8.EE.C. Analyze and solve linear equations and pairs of simultaneous linear equations.

• Two Lines

8.EE.C.7. Solve linear equations in one variable.

• Coupon versus discount
• Sammy's Chipmunk and Squirrel Observations
• Solving Equations
• The Sign of Solutions

8.EE.C.7.a. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form $x = a$, $a = a$, or $a = b$ results (where $a$ and $b$ are different numbers).

• No tasks yet illustrate this standard.

8.EE.C.7.b. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

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8.EE.C.8. Analyze and solve pairs of simultaneous linear equations.

• Cell Phone Plans
• Fixing the Furnace
• Folding a Square into Thirds
• How Many Solutions?
• Kimi and Jordan

8.EE.C.8.a. Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

• The Intersection of Two Lines

8.EE.C.8.b. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, $3x + 2y = 5$ and $3x + 2y = 6$ have no solution because $3x + 2y$ cannot simultaneously be $5$ and $6$.

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8.EE.C.8.c. Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.

• Quinoa Pasta 1
• Summer Swimming