Special Linear Relationships — Unit test Answers

Which is the graph of the equation ?

Katarina wrote the standard form of a linear equation as 4x – y = 8. Sofiya told her that the equation was not yet in standard form and gave her the right advice for how to fix it. What advice did Sofiya give to Katarina?

A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping cost as a function of x, the weight in pounds?

The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = (x – 1). What is the slope-intercept form of the equation for this line?

Which equation represents a line that passes through (2, –) and has a slope of 3?

A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).

The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.

The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height.

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2 when a = –2. Which equation represents this direct variation between a and b?

Which shows the graph of x – 4y =–4?

Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

The graph shows the amount of money Miguel earns after working x hours.

The table shows the profit from a school book fair based on the number of books sold.

A line contains points M(1, 3) and N(5, 0). What is the slope of MN?

Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function?

Alejandra correctly wrote the equation y – 3 = (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

Which graph represents a function with direct variation?

Will’s meal of grilled chicken strips and carrots contained a total of 333 calories. The bag of grilled chicken strips contained x servings of 110 calories each. The bag of carrots contained y servings of 29 calories each. Which equation written in standard form represents the number of servings of chicken strips and carrots that Will may have eaten?

A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of the ramp is 12 inches. At a point 6 feet from the driveway, the height of the ramp is 18 inches. What is the rate of change of the ramp’s incline?

A coordinate plane from negative 8 to 8 along the x-axis and from negative 7 to 7 along the y-axis.