IM 8.5.3 Practice: Equations for Functions

Here is an equation that represents a function:

[math]72x+12y=60.[/math][br][br]Select [b]all [/b]the different equations that describe the same function:

[math]2y+12x=10[/math] [math]y=5+6x[/math] [math]x=\frac{5}{6}+\frac{y}{6}[/math] [math]120y+720x=600[/math] [math]7x+2y=6[/math] [math]y=5−6x[/math] [math]x=\frac{5}{6}-\frac{y}{6}[/math]

Graph a system of linear equations with no solutions.

Write an equation for each line you graph.

[size=150]Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans and rice for a potluck dinner. Let [math]b[/math] be the number of pounds of beans Lin buys and [math]r[/math] be the number of pounds of rice she buys when she spends all her money on this meal.[/size][br][br]Write an equation relating the two variables.

Rearrange the equation so [math]b[/math] is the independent variable.

Rearrange the equation so [math]r[/math] is the independent variable.

Solve each equation and check your answer.

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

[math]\frac{1}{2}-\frac{1}{8}q=\frac{q-1}{4}[/math]

[math]4z+5=-3z-8[/math]

IM 8.5.3 Practice: Equations for Functions

Here is an equation that represents a function:

Graph a system of linear equations with no solutions.

Solve each equation and check your answer.

Information: IM 8.5.3 Practice: Equations for Functions