Algebra II
Name______________________________________
Linear Review
Period _______ Date _________________________
Graph each line using the given equation. *For problem 1, do not solve for y.
2
1. y  8   ( x  7)
3
2. x  8
3. 6 x  4 y  12
Write an equation for each line graphed below.
4. _______________
5. _______________
6. _______________
Write an equation for each line with the given information.
7. Through ( 4, -6) with the same x-intercept as 3x  2 y  15
Point-Slope form:_______________________________
Slope-Intercept form:____________________________
Standard form:_________________________________
8. Vertical through (-11, 12)
Point-Slope form:_______________________________
Slope-Intercept form:____________________________
Standard form:_________________________________
9.
f (5)  6 and f (7)  9
Point-Slope form:_______________________________
Slope-Intercept form:____________________________
Standard form:_________________________________
10. Through ( 7, -8) parallel to x  3 y  7
Point-Slope form:_______________________________
Slope-Intercept form:____________________________
Standard form:_________________________________
4
5
11. Through ( 4, -5) perpendicular to y  6   ( x  7)
Point-Slope form:_______________________________
Slope-Intercept form:____________________________
Standard form:_________________________________
12. Through ( 4, -5) with the same y-intercept as 4 x  7 y  35
Point-Slope form:_______________________________
Slope-Intercept form:____________________________
Standard form:_________________________________
13. Antler Problem: Based on data collected on mule deer in Colorado, the mass of a deer’s antlers
(measured in October) varies linearly with the deer’s age. According to the data, a 30 month old deer’s
antlers are about 152 grams and an 80 month old deer’s antlers are about 552 grams. (Assume most deer
don’t live past 20 years).
 Write a particular equation expressing antler mass in terms of the deer’s age.

Predict the antler mass of a 51 month old mule deer.

Suppose that you brought back a mule deer whose antlers are 432 grams. About how old was he?

What is the age-intercept? What does this number tell you about the problem?

What is the antlers mass-intercept? What does this number tell you about the problem?

What are the units of the slope? What does this number tell you about the problem?

Sketch the graph of this function using a suitable domain and range.

What is the domain and range of this function?
If f ( x)  x 2  4 x  7 , g ( x)  8  3x and h( x)  5x  2 evaluate the following.
14. f (2)
15. h( f (3))
16. g (4)  h(4)
17. 3 f (3)  2 g (5)
18. g (h( x))
19. ( f
g )(4)
Identify whether the graph is a function and find the domain and range for each graph.
20.
21.
22.
Use inequality notation.
Use interval notation.
Your choice of notation.
Function: __________
Function: __________
Function: __________
Domain: _____________
Domain: _____________
Domain: _____________
Range: _____________
Range: _____________
Range: _____________