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​​ALGEBRA EXAMPLES

Find one side of the square in simplest radical form

2/1/2018

 
The area of a square is 60 square inches. What is the length of one side? I’m not allowed round. ​

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Find the area of the figure

1/11/2016

 
Picture

​
​What is the area of the figure shown at the left?
A.)  22
B.)  26
C.)  30
​D.)  32


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Do the three sides make a right triangle?

2/16/2015

 
The lengths of the three sides of a triangle are 10, 14, and 18 inches.  Determine whether this triangle is a right triangle.

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Complement of an angle

9/6/2013

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Find the measure of an angle if its measure is 26° more than three times its complement. 

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Complementary angles

8/21/2013

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The measure of an angle is 8 less than three times its complement. Find the measure of the angle.

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Perimeter and area of a square

8/20/2013

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The length of a side of a square is 5x+2 units.  If it has a perimeter of 48, what is equation for the perimeter? What is the value of x? What is the area of the square?

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Find the length and width

7/25/2013

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The perimeter of a rectangle if 68 feet. If the length is 8 feet more than the width, find both the length and width.  (Formula: P = 2L + 2W)

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Perimeter of a rectangle

7/24/2013

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A rectangle has a length of 12 and a width of 2x. If the area of the rectangle is 12, what is the rectangle's perimeter?

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Find the missing leg of the triangle

7/22/2013

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A garden has the shape of a right triangle with one leg 9 meters longer than the other. The hypotenuse is 9 meters less than twice the length of the shorter leg. What is the length of the shorter leg?

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Find the missing angle of the triangle

3/3/2013

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Picture

A triangle has one interior angle that has a measure 45°, another interior angle that  has measure x°, and an exterior angle that has measure 85°, as shown in the diagram.
What is the value of x?


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