The solution to the equation $$4x^2 + 6x + 1 = 0$$ is _____ .

x = [-6 ± √(36 - 16)] / 8 = [-6 ± √20] / 8 = [-6 ± 2√5] / 8 = (-3 ± √5) / 4

x = [-6 ± √(36 - 4)] / 8 = [-6 ± √32] / 8 = [-6 ± 4√2] / 8 = (-3 ± 2√2) / 4

x = [-6 ± √(36 - 8)] / 8 = [-6 ± √28] / 8 = [-6 ± 2√7] / 8 = (-3 ± √7) / 4

x = [-6 ± √(36 - 24)] / 8 = [-6 ± √12] / 8 = [-6 ± 2√3] / 8 = (-3 ± √3) / 4

The solution to $$x^2 + 2x + 2 = 0$$ is _____.

x = [-2 ± √(4 - 8)] / 2 = [-2 ± √(-4)] / 2 = [-2 ± 2i] / 2 = -1 ± i

x = [-2 ± √(4 + 8)] / 2 = [-2 ± √(12)] / 2 = [-2 ± 2√3] / 2 = -1 ± √3

x = [-2 ± √(4 - 4)] / 2 = [-2 ± 0] / 2 = -1

x = [-2 ± √(4)] / 2 = [-2 ± 2] / 2 = 0 or -2

The solution to the equation $$3x^2 - 2x - 7 = 0$$ is _____ .

x = [2 ± √(4 + 84)] / 6 = [2 ± √88] / 6 = [2 ± 2√22] / 6 = (1 ± √22) / 3

x = [2 ± √(4 - 84)] / 6 = [2 ± √(-80)] / 6 = [2 ± 4i√5] / 6 = (1 ± 2i√5) / 3

x = [-2 ± √(4 + 84)] / 6 = [-2 ± √88] / 6 = [-2 ± 2√22] / 6 = (-1 ± √22) / 3

x = [2 ± √(4 + 28)] / 6 = [2 ± √32] / 6 = [2 ± 4√2] / 6 = (1 ± 2√2) / 3

Simplify the Rational Expression using Multiplication or Division: _____ $$\frac{6x^2(x^2 + 4x - 12)}{x^2 + 9x + 18}$$

$$\frac{6x^2(x^2 + 4x - 12)}{x^2 + 9x + 18}$$ (to be simplified by the student)

$$\frac{6x^2(x^2 + 4x - 12)}{x^2 + 6x + 9}$$ (to be simplified by the student)

$$\frac{6x^2(x^2 + 4x - 12)}{(x^2 + 8x + 15)}$$ (to be simplified by the student)

$$\frac{6x^2(x^2 + 4x - 12)}{x^2 + 7x + 10}$$ (to be simplified by the student)

The Rational Expression $$\frac{x^2 + 6x - 7}{3x^2}$$ · $$\frac{x + 7}{6x}$$ can be simplified to _____ using Multiplication or Division.

$$\frac{x^2 + 6x - 7}{3x^2}$$ · $$\frac{x + 7}{6x}$$ (to be simplified by the student)

$$\frac{x^2 + 6x - 7}{6x}$$ · $$\frac{x + 7}{3x^2}$$ (to be simplified by the student)

$$\frac{x^2 + 6x - 7}{3x^2}$$ · $$\frac{x - 7}{6x}$$ (to be simplified by the student)

$$\frac{x^2 + 6x - 7}{6x^2}$$ · $$\frac{x + 7}{3x}$$ (to be simplified by the student)

Simplify the Rational Expression using Addition or Subtraction. (LCD = ?) The simplified expression is _____

$$\frac{5x-1 - 6(x-2)}{(x+4)(x-2)}$$ or further simplified as needed.

$$\frac{5x-1 - 6(x+4)}{(x+4)(x-2)}$$ or further simplified as needed.

$$\frac{5x-1 + 6(x-2)}{(x+4)(x-2)}$$ or further simplified as needed.

$$\frac{5x-1 + 6(x+4)}{(x+4)(x-2)}$$ or further simplified as needed.

Verify that the two functions are inverses of each other using composite functions. Then, verify by graphing. f(x) = x + 7, g(x) = x - 7. Which of the following statements is correct?

f(x) and g(x) are inverses of each other.

f(x) and g(x) are not inverses of each other.

f(x) and g(x) are both increasing functions but not inverses.

f(x) and g(x) are both decreasing functions.

Verify that the two functions are inverses of each other using composite functions. f(x) = $$(1/3)x^2$$ , g(x) = $$\sqrt{3}x$$

No, they are not inverses of each other.

Yes, they are inverses of each other.

Only one composite is the identity function.

Verify that the two functions are inverses of each other using composite functions. f(x) = $$(x^5 + 2)/7$$ , g(x) = $$(7x - 2)^{(1/5)}$$

Yes, they are inverses of each other.

No, they are not inverses of each other.

Final Exam Review- Algebra II

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA-REI.B.4B, HSA.APR.D.7, HSA.REI.A.2

+12

Standards-aligned

Johanna Pinsker

Used 6+ times

FREE Resource

92 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

x=0

x=6

x=-6

x=8

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

x=0

x=7

x=2

x=-2

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

x = 0, x = 7, x = -1

x = 0, x = -7, x = 1

x = 0, x = 6, x = -1

x = 0, x = 1, x = -7

Tags

CCSS.HSF-IF.C.7C

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

x = 1/2, x = -3

x = -1/2, x = 3

x = 3/2, x = -1

x = -3/2, x = 1

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

x = 2, x = -6

x = -2, x = 6

x = 3, x = -4

x = -3, x = 4

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

x = 1/4, x = -1/4

x = 2, x = -2

x = 4, x = -4

x = 1/8, x = -1/8

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

x = 3, x = -2, x = 3

x = 2, x = -3, x = 3

x = -3, x = 2, x = -3

x = 1, x = -2, x = 3

Tags

CCSS.HSF-IF.C.7C

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