Solving Equations: One-Step, Two-Step & Multi-Step

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Questions and Answers

What is the value of $x$ in the equation $x - 11 = -5$?

  • 6 (correct)
  • 16
  • -16
  • -6

Solve for $y$ in the equation $5.1 = y + 7.8$.

  • 12.9
  • -2.7 (correct)
  • 2.7
  • -1.7

What is the value of $a$ in the equation $\frac{a}{0.4} = 75$?

  • 75.4
  • 30 (correct)
  • 300
  • 187.5

Find the value of $v$ in the equation $-1 = -8 + \frac{v}{-4}$

<p>28 (B)</p> Signup and view all the answers

Solve for $r$ in the equation $27 = -\frac{5}{3}r + 17$.

<p>-6 (C)</p> Signup and view all the answers

Determine the value of $x$ in the equation $-17 = \frac{x - 8}{2}$.

<p>-26 (C)</p> Signup and view all the answers

What is the value of $v$ in the equation $v^2 = 361$?

<p>Both 19 and -19 (A)</p> Signup and view all the answers

Find the value of $m$ in the equation $25m^2 - 17 = -1$.

<p>$\pm \frac{4}{5}$ (A)</p> Signup and view all the answers

Calculate the value of $x$ in the equation $10x - 29 - 7x = -53$.

<p>-8 (C)</p> Signup and view all the answers

Solve for $w$ in the equation $-2(2w - 9) = -38$.

<p>14.5 (C)</p> Signup and view all the answers

Flashcards

Solving Equations

The process of finding the value of a variable that makes the equation true.

One-Step Equation

An equation that can be solved in one step, by performing a single operation to isolate the variable.

Two-Step Equation

An equation that requires two steps to solve, typically involving addition or subtraction, followed by multiplication or division, to isolate the variable.

Multi-Step Equation

An equation that requires multiple steps to solve, often involving combining like terms, using the distributive property, and applying inverse operations to isolate the variable.

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Square Root

A value that, when multiplied by itself, equals a given number. Used to solve equations with squared variables.

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Study Notes

  • The quiz focuses on solving one-step, two-step, and multi-step equations
  • It also requires solving equations using square roots
  • Only enter a number for the answer
  • Remember to include negative signs if applicable
  • Answers must be whole numbers or decimals, no fractions

Solving Equations

  • Question 2: Solve for x in the equation x - 11 = -5
  • Question 3: Solve for y in the equation 5.1 = y + 7.8
  • Question 4: Solve for a in the equation a/0.4 = 75
  • Question 5: Solve for v in the equation -1 = -8 + v/-4
  • Question 6: Solve for r in the equation 27 = -5/3r + 17
  • Question 7: Solve for x in the equation -17 = x-8/2
  • Question 8: Solve for v in the equation v² = 361
  • Question 9: Solve for m in the equation 25m² − 17 = -1
  • Question 10: Solve for x in the equation 10x − 29 − 7x = -53
  • Question 11: Solve for w in the equation −2(2w – 9) = −38
  • Question 12: Solve for m in the equation 2(4m – 5) – (6m + 11) = 33
  • Question 13: Solve for r in the equation 15r + 8 = 11r – 20
  • Question 14: Solve for c in the equation -4c + 18 – 9c = 18 - 7c
  • Question 15: Solve for v in the equation 8(v – 2) = 5(v + 3) + 8
  • Question 16: Solve for x in the equation −4x + 29 – x = 2(x − 17)

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