Math Problem Statement
A number g is decreased by 23 and then multiplied by 0.5 the result is 8 more than twice the number g
Solution
Let's denote the number .
According to the problem, the sequence of operations can be expressed as follows:
- is decreased by 23:
- The result is then multiplied by 0.5:
- This result is equal to 8 more than twice the number :
We can set up the equation:
Now, let's solve this equation step-by-step.
Step 1: Expand the left side of the equation
Step 2: Set the expanded equation equal to the right side
Step 3: Move all terms involving to one side of the equation and constants to the other side
Step 4: Simplify both sides
Step 5: Solve for by dividing both sides by -1.5
So, the value of is .
Would you like more details or have any questions? Here are some additional related questions for practice:
- If were increased by 10 and then divided by 2, what would the new expression be?
- What is when ?
- Solve .
- If the equation were , what would be?
- What is the value of if ?
- Find if .
- What is the solution to ?
- If is decreased by 15 and then multiplied by 3, how would you write that expression?
Tip: When solving equations, always isolate the variable on one side by using inverse operations to simplify step-by-step.
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Math Problem Analysis
Mathematical Concepts
Equations
Arithmetic operations
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9