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Lesson 2: Solving Multi-Step Equations — Practice Questions

  1. 1. Solve the equation for $x$: $4(x-5) = 12$. The value of $x$ is ___.

  2. 2. Find the value of $z$ that solves the equation $4(z+3) = 2z + 18$. The value of $z$ is ___.

  3. 3. Solve for $x$ in the equation $10 - 3x = 4x - 2(3-x)$. If the answer is a fraction, write it as a/b. The value of $x$ is ___.

  4. 4. What is the value of $m$ in the equation $4(m-1) + m = 2(m+4)$?

    • A. 4
    • B. 6
    • C. 2
    • D. 12
  5. 5. Solve the equation $2(x+8) = 10$. The value of $x$ is ___.

  6. 6. Simplify the algebraic expression by distributing and combining like terms: $10 - 3(x + 2)$. The simplified expression is ___.

  7. 7. Which expression is equivalent to $5(y - 3) - (y + 4)$ after simplifying?

    • A. 4y - 19
    • B. 4y - 11
    • C. 6y - 19
    • D. 5y - 11
  8. 8. Simplify the expression $2(4n + 3) + 3(n - 1)$. The simplified expression is ___.

  9. 9. What is the result of simplifying the expression $12 - 4(z + 2)$?

    • A. -4z + 4
    • B. -4z + 10
    • C. 8z + 16
    • D. 8z + 24
  10. 10. After distributing and combining like terms in the expression $7(k - 2) - (k - 5)$, what is the simplified result? ___