First here are the 3 definitions you should know about algebra.
Coefficient- The number that's multiplied by a variable in an equation.
eg.) 2x + 1= 9
Constant- The number that doesn't change it's value
eg.) 2x + 1=9
Variable- A letter or symbol representing a number
eg.) 2x + 1=9
2 step multiplication
4x + 3=23
First thing you do is isolate the variable
4x + 3 - 3=23 - 3
You cancel the constant by using zero pairs
4x = 20
4 4
Next you divide both side by it's coefficient.
x= 5
So, now you know what x is. Now you verify.
4x + 3=23
Always write the equation.
4(5) + 3=23
Replace the x with 5.
20 + 3=23
Next I did 4(5) which is 20.
23=23
You always do that in the end when you verify.
Here's a link you could go to about 2 step multiply equations.
2 step division
x + 5=8
2
First thing you got to do is isolate the variable by using a zero pair
x + 5 -5=8 -5
2
Next you multiply the variable and do the same thing on the other side.
(2)x = 3(2)
2
x=6
Now you verify it.
Always remember to write the equation down.
x + 5 = 8
2
Then, you substitute the x with the 6.
6 + 5= 8
2
Divide the coefficient.
3+5=8
And then you verify it by adding it.
8=8
And that's how you verify.
Here's a link to know more about 2 step division.
Distributive property
2 (x -1) = 6
The first thing you do is multiply the constant with the variable by it's coefficient.
2 (x-1) =6
x-1
x-1
And then you will have
2x - 2 =6
The next you will do is solve it just like a 2 step multiply
2x -2 =6
2x -2 +2 =6+2
2x = 8
2 2
x=4
2x -2 =6
2(4) -2=6
8 -2 =6
6=6
That's how you would model it.
Here's a link to learn more about Distributive Property.
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