To solve the equation: \large 24\left\langle34+r\right\rangle=1,200, give the reasons for each of the given steps. What was done to the previous step to get to the current equation?
\large 816+24r=1,200
\large 816-816+24r=1,200-816
\large 24r=384
\large r=16
Word Bank:
Multiplication as the inverse operation to isolate the variable addition as the inverse operation to isolate the variable combine Like Terms Subtraction as the inverse operation to isolate the variable division as the inverse operation to isolate the variable Distributive Property
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Blank 1: Multiplication as the inverse operation to isolate the variable
Blank 2: Subtraction as the inverse operation to isolate the variable
Blank 3: Division as the inverse operation to isolate the variable
Blank 4: Addition as the inverse operation to isolate the variable
So, after all this , the equation was simply
816 + 24r = 1,200 ?? , then
24r = 384
r = 16
Blank 1: Addition as the inverse operation to isolate the variable
Blank 2: Combine Like Terms
Blank 3: Subtraction as the inverse operation to isolate the variable
Blank 4: Division as the inverse operation to isolate the variable
Step 1: 816 + 24r = 1,200
Explanation: To get to this equation from the previous one, we first need to isolate the term with the variable 'r'.
Blank 1: Addition as the inverse operation to isolate the variable
Step 2: 816 - 816 + 24r = 1,200 - 816
Explanation: In this step, we cancelled out the 816 on the left side of the equation by subtracting it from both sides.
Blank 2: Subtraction as the inverse operation to isolate the variable
Step 3: 24r = 384
Explanation: By simplifying the right side of the equation, we have 1,200 - 816 = 384.
Blank 3: Combine Like Terms
Step 4: r = 16
Explanation: Finally, to solve for 'r', we divide both sides of the equation by 24.
Blank 4: Division as the inverse operation to isolate the variable