#3 A, B, C thanks.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter8: Polynomials
Section8.4: Special Products
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#3 A, B, C thanks.

3. Moshe bought a kg of oranges in a price of $b per kg. A week later he bought 7 kg more but at a price that is
$2 less per kg.
a. Write an algebraic expression for the cost of the first batch of oranges.
b. Write an expression for the cost of oranges on that Moshe bought on the second week.
c. Now you know that Moshe bought 7kg of oranges on the first week. You also know that the price he paid for
the oranges he bought on the first week is identical to what he paid for the oranges he bought on the second
week. How much did Moshe pay on the first week for 1kg of oranges?
4. Consider a rectangle in which one side is 4 times longer than the other side.
a. If the length of the shorter side is x, what is an algebraic expression that describes the area of the rectangle?
b. Each of the longer sides was shortened by 4cm and each of the shorter sides was lengthen by 3cm. Write an
algebraic expression to describe the rectangle that was created. Which values of x can you use in this
problem?
c. The area of the new rectangle is larger than the area of the original one by 36cm². What was the perimeter
of the original rectangle?
5. Factor the following expressions:
48 +48 a =
10x-10y=
5x+35y =
100a-4y=
6a-6b=
2x+ 200y =
20x + 4y =
4a+14b =
Transcribed Image Text:3. Moshe bought a kg of oranges in a price of $b per kg. A week later he bought 7 kg more but at a price that is $2 less per kg. a. Write an algebraic expression for the cost of the first batch of oranges. b. Write an expression for the cost of oranges on that Moshe bought on the second week. c. Now you know that Moshe bought 7kg of oranges on the first week. You also know that the price he paid for the oranges he bought on the first week is identical to what he paid for the oranges he bought on the second week. How much did Moshe pay on the first week for 1kg of oranges? 4. Consider a rectangle in which one side is 4 times longer than the other side. a. If the length of the shorter side is x, what is an algebraic expression that describes the area of the rectangle? b. Each of the longer sides was shortened by 4cm and each of the shorter sides was lengthen by 3cm. Write an algebraic expression to describe the rectangle that was created. Which values of x can you use in this problem? c. The area of the new rectangle is larger than the area of the original one by 36cm². What was the perimeter of the original rectangle? 5. Factor the following expressions: 48 +48 a = 10x-10y= 5x+35y = 100a-4y= 6a-6b= 2x+ 200y = 20x + 4y = 4a+14b =
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