Expressions
What is a letter, like "x" called in math?
Variable
How do we solve an equation? Be specific.
Use inverse operations to isolate the variable
What operations do we need to undo first when solving a two step?
Addition or Subtraction
What is the first step in solving an equation 3(x+1) = 30?
Distribute! aka multiply through ( )
What is the process you should follow to write an equation? Most accurate and complete answer wins.
Underline the question, define a variable, create a word equation/organize information in the problem, then fill in your values.
What is the mathematical process called when we make shapes to simplify an expression like 4x - 2 + 7x?
Combining Like Terms
What is the first step to solve x + 3 = 5? Be specific.
Subtract 3 to both sides
What is the first step to solve 3x - 8 = 22?
Add 8 to both sides
Solve the equation 3(x+1) = 30
x = 9
An equation must contain 3 things: terms, operations, and __________________.
equal sign
Simplify -10x + 8 + 6x
-4x + 8
Solve -4 + x = 36
x = 40
-9 + 2x = -9
x = 0
Solve -2(4x + 6) = 48
x = -7.5
Big Back ordered 13 boxes of candy and a bucket of popcorn at the movies. If the popcorn was $3.20 and the total was $18.20, what was the price of 1 candy box? Write the equation.
13x + 3.20 = 18.20
Simplify -5(x - 3)
-5x + 15
Solve -7x = 63
x = -9
Solve x/7 - 1 = 1
x = 14
Solve 3/4(8 - 2x) = -21
x = 18
Damian is monitoring the temperature of a swimming pool. It is currently 86.8 and cooling 0.5 per minute. After how many minutes will it be 80.8 degrees? Write an equation.
86.8 - 0.5x = 80.8
Simplify x + 2(9 - 3x)
-5x + 18
Solve x/2 = 3
x = 6
Solve -1/5x + 6 = 10
x = -20
Solve 3(x + 1) - 23x = 103
x = -5
Mrs. Perkins hosts a birthday party for her son and 7 guests. She orders 2 cookies and a cupcake for each child. The cost of a cupcake is $2.75 and the total bill is $46. What is the cost of a cookie? Write an equation.
8(2x + 2.75) = 46