Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
2. Solving Two-Step Equations
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Exercise 29 Page 91

Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.

- 2

Practice makes perfect
To solve an equation, we should first gather all of the variable terms on one side of the equation and all of the constant terms on the other side using the Properties of Equality. In this case, we need to eliminate the fraction by multiplying both sides by 2 in order to isolate the variable term.
4 = a+10/2
2(4) = 2(a+10/2)
2(4) = 2(a+10)/2
2(4) = 2(a+10)/2
2(4) = a+10
8=a+10
8-10=a+10-10
- 2 = a
a = - 2
The solution to the equation is a=- 2. We can check our solution by substituting it into the original equation.
4 = a+10/2
4 ? = - 2+10/2
â–Ľ
Evaluate
4 ? = 8/2
4=4
Since the left-hand side is equal to the right-hand side, our solution is correct.