Two Step Equations
Solve for x.
8=3x-6
X= 14/3
Given g(x)= -4x +3. Find g(0).
What do M and B stand for in a linear equation?
M= Slope
B= y-intercept
What does each sign stand for?
<, >, ≤, ≥
less than, greater than, less than or equal to, greater than or equal to.
What do A and B stand for in an exponential equation?
A= Y-intercept/ initial value
B= Multiplier
manipulate the equation to get x by itself.
3x+2=14
X=4
f(x)=2x+1, find f(3)
F(3)=7
Find B. A line passes through the points (0,3). What is the Y-intercept of the line?
B= 3
Solve for b.
-b + 7 ≤ 4
b ≥ 3
Find the y-intercept (initial value) of the function.
f(x)=10 (1/2)^x
0,10
5 + 14x = 9x - 5
X= -2
f(x) = 2x+4 for f(x)=5
f(1/2)=5
Find M. A line passes through the points (3,9) and (0,6). Find the rate of change.
M=1
3r - 17 ≥ 2r + 14
R ≥ 31
Write a function to model a population of 500 increasing by 1% each year.
y=500(1.01)^x
13 + 6x = 6x + 17
No solution
Evaluate f(x) = x - 11 for f(4).
f(4)= -7
What is the equation of the line that passes through the point (0,7) and has a slope of -1.
Y=-x+7
3(2x + 4) > 4x + 10
X > -1
Josue purchased a car for $22,900. The car depreciated at an annual rate of 17%. Which of the following equations models the value of Josue's car after 5 years?
A=22,900(0.83)^5
Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left.
Find the number of friends at Jack's party.
X=16
Given f(x)= -x + 5, solve for x when f(x)=-10
f(15)= -10
Turn the equation into slope-intercept form.
4x-8y=16
y=-1/2x-2
Victoria has a points card for a dutch bros. She receives 20 reward points just for signing up. She earns 14.5 points for each visit to dutch bros.
She needs at least 180 points for a free drink. What is the least number of visits she needs to make in order to earn a free drink?
12 is the least number of visits.
Ricardo invests $4000 in a bank where the interest is compounded monthly. Using V=4000(1.07)^x, what is ricardo's annual interest rate?
7%