Order of Operations
Adding and Subtracting
Fractions and Decimals
Properties of Real Numbers
Math Grab Bag
100

What does P.E.M.D.A.S. stand for? What is it used for? 

P: 

E:

M.D.:

A.S:

P: Parenthesis ( ) 

E: Exponents 23

M.D.: Multiply and Divide x, /


A.S.: Addition and Subtraction +, - 

It is used as rules to solve Algebra Problems

100

 -9 + 2

-7

100

Convert this fraction to a decimal:   3/5

0.6

100

What is the answer to the following equation and why? 


      5,000,000,000 x  0 = 

0 b/c any number times 0 is zero. 

100

Selina has $165 in her checking account. She writes a check for $207. What is the new balance (value) in her checking account? 

$-42. Selina is in debt..... don't be like Selina, don't get in debt. 

200

Where do you start with this problem:

3 x {[2(9 -2) + 2] - 4[6/3 + 5]}

Say what is the first operation you would do and why? 

3 x {[2(9 -2) + 2] - 4[6/3 + 5]}

Start with (9 - 2) because it is the inner most parenthesis. 

200

-7 - 9 + 3 

-13

200

Simplify:      2/3 + 3/4

17/12 or 1 5/12

200
Can you simplify the following expression: 

             6 / 0 


Why or why not? 

It is undefined and cannot be simplified b/c you cannot divide things into zero groups. 

200

What is the LCM of 24 and 50?

    24(3 x 2 x 2 x 2)

    50(             x 2 x 5 x 5)

LCM =3 x 2 x 2 x 2 x 5 x 5 = 600

300

(2 × 23) / (23 )

2

300

-9 - (-9) + 9 - 9 

0

300

Convert this percent into a decimal 


         875%

8.75

300

What property of numbers is being used here:


2x = 4  --> (2/2)x = (4/2)  --> x = 2

 

Multiplicative inverse or inverse operation. 

To remove the 2 from x you must divide by 2 on both sides of the equation, to find the value of x. 

300

Kirsten has 3/4 meters of ribbon that she wants to cut into 6 equal parts to make hair ribbons for her daughter's 6 dolls. How long will each doll's hair ribbon be? 

1/8 meters each. 

400

8/(5-1) x (3 + 6) x 3 

54

400

l4 - 6l - l9 - 15l

-4

400

Convert this decimal into a fraction and simplify


         0.875

7/8

400

What property of real numbers is being shown here:


2(3x - 4y) --> 2(3x) - 2(4y) = 6x - 8y

Distributive property

400

Jake has two jobs. He gets paid $7.95 per hour at the college cafeteria and $20.25 at the art gallery. Last week he worked 12 hours at the cafeteria and 5 hours at the art gallery. 

$196.65

500

62 + (-14)/2 - (-8)

37

500

((16 - l3(8 - 5)l) / 2)

4

500

(((25/12) + (1/4))/ ((5/6 - 7/8)))

-54

500

2 part question:

1. This property states that the order of multiplication and addition doesn't affect the result. 

2. This property states that grouping of multiplication and addition doesn't affect the result. 

1. Commutative Property

2. Associative Property 

500

Greg has nickels and pennies in his pocket. The number of pennies is seven less than twice the number of nickels. Let n represent the number of nickels. Write an expression for the number of pennies. 

p = 2n - 7