WorksheetsUnit 2 Extra Practice
Total questions: 12
Worksheet time: 3600secs
Name
Class
Date
1.
State the domain and range of the function.
a)
domain: x < -6; range: y > 1
b)
domain: x > -6; range: y < 1
c)
domain: x > -6; range: y > 1
d)
domain: x > -5; range y > 2
2.
Write the equation of the line through the points (4,3) and (7,5) in standard form.
a)
y - 3 = (2/3)(x - 4)
b)
-2x + 3y = 1
c)
-2x + 3y = -17
d)
-2x + 3y = -5
3.
Find the slope of the line between the points (1/4 , 11/3) and (1/2 , 3). Simplify and write as an improper fraction
a)
-8/3
b)
-7/2
c)
-1/6
d)
-.67/.25
4.
Write the equation of the line through the point (-2,-4) that is perpendicular to the line
y = -4.
y = -4.
a)
x=-4
b)
y=-2
c)
x=-2
d)
x=-3
5.
A factory is producing toy trucks. The company will make $30 if 20 trucks are sold. They will make $55 if 50 trucks are sold. Write a linear model if x = $ and y = trucks sold.
a)
y = (6/5)x + 20
b)
y - 20 = 30(x - 30)
c)
y - 50 = 25(x - 55)
d)
y-50=(6/5)(x - 55)
6.
If f(x) = -3 + 5x and g(x) = 2x-1, find the difference f(1/2) - g(-2).
a)
-11/2
b)
9/2
c)
-9/2
d)
-5.5
7.
Write the slope intercept equation of the line through the point (-2,3) that is parallel to the line through (3,5) and (1,1).
a)
y = 2x -2
b)
y = 2x + 3
c)
y = 2x + 7
d)
y = (-1/2)x + 3
8.
Given the linear piecewise function, evaluate f(-3), f(-2) and f(-1). List answers in that order.
a)
-7, 7, 5
b)
-7, -5, 4
c)
6, 5, 4
d)
-7, 5, 4
9.
Name the vertex and axis of symmetry of the function
y= 2 ∣3x+1∣ - 2
y= 2 ∣3x+1∣ - 2
a)
vertex (-1,-2)
axis: x = -1/3
axis: x = -1/3
b)
vertex: (-1/3, -2)
axis: y=-1/3
axis: y=-1/3
c)
vertex: (-1/3, -2)
axis: x = -1/3
axis: x = -1/3
d)
vertex: (-3,-2)
axis: x = -3
axis: x = -3
10.
Describe how the function transforms when compared to the parent graph:
y = -∣x+4∣+3
y = -∣x+4∣+3
a)
The graph reflects, translates 4 units right and 3 units up
b)
the graph dilates, translates 3 units right and 4 units up
c)
the graph reflects, translates 4 units left and 3 units down
d)
the graph reflects, translates 4 units left and 3 units up
11.
Write the point slope equation of the line that passes through the point (-1,5) and is perpendicular to 2y = x - 6
a)
y-5 = (1/2)(x+1)
b)
y-5 = -2(x+1)
c)
y+1 = -2(x-5)
d)
y+5 = -2(x+1
12.
Write the absolute value function as a piecewise function:
y = ∣2x+4∣
y = ∣2x+4∣
a)
y = -2x+4 for x≤-2
y=2x+4 for x>-2
y=2x+4 for x>-2
b)
y=-2x-4 for x≤-2
y=2x-4 for x>-2
y=2x-4 for x>-2
c)
y=-2x-4 for x≤-2
y=2x+4 for x>-2
y=2x+4 for x>-2
d)
y=-2x-4 for x≤-2
y=2x+4 for x>-2
y=2x+4 for x>-2
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