Multi Step Equations
3(2x+1)+x=5x+6
x = 1
Is the set {(1, 2), (2, 4), (4, 5), (-1, 5)} a function?
Yes, every input has one output
input = x
output = y
3 burritos and 2 bags of chips cost $17
2 burritos and 4 bags of chips cost $20.
setup and solve the system of equations for the cost of 1 burrito and 1 bag of chips
burrito= $3
bags of chips = $5
Team A runs 5 laps in 4 minutes
Team B runs 4 laps in 3 minutes
After 12 minutes, who ran more and by how much?
Team B by 1 more lap
solve for < 2
97
4x+5=2(3x+1)
x = 3
Given (–1, 3) and (3, 7), write the slope-intercept equation.
solve for slope and the y-intercept.
y = 1x + 4
Write the equation in slope intercept form:
t-shirt sales
5 shirts = $65 plus shipping or 8 shirts = $92 plus shipping
y = 9x + 20
Your cylinder lip balm container has the following dimensions: What is the Volume?
use 3.14 for pi and round the the nearest whole #
height = 4.2 in, diameter = 2.4 in.
V = 3.14 (r2) (h)
V= 3.14 (1.22) (4.2)
V = 19 (approximately)
solve for < 1
45
William made $82 selling lemonade. His dad gave him $10 just for setting up, and he sold 12 cups. How much does he charge per cup?
y = mx + b
82 = m (12) + 10
72 = 12m
$6 = m
You earn $12/hour walking dogs, and you start with a $10 tip. Write an equation for your total earnings, y, after x hours.
y=12x+10
Solve the system: for x and y
y=2x+1
3x+y=16
x = 3
y = 7
During P.E. class 15 of 25 students chose to play basketball. What % chose to play something else?
40%
50
1
4 t-shirts = $80
6 = $120
What is the cost per shirt?
$20
A car rental costs $25 per day plus a one-time $40 cleaning fee. What’s the cost after 5 days?
y=25x+40
y= 25 (5) + 40
y = 165
Solve the system of equations for x and y:
6x+2y=18
−1x+y=1
x = 2
y = 3
You build a skateboard ramp:
base = 6 ft, slant = 10 ft. Find the height.
a2 + b2= c2
62 + b2 = 102
b = 8 ft
(3) ( x5) ( 4) (x3)
12 x8