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McGraw Hill Glencoe Algebra 1, 2012

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McGraw Hill Glencoe Algebra 1, 2012 View details

3. Solving Multi-Step Inequalities

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Exercise 71 Page 303

What is the function related to this equation?

Solution: x=4
Graph:

Practice makes perfect

To graph the equation 5+3x=7x-11, we have to identify the related function. To do so, we will rewrite the equation with 0 on the right-hand side.

5+3x=7x-11

LHS-3x=RHS-3x

5=4x-11

LHS-5=RHS-5

0=4x-16

Rearrange equation

4x-16=0

Now that one side is equal to 0, we can name the related function.

f(x)=4x-16 The x-intercept of the graph of f(x) is the solution to our equation. To graph this function, let's make a table.

x	f(x)=4x-16	f(x)	( x,f(x))
2	f( 2)=4( 2)-16	- 8	(2,- 8)
6	f( 6)=4( 6)-16	8	(6,8)

Now we can plot the points and connect them with a line.

The graph intercepts the x-axis at x=4. This is our solution. We can verify this algebraically by solving the equation.

5+3x=7x-11

LHS-3x=RHS-3x

5=4x-11

LHS+11=RHS+11

16=4x

Rearrange equation

4x=16

.LHS /4.=.RHS /4.

x=4

Subchapter links

Check Your Understanding p.300

Practice and Problem Solving p.301-302

H.O.T. Problems p.302

Standardized Test Practice p.303

Spiral Review p.303

Skills Review p.303