math_general_7.html

Math Problems

Last

Math problems come and go. A section on "Read-a-ruler" can also be found here.



From the Internet


 
http://www.brainmass.com/homework-help/math/algebra/22981     
                                                2x 2 + 5x = 3
1. Solve by factoring:
                                      !
2. Solve by factoring:                          3x(4 x " 7) " 2 = 4
                                      !
                                                3x 2 = 16
3. Solve by using the square root property:
                                      !
                                                (x " 2) 2 = 25
4. Solve by using the square root property:
                                      !
                                                x 2 " 4 x + 4 = 36
5. Solve by using the square root property:
                                      !
                                                2x 2 " 3x " 4 = 0
6. Solve by completing the square:
                                      !
                                                2x 2 " 3x " 4 = 0
7. Solve using the quadratic equation:
                                      !
8. Tom has a rectangular garden. Its length measures 2 feet more than its width. He
   is planning to extend the length and width each by one foot. The area of the new
   garden will be 132 square feet. What is the width of the old garden?

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http://www.toadhaven.com/Beginner's%20Algebra.html

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times table
http://www.mathsisfun.com/tables.html    

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please do problems at ver1 ver2 ver3 then open 'answers'
http://www.teach-nology.com/worksheets/math/algebra/simple/

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http://www.mathplayground.com/GrandSlamMath1.html

Vicky solved 38 math problems. Mary solved 27 more problems than Vicky. How many did Mary solve?

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percent
http://www.purplemath.com/modules/percntof.htm

    *  What percent of 20 is 30?
    *  What percent of 4 is 5.5?
    *  What is 35% of 80?
    *  45% of what is 9?
    *  Suppose you bought something that was priced at $6.95, and the total bill was $7.61. What is the sales tax rate in this city? 
    *  Suppose a certain item used to sell for seventy-five cents a pound, you see that it's been marked up to eighty-one cents a pound. What is the percent increase?
    *  A computer software retailer used a markup rate of 40%. Find the selling price of a computer game that cost the retailer $25.

    *  A golf shop pays its wholesaler $40 for a certain club, and then sells it for $75. What is the markup rate?
    *  A shoe store uses a 40% markup on cost. Find the cost of a pair of shoes that sells for $63.
    *  An item originally priced at $55 is marked 25% off. What is the sale price?
    *  An item that regularly sells for $425 is marked down to $318.75. What is the discount rate?
    *  An item is marked down 15%; the sale price is $127.46. What was the original price?
    *  Growing up, you lived in a tiny country village. When you left for college, the population was 840. You recently heard that the population has grown by 5%. What is the present population?          
    * Your friend diets and goes from 125 pounds to 110 pounds. What was her percentage weight loss?
    *  Your boss says that his wife has put an 18 × 51 foot garden in along the whole back end of their back yard. He says that this has reduced the back-yard lawn area by 24%. What are the total dimensions of his back yard? What are the dimensions of the remaining lawn area?


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http://www.arithmaclick.com/


Math Problems

Mileage
Number of miles driven divided by number of gallons: 650 / 14 = 46



Math Problems

12
* 2


82
- 58


78
- 59


19
+ 58


21
* 3


32
* 1


94
- 67


91
- 58


18
* 2


14
* 1.5


78
+ 59


28
+ 58


70
+ 23


83
+ 28


92
+ 51


03
* 11


69
+ 92


21
* 08


78
+ 59


98
- 58


92
+ 23


19
* 58


12
/ 6


83
* 58


 


Money Arithmetic

Money Arithmetic is how we count money. We use decimal numbers like 1.50, 2.00, 2.50, and 3.00 to count money.

What is a "decimal number"?
When we say "one-and-a-half" and write "1.50" we are using a decimal number. This is a different way to write fractions.

What is a fraction?
A part of something. "1/2 dollar" is half of the dollar.

How are decimal numbers and Money Arithmetic similar?
The period is called a "point" and divides the whole number from the fraction number. They are similar because they both count fractions with a "point".
Compare Decimal and Money
Decimal Money
0.01 is 1/100 0.01 is a "Penny"
0.05 is 5/100 0.05 is a "Nickel"
0.10 is 10/100 0.10 is a "Dime"
0.25 is 25/100 0.25 is a "Quarter"
0.50 is 50/100 0.50 is a "Half Dollar"
1.00 is 100/100 1.00 is a "Dollar"

What does the symbol $ mean?
We use the dollar symbol $ before the number. The dollar symbol means money in the US system.

What is a cent?
A cent is the smallest money coin we use. Cent and penny mean the same thing. We write one cent like this: .01

Money Arithmetic Problems



Translating narrative to equation

99 is 9 more than 9 times a number.
Write this as an expression: 9x + 9 = 99



Math Problems

Mileage
Number of miles driven divided by number of gallons: 650 / 14 = 46



Math Problems

12
*   92


  82
*   58


  78
*   59


  19
*   58


  21
*   89


  32
*   58


  94
*   67


  91
*   58


 
18
*   82


  13
*   58


  78
*   59


  28
*   58


  70
*   23


  83
*   28


  92
*   51


  03
*   98


 
91
*   59


  23
*   58


  78
*   59


  18
*   52


  32
*   23


  23
*   91


  12
*   19


  23
*   11


 
32
*   92


  23
*   32


  78
*   59


  23
*   49


  83
*   23


  23
*   58


  07
*   19


  23
*   28


 
19
*   01


  23
*   58


  78
*   59


  23
*   58


  92
*   83


  13
*   58


  51
*   19


  93
*   58


 
69
*   92


  21
*   08


  78
*   59


  98
*   58


  92
*   23


  19
*   58


  24
*   19


  83
*   58


 
Money Arithmetic Problems


How to read a ruler

How many lines?
Count the lines. 4 lines means "quarters".
Count the lines. 8 lines means "eighths".
Count the lines. 16 lines means "sixteenths".
Count the lines. 32 lines means "thirty-seconds".
How to add ruler fractions.
Fractions can be added only when the bottom part is the same.
Can this be added: 1/16 plus 2/16?
When adding fractions, just use the top numbers. What is 1 + 2?
Say the answer: What is 1/16 + 2/16?

Can this be added: 1/16 plus 4/8?

Can this be added: 1/4 plus 2/4?
When adding fractions, just use the top numbers. What is 1 + 2?

Can this be added: 1/4 plus 4/8?

Practice reading a ruler.
Play a game: How to read a ruler.

Practice fraction arithmetic.
12/16
+ 2/16


9/16
- 2/16


10/16
- 1/16


3/16
+ 8/16


2/16
+ 3/16


3/16
+ 1/16


9/16
- 7/16


16/16
- 5/16


8/16
+ 2/16


1/16
+ 4/16


8/16
+ 5/16


8/16
- 5/16


7/16
+ 3/16


8/16
+ 8/16


2/16
+ 1/16


3/16
+ 1/16


6/16
+ 2/16


2/16
+ 8/16


7/16
+ 5/16


8/16
- 5/16


2/16
+ 3/16


9/16
+ 5/16


12/16
- 6/16


5/16
+ 3/32


 
Practice ruler arithmetic.
Repeat the above exercise on the Internet Ruler.

Perform this exercise, please.
Take a blank sheet of paper and fold it in half.
Write 1/2 on the crease, at the top. Write 2/2 at the far right edge.
Fold it in half again.
At each crease, stop and write the correct fraction: 1/4, 2/4, 3/4. (4/4 at the edge).
Fold it in half again.
At each crease, stop and write the correct fraction: 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8. (8/8 at the edge).
Fold it in half again.
At each crease, stop and write the correct fraction: 1/16, 2/16, 3/16, 4/16, 5/16, 6/16, 7/16, 8/16, 9/16, 10/16, 11/16, 12/16, 13/16, 14/16, 15/16. (16/16 at the edge).

Open the Internet Ruler. Point to 1/2 and say "one half". Point to 1 and say "two halves".
Point to line number 4 and say "one quarter". Point to the middle and say "two quarters". Point to the correct line and say "three quarters". Point to 1 and say "four quarters".
Follow along with your folded sheet and say each "eighth".
Follow along with your folded sheet and say each "sixteenth".