Literal Equations
2x + 3y = 12. What do you need to do first to solve for x?
Subtract 3y from both sides
-3r < 10 - r
What is r > -5?
Solve 2x+5≤−3 or −3x+4<−11
x≤−4 OR x>5
A student’s school lunch account has a balance of -$12. The student adds the same amount of money each week and reaches a balance of $44 after 7 weeks. Write an equation to determine how much was added each week
-12 +7x = 44
or 7x -12 = 44
2(2t - 3) - 3 = 6t + 9
What is t = -9?
2(6 - x) < 4x
What is x > 2?
Solve 2x + 1 < 1 OR x + 5 > 8. Is 2 a solution to the inequality?
What is x < 0 OR x > 3; No, 2 is not a solution.
A phone company charges a monthly fee of $25 plus $6 for each gigabyte of extra data. If you want your bill to be no more than $61, how many gigabytes of extra data can you use?
you can use 6 gigabytes or fewer.
Solve m/n = p - 6 for n.
What is n = m/(p-6)?
7(x+2)-2x=2-3(x+4)
What is x = -3?
3x+4>−8 and 2x−5≤9
−4<x≤7
On the first day of the year, Diego had $700 in his savings account and started spending $35 a week. His brother Juan had $450 and started saving $15 a week. After how many weeks will the brothers have the same amount?
What is 5 weeks?
-4(y - 1) < 4y + 2
y > 0.25
Is 0 a solution to the compound inequality 4x−7≥9 OR −2x+6≥16
No, 0 is not a solution
An amusement park charges an admission fee of $18 plus $4 for each ride. If a student spends $45 total, how many rides can the student ride?
6 rides
Solve h = gk - jkm for k.
k = h/(g - jm)
5x + 13 - 2x + 4 = - (3x - 17)
x=0
Which is not a solution to the inequality:
28-7x ≥ -4(-7x - 7)
-4 -2 -1 0 5
5 is not a solution
Solve −10≤3x−1<11
−3≤x<4
A school club already has $125 saved. The club earns $15 for each car wash and wants to have at least $300. How many car washes must the club hold?
They need to wash 12 cars or more