VOCAB
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What is a VARIABLE?
What is a letter used in place of a number
2c - 5 = 19
What is c = 12
five more than a number
What is n + 5
Simplify the expression
5(x+5)
What is 5x + 25
WHITEBOARD CHALLENGE
What is the first step in simplifying expressions?
What is combine like terms
What are LIKE TERMS?
What are terms that are the same
w - 5 + 6w = 72
What is w = 11
The sum of six times a number and eight is twenty six
What is 6x + 8 = 26
Simplify the expression
-3(2x + 1)
What is -6x - 3
When solving multi-step problems, we must do the INVERSE of what operation first?
What is addition/subtraction
WHITEBOARD CHALLENGE
How do you DISTRIBUTE in this example?
2(x + 3)
What is 2 times x plus 2 times 3
m + 6 = 55 - 6m
What is m = 7
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The difference of six times a number and five is thirty seven
What is 6x - 5 = 37
WHITEBOARD CHALLENGE
Factor the expression
3x + 12y
What is 3(x + 4y)
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How do you keep an equation balanced?
What is if you add, subtract, multiply, or divide one side, you must do the same to the other side to maintain equality.
Define INVERSE
What is the opposite operation
WHITEBOARD CHALLENGE
2(7h + 3) = -36
What is h = -3
ten added to the quotient of a number and five is fifteen
what is x/5 + 10 = 15
Factor the expression
20𝑥+35
What is 5(4x + 7)
How do we "rid" of a denominator?
What is multiply both sides by the denominator
What must an EQUATION have to be an EQUATION?
What is a variable, numbers, an operation and an equal sign
2/3 (6x - 15) = 18
What is x = 7
WHITEBOARD CHALLENGE
seven times the difference of 8 and a number is more than twenty eight
What is 7(x-8) > 28
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Factor the expression
−4𝑥𝑦−12𝑥𝑧+20𝑥𝑤
What is -4x(y + 3z - 5w)
OR
4x(-1y -3z + 5w)
What is the goal of solving equations?
What is to get the variable (like 'x' or 'y') by itself on one side of the equation.