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Worksheets

Quizzizz 121523

Total questions: 61

Worksheet time: 4hrs 56mins

Name
Class
Date
1.
Logarithmic functions are the inverse of...
a)
Linear Functions
b)
Exponential Functions 
c)
Quadratic Functions 
d)
Polynomial Functions 
2.

log(8xyz) \log\left(\frac{8x}{yz}\right)\  

a)

log8+logx-logy-logz

b)

log8+logx-logy+logz

c)

log(8x)-log(yz)

d)

8logx-ylogz

3.
Solve log(x) + log(x+3) = 1
a)
5
b)
-2
c)
-5
d)
2
4.

log2(x+3)=4

a)

16

b)

13

c)

3

d)

10

5.

log8(4x+4)=2

a)

15

b)

12

c)

10

d)

3

6.
log2(2) + log2(8x) = 6
a)
x = 3
b)
x = 2
c)
x = 6
d)
x = 4
7.

Solve:


log6(2x + 3) = 3

a)

x = 106.5

b)

x = 100

c)

x = 16

d)

x = 50

8.
Write as a single log: log 12 + 2 log x
a)
log (12 + 2x)
b)
log (14x)
c)
log (12 * 2x)
d)
log (12x2)
9.

Write the equation in slope-intercept form: 2x + 2y = 6

a)
y = - x + 3
b)
y = x + 3
c)
y = 2x +6
d)
y = - 2x + 6
10.

What is the equation of a line in slope-intercept form with m = -2 and contains the point (4, -2)?

a)

y = -2x-6

b)

y = 6x - 2

c)

y = -2x+6

d)

y = 2x+6

11.

What is the equation of a line, in slope-intercept form, with m = 0 and containing the point (-2,3)?

a)

x = -2

b)

y = -3

c)

y = 3

d)

x = 3

12.

What is the equation of a line, in slope-intercept form, containing the points (-5, 8) and (-10, 6)?

a)

y = ⅖x+10

b)

y = 2½x-10

c)

y = -⅖x-10

d)

y = ⅖x-10

13.

Simplify:

224+5542\sqrt{24}+5\sqrt{54}  

a)

7787\sqrt{78}  

b)

19619\sqrt{6}  

c)

767\sqrt{6}  

14.

Multiply:

38×4103\sqrt{8}\times4\sqrt{10}  

a)

128012\sqrt{80}  

b)

7807\sqrt{80}  

c)

242024\sqrt{20}  

d)

48548\sqrt{5}  

15.

What are the x-intercepts of

f(x)=4x2x7f\left(x\right)=4x^2-x-7  ?

a)

x=1±1132x=\frac{1\pm\sqrt{113}}{2}  

b)

x=1±1118x=\frac{1\pm\sqrt{111}}{8}  

c)

x=1±1138x=\frac{1\pm\sqrt{113}}{8}  

d)

x=4±1112x=\frac{4\pm\sqrt{111}}{2}  

16.

What are the zeros of

f(x)=2x2+3x+1f\left(x\right)=-2x^2+3x+1  ?

a)

x=3±174x=\frac{3\pm\sqrt{17}}{4}  

b)

x=3±184x=\frac{-3\pm\sqrt{18}}{4}  

c)

x=3±174x=\frac{3\pm\sqrt{17}}{-4}  

d)

x=3±182x=\frac{3\pm\sqrt{18}}{2}  

17.

What are the zeros of

f(x)=x2+7x18f\left(x\right)=x^2+7x-18  ?

a)

x=2, 9x=-2,\ -9  

b)

x=2, 9x=2,\ -9  

c)

x=2, 9x=-2,\ 9  

d)

x=2, 9x=2,\ 9  

18.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

y=12x+12y=-\frac{1}{2}x+\frac{1}{2}

b)

y=12x+2y=\frac{1}{2}x+2

c)

y=2x+7y=-2x+7

d)

y=2x+8y=-2x+8

19.

Write the equation of a line PERPENDICULAR to y=13x9y=\frac{1}{3}x-9  that passes through the point (-6, 10).

a)

y=13x9y=\frac{1}{3}x-9

b)

y=13x+10y=\frac{1}{3}x+10

c)

y=3x+6y=-3x+6

d)

y=3x8y=-3x-8

20.
What slope is parallel to:  
m = 4
a)
4
b)
-1/4
c)
-4
d)
1/4
21.

(2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x +6y + 6z

b)

4x + y + 6z

c)

-4x - y + 6z

d)

-4x + y + 6z

22.
Which of the following are written in standard form?
a)
y=3x-5
b)
3x+16=5y
c)
2/3 x + 9/13 y = 21
d)
5x+7y=-12
23.
Give the y-interecept
3x + y = 5
a)
(-3, 0)
b)
(0,5)
c)
(5, 0)
d)
(0, -3)
24.

A linear equation written in the form is in _________

yy1=m(xx1)y-y_1=m\left(x-x_1\right)  

a)

point-slope form 

b)

slope-intercept form

c)

standard form

d)

y-intercept 

e)

x-intercept 

25.

A linear equation written in the form is in _________

y=mx+by=mx+b  

a)

point-slope form 

b)

slope-intercept form

c)

standard form

d)

y-intercept 

e)

x-intercept 

26.

What is the following equation written in standard form? y=16x3y=16x-3  

a)

16x-y=3

b)

-16x+y=3

c)

16x+y=3

d)

6x-12y=-5

27.

Convert to slope-intercept form (y=mx+b)

3x + y = 12

a)

y = -3x +12

b)

x = y + 4

c)

x = y + 12

d)

y = 3x -12

28.

Which equation is written in STANDARD form?

a)

y = 1/2x + 2

b)

y - 3 = -5(x + 2)

c)

7x + 2y = 9

d)

3x + 2 = y

29.

What is the standard form of the line y=23x+5y=\frac{2}{3}x+5  

a)

15x+3y=-2

b)

x+5y=4

c)

2x-3y=-15

d)

5x+y=4

30.
Write in standard form.
2x - 8 = -3y + 2
a)
2x + 3y = 10
b)
2x - 3y = 10
c)
2x + 3y = -6
d)
2x - 3y = -6
31.

What is the standard form of the line that has a slope of 52\frac{5}{2}   and a y-intercept of 5?

a)

5x-2y=-10

b)

5x+2y=10

c)

x+5y=10

d)

10x-2y=-3

32.

What is the following equation written in standard form? y=16x3y=16x-3  

a)

16x-y=3

b)

-16x+y=3

c)

16x+y=3

d)

6x-12y=-5

33.

y=5x+5y=-5x+5  Write the equation in standard form.

a)

20x+5y=1

b)

x-5y=5

c)

5x+y=5

d)

x+5y=5

34.

What is the following equation written in standard form? y=25x+4y=\frac{2}{5}x+4  

a)

2x+5y=20

b)

2x+5y=25

c)

2x+5y=-20

d)

2x-5y=-20

35.

What is the equation in standard form?

a)

A

b)

B

c)

C

d)

D

36.

What is the equation in standard form?

a)

A

b)

B

c)

C

d)

D

37.

What is the equation of this line in standard form?

a)

A

b)

B

c)

C

d)

D

38.
What is the standard form of a linear equation?
a)
y = mx + b
b)
Ax + By = C
39.

Write the equation in Standard FORM

y=9x+23y=9x+\frac{2}{3}  



(a)  

40.
Which equation is written in STANDARD form?
a)
y = 1/2x + 2
b)
y - 3 = -5(x + 2)
c)
-7x + 2y = 9
d)
3x + 2 = y
41.

What is standard form of a line?

a)

y = mx + b

b)

Ax + By = C

c)

y - y1 = m(x - x1)

d)

y = Ax + By

42.
Put this into standard form:
y = 3x + 2
a)
y + 3x = 2
b)

3x - y = -2

c)
-3x + y = 2
d)
3x - 2y = 2
43.

y=5x+5y=-5x+5  Write the equation in standard form.

a)

20x+5y=1

b)

x-5y=5

c)

5x+y=5

d)

x+5y=5

44.

What is the following equation written in standard form? y=25x+4y=\frac{2}{5}x+4  

a)

2x+5y=20

b)

2x+5y=25

c)

2x+5y=-20

d)

2x-5y=-20

45.

Find the vertex of the quadratic function: y = 4x2 + 24x + 5

a)

(−3, −31)

b)

(3, 113)

c)

(−3, −76)

d)

(3, 5)

46.
Find the Vertex:
f(x) = x2 + 10x + 21
a)
(-5,-4)
b)
(1,10)
c)
(10,21)
d)
No Real Solution
47.

Use the equation x = -b/2a  to get the x-value of the vertex in the equation:

y=2x24x+10y=2x^2-4x+10  

a)

2

b)

-2

c)

1

d)

-1

48.

What is the vertex of this parabola?

a)

(0, 5)

b)

(2, 1)

c)

(-1, 2)

d)

(-2, 1)

49.
If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
50.

Identify the vertex.

a)

(5, 2)

b)

(5, -2)

c)

(-5, 2)

d)

(-5, -2)

51.

Find the vertex:

g(x)=2(x4)2+8g\left(x\right)=2\left(x-4\right)^2+8  

a)

( 4 , 8 ) 

b)

( -4 , -8 ) 

c)

( 4 , -8 )

d)

( -4 , 8 )

52.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
53.

Evaluate log77Evaluate\ \log_77  



(a)  

54.

Evaluate log101000Evaluate\ \log_{10}1000  



(a)  

55.

Evaluate log61Evaluate\ \log_61  



(a)  

56.

Evaluate log818Evaluate\ \log_8\frac{1}{8}  



(a)  

57.

Evaluate log55Evaluate\ \log_5\sqrt{5}  



(a)  

58.
Change to Exponential Form:
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
59.
Evaluate log41
a)
1
b)
0
c)
4
d)
undefined
60.
Solve for x.
ex+6 + 5 = 1
a)
-4.614
b)
-4.236
c)
No Solution
d)
-0.334
61.
log(x+6) = 1
a)
4
b)
4.222
c)
-5
d)
-9.550