Unit 5 Retest - Algebra

Select all equations that are equivalent to (x^2 + 10x = -9).

• (x^2 + 10x + 9 = 0)

• (x^2 + 10x + 25 = 9)

• (x^2 + 10x + 25 = 16)

• ((x + 5)^2 = 9)

• ((x + 5)^2 = 16)

Tags

CCSS.HSA-REI.B.4B

Solve the equation by completing the square: (x^2 - 8x = -5).

• (x = 0.68) or (x = 7.3)

• (x = 2) or (x = 6)

• (x = 3) or (x = 5)

• (x = 4) or (x = -4)

Tags

CCSS.HSA-REI.B.4B

Solve the equation using the quadratic formula: (2x^2 - 3x - 5 = 0).

• (x = 5/2) or (x = -1/2)

• (x = 3/2) or (x = -5/2)

• (x = -1) or (x = 2.5)

• (x = 1.5) or (x = -1.67)

Tags

CCSS.HSA-REI.B.4B

How many real solutions does the equation x^2 + 5x + 20 have?

• 0

• 1

• 2

• 3

Tags

CCSS.HSA-REI.B.4B

Select all the solutions to the equation (x - 4)^2 = -9.

• x = 4 - 3i

• x = 4 + 3i

• x = -1

• x = 1

• x = 7

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

What is the next step Noah should take to solve the equation x^2 + 6x + 9 = -17 using complex numbers?

• Factor the left side to (x + 3)^2

• Add 17 to both sides to set the equation to zero

• Subtract 9 from both sides

• Use the quadratic formula

Tags

CCSS.HSA-REI.B.4B

After simplifying the equation (x + 3)^2 = -8, what should Noah do next to find the values of x?

• Take the square root of both sides

• Multiply both sides by -1

• Add 8 to both sides

• Factorize the equation further

Tags

CCSS.HSA-REI.B.4B

Lin encounters a negative number under the square root in her quadratic formula calculation, 144 - 272. What is the correct way to proceed with complex numbers?

• Ignore the negative sign and proceed

• Use i to represent the square root of -1

• Change the negative sign to positive

• Recalculate the discriminant

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

• 144

• -128

• 128

• -272

Tags

CCSS.HSA-REI.B.4B

What is the vertex form of the quadratic function f(x) = x^2 - 12x + 8?

• f(x) = (x - 6)^2 - 28

• f(x) = (x + 6)^2 + 28

• f(x) = (x - 6)^2 + 36

• f(x) = (x + 6)^2 - 36