Equations
x + 6 = 24
x = 18
x - 3 > 12
x > 15
x - 16 = 32
-16 -16
x = 16
Should have added 16
What happens when you use a swear word in Ms. Sugarman's room?
Reset outside
What needs to be true for a graph to be proportional?
1) straight line
2) passes through the point (0,0)
3x = 63
x = 21
-4x < -20
x > 5
4x = 24
-4 -4
x = 20
Should have divided by 4 instead of subtracted
When you multiply 2 integers of the same sign, will the answer be positive or negative?
Positive
How do you find the constant of proportionality?
y/x
5x - 3 = 17
x = 4
6x + 4 < 70
x < 11
2(4x - 14) = -4
8x - 14 = -4
8x = 10
x = 10/8
Forgot to distribute all the way
When a number is next to a letter, what operation is taking place?
Multiplication
Write two equivalent expressions to the following:
5(3x - 4) + 12
Examples:
15x - 20 + 12
15x - 8
5(-4 + 3x) + 12
3(2x - 4) = 18
x = 5
-3 (4x - 2) < 78
x > -6
-4(x + 5) > -12
x + 5 > 3
x > -2
When you divide by a negative value, your symbol switches directions
If you subtract a negative integer from a positive integer, will the sign of the answer be positive or negative?
Positive
If you and your friends spent $42 after leaving a 8% tip. How much was the original cost of the meal?
$38.89
1/2 (3x + 7) + 2 = 10
x = 3
4(-3x + 6) - 2 < -122
x > 12
-8(x - 4) < -8
-8x -32 < -8
-8x < 24
x > -3
A negative multiplied by a negative is a positive!
True or False:
When you divide to solve an inequality, your symbol changes directions
False!
If you multiply or divide by a NEGATIVE to solve an inequality, your symbol changes directions
Natalie walked 3/5 mile in 1/2 hour. How fast did she walk, in miles per hour?
6/5 of a miles