One-Step
This operation is the inverse of multiplication.
What is division?
2x - 6 = 14
The first operation we need to do.
What is add 6 to both sides?
3x - 6 = -4x + 7
The first step we need to do.
What is group x terms on the same side of equal sign?
(Also accept +4x both sides or -3x both sides)
3(2x - 7)
Needing to be multiplied to simplify.
What is 3 times 2x and 3 times -7?
A number take away 4 is 3.
What is 7?
The operation needed to solve for x.
x + 7 = 22
What is subtract 7?
y/-7 + 3 = 17
The second operation we need to do to both sides.
What is multiply by -7?
When we verify questions with an x on both sides, we could put the solution for x in just one of them or in both spots. Correct process for verification.
What is putting the solution for x in both spots?
15x - 7 + 20x - 2.5 + 1 = 12
Correct grouping of like terms to simplify.
What is 35x - 8.5 = 12?
A number divided by 6 is -3.
What is -18?
y/15 = -3
The solution for y.
What is -45?
-2x + 6 = -16
The solution.
What is x = 11?
2x + 6 = 3x
The solution.
What is x = 6 ?
How we verify our solution for a linear equation.
What is taking the number you got for x and substituting where x's are and checking that both sides are equal?
A square has a side length of (x + 2) and a perimeter of 20.
The side length can be calculated.
What is 3?
(3/4)(x) = -6
The solution for x.
What is -8?
(-2/3)(x) + 5 = 1
The solution.
What is x = 6?
-14x - 5 = 16x +15
The solution.
What is x = 2/3 ?
A student solves 3x + 8 = -6x - 1 and finds that x = -1.
The result of verifying this solution.
What is 3(-1) + 8 = -6(-1) -1?
or what is -3 + 8 = 6 - 1?
or what is 5 = 5?
Plan A: 14 + 3x
Plan B: 12 + 4x
Plan that is cheaper if x = 3.
What is Plan A?
12 = 8 - n
+8 +8
20 = - n -----> -20 = n
The mistake the student made.
What is adding 8 instead of subtracting 8?
(15 - 6x)/3 = -3
The solution.
What is x = 4?
(x/7) + (3/7) = (3x/14) - (9/14)
The solution.
What is x = 15?
For the equation 4 - x = 7, a student found that x= -3. They verified like this:
7 - (3) = 4 ----> 4 = 4 :)
The two mistakes they made.
What is rearranging the original question and subbing in 3 instead of -3 ?
I want to rent an e-bike. Rentals A is $20 plus $4 per hour. Rentals B is $12 plus $8 per hour.
The rental hours that would make the two plans equal cost.
What is two hours?