Justify
(DO IN ORDER)
(DO IN ORDER)
Given: -7 + 2x + 1 = -8x - 2(7 - 3x)
Step 1: -7 + 2x + 1 = -8x - 14 + 6x (Property: ?????)
Distributive Property
Solve for b:
A = (a + b)/2
b = 2A - a
-3x - 12 <= -9
x >= -1
Write an inequality:
You start with $52 in your savings account and deposit $27 each week. You want to buy a bicycle that costs $340. Write an inequality to represent the least number of weeks you can work to purchase the bike.
x = # of weeks
52 + 27x >= 340
Given: -7 + 2x + 1 = -8x - 2(7 - 3x)
Step 1: -7 + 2x + 1 = -8x - 14 + 6x
Step 2: 2x - 6 = -2x - 14 (Property: ?????)
Combine like terms
Solve for r:
I = prt
r = I/(pt)
Solve:
-3(k - 9) > 3k + 3
k < 4
Using the information from the 100 question:
(You should solve the previous problem.)
If you do this for 11 weeks, will you have enough to buy a bicycle that costs $340? Why?
Yes, because you would need to work for more than approximately 10.7 weeks.
Given: -7 + 2x + 1 = -8x - 2(7 - 3x)
Step 1: -7 + 2x + 1 = -8x - 14 + 6x
Step 2: 2x - 6 = -2x - 14
Step 3: 4x - 6 = -14 (Property: ?????)
Addition property of =
Solve for h:
S = 2pirh
h = S/(2pir)
Solve:
2(y + 6) <= 3y
y >= 12
Write an inequality:
Stephanie is saving money to buy a computer next year. So far she has saved $200. Write an inequality to show how much she needs to save each month for the next year so she has at least $1200 to spend on the computer.
200 + 12x >= 1200
Given: -7 + 2x + 1 = -8x - 2(7 - 3x)
Step 1: -7 + 2x + 1 = -8x - 14 + 6x
Step 2: 2x - 6 = -2x - 14
Step 3: 4x - 6 = -14
Step 4: 4x = -8 (Property: ?????)
Addition property of =
Solve for y:
ax + by + c = 0
y = (-ax - c)/b
Solve and graph:
2x - 4 < 2(3x - 1)
x > -1/2
Using the information from the 300 question, solve.
x >= 83.33
Given: -7 + 2x + 1 = -8x - 2(7 - 3x)
Step 1: -7 + 2x + 1 = -8x - 14 + 6x
Step 2: 2x - 6 = -2x - 14
Step 3: 4x - 6 = -14
Step 4: 4x = -8
Step 5: x = -2 (Property: ?????)
Division property of =
Solve for x:
P = (144x)/y
x = (Py)/144
Solve and graph:
7(x + 3) <= 4(x - 6)
x<= -15
Caleb is saving money to buy a bike. So far he has saved $150. Write an inequality to show how much he needs to save for the next 10 months to have at least $800 to spend on the bike.
1) Identify the variable.
2) Write the inequality.
3) Solve.
1) x = $
2 & 3)
150 + 10x >= 800
x >= 65