Unit Resources
Write and Read ExpressionsStandards:
Examples: Read algebraic expressions:
Example: Write algebraic expressions:
Vocabulary:
Variables is an alphabetic character representing a number.
Resources Writing expressions Tutorial Writing expressions Video Combing Like TermsStandards
Understanding of like terms as quantities being added or subtracted with the same variables and exponents. Example: 3x + 4x are like terms and can be combined as 7x. Real-World ExpressionsStandards
Example 1: Write an expression to represent the number of wheels, w, on any number of bicycles. Solution: 2w Example 2: The skating rink charges $100 to reserve the place and then $5 per person. Write an expression to represent the cost for any number of people. Solution: n = the number of people 100 + 5n Resources Writing expressions from word problems Video Writing expression from word problems Practice Expressing InequalitiesStandards:
The class must raise at least $100 to go on the field trip. They have collected $20. Write an inequality to represent the amount of money, m, the class still needs to raise. Represent this inequality on a number line. Example 2:
he Flores family spent less than $200.00 last month on groceries. Write an inequality to represent this amount and graph this inequality on a number line. Resources
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Evaluate ExpresionsStandards
Example 1: Evaluate Expressions Evaluate the expression 3x + 2y when x is equal to 4 Solution: y is equal to 2.4. Example 2: Fraction Bar is Type of Grouping Example 3: Word Problem
It costs $100 to rent the skating rink plus $5 per person. Write an expression to find the cost for any number (n) of people. What is the cost for 25 people? Solution: Solution: The cost for any number (n) of people could be found by the expression, 100 + 5n. To find the cost of 25 people substitute 25 in for n and solve to get 100 + 5 * 25 = 225. Resources Evaluating expressions Video Evaluating expressions Practice Solve Expressions & InequalitiesStandards
Identify the value(s) that when substituted for the variable will make the equation true. Example 1: Expression Joey had 26 papers in his desk. His teacher gave him some more and now he has 100. How many papers did his teacher give him? Solution: 26 + 74 = 100 Example 2: Inequality Twelve is less than 3 times another number can be shown by the inequality 12 < 3n. What numbers could possibly make this a true statement? Solution Since 3 • 4 is equal to 12. The value must be greater than 4. n > 4 Resources Combing Like Terms Video Combining Like Terms Practice Substitute and SolveStandards
Example Meagan spent $56.58 on three pairs of jeans. If each pair of jeans costs the same amount, write an algebraic equation that represents this situation and solve to determine how much one pair of jeans cost. Solution: 3j = 56.58 j= $18.86 Resources Solving one-step equations tutorial Graphing EquationsStandards:
Example 1: Table What is the relationship between the two variables? Write an expression that illustrates the relationship. Solution:
y = 2.5x Vocabulary Independent variable is the variable that can be changed. Dependent variable is the variable that is affected by the change. Resources Graphing one-step equations Tutorial |