MAT101 Graded Exam 1 – Basic Algebraic Operations
Question 1
Apply the associative property of multiplication.
Correct Answer is p
Question 2
Evaluate the expression for the given values of the variables.
The Correct Answer is 3/8
Question 3
Express the set in interval notation.
The Correct Answer is (-3, ∞)
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Question 4
List the elements of A ∩ B.
A = {-29, 14, 13, -20, 11, -2} and B = {-27, -10, 13, 11}
Question 5 Simplify the expression. Write your answer with positive exponents only.
1812/185
Question 6 Simplify.
(19/9)0
Perform the indicated operation and write the answer in scientific notation.
(1.2 ×106)(3.8 ×107)
Simplify the expression, if possible.
(-81)5/2
Evaluate the root without using a calculator or note that root is not a real number.
4√625
Simplify the expression by using the properties of rational exponents. Write the final answer using positive exponents only.
(81s12r−416s−4r4)34(81s12r−416s−4r4)34
Add the polynomials and simplify.
(4m4 – 8m3 – 7m) + (4m4 – 7m2 – 5m)
Subtract the polynomials and simplify.
Subtract (-7m3 – 6m – 6) from (-5m3 – 4m – 8).
Write the polynomial in descending order. Then identify the leading coefficient and the degree.
-9x + 7 – 4x6
Factor completely.
12x5 – 27x3
Factor the polynomial by grouping (if possible).
5n2p – 10np – 5n2 + 10n
Factor completely.
5x7/2 – 5252x-7/2
Simplify the expression, if possible.
(32t+1−t2t2+5t+2)(t+2)
Add or subtract as indicated and simplify if possible.
t2−8t−3−−4t+13t−3
Write the expression as a single term, factored completely. Do not rationalize the denominator.
9811x√+11x−−−√
Add or subtract as indicated and simplify if possible.
xx+2−3−x2x2−4
Related: (Solution) MAT101 Graded Exam 2 Polynomial and Other Equations
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