iscover the variable
and the operation(s).
"Let's see, I need to first discover the variable
in the problem. There is a variable after 4, so I will highlight it
yellow. There is another variable a after 2 and I will highlight it
yellow also. I also need to discover the operation signs. The first
operation in this problem is addition, and the second is subtraction.
I am going to circle the + and the - signs"
R ead the equation.
Combine like terms on each side
of the equation.
Figure out what the left side
of the equation equals.
"Now I need to combine like terms and figure out the
left side of the equation. Let's see 4a and 2a both have the variable
a, so they are like terms. 4a plus 2a equals 6a.I can also combine 9
- 3. Nine minus three is six. I know what the left side of the equation
equals, so now I will write the equation 6a+ 6 = 30."
the equation, or draw and check.
of how to draw the solution.
"Now I need to answer the equation. First I need
to subtract six from both sides.That leaves 6a on the left side
and 24 on the right side. 6a = 24 is the equation I need to solve.
That means that there are six groups of 'a' that all together equal
twenty-four. I will draw to find the answer to the equation. First
I need to draw six groups. Now I need to look at the other side
of the equation. The answer for this problem is twenty-four, so
I will draw twenty-four tally marks. Now I need to divide the twenty-four
tally marks equally among the six circles. When I put the twenty-four
tally marks equally in the six circles, each circle has four tally
marks in it. That means that I have six groups of four. So four
is variable a's value."
the answer for the variable.
"Let me check my answer. I have solved the equation
and discovered that the value for a is four, so I will substitute
4 for a in the equation.First I will combine like terms. 4a plus
2a is 6a, and 9 - 3 is 6. Now my equation is 6a + 6 = 30. I am
going to substitute four for the variable a. That means that 6a
is six times four, or twenty-four. Twenty-four plus six is thirty.
I have solved the equation correctly because I have thirty on
both sides of the equation"
substituting the value 4 for a makes the equation: