Unit Test – Powers and Algebra Mock Test
Name: _________________________________
Knowledge
Application
Communication
Thinking
Part A: Multiple Choice
1. When multiple powers with the same base, we keep the base and
a) Add the exponents
c) Multiply the exponents
b) Divide the exponent
d) Subtract the exponents
2. When finding the power of a power, we
a) Multiply the exponents
c) Divide the exponent
b) Add the exponents
d) Subtract the exponents
3. When divide powers with the same base, we keep the base and
a) Divide the exponent
c) Add the exponents
b) Multiply the exponents
d) Subtract the exponent
4. (-5x2z3)2 is equivalent to
a) 10x4y5
c) 25x4z6
b) -25x2z6
d) -10x4y6
5. The polynomial 5z + 3xy – 12r + 0 is called a(n)
a) Equation
c) Binomial
b) Term
d) Trinomial
6. The constant in the polynomial 8 + 2a – 15x is
a) a
c) 15
b) 8 or 2
d) 8
7. The coefficient (s) in 5y2 + 12x + 6 z + 6
a) 5y2, 12x
c) 5, 12, 6, 6
b) y2,x, z
d) 5, 12, 6
8. A polynomial with one term is called a(n)
a) Mono – term polynomial
b) Onenomial
b) Monomial
c) Uninomial
9. Another term like 12ab is
c) (12ab)2
a)
d) -6ab
b) 12
10. The number of terms in 45x + 5y2 – 8x3+ 3
a) 3
c) 4
b) 1
d) 45, 5, -8, 3
Part B: Short Answer
1. Fill in the missing information to make the statements true.
(Write what should go in the underline beside the question). Show all the works!
a) _______ (x2 + 2y3z) = 3x3 + 6xy3z
b) 4a3 ( _____________ - _____________ ) = 8a4 – 12a3b2
4
4
2. Explain the Difference between -3 and (-3) , and evaluate each power.
3. Fill in the missing information
Power Form
23
Base
Exponent
Expanded Form
Evaluate
94
Polynomial
Term With Highest
Degree
Degree of Term in
Column 2
Degree of polynomial
x+5
7x4y4 + 8y6x
4. Simplify
d) 12m +5y -2m -7y
e) 5x5 + 12x + 5x5 -20
e) (5a2 – 3a + 6) – (2a2 + 3a +7)
5. Expand and simplify
a) 3(4x + 6) +7x
c) 3a (b2 + 2) – a (2b2 + 7)
b) 6m + 3(2m+5) + 7
d) -4n2m3 (n2m + 7) + 3nm2 (n3m2 – 6)
7. The perimeter of the triangle below is 28m
A
3x+5
3x - 1
B
2x
C
Determine the measure of each side of the triangle
Show your work
8. The area of the following rectangle is given. Determine an expression for the width and an
expression for the length. Justify your answer by evaluating correctly to the area given.
A = 4x2 + 12
Thinking
A student simplifies an expression using ALL THREE EXPONENT RULES. Her
5
answer is 5x . Give an example of what her original question might have looked like.
9. Determine the perimeter of the shape shown below.
x
X+1
2
2x+1