Graphing Linear Equations 2 — Basic Algebra

Questions in this quiz (10)

1. Line $$P$$ passes through the points: $$(-1,2)$$ and: $$(0,-2)$$ Line $$P$$ is the graph of which of the following equations?

   • $$y=4x+1$$
   • $$y=-4x-1$$
   • $$y=4x+2$$
   • $$y=-4x-2$$

2. The coordinate grid shows four lines labeled $$A$$, $$B$$, $$C$$, and $$D$$. Which line has a slope of: $$-\frac{1}{3}?$$

   • $$\text{line }A$$
   • $$\text{line }B$$
   • $$\text{line }C$$
   • $$\text{line }D$$

3. Which equation correctly describes the line shown on the graph above?

   • $$y=x-4$$
   • $$y=-x-4$$
   • $$y=x+4$$
   • $$y=-x+4$$

4. The coordinate grid shows the relationship between the number of gallons of gasoline purchased, $$x$$, and the total cost in dollars, $$y$$. What is the cost of the gasoline per gallon?

   • $$\$1.50\text{ per gallon}$$
   • $$\$2.00\text{ per gallon}$$
   • $$\$2.50\text{ per gallon}$$
   • $$\$3.00\text{ per gallon}$$

5. The graph shows the cost of a smartphone, $$y$$, after $$x$$ years on the market. At what rate does the price of the smartphone change each year?

   • $$\text{The price decreases by }\$45\text{ per year.}$$
   • $$\text{The price decreases by }\$55\text{ per year.}$$
   • $$\text{The price increases by }\$55\text{ per year.}$$
   • $$\text{The price decreases by }\$68\text{ per year.}$$

6. A contractor records the following carpet installation data. The x-coordinate represents the square yards of carpet installed, and the y-coordinate represents the total number of hours spent. It takes the contractor 1 hour to collect tools and travel to the worksite. What is the contractor's rate of installation time per square yard?

   • $$0.0125\text{ hr per sq yd}$$
   • $$0.01625\text{ hr per sq yd}$$
   • $$0.0375\text{ hr per sq yd}$$
   • $$80\text{ hr per sq yd}$$

7. A landscaping company buys decorative rock from a supplier that uses the metric system. There are 1.5 kilograms in every meter of edging material. The manager wants a graph showing the relationship between the number of meters purchased and the total kilograms. Which graph would correctly represent the relationship?

   • $$\text{A line passing through }(100,150),\ (300,450),\text{ and }(500,750)$$
   • $$\text{A line passing through }(100,100),\ (300,300),\text{ and }(500,500)$$
   • $$\text{A line passing through }(100,200),\ (300,600),\text{ and }(500,1000)$$
   • $$\text{A line passing through }(100,50),\ (300,150),\text{ and }(500,250)$$

8. A bakery uses 48 pounds of flour to make 960 loaves of bread. On another day, it uses 30 pounds of flour to make 600 loaves. How many pounds of flour are needed for one loaf?

   • $$0.02\text{ lb}$$
   • $$0.05\text{ lb}$$
   • $$20\text{ lb}$$
   • $$50\text{ lb}$$

9. A car travels at a constant speed. The distance traveled after different amounts of time is shown by the points: $$(2,120),\ (5,300),\ (7,420)$$ What is the unit rate of distance per hour?

   • $$50\text{ miles per hour}$$
   • $$60\text{ miles per hour}$$
   • $$70\text{ miles per hour}$$
   • $$120\text{ miles per hour}$$

10. A cleaning company records the time needed to clean different office spaces.$$ \begin{array}{c|c} \text{Office Area (sq ft)} & \text{Time (hr)}\\ \hline 400 & 2\\ 800 & 4\\ 1200 & 6 \end{array} $$What is the company's cleaning rate?

    • $$100\text{ sq ft per hour}$$
    • $$150\text{ sq ft per hour}$$
    • $$200\text{ sq ft per hour}$$
    • $$300\text{ sq ft per hour}$$