Solving Equations
x+7=15
8
3x-4y=12
6x-8y=24
infinite solutions
f(x) = -3x + 7, this is the value of f(-4).
19
Four times a number increased by two is equal to thirty. What is the number?
7
What is an equation?
An equation is a mathematical statement showing 2 expressions are equal.
-2(y - 3) = -20
y=13
Is the ordered pair (3, -2) a solution to the following system?
y=2x-8
2x+3y=0
True on both
f(x)=1+4x3
(0,1)
A basketball team played 32 games. They won three times as many games as they lost. How many games did the team win?
24 games
A letter that stands for an unknown number
16 - 4x = 7x + 5
x=1
Solve the system using elimination:
3x+2y=16
7x-2y=4
(2,5)
Double !
h(x)=x−2
Find the domain?
[2,∞)
A person has 15 coins in their pocket consisting of dimes and quarters. The total value of the coins is $2.40. How many quarters and dimes do they have?
6 quarters and 9 dimes
What is a function?
A function is a rule or special relationship that assigns each input value to exactly one unique output value
3(2k - 4) + 4k = 18
k=3
Solve this system where substitution requires distributing a negative fraction
x=-1/2y+3
4x+3y=10
(-4,-2)
h(x)=x2−4x+9
Find the range?
[5,∞)
Dan can shovel a driveway in 30 minutes, and Jay can shovel it in 20 minutes. How long will it take them to shovel the driveway together?
12 minutes
What is a expression?
A group of numbers,variables, and operations that shows a math phrase but has no equal sign
32x-1=27
x=2
Triple
1/2x + 1/3y =4
3x-y=9
f(x)=1/x-3+1
Find the domain and range?
Domain=3
Range=1
Pipe A can fill an empty pool in 4 hours. Pipe B can fill the same pool in 6 hours. If both pipes are opened together, how long will it take to fill the pool?
What is a asymptote?