Comprehensive Test. Chapters Find the equation of the line with slope 2 passing through (4, 1).

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1 Chapters Find the equation of the line with slope passing through (, 1). 1. A y = x + 9 y = x - 3 C y = x + 7 D y = x -. Use your graphing calculator to determine which of the following expressions is not equivalent to the others.. A x(x - )(x + ) x(x + 3x - 10) C x 3 + 3x - 10x D x 3-3x - 10x 3. Complete the table below to determine the solution to the equation 18 = x x 0 x - 10 A C 0 D. What is 60% of 0?. A 1 80 C 10 D 1,00. Simplify ( ( a)). A a a C a D a All triangles in the target at the right are congruent. What is the probability that a dart thrown at random at the target will land in the shaded region? A 1 C 1:3 3 D 1 7. Evaluate - x x when x = 3. A 1 3 C 3 D 1 8. Solve a + 3 A 3 C 3 = a. 3 D Algebra 81

2 Chapters 1 6 page 9. Which best explains the mistake made in graphing the inequality 8 < 6x - y? A The line should be solid. The x-intercept is incorrect. C The shading should be below the line. D The line should be solid and the shading should be below the line. 10. A number puzzle is supposed to begin and end with the same number n. In which step is the first mistake made if answers A D below represent successive steps in the algebraic puzzle? egin with a number n. Subtract. Multiply by. Add 8. Divide by. End with n. A n - (n - ) = n - C n = n + D n + = n Rex can bench press 0 pounds and is increasing the weight at a rate of 3 pounds per week. Nicholas can bench press 60 pounds and is increasing the weight at a rate of pounds per week. Use the graph shown at the right to determine in which week(s) w Rex will be bench pressing more weight than Nicholas. A w > 0 w < 0 C w 0 D w = 0 1. Which of the following is the solution to the equation 7 x = 1 1? A 1 1 C 1 D y x Pounds Nicholas Rex Weeks w 8 Algebra

3 Chapters 1 6 page Connie has 13 ceramic dolls in her collection and is adding dolls every weeks. Which expression represents the number of dolls in Connie s collection in w weeks? 13. A w + 13 w + 13 C w + 13 D (w + 13) 1. The world record in the 100-meter dash in 1996 was set by Donovan ailey of Canada with a time of 9.8 seconds. In 006, Asafa Powell of Jamaica set a new world record in the event with a time of 9.77 seconds. Which answer represents the average rate of change per year during this decade in the time needed to run the 100-meter dash? 1. A 10 years C 0.07 second per year 1.96 years D second per year 1. Use your graphing calculator to help you solve the inequality x + <. 1. A 7 x 3 7 < x < 3 C x 7 or x 3 D x < 7 or x > Which ordered pair is not a solution to 3y < 6x + 9? A (0, ) (1, ) C (3, 9) D (, ) 17. Use the TALE and Y= commands in your graphing calculator to determine which of the expressions are equivalent Y1 = (x + 1)(x - 1) Y = x(x + 1)(x - 1) Y3 = x - 1 Y = x + x - 1 A Y1 and Y3 C Y and Y 18. Find the product a 8ac A 17b C ab3 3b c 7b3 a. 1b c c Y1 and Y D Y1, Y, Y3, and Y ab 3c D a3 b 3c Find the value of x - 3x when x = x A undefined C 1 D Algebra 83

4 Chapters 1 6 page 0. Which illustrates the Multiplication Property of Zero? A 9 0 = (x y) = (0 x) y C = D ( + ) = 0 1. Solve x =. A 10 C 3 3 D 1 3. Solve (x - 1) = 1 + (x - 1). A C no solution D all real numbers AC is similar to EFG. What is the length of FG? A E 3. A 3. cm.7 cm C.3 cm D.1 cm 3.6 cm.68 cm C 1.7 cm G F. The data below represent the height of an oak tree in the indicated years since its planting. Use your calculator to find a line of best fit and estimate the height of the tree in year 0.. Year Tree Height (feet) A 63. ft C 8.8 ft 7.1 ft D 9. ft. Find the slope of line passing through the points (, ) and (1, 3). A 8 C D Tabatha runs a mile in 8 minutes. How many miles does she run per hour? A C 9 D Algebra

5 Chapters 1 6 page 7. Solve 3x + = 7x - 1. A C D Rewrite the expression x - y - z using only addition. 8. A x + y + z C x + y + z x + y + z D x + y + z 9. Which interval for y is an appropriate window to view the graph of x + y = 70 on your graphing calculator? 9. A 0 y 0 8 y C 10 y 10 D 30 y Which of the following is not equivalent to a b? A a 1 b a 1 1 b C a b D a 1 b 31. Simplify (a - 3b) - ( a - b). A a - b C a - 7b a + 7b D a + b 3. Courtney drove less than 130 miles. This is 1 more miles than times the number of miles driven by Mike. Which inequality represents the possible number of miles m driven by Mike? A m < 9 m 3 C m < 3 D m Janet bought a winter coat marked $11. She paid 7.% sales tax. What was the total cost of the coat? A $8.0 $119.0 C $10.0 D $ Petra is in a lottery to win free movie tickets. Her name is on of the balls that are in a barrel with 30 other balls. What is the probability that Petra s name will be drawn? A 1 7 C D Algebra 8