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WelcomeAlgebra Exit Test Review1. straight line with a negative slope going through (-2, 14). (-1, 10), (0, 6) (1, 2) (2, -2) 2. y = 2/3x + 2 3. a. slope is 3 b. the y-intercept is 4 4. a. slope is –2/5 b. y-intecept is 9/5 5. 0 6. undefined 7. y = -2x (example)…any equation that has –2x as the slope 8. c 9. a. y = 2x – 8 b. y-intercept is –8 c. x-intercept is 4 d. (6, 4) would be an example. Any value when x is greater than 4 is in the 1st quadrant. 10. T = $.50 + $.25(c – 1) Solve: 1. R = (S + 9)/2 2. (–7 +/- square root of 57) / 2 3. x = 13/3 4. if you read this as –2x + 4 < 8 than x > -2; if you read this as –2x + 4 >8 than x < -2 Solving Systems of Equations: 1. x = 3 and y = 0 Absolute Value 1. |x + 3| > 7 would be 4< x < -10 . On a number line, it would be a straight line going between -10 and 4 with open circles on either end. Polynomials: 1. x2 – x –30 2. –a2b – 2b – 6 3. 4x –3yz Factoring: 1. (x + 7) (x – 7) 2. (x – 5) (x – 2) Misc: 1. No, this is not true. For example, if x = -3 and y = 4 , |-3 + 4| is not equal to |-3| + |4| Functions: 1a. No, it is not a function because for every x, there is not one and only one value of y. For example, when x = 5, y is either –2 or –3. 1b. domain is {2, 5, 9, -4} 1c. range is {4, -2, -3, 5} Exponents: 1. –6x7 2. 32a20 3. 7 Exponential Relationships: 1. B = 400 (1.1) 7 2. B = 1000 (3)10 Algebra Final Exam Study Guide Answer Key Evaluate Expressions: 1. 11 2. 42 Identify roles of variables: 1. slope is –3 2. y intercept is 2 3. decay factor 0.4 4. initial value is 5 5. parabola has a vertex of (.3, -6.55), it opens downward and the axis of symmetry is x = .3 Calculate the slope of a line: 1. y = 11x – 15 2. y = 11x (example)….any equation that has 11 as the slope Identify lines: 1. a line with slope of zero is in the format of y = . An example, y = 2 2. a line with an undefined slope is in the format of x = . An example, x = 2 Solve Equations 1. n = 9 2. p = 3 3. w = 4 4. m = -26 5. n = 20 Simplify Expressions: 1. 6a3b7 2. m2 3. –4a2 – 3a + 18 4. –2c2 – 6 Simplify Radical Expressions: 1. square roots: 8 ¾ -10 2. est square roots: between 3 and 4 between 10 and 11 between 8 and 9 3. leave in radical: 2√15 not true (example √7 + √9 = √16 5√3 Solve Systems: 1. x = 15 and y = -10 Solve and Graph Inequalities: 1. x ≤ -4 graph on a number line is a closed circle over –4; the arrow is extending to the left. 2. –22< x < 8 graph on a number line is open circles over 8 and –22 connected by a line. Stem and Leaf: 1. mean is 60.35 2. median is 59 3. mode is 52 and 79 4. range is from 41 to 79 with a value of 38 Probability: 1. ¼ Expand Binomials: 1. x2 + x -6 Factor Quadratic Functions: 1. (2x + 3) (x – 5) |
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