Strategies
"What you do to ___ ____, you do to the other"
Equal Sign
Jane and her 3 friends spent $48 at the movies. They each bought a ticket and shared an $8 bucket of popcorn.
Does this situation represent an equation or an inequality?
equation
What is the first step when solving for:
3x – 8 = 7
add 8 to both sides of the equal sign
Identify each inequality symbol.
>
<
≥
≤
> greater than
< less than
≥ greater than or equal to
≤ less than or equal to
The inequality, 4x + 5 > 21, which in word form is “four times x plus 5,” is _____ 21
greater than
Equal Sign
Jane and her 3 friends spent $48 at the movies. They each bought a ticket, and they shared a bucket of popcorn for $8.
What is the equation that shows the cost Jane and her friends paid for each ticket, x?
4x + 8 = 48
divide by 4, since it is the inverse of multiplication
What is the first step when solving for the inequality:
2x + 9 ≥ −11
subtract 9 from both sides of the equal sign
An _____ is a mathematical sentence that uses an equal sign (=) to show that quantities are the same.
equation
When solving an equation or inequality I can draw a ____ around the _____
box
variable, x, or letter
At the fair gate, Sidney paid a $6 entry fee and purchased 2 tickets with a twenty-dollar bill. Sidney received change.
Does this situation represent an equation or an inequality?
Inequality
Solve for x:
3x – 8 = 7
x = 5
Solve for the inequality:
2x + 9 ≥ −11
x ≥ -1
An ______ is a mathematical sentence that uses symbols like ≤, <, >, and ≥ to compare quantities.
inequality
To isolate the variable (x or letter), I need to do the ___ operation.
At the fair gate, Sidney paid a $6 entry fee and purchased 2 tickets with a twenty-dollar bill. Sidney received change. What is the inequality that would represent the cost of each ticket?
2x+6 < 20
Which equation makes x = −6 true?
A. 2x + 5 = 15
B. 3x + 6 = −12
C. 2x + 6 = 12
D. 2x + 2 = 22
B. 3x + 6 = -12
Solve for p.
6p + 20 ≤ 50
The "inverse" operation means...
"opposite" operation
If I have a number next to my variable (example: 4x), I need to ___.
divide
Jane and her 3 friends spent $48 at the movies. They each bought a ticket and shared an $8 bucket of popcorn.
How much did Jane and her friends pay for each ticket?
Each ticket cost $10
Which equation makes x = 6 true?
2x + 6 = 15 2x + 6 = 18
2x + 6 = 18
Solve for x.
65 – 3x ＜ 29
x > 12
An unknown value represented using a letter, mostly seen as x.