ALG1 S1 Final Review 1

Which graph best represents $$-5y=-6x+15$$ ?

What is the solution to $$8x-3\left(2x-4\right)=3\left(x-6\right)$$ ?

What is the equation in slope-intercept form of the line that passes through the points $$\left(-4,\ 2\right)$$ and $$\left(12,\ 6\right)$$ ?

A student is ordering a flower arrangement. She can choose any combination of roses and carnations for her flower arrangement, and she does not want to spend more than $30. If roses cost $3 each and carnations cost $2 each, which inequality represents all possible combinations of   $$x$$ roses and   $$y$$ carnations?

A college student has two different jobs. Her combined work schedules consist of no more than 48 hours in one week.

Which graph best represents the solution set for all possible combinations of  $$x$$ , the number of hours she worked at her first job, and  $$y$$ , the number of hours she worked at her second job, in one week?

The graph of a linear function,  $$f$$ , is shown. What is the zero o f $$f$$ ?

Which value of $$x$$ makes the equation $$0.75\left(x+20\right)=2+0.5\left(x-2\right)$$ true?

What is the equation in slope-intercept form of the line that passes through the points $$\left(-26,\ -11\right)$$ and $$\left(39,\ 34\right)$$ ?

A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cooked on the grill.

Which inequality represents all possible combinations of  $$x$$ , the number of sausage links that will be cooked on the grill, and $$y$$ , the number of briskets that will also be cooked?

Which graph best represents this system of equations and its solution?

$$8x-4y=-16$$

$$3x+15y=-6$$