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Linear Equations
Linear Equations
Ms. Bowlin
Bonus
Bonus
100
Is this a function?
{(8, 0), (-7, 4), (6, -11), (15, 4)}
Yes
100
Solve the equation for x.
x^2+6x+8=0
x=-4 and x=-2
100
Does this function represent exponential growth or exponential decay?
f(x)=2(5/3)^x
Exponential Growth
100
Solve the system.
x+y=3
x-y=1
(2, 1)
100
Find the median of the following data set.
1, 2, 3, 3, 4, 5, 6, 7, 7, 7, 10
5
100
Simplify the expression.
−4x−6−7y+2−6x−4+4y
-10x-3y-8
100
How many kids does Ms. Bowlin have?
2
200
Is this a function?
{(5, 6), (6, -2), (-7, 4) ,(5, -10)}
No
200
Solve the equation for x.
x^2-x=12
x=4 and x=-3
200
Does the following equation represent exponential growth or exponential decay?
f(x)=1/2(5)^x
Exponential Growth
200
Solve the system.
2x+y=5
x+2y=7
(1, 3)
200
Find the mean of the following data set.
1, 2, 3, 3, 4, 5, 6, 7, 7, 7, 10
5
200
Simplify the expression.
(3x^3-2x)+(4x^2+2x-7)
3x^3+4x^2-7
200
What is Ms. Bowlin's favorite color?
Green
300
f(x)=3/2x-15
f(34)=?
f(34)=36
300
Solve the equation for x.
2x^2-5=-9x
x=-5, 1/2
300
Identify the initial value and growth factor for the following function.
f(x)=100(2)^x
Initial value: 100
Growth factor: 2
300
Solve the system.
3x-y=25
2x+3y=-31
(4, -13)
300
A random sample of students was surveyed and asked to list their grade level and what movie genre they prefer. Results are shown in the table below. How many students were surveyed?
121 students
300
Simplify the expression.
2(5x+z-8y)-(y+2x-4z)
8x-17y+6z
300
What is Ms. Bowlin's favorite animal?
Beluga Whale
400
Given the following functions, how does f(3) compare to g(3)?
f(x)=5x^5
g(x)=12(5)^x
f(3)<g(3)
400
Rewrite the equation in standard form.
f(x)=(x+4)(2x-3)
f(x)=2x^2+5x-12
400
Lenny and George dream of raising rabbits and living off the land. Suppose Lenny and George start with 2 rabbits. After the first month, they have 6 rabbits. After two months, they have 18 rabbits. If this pattern continues, write an equation to represent the growth of the rabbit population.
y=2(3)^x
400
Solve the system.
y=5x+3
20x-4y=-12
infinitely many solutions
400
A survey stopped men and women at random to ask them where they purchased groceries, at a local grocery store or online. What percent of the people surveyed shop online? Round your answer to the nearest whole number percent.
about 29%
400
Solve the equation for x.
(x-6)/3=(2x+4)/2
x=-6
400
How long has Ms. Bowlin been teaching math?
11 years
500
Given f(x)=-70, solve for x.
f(x)=-2(x+15)-34
x=3
500
Rewrite the equation in vertex form and name the vertex.
f(x)=x^2-4x-1
f(x)=(x-2)^2-5
vertex: (2, -5)
500
A car loses 25% of it's value every year. If the initial value of the car was $35,000, write an equation to represent the remaining value of the car after x years.
y=35000(3/4)^x
500
Solve the system.
y=2x-1
2y-4x=6
no solution
500
A survey asked a random sample of students if they estimated they spent more or less than an hour a day on social media. What percent of the 8th graders estimated they spend less than an hour a day on social media? Round your answer to the nearest tenth of a percent.
about 60.4%
500
Solve the equation for x.
6(2/3x-2)=-7+2(9/2x-1)+3x
x=-3/8
500
How many countries has Ms. Bowlin been to?
7
US, Peru, Haiti, Romania, Hungary, Austria, Canada