Transcript multiplication and division equations

7.4 Solving Multiplication
and Division Equations
T/B pp. 333-335
Activate! Brainstorm
What were the steps to solving addition and
subtraction equations?
How do you think those steps will apply to today’s
lesson?
Essential Question
How can inverse operations help you solve
multiplication and division equations?
Activate!
• Remember A=lw ??
What if…you have a rectangle
that has an area of 24 ft2 and you
know the length is 8 ft. How can
you use this formula to find the
missing width?
Think of other ways you might
use this formula.
Vocabulary
• To solve a multiplication problem, use the
division property of equality:
Dividing each side of an equation by the
same nonzero number produces an equivalent
equation.
ax = b
ax = b
a
a
Solving a Multiplication Equation
7x = 63
Steps to Solve for a Variable:
(1) Isolate the variable by using an inverse
operation.
(2) Divide each side by the same number.
(3) Simplify, if needed.
(4) Check your work!
Solving a Multiplication Equation
9n = -72
-11w = -132
On Your Own
(a) 9a = 45
(b) -6b = 36
(c) 7 = 2c
(d) -64 = -8f
Vocabulary: N/T Guide p. 151
• To solve a division problem, use the
multiplication property of equality:
Multiplying each side of an equation by the
same nonzero number produces an equivalent
equation.
x = b
a
a*x =b*a
a
Solving a Division Equation
x/4 = -7
Steps to Solve for a Variable:
(1) Isolate the variable by using an inverse
operation.
(2) Multiply each side by the same number.
(3) Simplify, if needed.
(4) Check your work!
Solving a Division Equation
a/6 = 12
b/-13 = -9
On Your Own II
(e) r/4 = 8
(f) y/3 = -15
(g) 1.5 = t/3
Solving an Equation Using a Reciprocal
2/7 x = 4
Steps to Solve for a Variable:
(1) Isolate the variable by using an inverse
operation. (remember rules for dividing w/
fractions)
(2) Multiply each side by the same reciprocal.
(3) Simplify, if needed.
(4) Check your work!
Solving an Equation Using a Reciprocal
7/3 t = 21
-1/5 c = 35
On Your Own III
(h) 5/6 x = 5
(i) 3/4 y = -1
(j) 6 = 3/2 k
Pair/Share
Ones: Tell twos how to solve 5x=15
Twos: Tell ones how to solve 1/5x=15
Extended Learning Opportunity
Pizzazz pp. 73-74