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Algebra Essentials: General Knowledge (easy)

Total questions: 68

Worksheet time: 1hrs 7mins

Name
Class
Date
1.

Which of the following images ARE functions?

SELECT ALL THAT APPLY

a)
b)
c)
2.

Solve the equation:
-5x = 25

(a)  

3.

Solve the equation:
x - 3 = -12

(a)  

4.

Is the relation a function? Why?

a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
5.

What does this symbol mean?

<<  

a)

Less than

b)

Greater than

c)

Less than or equal to

d)

Greater than or equal to

6.

What does this symbol mean?

\ge  

a)

Less than

b)

Greater than

c)

Less than or equal to

d)

Greater than or equal to

7.

What does this symbol mean?

>>  

a)

Less than

b)

Greater than

c)

Less than or equal to

d)

Greater than or equal to

8.

What does this symbol mean?

\le  

a)

Less than

b)

Greater than

c)

Less than or equal to

d)

Greater than or equal to

9.

Click ALL the numbers that y could be:

y7y\le7  

a)

7

b)

0

c)

11

d)

5

e)

16

10.

Click ALL the numbers that k could be:

k15k\ge15  

a)

15

b)

0

c)

28

d)

7

e)

-15

11.

Click ALL the numbers that m could be:

m>6m>6  

a)

6

b)

3

c)

0

d)

12

e)

8

12.

What is the formula for an exponential function?

a)

ax + by = c

b)

y = mx + b

c)
d)
13.

What is the Slope Intercept Formula

a)

ax + by = c

b)

y = mx + b

c)
d)
14.

What is the formula for Exponential Decay?

a)
b)
c)
d)
15.

Which of the following is the slope formula? 

a)

y=ax2+bx+cy=ax^2+bx+c

b)

y = mx + b

c)

x=b±b24ac2ax=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

d)

y=a(xh)2+ky=a\left(x-h\right)^2+k

e)

y2y1x2x1\frac{y_2-y_1}{x_2-x_1}  

16.

What is the formula for Exponential Growth?

a)
b)
c)
d)
17.

Which of the following is the standard form of a quadratic? 

a)

y=ax2+bx+cy=ax^2+bx+c

b)

y = mx + b

c)

x=b±b24ac2ax=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

d)

y=a(xh)2+ky=a\left(x-h\right)^2+k

e)

y2y1x2x1\frac{y_2-y_1}{x_2-x_1}  

18.

How many terms are in the expression below?

3x2 + 2xy - 4y - 3

(a)  

19.

Which of the following is the vertex form of a quadratic? 

a)

y=ax2+bx+cy=ax^2+bx+c

b)

y = mx + b

c)

x=b±b24ac2ax=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

d)

y=a(xh)2+ky=a\left(x-h\right)^2+k

e)

y2y1x2x1\frac{y_2-y_1}{x_2-x_1}  

20.

The formula below is called what? x=b±b24ac2ax=\frac{-b\pm\sqrt{b^2-4ac}}{2a}  

a)

Slope Formula

b)

Quadratic Formula

c)

Vertex Form

d)

Slope-Intercept Form

e)

Exponential Form

21.

k(x)=18x310k\left(x\right)=-18\sqrt{x^3}-10  
Which of the following is the value of the coefficient?

a)

-18

b)

3

c)

x

d)

-10

22.

k(x)=18x310k\left(x\right)=-18\sqrt{x^3}-10  
Which of the following is the value of the constant?

a)

-18

b)

3

c)

x

d)

-10

23.

k(x)=5x2318k\left(x\right)=-5x^{\frac{2}{3}}-18   Which of the following is the rational exponent?

a)

-18

b)

x

c)

23\frac{2}{3}  

d)

-5

24.

Anything multiplied by 1 is...

a)

Itself

b)

Zero

c)

One

d)

It's opposite

e)

-1

25.

Anything multiplied by 0 is...

a)

Itself

b)

Zero

c)

One

d)

It's opposite

e)

-1

26.

Anything plus 0 is...

a)

Itself

b)

Zero

c)

One

d)

It's opposite

e)

-1

27.

Anything divided by 0 is...

a)

Itself

b)

Zero

c)

One

d)

It's opposite

e)

undefined

28.

Anything times -1 is...

a)

Itself

b)

Zero

c)

One

d)

It's opposite

e)

-1

29.

Anything divided by 1 is...

a)

Itself

b)

Zero

c)

One

d)

It's opposite

e)

-1

30.

Anything to the power of 1 is...

a)

Itself

b)

Zero

c)

One

d)

It's opposite

e)

-1

31.

Anything to the power of 0 is...

a)

Itself

b)

Zero

c)

One

d)

It's opposite

e)

-1

32.
Convert to a decimal
           3/4
a)
.25
b)
.34
c)
.75
d)
3.4
33.
Convert to a decimal
 
                   1/2
a)
.5
b)
.25
c)
.45
d)
.12
34.
Express 0.50 as a percent
a)
5%
b)
0.50%
c)
50%
d)
0.05%
35.
Write 5% as a decimal.
a)
5
b)
0.5
c)
0.05
d)
0.005
36.
Convert 2.75 to a percent.
a)
275%
b)
2.75%
c)
27.5%
d)
.275%
37.
What is 42% expressed as a decimal?
a)
0.42
b)
4.2
c)
42
d)
0.042
38.
Name the decimal equivalent to 1/4?
a)
0.10
b)
0.40
c)
0.2
d)
0.25
39.

7 x 5 =

a)

40

b)

35

c)

25

d)

50

40.
What is the opposite of 10? 
a)
10
b)
-10
c)
0
d)
20
41.

7x3

a)

24

b)

23

c)

22

d)

21

42.

6x3

a)

24

b)

21

c)

18

d)

19

43.

10x11

a)

220

b)

110

c)

111

d)

100

44.

5+13

a)

17

b)

18

c)

19

d)

12

45.

17-9

a)

5

b)

6

c)

7

d)

8

46.

13 - 5 =

a)

18

b)

8

c)

9

d)

10

47.
16 - 10
a)
6
b)
26
c)
16
d)
36
48.
8 + (-9)
a)
positive
b)
negative
49.
-4 + -7
a)
positive
b)
negative
50.
12 + (-3)
a)
positive
b)
negative
51.
-5(-3)
a)
positive
b)
negative
52.
-4 x 6
a)
positive
b)
negative
53.
81 ÷ (-3)
a)
positive
b)
negative
54.
-100 ÷ -10
a)
positive
b)
negative
55.
9 x (-4)
a)
positive
b)
negative
56.
3 - (-5) 
a)
positive
b)
negative
57.
y + y + y =
a)
3y
b)
3 + y
c)
y + 3
d)
y/3
58.

If b=10b=10 , find  40b\frac{40}{b}  .

a)

10

b)

2

c)

30

d)

4

59.
4y - 2y =
a)
2y
b)
6y
c)
y + 2
d)
y - 2
60.
12 - 4 x 2 = 
a)
16
b)
4
c)
8
d)
18
61.
2 x 9 ÷ 3 =
a)
5
b)
7
c)
8
d)
6
62.

81\sqrt[]{81}  

(a)  

63.

49\sqrt[]{49}  

(a)  

64.

The y-intercept (0, y) always has a (a)   for it's x-coordinate.

65.

The x-intercept (x, 0) always has a (a)   for it's y-coordinate.

66.

What is the solution to this system?

Type your answer as a coordinate with ( ) and a comma...for example (3, 5) would be a valid answer.

(a)  

67.
How many solutions will this system have? 
a)
No solution
b)
One Solution
c)

Two Solutions

d)
Infinitely Many Solutions
68.

How many solutions are pictured?

a)

No Solution

b)

Infinite Solution

c)

One Solution

d)

Two Solutions