LQE Model
1) Find the roots of 6x² + x – 2 using factoring
- (-2/3 , ½)
- (2/3 , -½)
- (-2/3 , -½)
- (2/3 , ½)
2) Find the roots of 6x² + 7xy - 20y² using factoring
- (-5/2y , 4y/3)
- (-5/2y , -4y/3)
- (5/2y , -4y/3)
- (5/2y , 4y/3)
3) Find the roots of 20x² - 13x + 2 = 0 using factoring.
- 0.5 or 0.25
- 0.4 or 0.25
- 0.4 or 0.30
- 0.4 or 0.4 5
4) Find the roots of 8x² + 14x - 15 = 0 using factoring.
- -2.5 or -0.75
- -2.5 or 0.75
- 2.5 or -0.75
- 2.5 or 0.75
5) Find the roots of 5x = 3/x -11/2 using factoring.
- 1.5 or 0.4
- -1.5 or 0.4
- 1.5 or -0.4
- -1.5 or -0.4
6) Find the roots of 8y² - 2y – 15 using factoring.
- -5/4 , 3/2
- 5/4 , 3/2
- -5/4 , 3/2
- -5/4 , -3/2
7) Find the roots of 15x ²+ 14x – 16 using factoring.
- 2/3 , 8/5
- 2/3 , - 8/5
- -2/3 , 8/5
- -2/3 , -8/5
8) Find the roots of 6x² - x - 15 = 0 using factoring.
- -3/2 , -5/3
- 3/2 , 5/3
- -3/2 , 5/3
- 3/2 , -5/3
9) Find the roots of 8y² + 10y - 25 = 0 using factoring.
- 5/4 , 5/2
- 5/4 , -5/2
- 7/8 , 1/2
- 4/5 , 6/3
10) Find the roots of 6x² - 47x + 77 using factoring.
- 7/3 , -11/2
- -7/3 , 11/2
- - 7/3 , -11/2
- 7/3 , 11/2
11) In solving the quadratic equation 2x² - 12x + 13 = 0 by the method of Completing the Square, which of the following is correct?
- 3.5
- -2.5
- 78
- 2.5
12) In solving the quadratic equation 5x² + 2x - 9 = 0 by the method of Completing the Square, which of the following is correct?
- 1.84
- 3.84
- 0.84
- 2.84
13) In solving the quadratic equation 4y² - 12y + 7 = 0 by the method of Completing the Square, which of the following is correct?
- 0.8
- 0.2
- 0.7
- 0.6
14) In solving the quadratic equation 8z² - 3z - 2 = 0 by the method of Completing the Square, which of the following is correct?
- 0.2579625
- 0.28515625
- 0.79515625
- 0.28875
15) Which of the following is correct for the vertex of the parabola f(x) = 2x² + 8x - 12?
- (-2, -20)
- (-2, 20)
- (2, 20)
- ( 2, -20)
16) The below shows part of the graph of the function f(x) = x² − 2x – 8. What is the equation of its axis of symmetry?
- 1
- 3
- 8
- 7
17) The below shows part of the graph of the function f(x) = x² + 2x − 15. What is the equation of its axis of symmetry?
- 8
- 3
- 1
- 6
18) The below shows part of the graph of the function f(x) = x² − 8x + 12. What is the equation of its axis of symmetry?
- 5
- 4
- -4
- -5
19) The below shows part of the graph of the function f(x) =-x² − 8x – 7. What is the equation of its axis of symmetry?
- 8
- -4
- 5
- 9
20) Solving the quadratic equation x² - 4 = 0; x = ?
- 8
- -5
- -2
- 5
21) Solving the quadratic equation 3x² + 4x + 5 = 0; x = ?
- -32 > 4
- -32 > 4
- -66 > 3
- -44 < 0
22) Solving the quadratic equation x² + 4x - 5 = 0; x = ?
- (1,-5)
- (1,5)
- (7,2)
- (0,9)
23) Write the equation of the line that has a slope of -7/ 8 and contains the point (4, 5/4)
- (-7/8 )x + (19/4)
- (-7/8 )x - (19/4)
- (-7/8)x + (9/ 4)
- (7/8 )x + (19/4)
24) Write the slope-intercept form of the line with a slope of -0.6 and which contains the point (3.8, 7.25)
- y = 3.8x + 7.25
- y = -0.6x + 4.97
- y = -0.6x + 9.53
- y =-0.6x + 3.8
25) Write the equation of the line that passes through the points (2, 1) and (−1, −5)
- y = 2x + 3
- y = 2x – 4
- y = - 2x – 3
- y = 2x – 3
26) Identify the correct function for the below graph.
- 7 - x
- 4 - x
- 2 - x
- 5 - x
27) Identify the correct function for the below graph.
- 6-x
- 3-x
- 8-x
- 7-x
28) Identify the correct function for the below graph.
- (3/2)-x
- (1/2)-x
- (9/2)-x
- (5/2)-x
29) Identify the correct function for the below graph.
- (1/2)^x/2
- (3/2)^x/2
- (9/2)^x/2
- (5/2)^x/2
30) Given f(x) = 45(6) (1/2 x), Evaluate f(3)
- 661.36
- 601.36
- 691.36
- 671.36