One-Step Equations
MISC
Patterns
MISC 2
Word Problems
100

Solve for b:


-7 = b - 3

b = -4


WORK

-7 = b - 3

-7 +3 = b - 3 +3

-4 = b

100

The only letter that doesn’t appear on the periodic table is


the letter "J"

100

Write the Next three instances 

9 · 4 + 9 · 1 = 9 · 5

 9 · 4 + 9 · 2 = 9 · 6

 9 · 4 + 9 · 3 = 9 · 7 

9 · 4 + 9 · 4 = 9 · 8

9 · 4 + 9 · 5 = 9 · 9

9 · 4 + 9 · 6 = 9 · 10

 9 · 4 + 9 · 7 = 9 · 11

100
Solve for b:

3b - 4 = b + 2
b = 3

WORK
3b - 4 = b + 2
3b - 4 + 4 = b + 2 + 4
3b = b + 6
3b - b = b - b + 6
2b = 6
2b/2 = 6/2
b = 3
100

Solve:


Five friends equally split a restaurant bill that comes to $32.50. How much does each friend pay?

Each friend pays $6.50.


WORK

5x = 32.50

5x/5 = 32.50/5

x = 6.5 ~~~> $6.50

200
Solve for x:

x/3 = 2
x = 6

WORK
x/3 = 2
x/3 *3 = 2 *3
x = 6
200

A single strand of Spaghetti is called a

“Spaghetto”

200

complete the next 4vvalues for the provided expressions. n ______   6n - 12 3        –4 + 2n

-14, -10 -4, 0...

200
Solve for x:

5x + 2 = 2x + 14
x = 4

WORK
5x + 2 = 2x + 14
5x + 2 - 2 2x + 14- 2
5x = 2x + 12
5x - 2x = 2x - 2x + 12
3x = 12
3x/3 = 12/3
x = 4
200

Solve:


You work for 4 hours on Saturday and 8 hours on Sunday. You receive a $50 bonus. You earn $164.00 total. How much did you earn per hour?

You earned $9.50 per hour.


WORK

4x + 8x + 50 = 164

12x + 50 = 164

12x + 50 - 50 = 164 - 50

12x = 114

12x/12 = 114/12

x = 9.5 ~~~> $9.50

300
Solve for x:

5x = 20

(When you see it written 5x that means the same thing as 5*x)
x = 4

WORK
5x = 20
5x/5 = 20/5
x = 4
300

The Roman – Persian wars are the longest in history, lasting over how many years??

680 Years

300

Use a graphing calculator to calculate the mean,

These two data sets give the lengths of terms of Presidents of the United States and the reigns of kings and queens of England. Years served by the first 42 American presidents: 8, 4, 8, 8, 8, 4, 8, 4, 0, 4, 4, 1, 3, 4, 4, 4, 4, 8, 4, 1, 3, 4, 4, 4, 5, 7, 4, 8, 2, 6, 4, 12, 8, 8, 3, 5, 6, 2, 4, 8, 4, 8

About 5 years

300

Solve for p:


1.5p = 1.25p + 8

p = 32


WORK

1.5p = 1.25p + 8

1.5p - 1.25p = 1.25p - 1/25p + 8

0.25p/0.25 = 8/0.25

p = 32

300

Solve:


Two buildings have the same total height. One building has 8 floors with height, h. The other building has a ground floor of 16ft and 6 other floors with height, h. Write and solve an equation to find the height, h, of these floors.

8h = 16 + 6h

h = 8


WORK

8h = 16 + 6h

8h - 6h = 16 + 6h - 6h

2h = 16

2h/2 = 16/2

h = 8

400
Solve for m:

(4/5)*m = 28
m = 35

WORK
(4/5)*m = 28
(5/4)*(4/5)*m = 28*(5/4)
m = 35
400

In World War II, Germany was going to try and collapse the British economy by?

dropping millions of counterfeit bills over London.

400

Solve for x:


3.5 - 0.02x = 1.24

x = 113


WORK

3.5 - 0.02x = 1.24

100*(3.5 - 0.02x) = 1.24*100

350 - 2x = 124 [Distributive Property]

350 - 350 - 2x = 124 - 350

-2x/(-2) = -226/(-2)

x = 113

400
Solve for x:

2(5x - 1) = 3(x + 11)
x = 5

WORK
2(5x - 1) = 3(x + 11)
10x - 2 = 3x + 33 [Distribute]
10x - 3x - 2 = 3x - 3x + 33
7x - 2 + 2 = 33 + 2
7x/7 = 35/7
x = 5
400

Suppose you begin the day at an elevation of E feet. After some hiking, you are at an elevation of H feet. 

What is the absolute deviation of where you are now from where you began?

|H - E|



500

Solve for p:


-2.54 = p + 7.17

p = -9.71


WORK

-2.54 = p + 7.17

-2.54- 7.17 = p + 7.17- 7.17

p = -9.71

500

SEvery 248 years this event occurs which last for 20 years.   HINT:: Nine passes pizzas 

Pluto circles inside of Neptune's orbit.

500

Make a table and scatter-plot for the ordered pair 

(n, n2 - n) using the following values of n: −3, −2, 0, 2, and 3

-3,12    -2,6   0,0   2,2  3,6 



500

Solve for x:


9m - 4 = -3m + 5 + 12m

NO SOLUTION

-4 = 5


WORK

9m - 4 = -3m + 5 + 12m

9m - 4 = -3m + 12m + 5

9m -9m - 4 = 9m -9m + 5

-4 = 5 <~~~NO! So, No Solution!

500

Solve


Pristine Printing will print business cards for $0.10 each plus a setup charge of $15. The Printing Place offers business cards for $0.15 each with a setup charge of $10. What number of business cards costs the same from either printer? BONUS: What would the cost be?

Printing 100 cards would cost the same from either business.


WORK

0.10n + 15 = 0.15n + 10

0.10n - 0.10n + 15 = 0.15n - 0.10n +10

15 = 0.05n + 10

15 - 10 = 0.05n + 10 - 10

5 = 0.05n

5/0.05 = 0.05n/0.05

100 = n ~~~>100 cards


BONUS answer: It would cost $25.00 to make 100 cards from either place.


WORK

0.10n + 15 = ??

0.10(100) + 15 = 25 ~~~>$25.00


0.15n + 10 = ??

0.15(100) + 10 = 25 ~~~>$25.00

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