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Algebra 2
Name___________________
CHAPTER 1 REVIEW
1. Micah was given $200 for his birthday. Each week he spends $15 on comic books. In
how many weeks will his birthday money be gone?
Create multiple representations (x  y table, graph and equation) for the relationship
between the weeks since Micah’s birthday and how much money he has left. How does
each representation show the solution to the problem?
TABLE:
EQUATION:
GRAPH:
2. Graph each equation and find the point of intersection
3
y   x  8 and 2x – 3y = -6
2
3. Graph the function f ( x)  x 2  x  6 . Identify the domain and range, any special
points and describe any symmetry.
factor: ____________________
Domain: ______________________
Range: ______________________
Special Points:
________________________
(x-intercepts)
________________________
(y-intercept)
________________________
(max. or min.)
line of symmetry:
4. Given the functions f ( x)  x  4 and g ( x)  x 2  x , find each of the following.
a. f(5)
b.
g(-1)
c.
x if f(x) = 10
5. Find the x- and y- intercepts for
a. y  x 2  3x  18
d. if g(x) = 6, then solve for x
algebraically.
b. 5x – 7y = 35
x-intercepts: ___________________
x-intercept: ___________________
y-intercept: ____________________
y-intercept: ____________________
6. Describe the domain and range for each function shown below. (CL 1-121, p. 45)
a.
b.
Domain: ____________________
Domain: ____________________
Range: _____________________
Range: _____________________
7. Use the Pythagorean Theorem to find the value of x. Write each trig ratio (SOH,CAH,
TOA) for angle A
B
15
12
A
C
x
8. Solve for y. (Closure 1-127, p. 46)
a.
b.
9. Rewrite each equation as an equivalent equation without fractions and then solve.
x  2 10  2 x
3

1  8
a.
b.
5
3
x
c.
x x
 7
2 3
10. Determine where the graphs of these equations intersect using your calculator.
a.
b.
y  3 x  15
y  x 2  3x  8
y  3  3x
y  2 x-1
11. Find an equation for each of the lines described below.
a. The line that passes through the point (2,8) and has a slope of -5.
b.
The line that passes through the points (-3,4) and (5,-4).
a. slope
c.
b. y-intercept
c. equation
The line that passes through the points (-2,4) and (4,-5).
a. slope
b. y-intercept
c. equation
12. What is the equation for the graph.
13. Solve
y  5x  3
a.
y  2x  6
b.
3|2𝑥 − 1| − 3 = 24
c.
x y 6
y  2x
d.
51 = 5x – 4
e.
2x – 5(x + 4) = -2(x + 3)
f.
(x – 3)(2x + 7) = 0