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Find the Solution: Equations
Find the Solution: Inequalities
Verbal Expressions
Word Problems
100
30 = 6x
Divide each side by 6
100
9x - 1 = 8
x = 1
100
Solve and graph x - 7 > 16
x > 23
100
Twelve less than 2 times a number is equal to 15 minus 7 times the number.
2x - 12 = 15 - 7x x = 3
100
Find the perimeter of a rectangle with a length of 18cm and a width of 7cm.
50 cm
200
22 = 6x - 8
Add 8 to each side
200
-3y - 7 = -31
y = 8
200
4x < 40
x < 10
200
Ten plus 6 times a number is equal to 5 less than the number.
10 + 6n = n - 5 n = -3
200
You have two summer jobs. In the first job you earn $13 an hour and work 20 hours a week. In the second job you earn $10 an hour and can work as many hours as you want. If you want to make no less than $390 per week, how many hours per week must you work at the second job?
13 hours
300
x + 22 = 7x - 8
Subtract x from each side or add 8 to each side
300
n + 2 = -4 + 2n
n = 6
300
5x - 10 > 30
x > 8
300
5 plus a number is at least 6.
5 + n > 6 n>1
300
An employee makes $12 an hour plus $0.60 for every unit produced during the hour. The employee earned a total of $30 during the first hour. How many units did they make?
18 units
400
-3x + 18 + 4x + 4 = 7x - 8
Combine like terms
400
6n + 9n - 6 = -24 + 6n
n = -2
400
t/-4 < 5
t > -20
400
A number minus 8 is no more than -3.
n - 8 < -3 n < 5
400
A triangle has a perimeter of 33 inches. The side lengths are as follows: x, x+4, 7. Find the value of x.
x = 11
500
-3(x - 6) + 4(x + 1) = 7x - 8
Distributive Property
500
5(z + 1) = 5z + 2
No Solution
500
(x-6)/3 > 8
x > 30
500
six times a number is less than - 18
6n < -18 n< -3
500
Your parents give you $20 a week for allowance. You also mow lawns for $10 an hour. If you want to have at least $300 by the end of the month, how many hours do you need to spend mowing lawns?
22 hours