Algebra 1 SOL Practice Test — Set 3 of 6

Set 3 of 6 — 50 more free Algebra 1 SOL practice questions from official VDOE released tests.

1. 1. Which is closest to the value of (√2)(√6)?

   A7.7B8.5C18.0D29.4
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   Answer: D — 29.4

2. 2. The ordered pairs (0,1), (1,2), (2,5), (3,10), (4,17), (5,?) form a quadratic pattern. What is the missing value of y?

   A10B22C24D26
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   Answer: D — 26

3. 3. What is the range of the function f(x) = (x − 1)² when the domain is −5, 0, 5?

   A1, 16, 36B1, 24C1, 26D12, 2, 8
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   Answer: A — 1, 16, 36

4. 4. Which is a zero of the function f(x) = x² − 8x + 7?

   A8B7C1D−7
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   Answer: B — 7

5. 5. The table shows the average per capita income d (in dollars) as a function of unemployment rate u (percent): u: 1, 2, 3, 4 d: 22,500; 22,000; 21,500; 21,000 Which equation represents this data?

   Ad = 20,000 + 1,000uBd = 22,000 + 500uCd = 23,000 − 500uDd = 25,000 − 1,500u
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   Answer: C — d = 23,000 − 500u

6. 6. The number of words Maria typed varied directly with time. If she typed 275 words in 5 minutes, how long would it take her to type 1,100 words?

   A220 minutesB20 minutesC15 minutesD4 minutes
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   Answer: B — 20 minutes

7. 7. If y varies directly as x and the constant of variation is 2, which equation represents this relationship?

   Ay = 2xBy = 2⁄xCy = x⁄2Dy = −2x
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   Answer: A — y = 2x

8. 8. Sally recorded the following daily grades: 88, 88, 87, 92, 78, 88, 93, 100, 92, 90, 92, 92 What was her mean grade?

   A92B91C90D88
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   Answer: C — 90

9. 9. Joe’s New Car dealership lists the following prices (in dollars): 10,469; 12,895; 15,499; 17,999; 18,595; 21,245; 10,395; 14,985 What is the range in prices?

   A$15,260B$15,242C$10,850D$10,776
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   Answer: C — $10,850

10. 10. Which property of real numbers is utilized by rewriting (11x + 5xy) as (x(11 + 5y))?

    AAssociative property for additionBCommutative property for additionCClosure property for multiplicationDDistributive property for multiplication over addition
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    Answer: D — Distributive property for multiplication over addition

11. 11. What is the solution to (2 + 4a = 16)?

    F18G10H−7J2
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    Answer: H — −7

12. 12. What is the solution to the inequality (7x + 5 > x - 1)?

    F(x > 1)G(x > -1)H(x < -1)J(x < 2)
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    Answer: G — (x > -1)

13. 13. What is the slope of the graph of (y = 6x - 1)?

    A−6B1C−1D6
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    Answer: D — 6

14. 14. What is the slope of the line that goes through the points ((-3, 2)) and ((3, 2))?

    FUndefinedG0H−1J1
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    Answer: G — 0

15. 15. The following table shows values of (x) and (y): | x | −2 | 0 | 2 | 4 | | - | -- | - | - | - | | y | 3 | 2 | 1 | 0 | Which equation fits the data in the table?

    A(y = -x + 2)B(y = x - 3)C(y = 2x + 3)D(y = -2x)
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    Answer: A — (y = -x + 2)

16. 16. Roy works at the local grocery store and is paid $6.00 per hour. His salary (S) depends on the number of hours (t) worked. Which equation represents this relationship?

    F(S = 6 + t)G(S = 6t)H(S = (6)/(t))J(S = (t)/(6))
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    Answer: G — (S = 6t)

17. 17. The equation of the line that contains the points ((-8, 1)) and ((0, 5)) is —

    A(y = 3x - 7)B(y = x - 1)C(y = x + 5)D(y = x - 7)
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    Answer: C — (y = x + 5)

18. 18. Two lines are shown: • Line 1: (x + y = 4) • Line 2: (x - y = 2) Which is the solution to the system of equations?

    F((1, 3))G((2, 2))H((3, 1))J((4, 0))
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    Answer: H — ((3, 1))

19. 19. A rectangle has a perimeter of 68 inches. Its length is 2 inches less than 3 times its width. What are the dimensions?

    ALength 22 in., width 12 in.BLength 25 in., width 9 in.CLength 28 in., width 10 in.DLength 22 in., width 8 in.
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    Answer: B — Length 25 in., width 9 in.

20. 20. A graph shows two lines intersecting at ((−2, 3)). Which is most likely the solution to the system?

    F((0, 5))G((1, 0))H((3, −2))J((−2, 3))
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    Answer: J — ((−2, 3))

21. 21. Which is the solution set for (2x^2 + 3x - 1 = 0)?

    A(-2, 1)B(1, -2)C(-(1)/(2), 1)D(1, 2)
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    Answer: C — (-(1)/(2), 1)

22. 22. Which is the solution set for (x^2 - 4 = 0)?

    F(-4, 1)G(-2, 2)H(1, 4)J(0, 4)
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    Answer: G — (-2, 2)

23. 23. What is the value of (3x^2 - y^2) if (x = -1) and (y = 3)?

    A12B3C−6D−12
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    Answer: C — −6

24. 24. Which expression correctly represents “$10 less than twice the cost, (c)”?

    F(10 + 2c)G(10 + 2 - c)H(2c - 10)J((10)/(2c))
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    Answer: H — (2c - 10)

25. 25. Which is equivalent to ((x^5y^2z^8)/((xy)^3))?

    A(x^2 - 5x - 4)B(2x - 5)C(4x - 10)D(x^2 - 4)
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    Answer: D — (x^2 - 4)

26. 26. The following models show: • (x^2) • (x) • (1) What polynomial is represented?

    F(3x^2 + x + 5)G(3x^2 + 7x + 5)H(3x^2 - 7x + 5)J(3x^2 - x + 5)
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    Answer: F — (3x^2 + x + 5)

27. 27. A rectangle has side lengths (x + 4) and (x + 1). Which expression represents its area?

    A(x^2 + 5x + 4)B(2x + 5)C(4x + 10)D(x^2 + 4)
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    Answer: A — (x^2 + 5x + 4)

28. 28. The continent of North America has an area of approximately (9.4 * 10^6) square miles. Asia has an area of approximately (1.74 * 10^7) square miles. How many square miles larger is Asia than North America?

    F(7.6 * 10^1)G(7.6 * 10^-1)H(8.0 * 10^6)J(8.0 * 10^1)
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    Answer: H — (8.0 * 10^6)

29. 29. Which expression is equivalent to ((9x + 1)(9x - 1))?

    A(18x)B(81x^2 - 1)C(18x^2 - 1)D(81x^2 + 18x + 1)
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    Answer: B — (81x^2 - 1)

30. 30. What is one of the factors of (x^2 + 2x - 15)?

    F((x + 3))G((x + 5))H((x - 1))J((x - 15))
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    Answer: G — ((x + 5))

31. 31. When completely factored, (4 + 16x - 28y) equals —

    A(4(1 + 4x - 7y))B(4(1 + 4x) - 28y)C((4 + 7y)(1 - 4x))D(4 + 4(4x - 7y))
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    Answer: A — (4(1 + 4x - 7y))

32. 32. The area of a rectangle is represented by (2x^2 + 5x + 2). Which is an equivalent expression?

    F((2x + 2)(x + 1))G((2x + 3)(x + 2))H((2x + 1)(x + 4))J((2x + 1)(x + 2))
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    Answer: J — ((2x + 1)(x + 2))

33. 33. Which is closest to the value of (x) if (x = 2^2.7)?

    A3.2B3.7C5.3D9.9
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    Answer: C — 5.3

34. 34. What is the value of (sqrt3.2) to the nearest tenth?

    F0.7G0.9H1.3J1.5
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    Answer: G — 0.9

35. 35. The table shows a linear pattern: | p | 3 | 2 | 1 | 0 | | - | -- | -- | - | - | | w | 14 | 11 |? | 5 | What is the missing value?

    A7B8C9D10
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    Answer: B — 8

36. 36. A graph does not represent a function of (x). Which pair of points proves this?

    A((-3, 4)) and ((-3, -4))B((4, 3)) and ((4, 3))C((3, 4)) and ((4, 3))D((5, 0)) and ((5, 0))
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    Answer: A — ((-3, 4)) and ((-3, -4))

37. 37. A graph shows a function with minimum value 4 and extending upward. What is the apparent range?

    FAll real numbers ≥ 4GAll real numbers ≥ 1HAll real numbers ≤ 1JAll real numbers
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    Answer: G — All real numbers ≥ 1

38. 38. A graph shows a straight line with slope 1 and y-intercept −2. Which equation best describes the graph?

    A(y = -x)B(y = 2x - 2)C(y = x + 2)D(y = x - 2)
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    Answer: D — (y = x - 2)

39. 39. If (f(x) = -2x + 3), what is (f(-4))?

    F5G−1H5.5J11
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    Answer: J — 11

40. 40. The chart shows: | m ($) | 0.50 | 1.00 | 1.50 | 2.00 | | ----- | ---- | ---- | ---- | ---- | | p ($) | 4.00 | 5.00 | 6.00 | 7.00 | Which equation represents this relationship?

    A(p = m + 3.5)B(p = 2m + 3)C(p = 3m + 2.5)D(p = 4m + 2)
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    Answer: B — (p = 2m + 3)

41. 41. What is the range of (f(x) = 3x - 1) when the domain is (-1, 0, 1)?

    F(1, 2)G(-1, 0, 1)H(1, 2, 4)J(-4, -1, 2)
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    Answer: J — (-4, -1, 2)

42. 42. Which of the following does not represent a function of (x)?

    A(x = 1) paired with (y = 1, 2, 3, 4)BDistinct (x)-values each paired with one (y)CEach input has exactly one outputDA vertical line
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    Answer: A — (x = 1) paired with (y = 1, 2, 3, 4)

43. 43. Which is a zero of (f(x) = x^2 - 6x + 7)?

    F1G6H7J41
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    Answer: F — 1

44. 44. Jill’s picture height is 10 cm, and her actual height is 60 inches. Which equation finds the actual height (h) (in inches) of a friend whose picture height is (c) cm?

    A(h = 10c)B(h = 6c)C(h = 3c)D(h = c)
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    Answer: B — (h = 6c)

45. 45. Gas pressure varies directly with temperature. If pressure is 150 atm at 50°F, what is the pressure at 75°F?

    F175 atmG200 atmH225 atmJ275 atm
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    Answer: H — 225 atm

46. 46. ( 3 & 7 8 & 2 + 4 & 6 6 & 2 ) equals which matrix?

    A( 1 & 2 4 & 11 )B( 7 & 13 14 & 4 )C( 9 & 12 6 & 5 )D( 2 & 4 2 & 4 )
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    Answer: B — ( 7 & 13 14 & 4 )

47. 47. If (D = 1 & 3 5 & 4 ), what is (2D)?

    A( 2 & 6 10 & 8 )B( 1 & 5 3 & 2 )C( 2 & 6 10 & 8 )D( 1 & 2 10 & 8 )
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    Answer: A — ( 2 & 6 10 & 8 )

48. 48. Barry’s daily grades: 94, 88, 87, 92, 78, 88, 93, 100, 92, 90, 92, 85 What was the mode?

    F93G92H91J90
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    Answer: G — 92

49. 49. Stem-and-leaf plot (growth in mm): 0 | 8 1 | 2 4 4 4 5 7 8 2 | 2 4 6 3 | 1 What was the median growth?

    A14B15C16D17
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    Answer: C — 16

50. 50. A scatterplot compares dog shoulder height (inches) to weight (pounds). Using a line of best fit, a 28-inch tall dog is predicted to weigh closest to —

    F40 lbG55 lbH65 lbJ70 lb
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    Answer: G — 55 lb

Practice items adapted from Virginia Department of Education released SOL tests. Practice items are provided for study purposes and are not affiliated with or endorsed by the Virginia Department of Education.