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ALGEBRA I Comprehensive 1-5 Select the best answer. 1. Angela ran for 45 minutes. Her pace was 5 miles per hour. How far did she run? A 3.75 miles C 9 miles B 2.25 miles D 6.67 miles æ 4ö 2. Simplify ç - ÷ è 3ø 8. Solve the equation for b: a A b a c C b b c c a 2 B b ac 16 9 8 B 6 16 9 16 D 3 A - C D b ca 9. Solve |2x 6| + 4 12. C x = 7 or x = 1 D x = -11 or x = 5 A x=1 B x = 1 or x = 1 3. Simplify: 7x - 2x 2 - 3x +8 A -2x 2 + 4x +8 C 10x 4 B 2x 2 + 8 D 2x 2 -10x +8 4. Simplify 6(x 5) 2x. A 4x 5 C 8x – 30 B 4x + 1 D 4x 30 10. Which inequality could represent the following situation: Holly has at most 7 days to complete her math project. A d7 C d7 B d≤7 D d7 11. Which graph represents the solutions of 3(4 x) 36 5. Solve 4x 3 25. A A x = 18 B x = 5.5 C x = 25 D x=7 B C 6. Solve 3x 6 3x 6. A x = 2 B x=0 C all real numbers D no solution 7. Solve for w: 3- 5w + 2w = 2 - (6 - w) 7 2 7 B w= 4 A w= 7 8 1 D w= 4 C w= D 12. Find the solutions of: -4y £12 A y £ -3 C y³3 B y£3 D y ³ -3 ALGEBRA I Comprehensive 1-5 Select the best answer. 13. A decorator charges $40 for an initial consultation, then $80 per hour. Another decorator just charges $90 per hour. 18. A line has a slope of 3 and contains the point (4, 6). Which is the equation of the line? How long is a job for which the two decorators charge the same price? A 1 hour C 4 hours B 2 hours D 8 hours A y 3x 12 C y 3x 14 B y 3x 6 D y 3x 2 19. Which of the following lines is parallel to the line graphed below? 14. Which function is NOT linear? A y 3x C y x2 2 B xy1 D y 3x 4 15. What is the y-intercept of 4x 3y 24? A (0, -8) C (6, 0) B (0, 8) D (-8, 0) 16. What is the slope of the line graphed below? A y 3x 2 C y B 4x 3y D 1 x3 4 x y 20. Which describes a line passing y A -5 C 1 B 4 1 1 4 B y x (-3, 6) and (6, 0) A y C y D y D y 2 x 3 2 x 3 a line in slope-intercept form. x y slope-intercept form? x C y 21. Use the two points to write the equation of D 4 A y 2 x? 3 3 A y x 2 3 B y x 2 x x B y 3 x 2 3 x 2 x y C y D y 2 x 3 2 x 3 ALGEBRA I Comprehensive 1-5 Select the best answer. 22. Which relation is NOT a function? A B C D (2, 6), (4, 6), (6, 6) (3, 1), (3, 5), (3, 8) (0, 0), (1, 1), (6, 6) (6, 2), (2, 6), (3, 9) 23. What is the value of f(x x A B 5 |3x + 1| when 25. What is the 18th term of the arithmetic sequence 2, 2, 6, 10,…? A 70 C 62 B 66 D 34 26. What is the domain and range of the relation below? C D 7 24. Which scatter plot is the best example of a positive correlation? A A D: 4 ≤ x ≤ 3 B C D: 3 ≤ x ≤ 2 R: 1 ≤ y ≤ 2 R: 4 ≤ y ≤ 1 B D: 1 ≤ x ≤ 2 D D: 4 ≤ x ≤ 1 R: 4 ≤ y ≤ 3 C 27. Which is the dependent variable in the following situation? “Milk sells for $3.39 per gallon.” A B C D D R: 3 ≤ y ≤ 2 number of gallons $3.39 cost per gallon total cost ALGEBRA I Comprehensive 1-5 Select the best answer. 28. The table shows the number of deer in a certain forest over five years. Draw a scatter plot and trend line. Year ’02 Deer 88 ’03 82 ’04 80 ’05 66 ‘06 55 Which is the best prediction for the number of deer in the forest in 2008? A 15 C 80 B 41 D 70 29. Which of the following, when graphed over time, would be a discrete graph? A Weight of an elephant B Amount of water in a pool C Elevation of a hiker D Number of pets in a shelter 30. Nancy has $200 and spends $10 each week. Which function rule describes how much money she has left after any number of weeks? A f (w) 200 10w C f (w) 190w B f (w) 200 10w D f (w) 210w