Solving Equations
3x + 4 = 22
x = 6
Solve for y
y + 2x = 10
y = -2x + 10
4x + 3 > 15
x > 3
What is the slope of this line?
y = 2/3x - 5
2/3
Solve f(x) = 2x + 7 for f(2)
f(2) = 11
2x - 10 = 12
x = 11
Solve for y
3x + y = 15
y = -3x + 15
7x - 4 < 17
x < 3
Where would you place the first dot when building this graph?
y = 5x + 4
(0,4)
Solve g(x) = 9x - 4 for g(5)
g(5) = 41
4x + 2x - 5 = 25
x = 5
Solve for y
8x + 2y = 16
y = -4x + 8
9 - 3x ≤ -12
x ≥ 7
A karaoke company charges $10 per hour for the rental, plus a one-time fee of $35 for the machine.
Write an equation to represent this situation.
y = 10x + 35
Solve h(x) = -3x + 5 for h(-2)
h(-2) = 11
10 - 4x + 3 = 17
x = -1
Solve for y
-4x + 5y = 20
y = 4/5x + 4
5x - 3 < 4x + 1
x < 4
Johnny and his friends are going to the movies. Tickets are $8 per person and they will spend $20 on popcorn. They have a total of $80 to spend at the movies.
Write an equation to represent this situation.
8x + 20 = 80
Ivy uses the function f(x) = 60x + 15 to determine the number of miles she has traveled after x hours on the road.
Use the function to evaluate f(5). Interpret the meaning.
f(5) = 315
After 5 hours, she has traveled 315 miles.
7x + 5 = 4x - 7
x = -4
Solve for y
3x - 8y = 24
y = 3/8x - 3
14 - 3x ≥ -12 + 10x
x ≤ 2
4x + 6y = 50
Ivy uses the function f(x) = 60x + 15 to determine the number of miles she has traveled after x hours on the road.
Use the function to evaluate f(8). Interpret the meaning.
f(8) = 495
After 8 hours, she has traveled 495 miles.