multiplication as the inverse operation to isolate the variable - In step 1, the equation is rearranged by using the inverse operation of multiplication to isolate the variable. 24 is multiplied by both 34 and x.
distributive property - In step 2, the distributive property is applied to simplify the equation. The terms inside the parentheses are multiplied by the 24 outside the parentheses.
subtraction as the inverse operation to isolate the variable - In step 2, subtraction is used as the inverse operation to simplify the equation by getting rid of the 816 on the left side.
combine like terms - In step 2, the terms on the right side of the equation are combined by subtracting 816 from 1200.
addition as the inverse operation to isolate the variable - In step 3, addition is used as the inverse operation to simplify the equation by getting rid of 816 on the right side.
division as the inverse operation to isolate the variable - In step 4, division is applied to solve for x by dividing both sides of the equation by 24.
To solve the equation: 24(34+x)=1,200
, give the reasons for each of the given steps.
What was done to the previous step to get to the current equation?
step 1. 816 + 24x=1200
step 2. 816-816 +24x =1200 - 816
step 3. 24x=384
step 4. x=16
answers
multiplication as the inverse operation to isolate the variable
distributive property
subtraction as the inverse operation to isolate the variable
combine like terms
addition as the inverse operation to isolate the variable
division as the inverse operation to isolate the variable
5 answers
there should only be one answer for each step
I apologize for the confusion. Here are the correct answers for each step:
Step 1: The equation is multiplied by 24 to distribute it to both terms inside the parentheses.
Step 2: The equation is simplified by subtracting 816 from both sides to isolate the variable term.
Step 3: The equation is simplified by combining like terms on the left side, which results in 24x on the left side.
Step 4: The equation is solved by dividing both sides by 24. This isolates the variable x and gives the solution x = 16.
Step 1: The equation is multiplied by 24 to distribute it to both terms inside the parentheses.
Step 2: The equation is simplified by subtracting 816 from both sides to isolate the variable term.
Step 3: The equation is simplified by combining like terms on the left side, which results in 24x on the left side.
Step 4: The equation is solved by dividing both sides by 24. This isolates the variable x and gives the solution x = 16.
Simplify: −4(2x+5)
To simplify the expression -4(2x + 5), we will use the distributive property.
Step 1: Apply the distributive property by multiplying -4 with each term inside the parentheses.
-4(2x + 5) = -4 * 2x + (-4) * 5
Step 2: Simplify each term by multiplying.
-4(2x + 5) = -8x + (-20)
Step 3: Combine like terms.
-4(2x + 5) = -8x - 20
Therefore, the simplified expression is -8x - 20.
Step 1: Apply the distributive property by multiplying -4 with each term inside the parentheses.
-4(2x + 5) = -4 * 2x + (-4) * 5
Step 2: Simplify each term by multiplying.
-4(2x + 5) = -8x + (-20)
Step 3: Combine like terms.
-4(2x + 5) = -8x - 20
Therefore, the simplified expression is -8x - 20.
1 answer