Algebra - Grade 9

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Three businesses donated money to charity.

5. Business B pledged $20 million less
than twice the amount pledged by
Business A. Business C pledged $200
million less than twice the amount
pledged by Business B. If x represents
the amount pledged by the Business A,
write expressions to show the amounts
pledged by Business B and Business C
in terms of x.

6. The combined pledges of Business A,
Business B, and Business C totaled
$1035 million. Write an equation that
can be used to determine how much
each business pledged.

---------------------------

3. PYRAMIDS When climbing an ancient
Mayan pyramid, the Johnson family
noticed that the bottom of each side of
the pyramid started with 50 large
stones. The next step up had 45 large
stones, the next step up had 40 stones,
and so on. Write an equation to
represent the number of stones on each
level. How many levels can the pyramid
have?

Steps 1 = 45 stones
Steps 2 = 40 stones
Steps 3 = 34
?

-------------------------------

TRIANGULAR NUMBERS By arranging
bowling pins in their proper order, a
triangle is created. The table below
shows the number of rows of bowling
pins and the total number of pins in the triangle. The formula:

n * (n+1) / 2

can be used to find t, the total number of items in n rows. How many bowling pins would there be if 10 rows of pins were set up?

Rows 1 2 3 4
Pins 1 3 6 10

--------------------------------

PASCAL’S TRIANGLE For Exercises 5 and
6, use the following information.
Blaise Pascal is known for a special
triangular arrangement of numbers, calledPascal’s Triangle.. Each number insuccessive rows of the triangle is created by adding the two numbers in the row above the number.

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1

5. Starting with the second row from thetop, what is the sequence of the diagonal
(1 2 3 4 5 6 7)?

6. The sum of each row represents 2n,
starting with the first row, which is
20 = 1. Write an exponential expression
for the sum of the values in the sixth
row. Simplify the expression.

  • Algebra - Grade 9 -

    id be glad to check your answers if you showed the work that you tried and the answer you think is correct

  • Algebra - Grade 9 -

    For 5 & 6. Business I have no clue where to start. :{

    ---------------------------

    4. TRIANGULAR NUMBERS I tried this:

    t= 10x(10+1)
    t= 10x(11)
    t= 110/2 = 55

    but this also looks wrong and doesn't seem right.

    ---------------------------

    Again with PASCALS TRIANGLE 6 I have no idea where to start.
    --------------------------

    With 3 PYRAMIDS i tried this:

    45-5 (1-9)
    45-5 (8)
    45+40
    = 85

    Also it appears wrong.

  • Algebra - Grade 9 -

    Please. I am having extreme difficulties with this :(

  • Algebra - Grade 9 -

    answer for,5. Business B pledged $20 million less
    than twice the amount pledged by
    Business A. Business C pledged $200
    million less than twice the amount
    pledged by Business B. If x represents
    the amount pledged by the Business A,
    write expressions to show the amounts
    pledged by Business B and Business C
    in terms of x. is
    A=x
    B=2X-20
    C=4X-240

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