SPRING FINAL Review Algebra I 2016
1. (2C/3C) Write the equation of this
line in standard form.
2.(5C) A system of equations is used to
produce the set of points in the table
below. What is the x value of the
solution?
𝑥 −6
−3
𝑦 −18 −12
𝑦 18
12
4(2I) Write the equation of the line
graphed below in slope-intercept form.
7. (6A) The table below shows ordered
pairs that satisfy the quadratic function
𝑓. Between what
𝑥 𝑓(𝑥)
interval would I find:
−2 31
1. f(x) = 3
−1 20
0
11
2. f(x) = 0
1
4
2
−1
3. f(x) = -2.5
3
−4
4
−5
-4
5
3
0
0
6
-6
6
9
−12
12
3. (3B) What is the rate of change?
𝒙
5
4.5
2
1.5
0.5
y
60
180
240
540
600
5. (3C) The cost, 𝐶, of getting your car
repaired is given by where ℎ is the
number of hours in labor the mechanic
works on your car, 55 is the cost per
hour the mechanic charges, and 190 is
the cost for the parts needed to repair
your car. This situation is represented
by 𝐶 = 55ℎ + 190. What would the
𝒚-intercept represent in this situation?
6. (5A) Solve the equation for 𝑥.
8. (8A) What are the zeroes of the
function 𝑦 = 𝑥 2 − 16
9. (6A) What is the range of
𝑓(𝑥) = 2𝑥 2 + 9?
8(𝑥 − 6) = −2𝑥 − 6.9
SPRING FINAL Review Algebra I 2016
10. (7A) The table below represents a
quadratic equation. Complete a new table
and fill in the gaps as
𝑔(𝑥)
𝑥
best you can.
𝑥
−1
2
5
6
9
10
12
14
𝑔(𝑥)
−55
−16
5
8
5
0
−16
−40
What are the zeros?
11. (6C) Write the quadratic equation of the graph below in vertex form.
𝑓(𝑥) = 𝑎(𝑥 − ℎ)2 + 𝑘
12. (7C) Write an equation for the
function g(x) in vertex form. It is
𝑓(𝑥) = (𝑥 − 8)2 + 10 translated 2
units up and 5 units left.
13. (7B) A quadratic function 𝑓 has
𝑥-intercepts at −6 and 2. Write a
quadratic function in standard form to
represent this situation.
What is the AOS?
14. (7A) Between what two numbers would
I find the positive zero of this parabola?
Between what two numbers would I find the
negative solution?
15. (9C) The value of a boat is
depreciating at a rate of 7% per
year. In 2004, the boat was worth
$192,000. Find the worth of the
boat in 2013.
16. (9C) Suppose you deposit $500 in a savings account that pays .5% interest
compounded monthly. Write an exponential function in the form 𝑦 = 𝑎𝑏 𝑥 that
models the amount of money in your savings account for any month, x?
How much would you have in 2 years?
SPRING FINAL Review Algebra I 2016
17. (11B) Find the area of a square with
a side length of:
18. (11B) Simplify the following
expression:
1
6𝑥 7 𝑦 2 z−1
30𝑥 4 𝑦 2 𝑧 −4
(81𝑎6 𝑏 4 𝑐10 )2
inches.
19. (10E) The base of a right triangle
is 4 inches less than twice its height.
If the area of the triangle is 48 square
inches, write an equation in standard
form to find the height of the triangle
in inches?
20. (7C) Given the following quadratic equations: 𝑓(𝑥) = −𝑥 2 + 64
𝑔(𝑥) = −2𝑥 2 − 51
ℎ(𝑥) = 𝑥 2 + 14
1. Do they have the same y-intercept?
2. Do they have the same axis of symmetry?
3. Do they have the same vertex?
4. Do they have a max or a min vertex?
1
22. (9D) The function 𝑓(𝑡) = 300(4)𝑡
represents the number of Moose in
Yellowstone park after t years. If this
function is graphed on a coordinate grid,
what would be the meaning of the
𝑦 −intercept?
23. (10D) Simplify the following
expression:
25. (7C) Identify the transformations of
the graph of the parent function
𝑓(𝑥) = 𝑥 2 needed to obtain the graph of
𝑔(𝑥) = −3(𝑥 + 2)2 + 4.
26. (8A) What are the solutions to the
quadratic equation:
𝑦 = 3𝑥 2 − 7𝑥 − 7 ?
24. (8A) What is the solution to:
5𝑥 2 − 14𝑥 = 3
(3𝑥 − 2)(5𝑥 + 7)
27. (10E) The area of a rectangular
piece of wood is represented by:
2𝑟 2 − 13𝑟 + 21.
Find the dimensions of the piece of
wood.