5 Questions
What is the solution of the equation 3(y + 8) = 10(y − 4) + 8?
4
What is the solution of the equation 3x + 12 = 2x − 4?
-8
What is the solution of the equation x -9 x -5 5 =7?
4
What is the solution of the equation 5(x − 3) = 3(x + 2)?
5
What is the solution of the equation b+(b+1)+(b+2) 4 = 21?
-3
Study Notes
Linear Equations
- To solve the equation 3(y + 8) = 10(y − 4) + 8, we need to isolate the variable y.
- The solution of the equation 3x + 12 = 2x − 4 is found by adding 4 to both sides and then subtracting 2x from both sides, resulting in x = 8.
- The equation x - 9 = 7 can be solved by adding 9 to both sides, resulting in x = 16.
- The equation 5(x − 3) = 3(x + 2) can be solved by distributing the numbers and combining like terms, resulting in 2x = 19 and x = 19/2.
- The equation b + (b + 1) + (b + 2) = 21 can be solved by combining like terms, resulting in 3b + 3 = 21, then subtracting 3 from both sides, and finally dividing by 3, resulting in b = 6.
Test your understanding of solving linear equations by determining which values are the solutions for given equations. Practice evaluating expressions and solving for variables with this quiz.
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