Answers TX-Algebra II A-CRMixed Degree Systems

Mixed Degree Systems — Unit test Answers

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Use the zero product property to find the solutions to the equation x2 + x – 30 = 12.

x = –7 or x = 6

x = –7 or x = –6

x = –6 or x = 7

x = 6 or x = 7

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Becca graphs the equations y = –3(x – 1) and y = x – 5 to solve the equation –3(x – 1) = x – 5. Her graph is shown below.What are the solution(s) of –3(x – 1) = x – 5?

–5 and 3

–3

1 and 5

The height of a stuntperson jumping off a building that is 20 m high is modeled by the equation h = 20 – 5t2, where t is the time in seconds. A high-speed camera is ready to film the person between 15 m and 10 m above the ground. For which interval of time should the camera film the person?

Option

✓ Correct

Option

t < 2

If x2 + mx + m is a perfect-square trinomial, which equation must be true?

x2 + mx + m = (x – 1)2

x2 + mx + m = (x + 1)2

x2 + mx + m = (x + 2)2

x2 + mx + m = (x + 4)2

The area of a triangle is 1,440 cm2. The base of the triangle is 5 times the height. What is the height of the triangle?

12 cm

24 cm

46 cm

60 cm

What is one of the solutions to the following system?

(–5, 2)

(–2, 1)

(2, 5) ✓ Correct

(8, 5)

Which statement about the following equation is true?3x2 – 8x + 5 = 5x2

The discriminant is less than 0, so there are two real roots.

The discriminant is greater than 0, so there are two real roots.

The discriminant is less than 0, so there are two complex roots.

The discriminant is greater than 0, so there are two complex roots.

Solve for in the equation .

x = negative 4 plus-or-minus StartRoot 37 EndRoot i

x = –4 ± 5i

x = 4 plus-or-minus StartRoot 37 EndRoot i

x = 4 ± 5i

Which function is a quadratic function?

a(x) = –2x3 + 2x – 6

b(x) = 5x3 + 8x2 + 3

c(x) = –8x2 + 3x – 5

d(x) = 6x4 + 2x – 3

What is the solution set of the quadratic inequality

Option

✓ Correct

Which values of x and y would make the following expression represent a real number?(4 + 5i)(x + yi)

x = 4, y = 5

x = –4, y = 0

x = 4, y = –5

x = 0, y = 5

Which system is equivalent to ?

Option

✓ Correct

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–1 + i) + (21 + 5i)?

(–1 + i) + (21 + 5i) + 0

–1 + (i + 21) + 5i

(–1 + 21) + (i + 5i)

–(1 – i) + (21 + 5i)

Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He sets the expressions equal to y and graphs the equations. What is the greatest possible number of intersections for these graphs?

none

one

two ✓ Correct

infinitely many

Which equation is the inverse of y = 9x2 – 4?

y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 9 EndFraction

y = plus-or-minus StartRoot StartFraction x Over 9 EndFraction + 4 EndRoot

y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 3 EndFraction

y = StartFraction plus-or-minus StartRoot x EndRoot Over 3 EndFraction + two-thirds

In which quadrant is the number 6 – 8i located on the complex plane?

III

Using the quadratic formula to solve 4x2 – 3x + 9 = 2x + 1, what are the values of x?

StartRoot 1 plus-or-minus StartRoot 159 EndRoot i Over 8 EndFraction

StartRoot 5 plus-or-minus StartRoot 153 EndRoot i Over 8 EndFraction

StartRoot 5 plus-or-minus StartRoot 103 EndRoot i Over 8 EndFraction

StartRoot 1 plus-or-minus StartRoot 153 EndRoot Over 8 EndFraction

A soccer ball is kicked upward from a hill and then falls to the ground. The height, in feet, of the ball after t sec is modeled by the function h(t) = –16t2 + 26t +12. What is the initial height of the ball?

–16 ft

–12 ft

12 ft

22 ft

What is the domain of the function ?