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McGraw Hill Glencoe Algebra 1, 2012 View details

1. Graphing Linear Equations

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Exercise 41 Page 160

Can you write the equation in standard form?

Linear? Yes
Equation: 9m-8n=-60

Practice makes perfect

To determine if the given equation is a linear equation, let's first see if we can rewrite it in standard form. Ax+ By= CIn this form, A, B, and C are constants and either A or B must be nonzero.

3m/4=2n/3-5

▼

LHS * 4=RHS* 4

MultEqn

LHS * 4=RHS* 4

3m/4*4=2n/3*4-5*4

FracMultDenomToNumber

a/4* 4 = a

3m=2n/3*4-5*4

MoveRightFacToNum

a/c* b = a* b/c

3m=8n/3-5*4

Multiply

3m=8n/3-20

▼

LHS * 3=RHS* 3

MultEqn

LHS * 3=RHS* 3

3m*3=8n/3*3-20*3

FracMultDenomToNumber

a/3* 3 = a

3m*3=8n-20*3

Multiply

9m=8n-60

SubEqn

LHS-8n=RHS-8n

9m-8n=-60

This is the standard form of the given equation. Below we have highlighted how it corresponds to the general standard form. 9m-8n=-60 ⇔ 9m+( -8)n= -60 When written this way, we can see that A= 9, B= -8, and C= -60. Since this equation can be written in standard form, it is linear.

Subchapter links

Check Your Understanding p.159

Practice and Problem Solving p.159-161

H.O.T. Problems p.161

Standardized Test Practice p.162

Spiral Review p.162

Skills Review p.162

Exercise 41 Page 160

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