Solving equations
3(x + 5)
3x + 15
If Mark walks at a rate of 2 meters per second, how far will he walk in 2 minutes?
What is 240 meters?
The science club is selling puzzles to raise money. The supplier charges a one-time fee of $55 for each order and $10 for each puzzle. Write an equation using T for total cost and p for puzzles
T=55+10p
4(x - 2)
4x - 8
What is the coefficient of x in the equation y=4.5x + 18?
What is 4.5?
A sponsor will give a flat fee of $5 and then $2 for every mile you walk. write an equation an then figure out how much money will be raised by walking 20 miles.
What is y = 5 + 2x and $45 ?
-5(x + 9)
-5x - 45
Cost of t-shirt companies: C1 = 37 + n and C2 = 3.5n What is the better deal if you wanted to buy 27 shirts?
Company 1
Johnny grows tomato plants. His plants produce 8 each week. Write an equation to show this relationship AND how many plants will he have after 20 weeks?
P=8w (P=plants, w = weeks); 160 plants
4x + 10 > -18
What is x > -7?
7(2x + 4 - 6x)
14x + 28 - 42x or -28x + 28
The students in Miss Taylor's class raised money to buy books for their school. They raised $154. Each week they withdraw $14 to buy their books. Write an equation representing this situation AND how long before this class runs out of money?
y = 154-14x; 11 weeks
Bob received $100 from his grandparents when he was born. Each year, on his birthday, they give him $50 more. Write an equation for this situation and how much money will he have when he's 15?
M = 50b + 100 (M=money, b=year of birthday); $850
-6 < 3(x + 8)
What is x > -10 ?
Go the other way: 7x - 21
7(x - 3)
What is the y-intercept in the equation y = 2.5x + 35
(0,35)
A relationship that always go through the origin (0,0)
Proportional Relationships