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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 70 Page 303

What is the function related to this equation?

Solution: x=-8
Graph:

Practice makes perfect

To graph the equation 2x-7=4x+9, we have to identify the related function. To do so, we will rewrite the equation with 0 on the right-hand side.

2x-7=4x+9

LHS-2x=RHS-2x

-7=2x+9

LHS+7=RHS+7

0=2x+16

Rearrange equation

2x+16=0

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

f(x)=2x+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)=2x+16	f(x)	( x,f(x))
-6	f( -6)=2( -6)+16	4	(-6,4)
-10	f( -10)=2( -10)+16	-4	(-10,-4)

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

The graph intercepts the x-axis at x=-8. This is our solution. We can verify this algebraically by solving the equation.

2x-7=4x+9

LHS-2x=RHS-2x

-7=2x+9

LHS-9=RHS-9

-16=2x

.LHS /2.=.RHS /2.

- 8=x

Rearrange equation

x=-8

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