IM 8.4.6 Practice: Strategic Solving

Solve each of these equations. Explain or show your reasoning.

[math]2b+8-5b+3=-13+8b-5[/math]

[math]2c-3=2(6-c)+7c[/math]

[math]2x+7-5x+8=3(5+6x)-12x[/math]

Solve each equation and check your solution.

[math]-3w-4=w+3[/math]

[math]3(3-3x)=2(x+3)-30[/math]

[math]\frac{1}{3}(z+4)-6=\frac{2}{3}(5-z)[/math]

[size=150][size=100]Elena said the equation [math]9x+15=3x+15[/math] has no solutions because [math]9x[/math] is greater than [math]3x[/math]. Do you agree with Elena? Explain your reasoning.[/size][/size]

The table gives some sample data for two quantities, x and y, that are in a proportional relationship. Complete the table.

Write an equation that represents the relationship between [math]x[/math] and [math]y[/math] shown in the table.

Graph the relationship. Use a scale for the axes that shows all the points in the table.

Information: IM 8.4.6 Practice: Strategic Solving