Math Games

Grade 8 - Patterns and Relations

Standard 8.PR.2 - Practice solving two step linear equations by combining like terms.

Included Skills:

Model and solve problems using linear equations of the form:
• ax = b
• x/a = b, a ≠ 0
• ax + b = c
• x/a + b = c, a ≠ 0
• a (x + b) = c
• concretely, pictorially, and symbolically, where a, b, and c are integers.
• Identify and describe situations, which are relevant to self, family, or community, that can be modeled by a linear equation (e.g., the cost of purchasing x fish from a fisherman).
• Model and solve linear equations using concrete materials (e.g., counters and integer tiles) and describe the process orally and symbolically.
• Discuss the importance of the preservation of equality when solving equations.
• Explain the meaning of and verify the solution of a given linear equation using a variety of methods, including concrete materials, diagrams, and substitution.
• Generalize and apply symbolic strategies for solving linear equations.
• Identify, explain, and correct errors in a given solution of a linear equation.
• Demonstrate the application of the distributive property in the solving of linear equations (e.g., 2(x + 3); 2x + 6= 5)
• Explain why some linear relations (e.g., x/a = b, a ≠ 0 and x/a + b = c, a ≠ 0) have a given restriction and provide an example of a situation in which such a restriction would be necessary.
• Identify and solve problems that can be represented using linear equations and explain the meaning of the solution in the context of the problem.
• Explain the algebra behind a particular algebra puzzle such as this puzzle written for 2008:
- Pick the number of times a week that you would like to go out to eat (more than once but less than 10).
- Multiply this number by 2 (just to be bold).
- Add 5.
- Multiply it by 50.
- If you have already had your birthday this year add 1758. If you have not, add 1757.
- Now subtract the four digit year that you were born.
- You should have a three digit number. The first digit of this was your original number. The next two numbers are your age.