Multi-Step Equations
3(x + 3) = 5
What is -4/3
2x+6=2x+6
What is infinitely many solutions
Explain how you know an equation has infinitely many solutions
What is when both sides are equal, when you can use any value for x and the equations balance
What are the steps to solve multi-step equations?
What is distribute, combine like terms, move variable, add or subtract, and multiply or divide
3x+4x+5=2x+10
What is x=1
2x-6=2x+6
What is No solution
What makes an equation have no solution?
What is when you have same number of variables and different number of constants
Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was $43.25. He had to pay a $7 entrance fee and $1.25 for every minute he was on the trampoline. How many minutes did they jump. Write and solve a solve the equation.
7+1.25x=43.25 x=29
3(x+2)+2=4x+2
What is x=6
3(x-4)=3x+4
What is No solution
What are inverse operations?
What is using opposite operations to work backwards to solve equations
You pay a one time fee of $60 to join the YMCA. Every month you buy x waters at the YMCA for $2 each. You spend a total of $94 at the YMCA each month. How many waters do you buy each month. Write and solve and equation.
60+2x=94 x=17
x + x + 3x+5=12
What is x=7/5
3x+2x+4=4x-1
What is x=-5 One solution
What is a constant?
What is a number that is by itself
Emma won 40 super bouncy balls playing horseshoes at her school's game night. Later, she gave two to each of her friends. She only has 8 remaining. How many friends does she have? Write and solve an equation.
2x+8=40 x=16
15x-15x+3x=2x+10
What is 10
3x+6y=3/5(5x+10y)
What is Infinitely Many Solutions
What is the number in front of a variable called?
What is a coefficient
Cole is having his car repaired. The mechanic said it would cost at least $375 for parts and labor. If the cost of the parts was $150 and the mechanic charges $60 per hour, how many hours is the mechanic going to be working on the car?
What is x > 3 hours and 45 minutes