Level D Review Packet
This packet briefly reviews the topics covered
on the Level D Math Skills Assessment.
If you need additional study resources and/or assistance with any of the
topics below, please visit the Math Center during our hours of operation, Monday
– Thursday 9am – 7pm and Friday 9am – 12pm.
All questions and concerns about the assessment should
be directed to Rebecca Tiffin, Math Center Director. Professor Tiffin can be contacted by phone at
385-7395 or e-mail at rtiffin@sjfc.edu.
Note:
A calculator is not
allowed on the Level D Math Skills Assessment.
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Solving
Equations |
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1)
Solve for
x: |
2) Solve for x: 3(3x – 6) = 3(x – 2) |
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3) Solve for x: -6x + 1 = 3(2x +1) |
4) Solve for x: 3(2x – 3) + 5 = 20 – 2x |
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5) Solve for x: 7x – 8 = 2(3 + 2x) + 4 |
6)
Solve for x: |
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7)
Solve for x: |
8)
Solve for x: |
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Solving
Equations - decimal
coefficients and constants |
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1) Solve for m:
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2) Solve for m: |
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3) Solve for m: |
4) Solve for m:
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Solving
Inequalities |
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1)
Solve: 14 |
2)
Solve:
2x - 4 |
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3)
Solve:
2(x – 4) - 3 > 3x + 22 |
4)
Solve:
3(x – 2) > 7 - 4x |
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Evaluating
Expressions - negative and fractional exponents |
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1)
What is the value of |
2)
What is the value of |
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3)
What is the value of |
4)
What is the value of |
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Solving
Equations – variables
in the exponent |
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1)
1) Solve for x: |
2) Solve for x: |
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2)
3) Solve for
x: |
4) Solve for x: |
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Solving
Radical Equations |
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1) Find the solution set of |
2) Find the solution set of |
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3) Find the solution set of |
4) Find the solution set of |
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Solving
Absolute Value Equations |
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1) Find the solution set of |x – 6| = 6. |
2) Find the solution set of |2 – 4x| = 12. |
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3) Find the solution set of |7x – 4| = 3. |
4) Find the solution set of |3 – 2x| = 13. |
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Solving
for a Variable |
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1)
Solve in terms of y:
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2)
Solve in terms of y:
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3)
Solve in terms of y:
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4)
Solve in terms of y:
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Multiplying
Polynomials |
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1) Multiply: (3x + 4)(2x – 3) |
2)
Multiply: (4x – 3y)(2x – y) |
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3)
Multiply:
(x + 6)2 |
4)
Multiply:
(2x - 3)2 |
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Factoring |
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1)
Factor completely:
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2)
Factor completely:
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3)
Factor completely:
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4)
Factor completely:
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Solving
Quadratic Equations |
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1)
Solve: |
2)
Solve: |
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3)
Solve: |
4)
Solve: |
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Solving
Systems of Linear Equations |
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1) What is the solution to the system of equations below? x – y = 8 x + y = 2 |
2) What is the solution to the system of equations below? –x + y = 3 x + y = 5 |
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3) What is the solution to the system of equations below? x + y = 7 -x
+ y = 3 |
4) What is the solution to the system of equations below? 2x – y = 1 -2x
+ 3y = 5 |
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5) What is the solution to the system of equations below? x
– 2y = 2 x
+ 2y = -14 |
6) What is the solution to the system of equations below? x + 3y = 12 2x
– 3y = 6 |
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7) What is the solution to the system of equations below? -3x
+ y = 8 3x – 2y = -10 |
8) What is the solution to the system of equations below? x + 2y = -2 3x
+ 2y = -12 |
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Dividing
Polynomials |
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1) Find
the quotient when 6x2+12x3
is divided by -6x2. |
2) Find the quotient when 4a2x – 8ax+12ax2 is divided by 4ax. |
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3)
Simplify completely:
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4)
Simplify completely:
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5)
Simplify completely:
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6)
Simplify completely:
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7)
Simplify completely:
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8)
Simplify completely:
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Adding
and Subtracting Algebraic Fractions |
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1) Express as a single fraction in lowest terms: |
2) Express as a single fraction in lowest terms: |
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3) Express as a single fraction in lowest terms: |
4) Express as a single fraction in lowest terms: |
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5) Express as a single fraction in lowest terms:
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6) Express as a single fraction in lowest terms: |
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7) Express as a single fraction in lowest terms: |
8) Express as a single fraction in lowest terms: |
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Multiplying
Algebraic Fractions |
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1) Write the following expression in simplest form: |
2) Write the following expression in simplest form:
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3) Write the following expression in simplest form: |
4) Write the following expression in simplest form:
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5) Write the following expression in simplest form: |
6) Write the following expression in simplest form:
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7) Write the following expression in simplest form: |
8) Write the following expression in simplest form:
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Equations
Involving Fractions |
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1) Solve for all values of x: |
2) Solve for all values of x: |
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3) Solve for all values of x: |
4) Solve for all values of x: |
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Simplifying
Complex Fractions |
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1)
Simplify: |
2)
Simplify: |
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3)
Simplify: |
4)
Simplify: |
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Finding
Inverses Algebraically |
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1) What
is the inverse of the function |
2) What
is the inverse of the function |
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3) What
is the inverse of the function |
4) What
is the inverse of the function |
?
?
?
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Domain |
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1) What
is the domain of the function |
2) What
is the domain of the function |
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3) What
is the domain of the function |
4) What
is the domain of the function |
?
?
?
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Composition |
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1)
Given: Find: |
2)
Given: Find: |
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3)
Given: Find: |
4)
Given: Find: |
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5)
Given: Find: |
6)
Given: Find: |
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7)
Given: Find: |
8)
Given: Find: |
and 
and 
and 
and 
and 
and 
and 
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Logarithms |
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1)
Solve for x: |
2)
Solve for x: |
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3)
Solve for x: |
4)
Solve for x: |
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5)
Solve for x:
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6)
Solve for x:
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7)
Solve for x: |
8)
Solve for x: |
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9)
Solve for x: |
10) Solve
for x: |
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11) Solve
for x: |
12) Solve
for x: |
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Log
Equations |
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1) Solve for x: log2(x) + log2(x – 2) = 3 |
2) Solve for x: log3(x + 3) + log3(x + 5) = 1 |
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3) Solve for x: log3(x - 2) - log3(x - 4) = 2 |
4) Solve for x : log5(x) – log5(x – 2) = 1 |
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Trigonometry |
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1)
What value for x in the interval |
2)
What value for x in the interval |
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3) If |
4) If |
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5) If |
6) If
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, what is 
, what is 
, what is 
