# Elementary Algebra Review Part 21

Taught by YourMathGal
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Part of video series
Lesson Summary:

In this lesson, students learn how to solve algebraic equations with variables on both sides and how to write and solve equations from word problems. They review special cases for solving linear equations, where false statements mean no solution, and true statements mean infinitely many solutions. Students also learn how to solve word problems by defining variables, writing equations, solving them, and checking their answers.

Lesson Description:

Solving and checking algebraic equations with variables on both sides and writing and solving equations from word problems.

More free YouTube videos by Julie Harland are organized at http://yourmathgal.com

• How do you solve and check algebraic equations with variables on both sides of the equation?
• How do you solve 11x + 7 = 5(2x + 2) + x?
• What happens if you get 7 = 10 when you solve an equation?
• What happens if you get two numbers equal to each other when you solve an equation?
• What happens if the variable cancels out when you are solving an equation?
• How do you solve 4(x - 3) - 2 = 4x - 14?
• What happens if both sides of an equal sign are the same?
• When does an equation have no solutions?
• When does an equation have infinitely many solutions?
• What happens if you get 0 = 0 when you solve an equation?
• How do you solve and check (2/9)x - 1/3 = 1?
• How can you get rid of fractions from an equation from the beginning?
• How do you write an equation for a word statement and solve it?
• If four less than six times a number is the sum of the number and six, what is the number?
• How do you solve 6n - 4 = n + 6
• How do you know if your solution to a word problem is correct?
• #### Staff Review

• Currently 4.0/5 Stars.
More examples of solving equations with variables on both sides are shown in this video. Some special examples are done in this lesson, where there are no solutions or multiple solutions. Writing equations for a word statement and solving that equation is also explained. This can be particularly difficult to many students.