Vocabulary
What is the variable in 3f + (-4)
f
When solving an equation what is the first step before combining like terms?
Distributing
Which terms in this expression could be combined?
2x + 9y -10 + x - 8c
2x and x
Solve:
2.5x - 4 = 8
x = 4.8
3(3x + 4) - 9 = 27
What operation would you use to UNDO or GET RID OF multiplying by a fraction?
divide by the fraction
Solve:
3x + 9x - 4x + 9 = 33
x= 3
How many solutions are there to an equation when you end up with a true statement (both sides are the same)?
Infinitely many solutions
Distribute, then simplify as much as possible:
-(3x + 4)
-3x -4
When you have decimals in the problem, like below, how does this affect how you solve the problem?
2.2x+5 = -7+13.25x
not at all
there is no change in how you solve this
Jimmy sells submarine sandwiches. He sells each sandwich for $6 and offers free delivery. John sells submarine sandwiches for $4.50 each and charges $2.75 for delivery. Write an equation to model the number of submarine sandwiches, s for which both Jimmy and John charge the same amount.
6s = 4.50s + 2.75
What is the coefficient of x in this expression: 3(x - 4)
1
When solving an equation, this step is done after "distribution" and before "collect the variables one one side"
Combine Like Terms
What should you do first, when trying to solve this for x?
5x + 7 = 2/3x + 15
collect the variables on one side
Solve:
10m = 5 (3m + 2)
m = -2
How many solutions are there to an equation when you end up with a false statement?
No solution
Distribute, then simplify as much as possible:
-2x(4 + 3) -3(x - 5)
-17x +15
3x - 4y + x -4x + 7y
Solve.
1/2x + 3 = 3/4 - 2x
-0.9 or -9/10
Solve:
4(x-9)-2x = -3x+14
x = 10