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ALG CON – 11/07 Chapter 3 Review NAME ___________________________________________ PERIOD ______ DATE _____________________ 10 10 10 = 10 1. (st 1.0) Compute: 2. (st 1.0) Compute: -12 5 – 3 10 = 3. (st 1.0) Solve the following equations: a) 3x – 15 = 9 b. 5x + 3 = 2x – (5 – 3x) 1 3 c. 9x - 6 – 4x = 3x +1 +17 y 4. (st 10.0) Combine like terms: (7x2 – 3x + 4) + (6x2 + 3x + 8) = 5. (st 21.0) Evaluate y x 2 2 x when x = -5. 6. (st 6.0) Use the graph below to answer the following questions. a) For a point on the line, if the x-coordinate is -1, what is the y-coordinate? _________ b) For a point on the line, if the Y-coordinate is 3, what is the x-coordinate? __________ c) What are coordinates where the line crosses the x-axis? __________ d) What are coordinates where the line crosses the y-axis? __________ 7. (st 6.0, 21.0) Without drawing a graph, describe the shape of each of the equations below. a) y = 2x + 4 parabolic or linear b) y = x2 – 1 parabolic or linear 8. (st 5.0) Use a guess and check table to solve the following. Be sure to state your answer in a sentence. The longest side of a triangle is twice the length of the shortest side. The third side is two centimeters longer than the shortest side and the perimeter of the triangle is 46 centimeters. Find the lengths of the three sides. x ALG CON – 11/07 Chapter 3 Review 9. (st 1.0 ) Solve for x. a) | x | = 9 10. b) | x – 7 | = 12 c) | x + 5 | = 16 d) | 4 – 15 + 32 | = x (st 10.0) Combine like terms. a) 11. (7x + 3) – (4x + 5) = ___________ b) (8x2 – 4x + 7) + (3x2 – 2x + 6) = __________________ (st 6.0) Graph the equation y = -2x + 1 using the table below. x y -3 -2 -1 0 1 2 3 y 4 a. List the domain of this table. x b. List the range of this table. c. Is this relation a function? 12. 13. (st 1.0) Compute the following: a) (5 – 2) –12 = c) (9)(-2) + 1 = b) -8 – (-10) = d) (-12 + -10) ÷ (-2) = (st 5.0) Use a guess and check table to solve the following. Be sure to state your answer in a sentence. Find two consecutive integers such that the sum of the first one and five times the second is 119. y 14. (st 21.0) Graph the equation y = x2 + x using the table below. x 1 0 -1 -2 -3 y Is this relation a function?___________ Is the graph parabolic or linear? x