With some practice you willeasily recognise what operations are required to solve an equation.
- 3.1 Solve Single Variable Equationsmr. Mac's Page Pdf
- 3.1 Solve Single Variable Equationsmr. Mac's Page Number
- 3.1 Solve Single Variable Equationsmr. Mac's Page Sheet
- 3.1 Solve Single Variable Equationsmr. Mac's Page Numbers
Chapter 5: Solving Systems of Linear Equations. Chapter 6: Exponential Functions & Sequences. (3.1 - 3.2) Review Packet ANSWERS.pdf (287k) Susan Wolff. 3.1.2 Installing R on a Mac. When you click on the Mac OS X link, you should find yourself on a page with the title “R for Mac OS X”. The vast majority of Mac users will have a fairly recent version of the operating system: as long as you’re running Mac OS X 10.6 (Snow Leopard) or higher, then you’ll be fine. 15 There’s a fairly prominent link on the page called “R-3.0.2.pkg.
Here are possible ways ofsolving a variety of linear equation types.
Example1, Solve for ‘x’ :
x +1=-3
1. Subtract 1 fromboth sides:
x +1 - 1 =-3 - 1
2. Simplify bothsides:
x=-4
Example2, Solve for ‘x’ :
-2x=12
1. Divide both sides by -2:
2. Simplify both sides:
x=-6
Example3, Solve for ‘x’:
1.Multiply both sides by 3:
2.Simplify both sides:
x = -6
Example4, Solve for ‘x’:
2x + 1=-17
1.Subtract 1 from both sides:
2x+ 1 -1 = -17-1
2.Simplify both sides:
2x = -18
3.Divide both sides by 2:
4.Simplify both sides:
x = -9
Example5, Solve for ‘x’:
1.Multiply both sides by 9:
2.Simplify both sides:
3x = 36
3.Divide both sides by 3:
4.Simplify both sides:
x = 12
Example6, Solve for ‘x’:
1. Multiply both sides by 3:
2. Simplify both sides:
x+ 1 = 21
3. Subtract 1 from both sides:
x+ 1 -1 = 21 -1
4. Simplify both sides:
x = 20
Example7, Solve for ‘x’:
7(x- 1)=21
1.Divide both sides by 7:
2.Simplify both sides:
x-1 = 3
3.Add 1 to both sides:
x-1 + 1 = 3 + 1
4.Simplify both sides:
x = 4
Example8, Solve for ‘x’:
1.Multiply both sides by 5:
2.Simplify both sides:
3(x-1) = 30
3.Divide both sides by 3:
4.Simplify both sides:
x-1 = 10
5.Add 1 to both sides:
x-1 + 1 = 10 + 1
6.Simplify both sides:
x=11
Example9, Solve for ‘x’:
3.1 Solve Single Variable Equationsmr. Mac's Page Pdf
5x+ 2 = 2x+ 17
1.Subtract 2x from both sides:
5x+ 2 -2x= 2x+ 17 -2x
2.Simplify both sides:
3x+ 2 = 17
3.Subtract 2 from both sides:
3x+ 2 -2 = 17 -2
4.Simplify both sides:
3x = 15
5.Divide both sides by 3:
6.Simplify both sides:
x = 5
Example10, Solve for ‘x’:
5(x-4) = 3x+ 2
1.Expand brackets:
5x-20 = 3x+ 2
2.Subtract 3x from both sides:
5x-20 -3x= 3x+ 2 -3x
3.Simplify both sides:
2x-20 = 2
3.1 Solve Single Variable Equationsmr. Mac's Page Number
4.Add 20 to both sides:
2x-20 + 20 = 2 + 20
5.Simplify both sides:
2x = 22
6.Divide both sides by 2:
3.1 Solve Single Variable Equationsmr. Mac's Page Sheet
7.Simplify both sides:
x=11
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3.1 Solve Single Variable Equationsmr. Mac's Page Numbers
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