- 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 - 13)(x + 6)
C) (x - 12)(x - 4)
D) (x - 8)(x + 6)
- 2. What are all the zeros of the function
g(x)=x2 - 100?
A) x = -10 and x = 10
B) x = 10
C) x = -10
D) x = 100
- 3. Subtract the polynomials
( - 5x3 + 8x2 - 10) - ( 2x2 - 12)
A) - 5x3 - 6x2 - 2
B) - 5x3 - 10x^ + 222
C) - 5x3 + 10x2 - 22
D) - 5x3 + 6x2 + 2
- 4. Find the product ( x - 3)( 3x2 + 4x + 5).
A) 3x3 - 5x2 - 7x - 15
B) 3x3 + 5x2 + 7x - 15
C) 3x3 - 13x2 - 17x - 15
D) 3x3 + 13x2 + 17x - 15
- 5. Which expression is equivalent to
(5x + 3)(5x - 3)?
A) 25x2 - 9
B) 25x2 - 16x - 4
C) 10x2 + 16x - 9
D) 10x2 -6
- 6. Solve the following equation.
7( x - 3) = 21
A) x 1
B) x = 0
C) x = -6
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) 8.75 hours
B) 7.5 hours
C) 5 hours
D) 3.75 hours
- 8. Which of these equations does the graph below represent?
A) m = 1.6t + 0.5
B) m = 0.5t + 1.6
C) m=1.6(0.5)t
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 (0, 2).
B) No, Ynna needs to start graphing at the x-intercept (2, 0) and then draw a line with a slope of -6.
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=1/3 x-4
C) y = -3x - 4
D) y = 3x - 4
- 11. Which is a solution of the inequality
13 ≤ - 4x - 15
A) -7
B) -2
C) 0
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 = -4
B) w = -6/5
C) w = 4
D) w = 6/5
- 14. Evaluate the following algebraic expression when x = 3.
x3 + 5x + 1 = ?
A) 22
B) 43
C) 25
D) 19
- 15. Solve for m.
4m - 21 = 31
A) 4/10
B) 13
C) -13
D) 10/4
- 16. Solve using the quadratic formula.
x2 - 8x - 2 = 0
A) x = (8 ± √(-56))/2
B) x = (-8 ± √(-56))/2
C) x = -4 ± 3√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) (-6, 8)
B) (3, -2)
C) (0, 0)
D) (6, -8)
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