- 1. Consider the function f(x)=x2 - 8x - 48. Which of the following expressions is an equivalent expression for f(x) in a form that reveals the zeros of f(x)?
A) (x - 12)(x + 4)
B) (x - 8)(x + 6)
C) (x - 13)(x + 6)
D) (x - 12)(x - 4)
- 2. What are all the zeros of the function
g(x)=x2 - 100?
A) x = -10 and x = 10
B) x = 10
C) x = 100
D) x = -10
- 3. Subtract the polynomials
( - 5x3 + 8x2 - 10) - ( 2x2 - 12)
A) - 5x3 - 10x^ + 222
B) - 5x3 - 6x2 - 2
C) - 5x3 + 10x2 - 22
D) - 5x3 + 6x2 + 2
- 4. Find the product ( x - 3)( 3x2 + 4x + 5).
A) 3x3 - 5x2 - 7x - 15
B) 3x3 - 13x2 - 17x - 15
C) 3x3 + 5x2 + 7x - 15
D) 3x3 + 13x2 + 17x - 15
- 5. Which expression is equivalent to
(5x + 3)(5x - 3)?
A) 10x2 -6
B) 10x2 + 16x - 9
C) 25x2 - 9
D) 25x2 - 16x - 4
- 6. Solve the following equation.
7( x - 3) = 21
A) x 1
B) x = 6
C) x = 0
D) x = -6
- 7. The distance in miles of a motorist from her destination is given by the function
d(t) = 525 - 60t,
where d(t) is the distance and t is the time she has been traveling in hours. How long has the motorist been traveling when she is 300 miles from her destination?
A) 7.5 hours
B) 8.75 hours
C) 3.75 hours
D) 5 hours
- 8. Which of these equations does the graph below represent?
A) m = 1.6t + 0.5
B) m=1.6(0.5)t
C) m = 0.5t + 1.6
D) m = 0.5(1.6t)
- 9. Ynna needs to graph the equation
y = 3x - 6. She says that she
should start graphing at the
y - intercept (0, -6) and then draw a line with a slope of 3. Is Ynna correct?
A) No, Ynna needs to start graphing at the x-intercept (2, 0) and then draw a line with a slope of -6.
B) No, Ynna needs to start graphing at the x-intercept (0, 2).
C) No, Ynna needs to start graphing at the y-intercept (0, 3) and then draw a line with a slope of -6.
D) Yes, Ynna is correct.
- 10. If Cristina graphed the line shown below, which of the following equations did she use?
A) y=1/3 x-4
B) y = -3x - 4
C) y = 3x - 4
D) y=-1/3 x-4
- 11. Which is a solution of the inequality
13 ≤ - 4x - 15
A) 0
B) -2
C) 7
D) -7
- 12. Which value of x is the solution of the equation
7(x + 3) + 2x = 9
A) 4/3
B) -4/3
C) -3/4
D) 3/4
- 13. Solve.
6w - 13 = 11w + 7
A) w = 6/5
B) w = -4
C) w = -6/5
D) w = 4
- 14. Evaluate the following algebraic expression when x = 3.
x3 + 5x + 1 = ?
A) 22
B) 43
C) 19
D) 25
- 15. Solve for m.
4m - 21 = 31
A) 10/4
B) 13
C) -13
D) 4/10
- 16. Solve using the quadratic formula.
x2 - 8x - 2 = 0
A) x = -4 ± 3√2
B) x = (-8 ± √(-56))/2
C) x = (8 ± √(-56))/2
D) x = 4 ± 3√2
- 17. Which is the solution to the equation
x2 - 5x + 1 = 0
A) x = ( -5 ± √(-21))/2
B) x = ( 5 ± √(-21))/2
C) x = ( 5 ± √21)/2
D) x = ( -5 ± √21)/2
- 18. Solve the system of equations below.
2x + y = 4
x - y = 5
A) (0, 0)
B) (6, -8)
C) (-6, 8)
D) (3, -2)
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