[math]\frac{7x+6}{2}\le3x+2[/math].[br]Select [b]all [/b]of the values that are a solution to the inequality.

[math]2x-3>\frac{2x-5}{2}[/math]

[math]\frac{-10+x}{4}+5\ge\frac{7x-5}{3}[/math].[br]What value of [math]x[/math] will produce equality (or make the two sides equal)?

[size=150]Noah is solving the inequality [math]7x+5>2x+35[/math]. First, he solves the equation [math]7x+5=2x+35[/math] and gets [math]x=6[/math].[/size][br][br]How does the solution to the equation [math]7x+5=2x+35[/math] help Noah solve the inequality [math]7x+5>2x+35[/math]? Explain your reasoning.

[size=150]Which graph represents the solution to  [math]5+8x<3\left(2x+4\right)[/math]?[/size]

[math]\begin{cases} 7x + 11y = \text-2 \\ 7x + 3y = 30 \end{cases}[/math]

Write a system of equations to represent the relationships between the number of nickels [math]n[/math], the number of quarters [math]q,[/math] and the dollar amount in this situation.[br]

How many nickels and quarters are in Kiran’s pocket? Show your reasoning.[br]

[math]\begin{cases} y+\frac23 x = 4 \\ 2x=12-3y \\ \end{cases}[/math]

[size=150]The principal has a budget of $225 and expects at least 16 people to attend. Sandwiches cost $3 each.[/size][br][br]Select [b]all[/b] of the equations and inequalities that could represent the constraints in the situation, where [math]n[/math] is number of people attending and [math]s[/math] is number of sandwiches.

[size=150]The jobs that are available pay different rates, starting from $8.75 an hour. Students can earn a maximum of $320 per week. [/size][br]Write at least two inequalities that could represent the constraints in this situation. Be sure to specify what your variables represent.