Solving Literal Equations 7 3 for a Variable

Solving Literal Equations 7 -3 for a Variable Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

Solving Literal Equations 7 -3 for a Variable Warm Up Solve. 1. x + 14 = 27 13 2. 50 = 2 x – 16 33 3. x = 12 48 4. 6 x = 72 12 4

Solving Literal Equations 7 -3 for a Variable Problem of the Day Sandra has some pencils. Kylie has twice as many pencils as Sandra. Together they have 42 pencils. Write and solve an equation to find how many pencils each girl has. x + 2 x = 42; Sandra: 14, Kylie: 28

Solving Literal Equations 7 -3 for a Variable Sunshine State Standards MA. 8. A. 4. 1 Solve literal equations for a specified variable.

Solving Literal Equations 7 -3 for a Variable Vocabulary literal equation

Solving Literal Equations 7 -3 for a Variable A literal equation is an equation with two or more variables.

Solving Literal Equations 7 -3 for a Variable Additional Example 1 A: Solving for Variables in Formulas Solve each equation for the given variable. A = lw for l A = lw Divide both sides by w to isolate l.

Solving Literal Equations 7 -3 for a Variable Additional Example 1 B: Solving for Variables in Formulas Solve each equation for the given variable. I = prt for t I = prt Divide both sides by pr to isolate t.

Solving Literal Equations 7 -3 for a Variable Check It Out: Example 1 A Solve each equation for the given variable. A = ℓw for w. A = ℓw ℓ ℓ A = w ℓ

Solving Literal Equations 7 -3 for a Variable Check It Out: Example 1 B Solve each equation for the given variable. I = Prt for P. I = Prt rt rt I = P rt

Solving Literal Equations 7 -3 for a Variable Additional Example 2: Application The area of a rectangular table is 30 ft 2. What is the width of the table if the length is 7. 5 feet? First solve the area formula for w because you want to find the width. Then use the given values to find w. A = lw Divide both sides by l to isolate 1.

Solving Literal Equations 7 -3 for a Variable Additional Example 2 Continued The area of a rectangular table is 30 ft 2. What is the width of the table if the length is 7. 5 feet? w=4 The width of the table is 4 feet.

Solving Literal Equations 7 -3 for a Variable Check It Out: Example 2 The formula V = Bh gives the volume V of a rectangular prism with base area B and height h. The volume of a rectangular prism is 96 cm 3. What is the height of the prism if base area is 12 cm? V V = Bh h= B V = Bh = 96 B B 12 V =h h=8 B The height of the prism is 8 cm.

Solving Literal Equations 7 -3 for a Variable Additional Example 3 A: Solving Literal Equations with Addition or Subtraction Solve each equation for the given variable. c = d – e for d c=d–e +e +e c+e=d Locate d in the equation. Add e to both sides of the equation.

Solving Literal Equations 7 -3 for a Variable Additional Example 3 B: Solving Literal Equations with Addition or Subtraction Solve each equation for the given variable. 4 x = y + 1 – 3 x for y 4 x = y + 1 – 3 x Locate y in the equation. – 1 Subtract 1 from both sides of the equation. – 1 4 x – 1 = y – 3 x + 3 x 7 x – 1 = y Add 3 x to both sides of the equation.

Solving Literal Equations 7 -3 for a Variable Check It Out: Example 3 A Solve each equation for the given variable. 3 x – 2 y = y + z for z 3 x – 2 y = y + z –y –y 3 x – 3 y = z = 3 x – 3 y z

Solving Literal Equations 7 -3 for a Variable Check It Out: Example 3 B Solve each equation for the given variable. 4 t + 2 s = 2 t + r – s for r 4 t + 2 s = 2 t + r – s +s +s 4 t + 3 s – 2 t 2 t + 3 s = = 2 t + r – 2 t r

Solving Literal Equations 7 -3 for a Variable Additional Example 4: Solving Literal Equations for a Variable The equation t = m + 10 e gives the test score t for a student who answers m multiple-choice questions and e essay questions correctly. Solve this equation for e. t = m + 10 e Locate e in the equation. t = m + 10 e Since m is added to 10 e, subtract –m –m m from both sides. t–m= 10 e Since e is multiplied 10, divide t – m = 10 e both sides by 10. 10 10 t–m= e 10

Solving Literal Equations 7 -3 for a Variable Check It Out! Example 4 Solve 2 k - 4 d = r for k 2 k – 4 d = r + 4 d 2 k 2 +4 d = r + 4 d 2 r + 4 d k= 2

Solving Literal Equations 7 -3 for a Variable Lesson Quizzes Standard Lesson Quiz for Student Response Systems

Solving Literal Equations 7 -3 for a Variable Lesson Quiz 1. Solve 3 Y = F for Y. 2. Solve g = hk for h. 3. Solve 2 b + 3 c = d for b. 4. Solve 6 + 2 m – n = 3 n + 9 for m. 5. What would be the length of a rectangle if its perimeter was 72 meters and its width was 16 meters? 20 m