Three times a number increased by seven is fifty-two
3n + 7 = 52
4a - 10 = 42
a = 13
A letter used to represent an unknown number
variable
When solving 2-Step equations, which operations should you UNDO first? (addition and subtraction or multiplication and division)
addition and subtraction
Which inverse operation should you use to solve for m? 4m = 100
What is division
Five times a number decreased by eleven is nineteen
5x - 11 = 19
8x - 52 < -100
x < -6
What is the difference between an Expression, Equation, and Inequality?
Expression: Math sentence using numbers, operations, and/or variables.
Equation: Uses an equal sign (=) to show two expressions are equal.
Inequality: Uses an inequality symbol
(<,<=, >, >=)
to compare two expressions.
When graphing an inequality with a > symbol, will the circle be shaded in or not shaded in?
Not shaded in
Which inverse property should you use to solve for g? g/3 = 18
What is multiplication
Thirteen more than four times a number is negative ninety-one
4n + 13 = -91
n/5 + 6 = 2
n = -20
What does it mean to Substitute for a Variable?
What does it mean to Isolate a Variable?
Substitute: Plug in a value for the variable. (check step)
Isolate: Get your variable by itself.
Jimmy solved an inequality and his solution was
x > 26. He needs to graph his solution on a number line. Which direction will his line go?
To the right
D 25w + 200 > 750
-2x + 9 > 25
x < -8
What are Inverse Operations?
Performing the OPPOSITE operation to UNDO
Multiplying opposite of dividing
Adding opposite of subtracting
When multiplying or dividing both sides of an inequality by a negative number, what happens?
The inequality symbol flips
What is a Zero Pair?
The sum of two numbers that equal ZERO. (They cancel each other out)
7 + -7 = 0