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Solving two-step linear equations using distributive property: a(x+b)=c
- Intro Lesson: a5:48
- Lesson: 1a3:00
- Lesson: 1b2:36
- Lesson: 2a1:51
- Lesson: 2b1:54
- Lesson: 2c1:48
- Lesson: 2d1:49
- Lesson: 3a1:55
- Lesson: 3b2:38
Solving two-step linear equations using distributive property: a(x+b)=c
Distributive property is an algebra property that we use all the time! When you see equations in the form of a(x+b), you can transform them into ax+ab by multiplying the terms inside a set of parentheses. In this section, we will make use of this property to help us solve linear equations.
Basic Concepts: Model and solve one-step linear equations: ax=b, ax=b, Solving two-step linear equations using addition and subtraction: ax+b=c, Solving two-step linear equations using multiplication and division: ax+b=c
Related Concepts: Solving linear equations using multiplication and division, Solving two-step linear equations: ax+b=c, ax+b=c, Solving linear equations using distributive property: a(x+b)=c, Solving linear equations with variables on both sides
Lessons
- Introductiona)
- What is Distributive Property?
- How to use distributive property to solve linear equations?
- 1.Solve the equation using model.a)4(x+1)=12b)2(x−3)=8
- 2.Solve.a)3(x−9)=45b)7(10+x)=14c)−15=3(x−6)d)−22=11(x+13)
- 3.John has a round table with a circumference of 314.16 cm, but it is too big for his new home. So, he cut off a 10 cm wide border around the edge.a)Write the equation that represents the situation.b)What is the circumference of the table now? Round your answer to two decimal places.
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16.
Linear Equations
16.1
Model and solve one-step linear equations: ax=b, ax=b
16.2
Solving two-step linear equations using addition and subtraction: ax+b=c
16.3
Solving two-step linear equations using multiplication and division: ax+b=c
16.4
Solving two-step linear equations using distributive property: a(x+b)=c