Bellwork Sept 30 – Oct 4 Solve. 1. 2.
Writing and Solving Linear Equations These are the topics that will be on your test: Section 1 - Writing Equations by Looking at Tables Section 2 - Write and Solve One-Step Linear Equations Section 3 - Write and Solve Multi-Step Linear Equations Section 4 - Write and Solve Linear Equations with x on Both Sides Section 5 - Write and Solve Linear Equations with Two Different Variables Estimated Date of Test: October 14th
STUDENT WORDS OR EXAMPLE VOCABULARY TERM TEACHER WORDS STUDENT WORDS OR EXAMPLE 4 + 6x Parts of an addition or subtraction problem Terms -3 + x 8x – 5
3 1 Ex #1 How many terms are on the left side of the equation? How many terms are on the right side of the equation? 1
2 2 Ex #2 How many terms are on the left side of the equation? How many terms are on the right side of the equation? 2
3 4 Ex #3 How many terms are on the left side of the equation? How many terms are on the right side of the equation? 4
STUDENT WORDS OR EXAMPLE VOCABULARY TERM TEACHER WORDS STUDENT WORDS OR EXAMPLE same variable same exponent same side of = x and -4x 12y2 and 3y2 Like Terms 1r3 and 2r3 and 7
? Identify the like terms. Ex #1 Like terms…have the same variable raised to the same power, are on the same side of the =
Identify the like terms. Ex #2 Identify the like terms. Like terms…have the same variable raised to the same power, are on the same side of the =
? Identify the like terms. Ex #3 Like terms…have the same variable raised to the same power, are on the same side of the =
STUDENT WORDS OR EXAMPLE VOCABULARY TERM TEACHER WORDS STUDENT WORDS OR EXAMPLE Coefficient A number multiplied by a variable 87x -9.4x The number in front of the letter x 1
STUDENT WORDS OR EXAMPLE VOCABULARY TERM TEACHER WORDS STUDENT WORDS OR EXAMPLE 1 x – 4x = -3x Add the coefficient and leave the variable and exponent the same 12y2 + 3y2 =15y2 Combining Like Terms 1r3 + 2r3 = 3r3 + 7 7 1/2 =
4. Undo addition or subtraction 5 steps to follow when Solving Equations (isolating x) 1. Distribute 1. 2. 2. Combine like terms 3. 4. Undo addition or subtraction 5. Undo multiplication or division
+6 +6 7 7 Ex #1 Combine like terms first, THEN SOLVING EQUATIONS BY COMBINING LIKE TERMS Ex #1 Combine like terms first, THEN +6 +6 Undo addition and subtraction next, THEN 7 7 Undo multiplication and division GOAL: to isolate x
-15 -15 -11 -11 Ex #2 Combine like terms first, THEN SOLVING EQUATIONS BY COMBINING LIKE TERMS Ex #2 Combine like terms first, THEN -15 -15 Undo addition and subtraction next, THEN -11 -11 Undo multiplication and division GOAL: to isolate x
YOU TRY Simplify:
YOU TRY What’s the coefficient here? 1
YOU TRY