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.

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.

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

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).

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 : ____________________

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

Algebra Review Stations Answer Key 1) 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)