Algebra Review Station 1 Exponents & Radicals – 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 Expand8. Expand x -2 (3x) -2 (4x) 0 4x 0

Algebra Review Station 2 Complex Numbers – NO CALCULATOR Directions: Simplify each complex number into standard form (a  bi). You should be able to simplify these without a calculator Expand 8. Expand 10. Expand Expand

Algebra Review Station 3 Factoring Expressions Directions: Factor the expression as completely as possible. If the expression cannot be factored, write “prime.” b b x 2 y 3 + 8xy 5 n n a 3 – 22a 2 – 60a 36x 2 – 49y 2 8x 2 – 26xy + 15y 2 4x 3 + 6x 2 – 4x x 4 - 5x 2 – 36 3x 3 + 2x x + 8 9x x 2 – 4x – 12

x 2 + 3x + 9 = 0 Algebra Review Station 4 Solving Polynomial Equations (Finding Roots) Directions: Solve each polynomial equation and find all possible solutions, including any imaginary solutions. Any non-integer roots should be left in simplified radical/fractional form x 2 + 5x = 6 x 3 = -8x 2 – 15x x 2 = x + 12 (x + 4) = 5 x 2 – 2 = -18x 2 + 6x – 13 = 0 x x + 89 = 0 x 3 + 2x 2 + 2x = -4 x 4 + x 2 – 20 = 0

Algebra Review Station 5 Writing Lines & Basic Graphing Directions: Write the equation of the line described for each problem in slope-intercept form. Graph the line on graph paper. All answers must be written in simplified, improper fraction form. No decimals; no mixed numbers. 1. The line has a slope of ¾ and passes through the point (5, -9). 4. The line passes through the points (-1, -3) and (2, 1). 2. The horizontal line has a y- intercept of The vertical line has an x- intercept of The line is parallel to 3x – y = 7 and passes through the point (1, 2). 6. The line is perpendicular to y = -3x + 9and has an x-intercept of 4.

Algebra Review Station 6 Simplifying & Dividing Rational Expressions DIRECTIONS: For #1 – 5, simplify each rational expression by factoring. For #6 – 7, divide the rational expression using Synthetic Division. For #8 – 9, divide the rational expression using Long Division. Be sure to express your remainder as a fraction. 1)2) 3) 4) 5) 6) 7) 8) 9)

Algebra Review Stations Answer Key 1)2)3) 44) 15)6)7) 9x 2 – 60x ) 9) 10)11)12) 13) 14) 15) Station 1 Station 2 Station 3 Station 4 1) 4xy 3 (3x + 2y 2 ) 2) (n + 13)(n + 4)3) -2a(a + 5)(a + 6)4) (6x + 7y)(6x – 7y) 5) (3b – 5)(b + 7)6) (4x – 3y)(2x – 5y) 1) x = -6, x = 1 4) x = 0, x = -3, x = -5 Station 5 1) 2) y = 43) x = -2 4) 5) y = 3x – 1 6) See online answer key for graphs. 2) 3) 1)2)3)4)5) 3 – 5i6) i 7) 4 – 8i 8) i 9) i 10) 25 11) 12) -1 – i 7) (x + 3)(x – 3)(x 2 + 4) 10) (3x + 2)(x 2 + 4) 8) 2x(2x - 1)(x + 2) 9) (3x – 2)(3x + 2)(x + 3) 6) 7) 9) 10) 5) x =  4i 8) x = 5  8i Station 6 1) 4) 2) 3) 6) 5x 2 + 3x – 2 7) 9) 5) (x – 3)(x 2 + 9) 8) 6x 2 – 7x + 2