Answers NY-Algebra I Term 2 HillcrestUnit Test

Unit Test — Unit test Answers

0 verified answers

Free Preview

Which equation has an a-value of –2, a b-value of 1, and a c-value of 3?

0 = –2x2 + x + 3

0 = 2x2 + x + 3

0 = –2x2 + 3

0 = 2x2 – x + 3

Free Preview

What is the value of the discriminant of the quadratic equation −2x2 = −8x + 8, and what does its value mean about the number of real number solutions the equation has?

The discriminant is equal to 0, which means the equation has no real number solutions.

The discriminant is equal to 0, which means the equation has one real number solution.

The discriminant is equal to 128, which means the equation has no real number solutions.

The discriminant is equal to 128, which means the equation has two real number solutions.

An architect designs a diagonal path across a rectangular patio. The path is 29 meters long. The width of the patio is x meters, and the length of the path is 5 meters more than the width.

0.5(x)(x + 5) = 29

0.5(x)(x + 5) = 841

x2 + (x + 5)2 = 29

x2 + (x + 5)2 = 841

The first three steps in determining the solution set of the system of equations algebraically are shown in the table.y = −x2 +2x − 9 y = −6x + 6

(5, −24) and (3, −12)

(5, 36) and (3, 24)

(−5, −24) and (−3, 12)

(−5, 36) and (−3, 24)

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x + 8, and what does it mean about the number of real solutions the equation has?

The discriminant is −55, so the equation has 2 real solutions.

The discriminant is −55, so the equation has no real solutions.

The discriminant is 73, so the equation has 2 real solutions.

The discriminant is 73, so the equation has no real solutions.

What are the solutions to m2 – 9 = 0?

m = –9 and m = 0

m = –3 and m = 3

m = –3

m = 9

Mischa wrote the quadratic equation 0=-x2+4x-7 in standard form. If a = -1, what is the value of c in her equation?

c=-7

c=-1

c=4

c=7

What are the solutions to the quadratic equation 4(x + 2)2 = 36

x = −11 and x = 7

x = −7 and x = 11

x = −5 and x = 1

x = −1 and x = 5

A quadratic equation of the form 0 = ax2 + bx + c has one real number solution. Which could be the equation?

0 = 2x2 – 4x + 1

0 = 2x2 – 5x + 3

0 = –2x2 – 4x – 2

0 = –2x2 – 3x – 1

Solve x2 − 24x = −80 by completing the square.What is the solution set of the equation?

{2, 40}

{4, 20}

{5, 16}

{8, 10}

A rectangle’s length is 5 inches more than twice its width. Its area is 50 square inches. Which equation can be used to find its width, w?

2w(2w + 5) = 50

2w(w + 5) = 50

w(2w + 5) = 50

w(w + 5) = 50

A quadratic equation has zero real number solutions. Which could be the discriminant value associated with this equation?

–5

The product of two consecutive integers is 272. Which quadratic equation can be used to find x, the smaller number?

x2 + 1 = 272

x2 − 1 = 272

x2 + x − 272 = 0

x2 + x + 272 = 0

Question text not available

Option

Which function has real zeros at x = −10 and x = −6?

f(x) = x2 + 16x + 60

f(x) = x2 − 16x + 60

f(x) = x2 + 4x + 60

f(x) = x2 − 4x + 60

Did you find these answers helpful?

Unit Test — Unit test Answers

More from this Course

TRY EDGENUITY HACKS