Name ______________________________________ Date _________
Mini Lesson #2: Using the Distributive Property to Solve Equations
EQ: How do we solve multi-step equations using the distributive property?
Example 1: 4(n – 6) = 16
Example 2: 3(2x + 4) = 30nv
Example 3: 2(b – 3) + 5 = 3(b – 1)
Check your solution:
era Check your solution ions
Check your solution:
Example 4:
A rectangular garden has a length of 3 feet and a width of (x + 4) feet.
Part A: Write an equation that represents the area of the garden.
Part B: If the area of the garden is 36 feet, what is the width?
Name _______________________________________ Date ________
Work Time: Using the Distributive Property to Solve Equations
Find the value of the unknown in each equation below.
1.) 4(5 + 3m) = 128
2.) (11 + 7z)8 = -48
3.) 9(4y + 1) = 81
4.) 16(3 – 5h) + 17 = -15
5.) -5(4w + 12) = 15
6.) d(12 – 5) – 4 = 3
7.) Solve for x in the equation below:
15(-2g + 3) = 285
On the lines below, explain how to use the distributive property to help you solve
this equation.
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8.) Solve for x in the equation below:
2(3x – 4) – 7 = 51
On the lines below, explain how to use the distributive property to help you solve
this equation.
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Name _____________________________________ Date __________
TOTD: Solving Equations with Distributive Property
Determine whether the solution is correct. If the solution is not correct,
circle the error and give the correct solution. (SHOW YOUR WORK)
2(g + 5) = 22
2g + 5 = 22
2g + 5 = 22
-5 -5
2g = 17
2
2
g = 8.5
Name _____________________________________ Date __________
TOTD: Solving Equations with Distributive Property
Determine whether the solution is correct. If the solution is not correct,
circle the error and give the correct solution. (SHOW YOUR WORK)
2(g + 5) = 22
2g + 5 = 22
2g + 5 = 22
-5 -5
2g = 17
3
2
g = 8.5
Name _______________________________ Date _______________
Homework: Solving Equations with Distributive Property
Solve for the unknown value in each equation below.
1.)
2(3x – 10) = 22
2.) -9(n – 18) = 144
3.) Solve for h in the equation below:
4(4h + 7) = -20
On the lines below, explain how to use the distributive property to help you solve
this equation.
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