Solving Equations
Solve: 2(x-7) = -8
x = 3
Solve: -2x < 24
x > -12
Each movie ticket costs $4. If a movie theater made $108 in movie tickets, then how many tickets were sold?
27 tickets
Jacob has 4 weeks to make at least $60. How much does he need to make per week?
He must make at least $15 per week.
x is less than 50
x<50
Solve: 9x + 4 = 2x - 24
x = - 4
Solve: -8(x - 10) > -24
x < 13
Write an equation to represent the following:
If there are 420 middle school students and there are 20 students per class, then how many classes are there in the school?
20x = 420
Write an inequality representing the following:
Jamie has $20 to spend on a taxi ride home. If the cab ride costs a fixed fee of $2 and an additional $3 per mile, then for how many miles can she take the taxi?
2 + 3x <= 20
(<= meaning less than or equal to)
A number is greater than -10
x>-10
Solve:-3(x-5) + 6x = -x - 5
x = - 5
Solve: 9x - 4x + 5 < 21 + 4
x < 4
Write an equation to represent the following:
130 total people (students and adults) went to a museum on a school field trip. There were 10 groups of students and each group had one adult chaperone. How many students were in each group?
Equation: 10x + 10 = 130
Write an inequality for the following:
Eric's mom told him that he could spend no more than $20 at the book fair. If he wants to buy a pencil for $2, and each book costs $6, then how many books can he buy?
2+ 6b <= 20
(<= meaning less than or equal to)
Six less than a number is at least 15
x-6>=15
Solve: 20 - 4(2x+1) = -2x -6 - 4x
x = 11
Solve: (x/-2) + 6 < 7
x > -2
Write an equation to represent the following:
A bowling company charges $5 to rent shoes and then $3 per game. If Amy paid $14 total, then how many games did she play?
5 + 3x = 14
Write an inequality for the following:
In order to pass History class, your teacher has told you that you need more than 140 points. If each assignment is worth 5 points and you already have 15 points for participation, then how many assignments do you need to do?
5x + 15 > 140
Twice the sum of 6 and 4x is no more than 15
2(6+4x)<=15
Solve: 6x - 2(6 - x) = - 4
x = 1
Solve: -4(-1+2x) + x < 4x + x + 16
x > -1
Write and solve an equation to represent the following:
David spent half of his allowance going to the movies. He washed the family car and earned 9 dollars. What is his weekly allowance if he ended with 15 dollars?
x/2 + 9 = 15
x = 12
Write and solve an inequality to represent the following:
You are going shopping and have decided that you will spend less than $65. If shirts cost $10 and you buy a pretzel for $5, then how many shirts can you buy?
10x + 5 < 65
x < 6
Twice the difference when triple x is subtracted from 8 is less than 5 less than x
2(8-3x)<x-5