Quiz about Final Exam Algebra 2 Review Honors #1 2025

Question 1

By driving 10 miles per hour faster, Goldie was able to shave 2 hours and 30 minutes off her 50-mile trip to visit her grandmother who lives in the mountains. Select the equation that could be used to solve this problem. Use x to represent her faster driving rate.

Accepted Answer

50/(x-10) - 50/x = 5/2

Answer

50/x - 50/(x+10) = 5/2

Answer

50/(x+10) - 50/x = 5/2

Answer

50/x - 50/(x-10) = 5/2

Question 2

Solve: (5x-1)/(4x-2) = (5x+6)/(4x+2)

Accepted Answer

5/4

Answer

-2

Answer

-7/10

Answer

6/5

Question 3

Divide: (x-1) | $$2x^4 - x^3 - 6x^2 + 9x + 1$$

Accepted Answer

$$2x^3 + x^2 - 5x + 4 + \frac{5}{x-1}$$

Answer

$$2x^3 - x^2 - 6x + 9 + \frac{1}{x-1}$$

Answer

$$2x^3 + x^2 - 5x + 9$$

Answer

$$2x^3 - x^2 - 6x + 10$$

Question 4

Solve the equation $$x^2 + 8 = 4x$$ over the set of complex numbers.

Accepted Answer

2 + 2i and 2 - 2i

Answer

1 + 2i and 1 - 2i

Answer

2 + i and 2 - i

Answer

(2 + i)/2 and (2 - i)/2

Question 5

Simplify: $$(x^2 - 4x + 3)/(x^2 - 9) * (9 - x^2)/(x^2 + 6x + 9)$$

Accepted Answer

(x-1)/(3-x)

Answer

$$(x+3)^2/(x-3)^2$$

Answer

-1

Answer

1

Question 6

Simplify: (7m - 2)/m - (5m + 9)/m

Accepted Answer

(2m - 11)/m

Answer

(2m + 11)/m

Answer

2m - 11

Answer

-9

Question 7

Simplify: $$(x^2 - x - 6)/(x^2 - 5x + 6)$$

Accepted Answer

(x + 2)/(x - 2)

Answer

-1

Answer

(x + 3)/(x + 2)

Answer

(x - 2)/(x + 2)

Question 8

Write the division statement for $$\frac{2x^3 - 5x^2 - 10x - 6}{x - 4}$$ .

Accepted Answer

$$(x - 4)(2x^2 + 3x + 2)$$ + 2

Answer

$$(x + 4)(2x^2 - 13x + 42) - 174$$

Answer

$$(x + 4)(2x^2 + 3x + 2) - 2$$

Answer

$$(x + 4)(2x^2 + 13x - 42) + 174$$

Question 9

Solve for x: $$\frac{2}{x - 2}$$ + $$\frac{5}{x^2 - 4x + 4}$$ = 3

Accepted Answer

{11/3, 1}

Answer

{11, -1}

Answer

{4/3, 1}

Answer

{8/3, 1}

Question 10

Jackie travels 60 km to work. Since she began taking a new route (still 60 km to work) she gets there 30 minutes sooner because she can drive 10 km/hour faster. Which of the following equations could you use to solve the problem?

Accepted Answer

60/x - 60/(x + 10) = 1/2

Answer

60/x - 60/(x + 10) = 30

Answer

60/(x + 10) - 60/x = 30

Answer

60/(x + 10) - 60/x = 1/2

Question 11

Simplify: $$(24b^3 - 8b^2) / -8b^2$$

Accepted Answer

-3b + 1

Answer

-3b - 1

Answer

$$-3b^2 + 1$$

Answer

$$-24b^2 + 1$$

Question 12

Solve: 7/(5x-5) = 3/((x+1)(x-1))

SKIP THIS ONE -- The Answer is The original equation is not defined at x=1

Accepted Answer

The original equation is not defined at x = 1

Answer

The original equation is defined at x = 8/7 and x = 1

Answer

The original equation is not defined at x = 8/7

Answer

The original equation is defined at x = 1

Question 13

Simplify: $$a^3(4a-3a^2)$$

Accepted Answer

$$4a^4 - 3a^5$$

Answer

$$4a - 3a^6$$

Answer

$$4a^3 - 3a^6$$

Answer

$$4a^4 - 3a^6$$

Question 14

Simplify: $$(x^3 + 6x - 4) - (2x^2 + 5x - 2)$$

Accepted Answer

$$x^3 - 2x^2 + x - 2$$

Answer

$$-x^3 + 11x - 6$$

Answer

$$-x^3 - 2x^2 + x - 2$$

Answer

$$x^3 - 2x^2 + 11x - 6$$

Question 15

Solve: 6/(x-2) - 3/x = 1

Accepted Answer

-1, 6

Answer

-6, 1

Answer

-1, 5

Answer

-3, 2

Question 16

Which expression is equivalent to $$\sqrt[4]{x^8}$$ ?

Accepted Answer

$$x^2$$

Answer

$$x^4$$

Question 17

Find the value of $$27^{(4/3)}$$ .

Accepted Answer

81

Answer

64

Answer

243

Answer

9

Question 18

Simplify: $$\sqrt[3]{8x^6}$$

Accepted Answer

$$2x^2$$

Answer

$$2x^3$$

Answer

$$5x^2$$

Answer

$$5x^3$$

Final Exam Algebra 2 Review Honors #1 2025

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