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Solving Equations with Multiple Variables for One Variable, Exercises of Linear Algebra

Instructions and examples for solving equations with multiple variables for one variable. It includes warm-up problems, model problems, practice problems, and regents questions. The document also explains the concept of literal equations and formulas, and provides challenge questions for further practice.

What you will learn

  • What is the value of a in the equation acb - a = d?
  • What is the perimeter of a rectangle if the length is 5 units and the width is 3 units?
  • What is the value of h in the equation Abh = 1?
  • How do you solve the equation 7x + 2 = 5x + 8 for x?
  • How do you solve the equation 2x + s = x + 2 for x?

Typology: Exercises

2021/2022

Uploaded on 09/27/2022

captainamerica
captainamerica 🇺🇸

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SWBAT solve an equation with multiple variables for one variable
1
Name: ___________________________________________________________ Date: _________________
Lesson 5
Solving for a Variable
Warm Up
Directions: Solve the following equations.
1) 7x + 2 = 5x + 8
2) 4(2x 5) = 5x + 4
Example 1: Solving Literal Equations
Model Problems
1) d = rt for t
2) p = abc for b
Practice Problems
2)
P IRT
for T
3)
2S rh
for h
k wxy
pf3
pf4

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SWBAT solve an equation with multiple variables for one variable Name: ___________________________________________________________ Date: _________________ Lesson 5

Solving for a Variable

Warm Up Directions: Solve the following equations.

  1. 7 x + 2 = 5 x + 8 2) 4(2 x – 5) = 5 x + 4 Example 1: Solving Literal Equations Model Problems
  2. d = rt for t 2) p = abc for b Practice Problems
  3. PIRT for T 3) (^) S  2  rh for h 4) kwxy for x

Example 2: Solving Literal Equations Model Problems

  1. B = T – LC for T 6) T = p + prt for r Practice Problems
  2. x + 7 y = 15 for x. 8) v = 4 + at for a 9) 4 b – 5 = – t for b Regents Questions
  3. If , then x equals
  4. If the formula for the perimeter of a rectangle is , then w can be expressed as

Name: __________________________________________________________________ Date: ____________________

Solving for a Variable