Factoring and Solving in Algebra 1 CP

What is the greatest common factor (GCF) of 16x^2 and 20x?

• 16x

• 2x

• 4

• 4x

Which pair of numbers multiplies to 24 and adds up to -10?

• -3 and -8

• 2 and 12

• 4 and 6

• -4 and -6

What is the factored form of x^2 + 8x + 7?

• x + 4 and x + 2

• x + 1 and x + 7

• x - 1 and x - 7

• x - 4 and x - 2

If 2x(x + 5) = 0, what are the solutions for x?

• -2 and -5

• 2 and 5

• 0 and 5

• 0 and -5

What are the solutions for the equation x^2 + 14x - 15 = 0?

• 1 and -15

• -1 and 15

• 3 and -5

• 2 and -7

What is the GCF of 10x^2 and 30x?

• 10x

• 5x

• 10

• 30x

What are the x-intercepts of the function f(x) = (x - 8)(x + 4)?

• -8 and -4

• 8 and -4

• -8 and 4

• 0 and 12

For a rectangle with an area of 24 square feet and dimensions x + 1 by x - 4, what is the value of x?

• 4

• 1

• -4

• 7

What is the length of the rectangle when x = 7?

• 8 feet

• 3 feet

• 11 feet

• 7 feet

Why is the solution x = -4 not valid for the rectangle's dimensions?

• It results in a negative dimension

• It does not satisfy the area condition

• It is not a real number

• It exceeds the maximum possible length