Download Week 4 - Central Oregon Community College

M60 Day 9
2.5 Solving Linear Equations:
ax+b=cx+d
Warm-up
1. Change into an algebraic expression: Twice
the sum of 3 and a number.
2. Solve and check: x  10  11
7 x 3x 7 3
3. Solve and check:
  
4
4 8 2
General Procedure
• Simplify each side - Remove grouping symbols
and combine like terms
• MOVE terms by adding/subtracting
• ReMOVE coefficients by Multi/Divide
• Check your answer
Solve the Linear Equation
• Try it…
4 x  15  2 x  9
16 y  23 y  3  16 y  2 y  2
6y  3  y  7
Solving Linear Equations
• Ex:
2 x  64  4  4 x  2 
0.9 y  3  0.4 y  1.5
6x  3  3 x  2
0.25  3 x  6.5  0.75 x
Solving Linear Equations
1
5 1
4
w  w
4
2 2
3
5n 1 3n 1
 

6 9 2 9
4
2
n2 n4
5
5
Types of Equations
• There are three types of linear equations
based on the number of solutions:
o Conditional
 Finite number of solutions Ex. X=19
o Identity
 Infinite number of solutions Ex. 31=31
o Contradiction
 No real solutions Ex. 2=15
Solving Linear Equations
State if Conditional, Identity or Contradiction
2 x  13  2( x  7)
3 x  9  3( x  3)  6 x
3( x  2)  4 x  6  x  1  x
2 x  3x  5.2  3  x 
Coming up…
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Quiz #4 – by Friday 11/1
Day 10 Reading Guide 3.1-3.2
No School 11/11 (Monday)
Test #2 – November 25th
Exit Ticket
Solve for the variables. State if the equation is
Conditional, Identify or Contradiction.
Show your process steps and check conditional
solutions.
1. 2 z  1  3 z  3

2.
3.

7( x  1)  3(3  x)  4 x
y 3 y
  2
5 4 2