# Algebra Review Station 1 Simplifying Expressions NO CALCULATOR

- Slides: 7

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. 3 x-2 9. (3 x)-2 4 x 0 10. 11. 12. 14. 15. 16. (4 x)0 13.

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. 3. 6 x – 4 = ¾x – 25 |2 x – 3| = -15 5. 2. 4. 6. |3 x + 6| ≥ 12 7. 8. |x + 4| = 9

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. -2 a 3 – 22 a 2 – 60 a 12 x 2 y 3 + 8 xy 5 3. 4. 36 x 2 – 49 y 2 5. 3 b 2 + 16 b - 35 6. x 2 + 5 x = 6 7. 3 x 2 + 4 x = 7 8. x 3 = -8 x 2 – 15 x x 3 + 8 x 2 – 4 x = 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. 1. 2. y = 2 x-6 Slope: _________ Y-Intercept: _____ Equation: _______ Slope of a parallel line: _________ Slope of a perpendicular line: _____ Two points on the line: _____ 3. _____ Two points on the line: _____ 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 = 2 x – 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 = x 2 – 6 x + 5 Vertex : _________________ Vertex : ________________ Y-intercept: ____________ : ___________ Equation (in factored form) : _________ Y-intercept X-intercepts : ______________ Equation (in standard form) : _________________ Two points on the graph : ____________

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

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