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Unit 8 review Gulley
Perimeter
Question: If the length is 8 and the width is 10, what is the perimeter of this rectangle?
Answer: 36
Question: If the length is (2x-5) and the width is (5x+8), what is the perimeter of the rectangle?
Answer: 14x+6
Question: What is the perimeter of a rectangle that has a length that is 5 more than the width?
Answer: 4x+10
Question: If the perimeter of a triangle is (7x+5) and the height is (2x+1) and the base is (x-5), what is the length of the 3rd side?
Answer: 4x+9
Question: What is the perimeter of a rectangle that has a length of (x-7) and an area of x2-10x+21?
Answer: 4x-20
Area
Question: If the length of a rectangle is (2x-3) and the width is (x-7), what is the area?
Answer: 2x2-17x+21
Question: If the height of a triangle is (x-2) and the base is (4x-10), what is the area?
Answer: 2x2-9x+10
Question: The area of a rectangular garden is x2-10x+21, if the length is (x-7) what is the width?
Answer: (x-3)
Question: The area of a square is x2-4x+4, what are the side lengths?
Answer: (x-2)(x-2) or (x-2)2
Question: If the area of a rectangle is x2+10x-200, what are the side lengths?
Answer: (x-10)(x+20)
Simplify
Question: (3x2-10x+7)+(x2+2)
Answer: 4x2-10x+9
Question: (2x2+10x)-(3x2+5x-8)
Answer: -x2+5x+8
Question: (3x2y5z10)0
Answer: 1
Question: 100x2y5z
__________
20x5y3z8
Answer: 5y2
_____
x3z7
Question: 3(3x-2)(5x-8)
Answer: 45x2-102x+48
Exponent Rules
Question: x2 times x5
Answer: x7
Question: c10
____
c3
Answer: c7
Question: (b3)10
Answer: b30
Question: x0
Answer: 1
Question: x-2
Answer: 1
___
x2
Extras
Question: Find the next term:
1x2, 3x5, 9x8, 27x11
Answer: 81x14
Question: Which will always produce an even integer?
a) 2x+1
b)2x-1
c) 2x
d) 3x-2
Answer: C) 2x
Question: If y=x-8, what is equivalent to x4?
Answer: y -1/2
Question: Write the expressions equivalent to each of the following terms.
a-3
(-a)3
-(a)3
Answer: 1
___
a3
-a x -a x -a
-(a x a x a)
Question: Write the equation for the two points:
(2,18) (4,24)
Answer: y=3x+12