1. 3x-2 (3x)-2 4x0 (4x)0 Algebra Review Station 1
Simplifying Expressions – NO CALCULATOR
Directions: Simplify each expression without using a calculator. Leave all non-integer answers in terms of simplified, improper fractions and radical expressions when applicable. No answers may be written in decimal form. 1. 2. 3. 4. 5. 6. 7. 8.
3x-2
(3x)-2
4x0 9.
10.
11.
12.
(4x)0
13.
14.
15.
16.

2. 6x – 4 = ¾x – 25 |x + 4| = 9 |2x – 3| = -15 |3x + 6| ≥ 12
Algebra Review Station 2
Solving Equations and Inequalities
Directions: Solve each equation or inequality. There may be more than one solution. Leave all non-integer answers in terms of simplified, improper fractions when applicable. No answers may be written in decimal form. If an equation/inequality has no solution, write “no solution.” 1. 2.
6x – 4 = ¾x – 25
|x + 4| = 9 3. 4.
|2x – 3| = -15 5. 6.
|3x + 6| ≥ 12 7. 8.

3. 12x2y3 + 8xy5 -2a3 – 22a2 – 60a 36x2 – 49y2 3b2 + 16b - 35 x2 + 5x = 6
Algebra Review Station 3
Factoring & Solving
Directions: For #1-4 factor the expression as completely as possible.
For #5-8 solve each equation; find all solutions, and leave any answers as fractions. 1. 2.
12x2y3 + 8xy5
-2a3 – 22a2 – 60a 3. 4.
36x2 – 49y2
3b2 + 16b - 35 5. 6.
x2 + 5x = 6
3x2 + 4x = 7 7. 8.
x3 = -8x2 – 15x
x3 + 8x2 – 4x = 32

4. Algebra Review Station 4 Linear Graphs and Writing Equations of Lines
Directions: For question 1 given the equation of the line sketch a graph and fill in the information. For question 2 given the graph of a function, answer the same questions. For #3 and 4, write the equation of the line. 2. 1.
y = 2x-6
Slope: _________
Y-Intercept: _________
Equation: _____________
Slope of a parallel line: _________
Slope of a perpendicular line: _____
Two points on the line: _________
Slope: _________
Y-Intercept: _________
Slope of a parallel line: _________
Slope of a perpendicular line: _____
Two points on the line: _________ 3. 4.
Write the equation of the line that passes through points
(3, -1) and (5, -7).
Write the equation of the line that is perpendicular to
y = 2x – 5 and passes through
(-9, 10).

5. Algebra Review Station 5 Graphs of Quadratic Equations
Directions: For question 1 given the equation of the quadratic, sketch a graph of the function and identify the x and y-intercepts, and two other points on the graph. For question 2, given the graph, identify the vertex, y-intercept, equation of the graph in factored and standard form, and two points on the graph. 2. 1.
y = x2 – 6x + 5
Vertex :_________________________________
Vertex :________________________________
Y-intercept:_______________________
Y-intercept : ______________________
Equation (in factored form) : _________________
X-intercepts : ___________________________
Equation (in standard form) : _________________
Two points on the graph : ____________________
Two points on the graph : ____________________

6. Algebra Review Station 6 Rational Expressions
Directions: Simplify each rational expression completely. 1. 2. 3. 4. 5. 6. 7. 8. 9.
10.
11.

7. Algebra Review Stations Answer Key1) 2) 3) 4) 5) 6) 7) 8) 4
9) 1
10)
11) 9x2 – 60x + 100
12)
13)
14)
15)
16)
Station 2
1) x = -4
2) x = 5 and x = -13
3) No Solution 4) 5) or 6) 7)
8) x = -2 and x = 1
Station 3
1) 4xy3(3x + 2y2)
2) -2a(a + 5)(a + 6)
3) (6x + 7y)(6x – 7y)
4) (3b – 5)(b + 7)
5) x = -6, x = 1
6) x = 1, x =
7) x = 0, x = -3, x = -5
8) x = 2, x = -2, x = -8
2) slope = -2
y-intercept = 8
equation: y=-2x+8
slope of parallel = -2
Station 4
Slope = 2
y-int = 6
slope of parallel = 2,
slope of perpendicular =
Two points = A.M.V. 1)
y = -3x + 8
slope of perpendicular =
Two points = answers may vary
Station 5 1) 2)
Vertex = (3, -4)
Y-int = (0, 5)
X-int = (1, 0) and (5, 0)
Two points = answers may vary
Vertex = (-1, -9)
Y-int = (0, -8)
Equation (factored): y = (x + 4)(x – 2)
Equation (standard): y = x2 + 2x – 8
Two points = answers may vary
Station 6 1) 2) 3) 4) 5) 6) 7)
x – 6 8) 7x 9)
10)
11)