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ACT Review-linear and quadratic

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1 ACT Review-linear and quadratic
2013 L’Anse Creuse Public Schools

2 What is the slope of a line joining points (3,-5) and (6,10)
-4 -2 1 3 5

3 None of these are correct.
Which of the following equations shows x + 3y = 5 in slope-intercept form? y = -1/3 x + 5 y = -1/3 x + 5/3 y = 1/3 x + 5/3 y = 1/3 x + 5 None of these are correct.

4 What is the slope of the line from the function 3x + 5y = 8?
-5 - 5/3 - 3/5 3/5 8

5 f(x) = 6x - 13 f(x) = -6x - 13 f(x) = -13x + 6 f(x) = -13x – 6
The temperature at 1:00 p.m. on Tuesday was -13°C. There was an increase of 6°C per hour starting at 1:00 p.m. Which of the following best represents the Celsius temperature x hours after 1:00 p.m. on Tuesday? f(x) = 6x - 13 f(x) = -6x - 13 f(x) = -13x + 6 f(x) = -13x – 6 None of these

6 What is the equation of the line that passes through (0,7) and (8,7)?
y= -7 x= 7 y= 7 x= -7 y= 8

7 The slope of a line that goes through (0,0) is -1
The slope of a line that goes through (0,0) is -1. What is the relationship between the x and y coordinates of each point on the line? x is twice the y. x is ½ the y. x & y are the same y is the negative of x y is ½ of the x

8 Find the slope of line where 3x = 7y - 9
-3 3/7 7/3 3 7

9 What is the relationship between each pair of x and y values in the table below?
y = -2x y = -1/2x y = 1/2x y = 2x None of these

10 What is the slope of a line parallel to x – 3y = 9
- 1/9 1/3 3 6 9

11 Which of the following has a y-intercept of 4 and is parallel to 3y-9x=20?
-12x + 4y = 16 9x – 3y = -15 2y = 4x + 10 7y = 14x + 7 3x – 9y = 14 Could just check y-int by x=0 too!

12 For which value of a is there no solution to the system: -x + 5y = 7 -6x + 10ay= 32
20 30 None of these Could just check y-int by x=0 too!

13 What is line is perpendicular to y = 3/5 x + 12?

14 What is slope of a line perpendicular to 2x – 7y = 12?
- 2/7 - 7/2 -7 2/7 7/2

15 What is the y- intercept of the line 6x – 3y = 12?
-4 -3 3 4 Could just check y-int by x=0 too!

16 What is the relationship between each pair of x and y values in the table below?
y = -2x y = -1/2x y = 1/2x y = 2x 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35

17 What is the x- intercept of the line 6x + 3y = 12?
-4 -2 2 4 Could just check y-int by x=0 too!

18 Which of the following describes the graph of f(x) = -x2 ?
A parabola that opens up. A curved line. A parabola that opens down. It crosses y-axis at y= -1 It crosses x-axis at x= 2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35

19 If z = -4, what value of b makes the equation true when (2z + b)(z – 3) = 0
-8 -7 3 8 None of these


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