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Multiple choice questions covering various topics in mathematics, including algebra, geometry, and calculus. Students are required to choose the best answer for each question based on the given information.
Typology: Exams
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Dr. ZABDAWI
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Tell which set or sets the number belongs to: natural, whole, integer, rational, irrational, real.
Use the given real number line to compute the distance.
B A E I. I I. I I I I I I ~ -5 -4 -3 -2 -1 0 1 2 3 4 5
Simplify the expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, we assumethat the base is not O. 3)~ x-
A) ..J:.- x
The lengths of the sides of a triangle are given. Determine if the triangle is a right triangle. If it is, identify the hypotenuse.
Perform the indicated operations. Express the answer as a single polynomial in standard form.
A) 4xB + llx7 - 5x4- 16x2 + B C) -4xB + llx7 + 5x4 - 16x2 + B
C) 16^1 x
B) x8 D) x
B) not a right triangle
B) -4x8 + llx7 - 5x4 - 16x2 + 8 D) 4x8 + llx7 + 5x4 - 16x2 + 8
Reduce the rational expression
to lowest terms.
A) Sy + 6 7y + 12
Perform the indicated operations and simplify the result. Leave the answer in factored form.
A) -.l:- x-
Simplify the expression. Assume that all variables are positive when they appear. 4 8)~
C) -
y
Rationalize the denominator of the expression. Assume that all variables are positive when they appear.
A)~ (^) h
C) - y2 + 5y + 6 y2 + 7y + 12
D)~ B)~y+4 7y+
B) 2(x+3) x-3 0)
D) not a real number
y
D)~ y
B)4(~+~) (^) h C)4~+~ (^) h D)4(~-~) h