Quiz about Algebra 1: Writing Linear Equations in Two Variables

Question 1

The total cost, $$y$$ , for $$x$$ tickets to a concert includes a flat fee for processing and a cost per ticket. One customer

purchased 4 tickets for a total cost of $160. Another customer purchased 8 tickets for a total cost of $300.

Which linear equation represents the total cost in dollars, $$y$$ , for $$x$$ tickets?

Accepted Answer

$$y=35x+20$$

Answer

Answer

$$y=37.5x$$

Answer

$$y=20x+35$$

Question 2

The table shows the amount of pet food in cups remaining in an automatic feeder as a function of the number of meals the feeder has dispensed. Based on the table, which function models this situation?

Accepted Answer

$$f\left(n\right)=-3n+24$$

Answer

$$f\left(n\right)=-\frac{1}{3}n+16$$

Answer

$$f\left(n\right)=-3n+64$$

Answer

$$fn=-\frac{1}{3}n+8$$

Question 3

Which equation is best represented by this graph?

Accepted Answer

$$y-2=\frac{5}{7}\left(x-7\right)$$

Answer

$$y+2=\frac{7}{5}\left(x+7\right)$$

Answer

$$y-2=\frac{7}{5}\left(x-7\right)$$

Answer

$$y+2=\frac{5}{7}\left(x+7\right)$$

Question 4

The table represents some points on the graph of a linear function. Which equation represents the same relationship?

Accepted Answer

$$y+268=12\left(x+20\right)$$

Answer

$$y+268=\frac{1}{12}\left(x+20\right)$$

Answer

$$y+20=\frac{1}{12}\left(x+268\right)$$

Answer

$$y+20=12\left(x+268\right)$$

Question 5

Researchers in Antarctica discovered a warm sea current under a glacier that is causing the glacier to melt. The ice shelf of the glacier had a thickness of approximately $$450\ m$$ when it was first discovered. The thickness of the ice shelf is decreasing at an average rate of $$.06\ m$$ per day.

Which function can be used to find the thickness of the ice shelf $$T\left(x\right)$$ , in meters, $$x$$ , days since the discovery?

Accepted Answer

$$T(x)=450-0.06x$$

Answer

$$T(x)=-0.06(x+450)$$

Answer

$$T(x)=450+0.06x$$

Answer

$$T(x)=0.06(x+450)$$

Question 6

An organization has a monthly budget of x dollars. Every month $2,070 is spent on salaries. One - fourth of the remaining budget is spent on monthly activities. Which function can be used to find the amount in dollars spent on monthly activities?

Accepted Answer

$$f\left(x\right)=\frac{x-2,070}{4}$$

Answer

$$f\left(x\right)=2,070+\frac{x}{4}$$

Answer

$$f\left(x\right)=2,070-\frac{x}{4}$$

Answer

$$f\left(x\right)\ =\frac{x+2,070}{4}$$

Algebra 1: Writing Linear Equations in Two Variables

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