Ax + B = C or A=B and A + C = B + C --- ex: 2x + 3 = 5
What is the addition property of equality
100
-6x + 5 = 17
What is x = -2
100
A number minus two equals 23
What is x - 2 = 23
100
A, B, and C represent real numbers ... A < B and A +B < B +C have the same solutions
What is the addition property of inequalities
100
Solve: 3x < -18
What is x < -6
200
A = B and AC = BC as long as C does not = 0
What is multiplication property of equality
200
4(k -3) - k = k - 6
What is k = 3
200
Three times a number added to 6 is eighteen
What is 6 + 3x = 18
200
A, B, & C represent real numbers and C does not equal 0 and...
C is positive ... A BC
What is the multiplication property of inequality
200
-4x ≥ 8
What is x ≤ -2 --- Reverse the inequality symbol because you are dividing by a negative number
300
-x = -17 = (-1)(-x) = -17(-1) = x = 17
What is the process to remove a negative variable from an answer. --- You can also "flip" the signs on both sides of the equal sign.
300
2(p + 3) = -3p + 10
What is p = 4/5
300
Four times a number minus seven equals fifty added to the number
What is 4(x-7) = x + 50
300
The notation for showing that a number is less than or greater than another number and the notation for showing that a number is less than or equal to or greater than or equal to another number
What is x < y and x > y and x ≤ y and x ≥ y
300
3x + 2 - 5 > -x + 7 + 2x
What is x > 5
400
Simplify sides separately --> Isolate the variable term --> Isolate the variable
What are the steps for solving a linear equation
400
7 - 2x + 5x = -2(-3x + 4)
What is x = 5
400
One-third of a number added to the number equals seventy-six
What is x + 1/3x = 76
400
What you must do to the inequality symbol when dividing an inequality by a negative number
What is flip/reverse the symbol
400
Interval notation for x > 5
What is (5, ∞)
500
Multiply each term/fraction in the equation by the lowest common denominator (LCD)
What is how to remove fractions from a linear equation
500
2/3x -1/2x = -1/6x - 2
What is x = -6
500
The equation for a board is cut into 3 lengths. The middle board is equal to a number, the shortest board is ten less than the number, and the longest is twice the number. The board is 70 inches long.
What is (x-10) + x + 2x = 70
500
[----------------│------->
-4 0
What is the graphing solution of a linear inequality