Solving two-step linear equations using distributive property: a(x + b) = c

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Intros
Lessons
• What is Distributive Property?
• How to use distributive property to solve linear equations?
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Examples
Lessons
1. Solve the equation using model.
1. $4\left( {x + 1} \right) = 12$
2. $2\left( {x - 3} \right) = 8$
2. Solve.
1. $3\left( {x - 9} \right) = 45$
2. $7\left( {10 + x} \right) = 14$
3. $- 15 = 3\left( {x - 6} \right)$
4. $- 22 = 11\left( {x + 13} \right)$
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.
1. Write the equation that represents the situation.
2. What is the circumference of the table now? Round your answer to two decimal places.
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Practice
Topic Notes
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.