# Algebra 1

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## Algebra 1

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1. Algebra 1 2006 Released Test

2. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most \$225. The estimate included \$35 for the part, a\$40 service charge, and \$30 per hour for labor. What is the maximum number of hours the repairman estimated for the job? • 4½ • 5 • 5½ • 6

3. What is the solution to the followingequation? • x = 1 • x = 2 • x = 3 • x =4

4. Enter question text... • x > 26 • x > 29 • x > 13/2 • x > 28

5. The statement“If ½x = 5, then x = 10”is justified by the — • associative property of multiplication • commutative property of multiplication • addition property of equality • multiplication property of equality

6. What are the x- and y-intercepts of theline with equation 4x + 5y =40? • x-intercept 10, y-intercept 8 • x-intercept 8, y-intercept 10 • x-intercept -10, y-intercept -8 • x-intercept -8, y-intercept -10

7. A. B. C. D. Which graph best represents the line • A • B • C • D

8. Which is an equation for the line that passes through the origin and has a slope of 3/5? • y = 3/5 • x = 3/5 • y = x • y = 3/5x

9. What is the slope of the liney =4x -2? • 4 • 2 • ¼ • -2

10. A. B. C. D. Which line has a y-intercept of 5 and an x-intercept of 1? • A • B • C • D

11. Which equation best represents theline shown? • y = 2x + 2 • y = 2x + 1 • y = ½x + 2 • y = x + 2

12. What is the apparent slope of the linegraphed below? • 5/2 • 2/5 • -2/5 • -5/2

13. The difference in cost between a large bag of chips and a small bag of chips was 90¢. Alicia bought 5 large bags and 3 small bags of chips for her party and spent \$17.22. What was the cost of a small bag of chips? • \$5.74 • \$2.49 • \$2.15 • \$1.59

14. A. B. C. D. Which is an equation for the line thatpasses through the points (3, 0) and (0, 2)? • A • B • C • D

15. The length of a rectangle is 6 meters more than its width. If the area is 135 square meters, what is its width? • 5 m • 9 m • 15 m • 27 m

16. A. B. C. D. What is the solution to the system ofequations shown below? • A • B • C • D

17. Which is a solution to the followingequation? • x = 14 • x = 12 • x = 2 • x = 0

18. What is the slope of the line through(3, 2) and (-1, -4)? • 3 • 3/2 • 2/3 • -3/2

19. Which is the solution set for theequation above? • {0, 3} • {-3, 0} • {1, 3} • {2, 3}

20. What is the value ofwhen m = 4? • 0.5 • 1.2 • 1.7 • 2.0

21. Joe, who is the youngest member of the wrestling team at Northwood High School, is 5 years less than one-half the age of the coach. If the coach is n years old, which expression describes Joe’s age? • ½n - 5 • 5 – ½n • 2n + 5 • 2n - 5

22. Which expression is equivalent to-4a(3a - 5b)? • -12a2 + 20ab • -12a2 - 20ab • -12a2 + 20a • -12a2 - 9ab

23. Which is equivalent to(2a + 3b -2c) + (3a - 4b - c) + (a - 5b + 4c)? • 5a - 6b + c • 6a - 6b - c • 6a - 6b + c • 6a2 - 6b2 + c2

24. A. B. C. D. Given the models below, which figurerepresents (x2)(x3)? • A • B • C • D

25. What is √108 written in simplestradical form? • 2√27 • 3√12 • 6√3 • 1√83

26. Which is equivalent to the expression shown below?32· 3-3 • -3 • -1 • 1/769 • ⅓

27. When simplified, (2x2y3)4 equals — • 8x6y7 • 8x8y12 • 16x6y7 • 16x8y12

28. What are factors of 2x2 + 9x +9? • (x + 9)(x + 1) • (x - 3)(2x - 3) • (2x + 3)(x + 3) • (2x + 9)(x + 1)

29. x2 - 81y2 =? • (x + 3y)(x - 27y) • (x - 9y)(x - 9y) • (x + 9y)(x - 9y) • (x - 3y)(x + 27y)

30. What is the greatest common monomial factor of3x3 + 6xy +9x2 + 12x2y2? • x3y2 • 3x2y2 • 3x • 3

31. Which is closest to the value of q ifq = √177 - √256 ? • 29.3 • 24.5 • -1.3 • -2.7

32. The numbers in the table follow alinear pattern. What is the missing y value? • 182 • 180 • 176 • 172

33. The table below shows the relation between the number of members in a club selling cookies and the predicted number of boxes sold. Using the data shown, which equation could be used to predict the number of boxes of cookies that the club will sell? • b = 60g • b = 70g • b = 60g + 50 • b = 50g + 50

34. What is the range of the relationplotted on the graph? • {-2, -1, 0, 1, 2} • {-2, -1, 0, 2} • {-2, -1, 1, 2} • {-2, -1, 0, 1, 2, 3}

35. The ordered pairs in the sets shown below are of the form (x, y). In which set of ordered pairs is y a function of x? • {(-6, 12), (1, 8), (1, 13)} • {(0, 2), (0, 4), (4, 0)} • {(7, -1), (7, -2), (7, -3)} • {(1, 3), (2, 4), (3, 5)}

36. If y varies directly as x, what is theequation for the direct variation shown in the table below? • y = 1/7x • y = 7x • y = 7x • 7y = x