warm-up use the distributive property to rewrite the expression without parentheses. 1.) 8(x + 5)2.)...
TRANSCRIPT
Warm-up
Use the distributive property to rewrite the expression without parentheses.1.) 8(x + 5) 2.) 4(y – 7) 3.) (x – 4)(2)
4.) –6(r – 1) 5.) (m – 7)( –3) 6.) –12(3 + n)
Warm-up continued
7.) (x)(x + 3) 8.) (–a)(a + 3) 9.) (2x + 1)(5x)
Algebra 1Unit 1
Section 1.5 Notes: Equations
Open Sentence: a mathematical statement with one or more variables.Equation: a mathematical sentence that contains an equals sign, =.
Solving an open sentence: Finding a replacement value for the variable that results in a true sentence or an ordered pair that results in a true statement when substitute into the equation.
Solution: a replacement value for the variable in an open sentence.
Replacement Set: a set of numbers from which replacements for a variable may be chosen.
Set: a collection of objects or numbers that is often shown using braces.
Element: Each object or number in the set.
Solution Set: the set of elements from the replacement set that make an open sentence true.
Example 1
a) Find the solution set of the equation if the replacement set is {2, 3, 4, 5, 6}.
Example 1 Continued
b) Find the solution set of the equation if the replacement set is {0, 1, 2, 3}.
You can often solve an equation by applying the order of operations.
Example 2
a) Solve
a. 19 b. 27 c. 33 d. 42
b) Solve
a. 3 b. 6 c. 14.2 d. 27
Example 3: Solve each equation.
Some equations have a unique solution. Other equations do not have a solution.
Example 4
Identity: an equation that is true for every value of the variable.Solve
Example 5
a) Dalila pays $16 per month for a gym membership. In addition, she pays $2 per Pilates class. Write and solve an equation to find the total amount Dalila spent this month if she took 12 Pilates classes.
Example 5 Continued
b) Amelia drives an average of 65 miles per hour. Write and solve an equation to find the time it will take her to drive 36 miles.
Exit Slip
Complete problems #2, 5, 8, 11, & 12 in your workbook. Raise your hand when you finish and I’ll come by to check your answers