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Algebra 2 Chapter 1 Review Name: __________________ TRUE OR FALSE. CORRECT THE FALSE. ____True_________1. A correlation of 0.9 is stronger than a correlation of –0.2. __False_________2. When you add a negative when solving inequalities, you must flip the sign. ____False_______3. All real numbers are the solutions to n > 3 and n < 7. __False_________4. x 3 5 has no solution. _True_________ 5. -5.3 is a real and rational number. ____False______ 6. (a+b) +c = (b+a) +c is an example of the associative property. SHOW ALL WORK! 7) What is the equation of the line that contains the point (-1, 5) and is parallel to the line y = 4x + 8? (Recall parallel has the same slope.) y - 5 = 4 ( x + 1) y = 4x + 9 8) Write an equation of a line in slope intercept form that passes through the points (4, 6) and (4, 3). x= 4 9) Write an equation of a line in slope intercept form that passes through the points ( 4, -3) and (6, -7). y = -2x + 5 10) Decide whether the given tables are linear. If yes, please write an equation. X 0 1 4 Y 6 8 14 Yes Y=2x+6 X -1 -2 -3 -4 Y 3 6 12 24 no 11) Find the solution or solutions to the equation 2 x 4 3x 7 .(Be sure to check your answer(s). x=-3/5 12) Solve. 4x 7 16 6x x £ 23 /10 13) Solve and graph on a number line. 5x 2 18 All real Numbers 14) Solve and graph. 5x + 9 > 15 + 4x x>6 15). Solve and graph. x + 8 3 or 2x – 1 5 x £ -5 or x ³ 3 16) Solve. k 3 8 17) Solve. 2 x 4 14 k=-24 x=5, x=-9 18) Solve and graph. 4 2 x 6 -1 £ x £ 5 19) x y 2 5 5 10 9 15 15 22 22 35 30 50 40 70 a. Find the correlation coefficient. Describe the correlation. R=.99 b. Find an equation of the line of best fit. ___y=1.69x-0.14_____________ (round to the nearest hundredth) c. Use your equation to predict y when x = 12. 20.14 20) Graph the following. 3x + 2y = 5 21) A salesperson earns w = 125 + 10n, where n is the number of products sold, and w is his/her weekly wage, in dollars. Identify the y-intercept and the slope, and explain their meaning in practical terms. Y intercept =125, base salary Slope 10 dollars//item HODGE-PODGE. SIMPLIFY THE FOLLOWING: 22) 8x2 – 15x2 -7x2 23) 4m n 5m n 2 8 3 -20m10 n4 24) 4ab 6 64a3b18 SOLVE AND CHECK THE FOLLOWING: 25) p 4 7 9 12 p=151 27) 2(3x 7) 8x 9 12 4(5x 1) x=31/34 7 w 5 10 w=-7/15 29) 26) 28) q 9 7 q 3 5 q=33 2 4x 5 6 3 x=7/2 30) x=-2/5 3 3 2 1 x 5 3 3