
75(a^6)(b^6) = [(ab)^3][(5a)^2][?]
What is 3a(b^2)?
300
Factor completely:
x^2 - x - xy + y
What is (x - 1)(x - y)?
300
The formula h = rt - 4.9t^2 can be used to get a good approximation of the height h (in meters) of an object t seconds after it is projected upward with an initial speed of r meters per second (m/s).
An arrow is shot upward with an initial speed of 34.3 m/s. When will it be at a height of 49 m?
What is the arrow is 49 m high both 2s and 5s after being shot?
300
Factor:
b^2 - 36
What is (b + 6)(b - 6)?
400
Find the GCF of 141, 198, and 364.
What is 1?
400
Divide:
[(x^3)(y) - 4x + 6]/ (xy)
What is (x^2) - (4/y) + (6/x)?
400
Solve:
8u^3 - 2u^2 = 0
What is {0, 1/4}?
400
Originally a rectangle was twice as long as it was wide. When 4 m were added to its length and 3 m subtracted from its width, the resulting rectangle had an area of 660 m^2. Find the dimensions of the new rectangle.
What is 40 m by 15 m?
400
Factor the expression as the difference of two squares. Then simplify the factors.
u^2 - (u - 5)^2
What is [u - (u - 5)][u + (u - 5)] = 5(2u - 5)?
500
There are seven houses; in each house are seven cats. Each cat kills seven mice. Each mouse would have eaten seven ears of wheat. Each ear of wheat will produce seven hekats of grain. How much grain was saved? Express your answer in exponential form.
What is 7^5?
500
Factor:
8(a^2)(b)(c^2) - 12a(b^2)(c^2)
What is 4abc^2(2a - 3b)?
500
Solve:
7x^2 = 18x - 11
What is {11/7, 1}?
500
The length of a rectangle is 9 cm more than its width. The area of the rectangle is 90 cm^2. Find the dimensions of the rectangle.
What is 6cm by 15 cm?
500
Decide whether each polynomial is a perfect square. If it is factor it. If it is not, show proof why it is not a perfect square.
121c^4 - 264c^2 + 144