Quiz about Spring Final 2025

Question 1

Evaluate 18 ^x= 1

Accepted Answer

0

Answer

18

Answer

1

Answer

2

Question 2

Evaluate 2 ^x =1/16

Accepted Answer

-4

Answer

1/4

Answer

4

Answer

1/8

Question 3

Evaluate.
log₃81

Accepted Answer

4

Answer

1/4

Answer

-4

Answer

-1/4

Question 4

Write in exponential form.
log₂32 = 5

Accepted Answer

25 = 32

Answer

2-5 = 32

Answer

232 = 5

Answer

325 = 2

Question 5

$$\log_88$$

Accepted Answer

1

Answer

0

Answer

64

Answer

16

Question 6

log 3 27

Accepted Answer

3

Answer

4

Answer

2

Answer

5

Question 7

Expand the following logarithm:
log₂ 5x.

Accepted Answer

log₂ 5 + log₂ x

Answer

log₂ 5 - log₂ x

Answer

2log 5 + 2log x

Answer

log5 2 + log_x 2

Question 8

Use the properties of logs to write the expression as a single log.

$$\log\left(5x\right)+\log\left(4\right)$$

Accepted Answer

$$\log\left(20x\right)$$

Answer

$$\log\left(9x\right)$$

Answer

$$\log\left(x\right)$$

Answer

$$\log\left(5x+4\right)$$

Question 9

Solve for x using logs: 6^3x - 3 = 56

Accepted Answer

0.7586

Answer

2.2757

Answer

1.3592

Answer

0.5903

Question 10

Solve for x.

$$3^{\left(n-7\right)}-3=24$$

Accepted Answer

10

Answer

3

Answer

8

Answer

No solution

Question 11

Select the statement that correctly describes the solution to this system of equations.

3x - 2y = 5

6x + y = 13

Accepted Answer

There is exactly one solution at (3,2).

Answer

There is no solution.

Answer

There are infinitely many solutions.

Answer

There is exactly one solution at (2,3).

Question 12

How many real solutions does the following equation have? $2x+8=2\left(x+4\right)$

Accepted Answer

infinitely many solutions

Answer

no real solution

Answer

two real solutions

Answer

one real solution

Question 13

Question 13.

Accepted Answer

8x4

Answer

8x8

Answer

6x4

Answer

6x8

Question 14

Simplify each expression.
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

Accepted Answer

11x⁴ + 2x² + 14x

Answer

16x⁴ + x² + 14x

Answer

11x⁴ + x² + 14x

Answer

11x⁴ + 2x² + 10x

Question 15

Which equation represents the following graph?

Accepted Answer

y = 2x + 3

Answer

y = 3x + 2

Answer

y = -2x + 3

Answer

y = -3x + 2

Question 16

Which statement is true about

f(x) = (x + 4)(x - 1) .

Accepted Answer

f(x) = x² + 3x - 4, and the y-intercept is at (0,-4).

Answer

f(x) = x² + 3x - 4 and has a ROOT at (1,0).

Answer

f(x) = x² + 3x - 4 and has a ZERO at (0,4).

Answer

f(x) = x² + 3x - 4 and the x-intercept is at (0,-4).

Question 17

If the measure of angle a is 26.6 degrees. What is the measure of angle b?

Accepted Answer

The measure of angle b is 26.6 degrees.

Answer

The measure of angle b is 153.4 degrees.

Answer

The measure of angle b is 63.4 degrees.

Answer

The measure of angle b is 90 degrees.

Question 18

Consider the given triangle. What is the ratio for tan(C)?

Accepted Answer

$$\frac{3}{4}$$

Answer

$$6^2+8^2=100$$

Answer

$$\frac{8}{6}$$

Answer

$$\frac{4}{3}$$

Question 19

Solve for k.

$$a\ =\ k\left(m-n\right)$$

Accepted Answer

$$\frac{a}{m-n}$$

Answer

am - an

Answer

$$\frac{a+n}{m}$$

Answer

$$\frac{a}{m+n}$$

Question 20

Which of the following system of inequalities created matches the given graph?

Accepted Answer

$$y\le2x\ -\ 2$$

$$y\ge\frac{1}{2}x+1$$

Answer

$$y\ge2x-2$$

$$y\le\frac{1}{2}x+1$$

Answer

None of these

Answer

$$y>2x-2$$

$$y<\frac{1}{2}x+1$$

Question 21

log₉(x)+log₉(x+2)=log₉(35)

Accepted Answer

5

Answer

-7

Answer

5, -7

Answer

-7, -13

Question 22

log₂(x + 2) + log₂x = 3

Accepted Answer

2

Answer

-4, 2

Answer

-2, 4

Answer

1

Question 23

What is the center and radius of a circle with an equation (x+5)² + (y-1)² = 64

Accepted Answer

Center is (-5, 1) and radius is 8

Answer

Center is (5,1) and radius is 8

Answer

Center is (-1, 5) and radius is 8

Answer

Center is (-5,-1) and radius is 8

Question 24

What is the equation of the circle?

Accepted Answer

(x+1)² + (y +1)² = 9

Answer

(x+1)² + (y +1)² = 3

Answer

(x+1)² + (y -1)² = 3

Answer

(x-1)² + (y -1)² = 9

Question 25

Find the distance between J and K.

Accepted Answer

8.2

Answer

7.7

Answer

9

Answer

10.2

Question 26

Find the distance between (-3, -11) and (8, -42).

Accepted Answer

32.9

Answer

32.1

Answer

32.3

Answer

32.7

Question 27

A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area?

Accepted Answer

28.26 m2

Answer

31.25 m2

Answer

29.55 m2

Answer

30.36 m2

Question 28

Solve for x.

Accepted Answer

20

Answer

5

Answer

40

Answer

85

Question 29

Question 29.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 30

Question 30.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 31

Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3

Accepted Answer

x2+y2=9

Answer

x2+y2=3

Answer

x2+y2=6

Question 32

Which graph corresponds to

(x+2)²+ (y-3)²=36

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 33

Which graph corresponds to

(x-4)²+ (y+4)²=25

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 34

Solve using Long Division.

$$27x^3+9x^2-3x-10\ \div3x-2$$

Accepted Answer

$$9x^2+9x+5$$

Answer

$$9x^4+5$$

Answer

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

Answer

$$9x^2-9x$$

Question 35

$$\frac{2x^3-5x^2-4x-25}{x-4}$$

Use synethic division

Accepted Answer

$$2x^2+3x+8+\frac{7}{x-4}$$

Answer

$$2x^2+3x+8-\frac{57}{x-4}$$

Answer

$$2x^2-13-56$$

Answer

$$2x2-3x-16-\frac{89}{x-4}$$

Question 36

Is $$(x-2)$$ a factor of $$f(x)=x^3-8x^2+14x-4?$$

Accepted Answer

Yes, (x-2) is a factor. The remainder is zero.

Answer

Yes, (x-2) is a factor. There is a remainder.

Answer

No, (x-2) is not a factor. The remainder is zero.

Answer

No, (x-2) is not a factor. There is a remainder.

Question 37

What should be the order of the polynomial coefficients if

$$\frac{3x-4x^3+6x^4+1}{x+3}$$

Accepted Answer

6 -4 0 3 1

Answer

3 0 -4 6 1

Answer

6 -4 3 1 0

Answer

-6 4 0 -3 -1

Question 38

What is the proper way to write the answer for the following problem?

Accepted Answer

$$2x^3-x^2-25x-12$$

Answer

$$2x^3-x^2-25x+12$$

Answer

$$2x^4-x^3-25x^2-12x+0$$

Answer

$$2x^4-x^3-25x^2-12x-0$$

Question 39

$$x^3-3x^2-10x+24÷x+3$$

Accepted Answer

x2-6x+8

Answer

x2-7x+5

Answer

x-8

Answer

x+9

Question 40

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

Accepted Answer

Cam did not use a zero place holder for the x³ term.

Answer

Cam wrote the remainder incorrectly.

Answer

Cam added instead of subtracting the rows.

Answer

Cam should have used -2 as his division since the factor was x-2.

Question 41

Divide and simplify.

Accepted Answer

$$2x$$

Answer

$$4x$$

Answer

$$4x^3$$

Answer

4x2

Question 42

Simplify: $$\left(x^{\frac{1}{2}}\right)^{\frac{3}{5}}$$

Accepted Answer

$$\sqrt[10]{x^3}$$

Answer

$$\sqrt[3]{x^{10}}$$

Answer

$$\sqrt[5]{x^3}$$

Answer

$$\sqrt[5]{x^6}$$

Question 43

Simplify: $$\frac{\sqrt[3]{48}}{\sqrt[3]{6}}$$

Accepted Answer

2

Answer

8

Answer

$$8^{\frac{2}{3}}$$

Answer

16

Question 44

(-8x¹⁰y⁹)²

Accepted Answer

64x²⁰y¹⁸

Answer

-16x²⁰y¹⁸

Answer

64x¹²y¹¹

Answer

-16x¹²y¹¹

Question 45

Simplify:

$$9x^6y^2\cdot5x^2y^3$$

Accepted Answer

$$45x^8y^5$$

Answer

$$14x^8y^5$$

Answer

$$14x^{12}y^6$$

Answer

$$45x^{12}y^6$$

Question 46

Simplify the expression

Accepted Answer

x5

Answer

1/x5

Answer

x13

Answer

1/x13

Spring Final 2025

60 questions

Evaluate 18 ^x= 1

Evaluate 2 ^x =1/16

Evaluate.
log₃81

Write in exponential form.
log₂32 = 5

Convert to logarithmic form.

$5^3=125$

$\log_3\left(2x+1\right)=2$
Convert to exponential form. Then solve for x.

log ₃ 27

Expand the following logarithm:
log₂ 5x.

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Spring Final 2025

60 questions

Evaluate 18 x = 1

Evaluate 2 x =1/16

Evaluate.log381

Write in exponential form.log232 = 5

Convert to logarithmic form. 53=1255^3=12553=125

log⁡3(2x+1)=2\log_3\left(2x+1\right)=2log3​(2x+1)=2 Convert to exponential form. Then solve for x.

log 3 27

Expand the following logarithm: log2 5x.

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Evaluate 18 ^x= 1

Evaluate 2 ^x =1/16

Evaluate.
log₃81

Write in exponential form.
log₂32 = 5

Convert to logarithmic form.

$5^3=125$

$\log_3\left(2x+1\right)=2$
Convert to exponential form. Then solve for x.

log ₃ 27

Expand the following logarithm:
log₂ 5x.