Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Tell whether the expression is a monomial. If it is, name the variable(s) and coefficient, and give the degree of the
monomial. 1) 5x2y5 1) A) Monomial; variables x, y; coefficient 5; degree 2
B) Monomial; variables x, y; coefficient 5; degree 7
C) Monomial; variables x, y; coefficient 5; degree 5
D) Not a monomial Evaluate the expression. 2)
5
7
-
4
6
2) A)
1
21 B)
1
7
C)
1
42 D)
2
7
Factor the polynomial by removing the common monomial factor. 3) 3x2 - 9x 3) A) 3x(x + 3) B) 3(x2 - 3x) C) 3x(x - 3) D) 3x2(x - 3)
Reduce the rational expression to lowest terms. 4)
3x2 - 27x + 54
x - 6
4) A)
1
x - 6
B) 3x - 9 C) 3x2 - 36 D)
3x2 - 27x + 54
x - 6
List all the elements of B that belong to the given set. 5)
B = {17, 8, -19, 0, 5
8
, -
8
5
, 3.3, 25Δ, 0.258258258...}
Integers 5) A) {17, -19} B) {17, 0} C) {17, -19, 0} D) {17, 0, 8}
Factor the polynomial by grouping. 6) 10x2 + 15x - 8x - 12 6) A) (10x - 4)(x + 3) B) (5x - 4)(2x + 3) C) (5x + 4)(2x - 3) D) (10x + 4)(x - 3)
Perform the indicated operations and simplify the result. Leave the answer in factored form. 7)
1 -
1
x
8 +
1
x
7) A)
8x + 1
x - 1 B)
x - 1
8x + 1 C)
x + 1
8x - 1 D)
x - 1
8x
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