Algebra 1 GMAS Review Unit 3

Which expression is equivalent to 121x² – 64y² ?

• (11x – 16y)(11x + 16y)

• (11x – 16y)(11x – 16y)

• (11x + 8y)(11x + 8y)

• (11x + 8y)(11x – 8y)

Which expression is a factor of 24x² + 16x + 144?

• 16

• 8x

• 3x² + 2x + 18

• 8(x – 2)(3x² + 9)

Which of these shows the complete factorization of 6x² y² – 9xy – 42?

• 3(2xy² – 7)(xy² + 2)

• (3xy + 6)(2xy – 7)

• 3(2xy – 7)(xy + 2)

• (3xy² + 6)(2xy² – 7)

What are the zeros of the function represented by the quadratic expression 2x² + x – 3?

• x = – 3/2 and x = 1

• x = – 2/3 and x = 1

• x = –1 and x = 2/3

• x = –1 and x = – 3/2

What is the vertex of the graph of f(x) = x² + 10x – 9?

• (5, 66)

• (5, –9)

• (–5, –9)

• (–5, –34)

Which of these is the result of completing the square for the expression x² + 8x – 30?

• (x + 4)² – 30

• (x + 4)² – 46

• (x + 8)² – 30

• (x + 8)² – 94

The expression –x² + 70x – 600 represents a company’s profit for selling x items. For which number(s) of items sold is the company’s profit equal to $0?

• 0 items

• 35 items

• 10 items and 60 items

• 20 items and 30 items

The formula for the area of a circle is A = πr² . Which equation shows the formula in terms of r?

• $r=\frac{2A}{\pi}$

• $r=\frac{\sqrt{A}}{\pi}$

• $r=\sqrt{\frac{A}{\pi}}$

• $r=\frac{A}{2\pi}$

What are the solutions to the equation 2x² – 2x – 12 = 0?

• x = –4, x = 3

• x = –3, x = 4

• x = –2, x = 3

• x = –6, x = 2

What are the solutions to the equation 6x² – x – 40 = 0?

• x = – 8/3 , x = – 5/2

• x = – 8/3 , x = 5/2

• x = 5/2 , x = 8/3

• x = – 5/2 , x = 8/3