Expressions
Distribute
-3(L - R + 6)
-3L + 3R - 18
7 + x = 4
What is x = - 3
2x + 5 > 15
What is x > 5
What kind of line would you draw if you had the following: x ≤ 6
Closed Dot at 6, going to the Left
To get the variable by itself on one side of an equation.
Isolate
Isolating
What is the inverse operation to division.
Multiplication
0.75m - 6 + 1.75m - 12
2.50m + -18
-5m = 255
What is m = -51
x/6 + 3 < 6
What is x < 18
What kind of line would you draw if you had the following: x > -9
Open Dot at -9
To undo an operation you have to use the _________?
Inverse
Opposite
What could be a possible first step to solving
3(f + 2) < 6
Undo The Equation by dividing both sides by 3.
OR
Distribute the 3 into the expression (f+2) by multiplying.
Simplify
3/5q + q + 7
1 3/5q + 7
84 + 2p = 400
400 - 84 = 316
316 divide 2 = 158
p = 158
-3x + 7 ≥ 19
What is x ≤ -4
What kind of line would you draw if you had the following: x > -2 or x ≤ -4
Open Dot at -2, going to the Right
Closed Dot at -4, going to the Left
The number that multiplies by a variable.
Ex) 4x in which the 4 would be the ______
Coefficient
What could be a possible first step to solving
-1/4c > 100
Undo the fraction by multiplying both sides by the reciprocal of
-1/4
Compare Which Is Greater For All Positive Values, q.
3 - 2t or 2 - 3t
3 - 2t is because the constant of 3 starts with a higher value.
-8 - 0.75m = 7
-8 - 0.75m = 7
Add 8 To Both Sides
-0.75m = 15
Divide -0.75 both sides
m = -20
-3(z + 5) > 15
z < -5
What kind of line would you draw if you had the following: 1< x < 7
Open Dot at 1, going to the Right and ending with an Open Dot at 7
To put/___________ a number into a variable.
Substitute
When are the only time an inequality sign changes directions.
When multiplying or dividing both sides by a negative.
OR
When reversing the inequality around and changing the sides of a variable.
Are the following expressions equivalent?
5w + 6 + 5w + 6 + 5w + 6
3(5w + 6)
YES
Both simplify to 15w + 18
1/3z + 5 = 30
1/3z + 5 = 30
Subtract 5 both sides
1/3z = 25
Reciprocal x3 both sides
z = 75
4h + 2(h+8) < -14
h < 5
What kind of line would you draw if you had the following: 7 ≥ x > 3
Closed Dot at 17, going to the Left and ending with an Open Dot at 13.
A value that can be substituted for a variable to make an inequality true.
Solution
Which Step Is There An Error?
Step 1) -3f - 6 > 6
- 6 -6
Step 2) -3f > 0
div -3 div -3
Step 3) f < 0
Step 1) They did not use the inverse operation.