Solving Equations by Multiplying or Dividing PRE-ALGEBRA LESSON 2-6 (For help, go to Lesson 1-9.)...
9
Solving Equations by Multiplying or Dividing PRE-ALGEBRA LESSON 2-6 (For help, go to Lesson 1-9.) Simplify each quotient. 1. 2. 3. 4. 18 18 21 –21 –7 7 –13 –13 Check Skills You’ll Need 2-6
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Transcript of Solving Equations by Multiplying or Dividing PRE-ALGEBRA LESSON 2-6 (For help, go to Lesson 1-9.)...
Solving Equations by Multiplying or DividingSolving Equations by Multiplying or DividingPRE-ALGEBRA LESSON 2-6PRE-ALGEBRA LESSON 2-6
(For help, go to Lesson 1-9.)
Simplify each quotient.
1. 2.
3. 4.
1818
21–21
–77
–13–13
Check Skills You’ll Need
2-6
Solving Equations by Multiplying or DividingSolving Equations by Multiplying or DividingPRE-ALGEBRA LESSON 2-6PRE-ALGEBRA LESSON 2-6
Solutions
1. = 1 2. = –1
3. = –1 4. = 1
1818
21–21
–77
–13–13
2-6
Solving Equations by Multiplying or DividingSolving Equations by Multiplying or DividingPRE-ALGEBRA LESSON 2-6PRE-ALGEBRA LESSON 2-6
2-6
Vocabulary and Concepts
Division Property of Equality
You can divide the same number from each side of an equation
Vocabulary
Arithmetic Algebra
6 = 3( 2 ) If a = b and c = 0
6 = 3( 2 ) a = b3 ____ c ___3 c
Solving Equations by Multiplying or DividingSolving Equations by Multiplying or DividingPRE-ALGEBRA LESSON 2-6PRE-ALGEBRA LESSON 2-6
2-6
Vocabulary and Concepts
Multiplication Property of Equality
You can multiply the same number from each side of an equation
Vocabulary
Arithmetic Algebra
12 = 3( 4 ) If a = b
12 2 = 3( 4 ) _____ then ac = _____2 bc
288 pens are boxed by the dozen. How many boxes
are needed?
Solving Equations by Multiplying or DividingSolving Equations by Multiplying or DividingPRE-ALGEBRA LESSON 2-6PRE-ALGEBRA LESSON 2-6
Let
Equation 288
=
b
number of pensWords times
number of boxes.b
is 12
12
number of boxes
= •
2-6
(continued)
Solving Equations by Multiplying or DividingSolving Equations by Multiplying or DividingPRE-ALGEBRA LESSON 2-6PRE-ALGEBRA LESSON 2-6
288 = 12b
24 = b Simplify.
24 boxes are needed.
Divide each side by 12.28812
12b12
=
Check Is the answer reasonable? Twelve times the number of boxes is the number of pens.
Since 12 24 = 288, the answer is reasonable.
Quick Check
2-6
Solve –2v = –24.
Solving Equations by Multiplying or DividingSolving Equations by Multiplying or DividingPRE-ALGEBRA LESSON 2-6PRE-ALGEBRA LESSON 2-6
–2v = –24
v = 12 Simplify.
Divide each side by –2.–2v–2
–24–2
=
Check –2v = –24–2 • (12) –24 Replace v with 12.
–24 = –24
2-6
Quick Check
Solve = – 5.
Solving Equations by Multiplying or DividingSolving Equations by Multiplying or DividingPRE-ALGEBRA LESSON 2-6PRE-ALGEBRA LESSON 2-6
x = – 40 Simplify.
x8
= – 5x8x8
8 = 8(–5) Multiply each side by 8.
2-6
Quick Check
Solve each equation.
1. 4x = 84 2. 91 = 7y
3. -3b = 24 4. = 10
5. -30 =
Solving Equations by Multiplying or DividingSolving Equations by Multiplying or DividingPRE-ALGEBRA LESSON 2-6PRE-ALGEBRA LESSON 2-6
21
r–5
t20
13
-8 –50
–600
2-6
