Factors & Multiples
Is 29 a prime number?
What is Yes
Find
√81
What is 9
What is the GCF of 8x and 12x?
What is 4x
Expand 3(x+4)
What is 3x+12
To factor x2+7x+12, you need two numbers that add to ___ and multiply to ___.
What is 7 and 12
Write 72 as a product of prime factors.
What is
2^3·3^2
Find
∛125
What is 5
Find the GCF of 12x3 and 18x2
What is 6x2
Expand (x+2)(x+3)
What is
x^2+5x+6
Factor: x2+5x+6
What is (x+2)(x+3)
Find the GCF of 48 and 72.
What is 24
Is 144 a perfect square, perfect cube, both, or neither?
What is a Perfect Square
Factor completely: 8x + 20
What is 4(2x+5)
Expand & simplify: (x+6)(x-2)
What is
x^2 + 4x-12
Factor: x2-9x+20
What is (x-5)(x-4)
Find the LCM of 18 and 24.
What is 72
Write 900 as a product of primes and find the √900
What is 2^2(3^2)(5^2) and 30
Factor completely: 15x3y2-25x2y3
What is
5x^2y^2(3x-5y)
Expand & Simplify:
(2x-5)(x+4)
What is
2x^2+3x-20
Factor: x2+2x-35
What is (x+7)(x-5)
Two flashing lights blink at the same time. One flashes every 24 seconds and the other every 36 seconds. How long until they flash together again?
What is 72 seconds
Is 1728 a perfect square, perfect cube, both, or neither? Justify using prime factorization.
What is The exponents are all divisible by 3 but not all by 2, so it is a perfect cube only.
1728=2^6·3^3
∛1728 = 12
Factor completely:
4x(x+3)-7(x+3)
What is
(x+3)(4x-7)
A rectangle has dimensions (x+7) metres by (x-3) metres. Write a simplified expression for its area.
What is
x^2 + 4x-21
A rectangle has an area of x2-3x-40. If its side lengths can be written as two binomials, determine the dimensions.
What is (x-8) and (x+5)