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Quarter 1 Review Algebra 2 over 2 Multiple Choice Identify the choice that best completes the statement or answers the question. Translate the sentence into an equation. ____ 1. Eighty-five minus five times x is equal to ten. a. c. b. d. Solve the equation. Then check your solution. ____ ____ ____ 2. a. 1 b. 0.4 c. –1 d. 0.05 a. 0.7 b. –0.3 c. 1.3 d. 0.3 3. 4. Solve the formula for r. a. b. c. d. Find the slope of the line that passes through the pair of points. ____ 5. (–3, –2), (5, 4) a. 3 b. 4 c. 3 4 4 3 d. 4 3 Write a linear equation in slope-intercept form to model the situation. ____ 6. A television repair shop charges $35 plus $20 per hour. a. c. b. d. Write an equation of the line that passes through each point with the given slope. ____ 7. a. b. c. d. Write an equation of the line that passes through the pair of points. ____ 8. a. y = b. y = 1 8 x+ 11 8 1 8 x– 11 8 c. y = 1 x – 11 8 8 d. y = 1 x + 8 8 11 Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation. ____ 9. Women in the Army 16 14 12 Percent 10 8 6 4 2 1981 1991 2001 Year Source: Time Magazine, March 24, 2003 a. b. c. d. positive; as time goes on, more women are in the army. no correlation negative; as time goes on, fewer women are in the army. negative; as time goes on, more women are in the army. ____ 10. Which is not part of the definition of the piecewise function shown? a. 2 if x 1 b. x 1 if 1 x 1 c. x 1 if 1 d. 2x if x 1 x 1 ____ 11. Write an equation for the line that passes through (0, 2) and is parallel to the line whose equation is 3x 3. a. c. y y 5y b. y 3x 2 d. y ____ 12. Identify the domain of y a. all real numbers b. { } ____ 13. 3 3x 2 . c. { d. { } } Identify the family of function y = a. linear function b. quadratic function c. absolute value function d. rational function ____ 14. What family of function is f(x) = 3x + 4 a. linear function b. quadratic function c. exponential function d. rational function ____ 15. What family of function is f(x) = a. linear function b. quadratic function ____ 16. Write 3y 1 5x in standard form. a. 5x 3y 1 b. 5x 3y 1 Short Answer Graph each equation or inequality. 17. y 2x 9 c. exponential function d. rational function c. y d. 3x x 1 5y 1 0 y 11 10 9 8 7 6 5 4 3 2 1 –11–10 –9 –8 –7 –6 –5 –4 –3 –2 –1 –1 1 2 3 4 5 6 7 8 9 10 –2 –3 –4 –5 –6 –7 –8 –9 –10 –11 18. f (x) y 5 4 3 2 1 –5 –4 –3 –2 –1 –1 –2 –3 –4 –5 19. y 2x 4 1 2 3 4 5 x x y 6 5 4 3 2 1 –6 –5 –4 –3 –2 –1 –1 1 2 3 4 5 6 1 2 3 4 5 6 x –2 –3 –4 –5 –6 20. y y 7 6 5 4 3 2 1 –7 –6 –5 –4 –3 –2 –1 –1 –2 –3 –4 –5 –6 –7 7 x