Linear vs Exponential
Decide whether the table represents a linear or exponential function and write the function.
x 0 1 2 3 4 5 6 7
y 2 5 8 11 14 17 20 23
linear
y = 3x + 2
For the arithmetic sequence, determine the values of 𝑎1 (1st term) and 𝑑 (common difference).
Then, write the next four terms.
12,15,18,…
a1 = 12 d = 3
21, 24, 27, 30
Factor 4x2 - 36
(2x+6) (2x-6)
Calculate the slope for 3x + 4y = 8
m = -3/4
Solve the following inequality
x - 11 > -2x + 1
x > 4
Decide whether the table represents a linear or exponential function and write the function.
x 0 1 2 3 4 5 6 7
y 3 6 12 24 48 96 192 384
y = 3(2)x
For the arithmetic sequence, determine the values of 𝑎1 (1st term) and 𝑑 (common difference).
Then, write the next four terms.
1/2, 1, 3/2, ...
a1=1/2 d=1/2
2, 5/2, 3, 7/2
Factor 3x2+ 10x + 8 Choose 1 answer
a. (3x+1)(x+8)
b. (3x+4)(x+2)
c. (3x+4)(6x+8)
d. (3x+4)(3x+4)(x+2)
b. (3x+4)(x+2)
Calculate the slope (1, -2) and (4, 8)
m = 10/3
Solve
1/4 a - 1/2 < -1 + 1/2 a
a > 2
Make a table for f(x) = 1/2 x + 8
with a domain of {-2, -1, 0, 1 ,2}
x -2 -1 0 1 2
y 7 7.5 8 8.5 9
State a1 (1st term) and r (common ratio) for the geometric sequence and write the next three terms.
-3, 9, -27, 81, …
a1 = -3 r = -3
-243, 729, -2187
Factor 2x2 - 3x - 9 Choose 1 answer
a. (2x-1)(x+9)
b. (2x+3)(6x-9)
c. (2x+3)(x-3)
d. (x-3)(2x-3)(2x-3)
c. (2x+3)(x-3)
Identify the slope and the y-intercept
y = -3x - 7
m = -3 b = -7
Jake plans to board his dog while he is away on vacation. Boarding house A charges $90 plus $5 per day. Boarding house B charges $100 plus $4 per day. For how many days must Jake board his dog for A to be less expensive than B?
d < 10 (if less than 10 days, A will be cheaper)
Decide whether the word problem represents a linear or exponential function and write the function
At the start of a carnival, you have 50 ride tickets. Each time you ride the roller coaster, you have to pay 6 tickets.
Linear
f(x) = 50 - 6x
Are the following arithmetic, geometric or neither?
1. 3, –3, 3, –3, ….
2. 1, 4, 9, 16, …
3. 25, 50, 75, 100, …
1. geometric
2. neither
3. arithmetic
Factor x2+ 2x - 24
(x+6)(x-4)
Identify the slope and the y-intercept
3x + 4y = 12
m = -3/4 b = 3
Select all that are solutions to the system of inequalities.
x + y > 2 4x + y ≥ −1
a. (0,0) b. (1,4) c. (0,2) d. (-1,3)
e. (2,0) f. (0,-1) g. (4,2) h. (25,40)
b, g, h
Decide whether the word problem represents a linear or exponential function and write the function
“A bank account starts with $10. Every month, the amount of money in the account is tripled.”
y = 10(3)x
Allen is on the football team this year but he has poor time management skills. His mother told him that he is off the team if he fails anything(<60) in school. On his first math quiz he earned a 90, then he eared an 86 and an 82 on his next two quizzes. If his grades continue at this rate, what will his quiz grade be on the 8" quiz? Will he still be on the team?
a1=90 d=4 an= 90 - 4(n-1)
n=8 = 90 - 4(8-1)
= 62
His grade is 62. He will be on the team
Solve x2 − 5x + 6
x = 2 x = 3
Identify the slope of the line perpendicular to
5x - 7y = 12
Identify the slope of the line parallel to
5x - 7y = 12
m = -7/5 perpendicular
m = 5/7 parallel
It costs Mike $0.50 for each juice and $0.40 for each water. He has $100 to spend each day to buy water and juices to sell. He wants to sell at least 200 items each day. If x is the number of juices and y is the number of waters, write a system of inequalities to model this situation.
0.50x + 0.40y ≤ 100
x + y ≥ 200