Solving Equations
Solve for X.
3x + 10 = 22
x = 4
Solve the inequality for X.
6x - 6 > 36
x > 7
Write an equation for the following (do not solve):
A band is adding 4 members per day. They currently have 12 members. After how many days will the band have a total of 32 members?
4x + 12 = 32
Write an inequality for the following (do not solve):
The Huskies have scored 20 points and average 10 points per game. After how many games will the Huskies score at least 50 points?
20 + 10x is greater than or equal to 50
A temperature change occurred overnight. When going to sleep, the temperature was -6.2 degrees outside. When waking up, the temperature was 15.7 degrees. What was the change in temperature?
21.9 degrees
Solve for X.
14 + 5x = 64
x = 10
Solve the inequality for X.
40 + 2x < 20
x < -10
Write an equation for the following (do not solve):
You have $300 in your account and spend $15 per day. After how many days will you have $210 in your account?
300 - 15x = 210
Write an inequality for the following (do not solve):
A grocery store has 300 bags of chips and sells on average 15 bags of chips per day. After how many days will the chips have fewer than 70 bags remaining?
300 - 15x < 70
Purchasing 12 gallons of gasoline costs $28.80. What is the unit rate for the gasoline?
Unit Rate = 2.4
Solve for X.
41 = 7x - 8
x = 7
Solve the inequality for X.
15 + 3x is greater than or equal to 60
x is greater than or equal to 15
Write an equation for the following (do not solve):
There are a total of 12 turkeys being baked. You have baked 4 so far, and can bake 2 per hour. After how many hours will you finish baking the turkeys?
12 = 4 + 2x
Write an inequality for the following (do not solve):
After going to the mall, you have spent $40 and are spending on average $15 per store. After how many stores will you have spent no more than $150?
40 + 15x is less than or equal to 150
When buying bags of Takis, you can purchase 5 bags for a cost of $10.50. What is the constant of proportionality that relates the cost of Takis, y, to the number of bags, x?
k = $2.10 per bag
Solve for X.
-6x - 18 = 18
x = -6
Solve the inequality for X.
17 - 6x is less than or equal to -43
x is greater than or equal to 10
Write an equation for the following (do not solve):
Your pool has 100 gallons of water in it. It has a leak and is losing 8 gallons per hour. After how many hours will the pool have 4 gallons left?
100 - 8x = 4
Write an inequality for the following (do not solve):
A water tank fills up at a rate of 25 gallons per hour and currently holds 175 gallons of water. After how many hours will the tank hold more than 700 gallons of water?
25x + 175 > 700
Identify the constant rate of change and y-intercept for the problem: 3x + 4 = 10
m =
b =
m = 3
b = (0, 4)
Solve for X.
-91 = 37 - 2x
x = 64
Solve the inequality for X.
23 is greater than or equal to -7x + 9
-2 is less than or equal to x
OR
x is greater than or equal to -2
Write an equation for the following (do not solve):
There are a total of 150 students in the band program. If one class has 75 students and is losing 3 students per day.
150 = 75 - 3x
Write an inequality for the following (do not solve):
A savings account has $500 in it and you are spending $12 per day. After how many days will you have no more than $380?
500 - 12x is less than or equal to 380
Classify the following number (Natural, Whole, Integer, Rational):
-3/4
Rational