## Standards of Learning (SOL)

 Essential Knowledge and Skills
• Determine whether a linear equation in one variable has one, an infinite number, or no solutions. (a)
• Apply the properties of real numbers and properties of equality to simplify expressions and solve equations. (a, b)
• Solve multistep linear equations in one variable algebraically. (a)

## Resources

Vocabulary
Equation, multi step, linear, quadratic, literal equations, specified, system of equations, algebraically, graphically, infinite, properties, equality, simplify, rational, irrational, substitution, elimination, ordered pair, point of intersection, concrete, pictorial, symbolic, associative, commutative, identity, inverse, distributive, multiplicative, zero product, reflexive, symmetric, transitive, parallel lines, intersect, coincide, slope, simultaneously, satisfied, set notation

## Vertical Articulation

Prior Standard of Learning
8.17             The student will solve multistep linear equations in one variable with the variable on one or both sides of the equation, including practical problems that require the solution of a multistep linear equation in one variable.

Post Standard of Learning

 The student will investigate the passage of time and a) tell time to the hour and half-hour, using analog and digital clocks; and b) read and interpret a calendar.
 The student will investigate the passage of time and a) tell time to the hour and half-hour, using analog and digital clocks; and b) read and interpret a calendar.
 The student will investigate the passage of time and a) tell time to the hour and half-hour, using analog and digital clocks; and b) read and interpret a calendar.

## Essential Questions

• How can you determine whether a linear equation has one, an infinite number, or no solution?
• What are the properties of real numbers used in simplifying expressions and solving equations?
• What are the properties of equality used in simplifying expressions and solving equations?
• How can you apply the properties of real numbers and properties of equality to simplify expressions and solve equations?
• How can you solve multistep linear equations in one variable algebraically?
• How do you solve equations that involve ratios or proportions?