Math Problem Statement

i need multiply choice qustion to write to step equation and choices on equations

Solution

Sure! Here's a multiple-choice question designed to test the ability to write and solve a step equation.

Question:

Solve for xx:

Equation:
3(x4)+5=203(x - 4) + 5 = 20

Choices:

a) x=9x = 9
b) x=8x = 8
c) x=10x = 10
d) x=7x = 7


Steps for solving:

  1. Distribute the 3 across the terms inside the parentheses.
  2. Combine like terms.
  3. Isolate the variable xx.
  4. Solve for xx.

Let me know if you'd like the solution or further explanations!

Here are some follow-up questions:

  1. How do you apply the distributive property in this equation?
  2. What happens when you combine like terms?
  3. How do you isolate the variable xx?
  4. How can you check your answer once you solve for xx?
  5. Can this equation be solved in a different way, using a different method?

Tip: When solving equations, always check your solution by substituting xx back into the original equation to ensure it satisfies the equation!

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Math Problem Analysis

Mathematical Concepts

Algebra
Step Equations
Distributive Property
Solving Linear Equations

Formulas

Distributive Property: a(b + c) = ab + ac
Solving for x in linear equations

Theorems

Distributive property theorem

Suitable Grade Level

Grades 6-8