Functions and Linear Equations: Identifying Tables, Graphs, and Equations, Lecture notes of Linear Algebra

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Read each question carefully. Which of the following tables best represents the graph of the linear equation? A) C) B) D)

Table 1 Table 2 Table 3 Table 4

Which ordered pair ( x , y ) can be added to the table so that y is still a function of x? A) C) B) D)

(1, 1) (14, 7) (17, 8) (-5, 1)

Which graph shows y as a function of x? A) C) B) D)

Figure 1 Figure 2 Figure 3 Figure 4

Which table DOES NOT represent a function? A) C) B) D)

Which table DOES NOT represent a function? A) C) B) D)

Which linear function listed below represents a greater rate of change, and what is the slope of the function? A) C) B) D)

Which function has a greater rate of change? A) C) B) D)

The rate of change is the same for both functions. Function 1 has a greater rate of change. Function 2 has a greater rate of change. There is not enough information to determine which function has a greater rate of change.

Which linear function listed below represents a greater rate of change, and what is the slope of the function? A) C) B) D)

Function 1 has the greater rate of change; the slope is 3. Function 1 has the greater rate of change; the slope is 4. Function 2 has the greater rate of change; the slope is 5. Both functions have equal rates of change; both slopes are 3.

Which equation is related to the graph shown below? A) C) B) D)

Which best represents the graph of y = - 3 x + 4? A) C) B) D)

Graph A Graph B Graph C Graph D

The cost of pizza follows the equation y = 2 x + 8 where x represents the number of toppings on the pizza. What does the slope of the equation represent? A) C) B) D)

the cost for each slice of pizza the total cost for all toppings on the pizza the cost for each topping on the pizza the total cost for the pizza and delivery What is the equation of the line that fits the data below? A) C) B) D)

y = 4 x - 3 y = 3 x - 4 y = 4 x - 4 y = 4 x + 4

The table below shows the cost to produce a given number, x , of toy cars. Which expression best represents the relationship? A) C) B) D)

2 x + 30 3 x + 20 2 x - 30 3 x - 20 The table below shows the cost to produce a given number, x , of toy boats. Which expression best represents the relationship? A) C) B) D)

2 x + 30 3 x + 20 2 x - 30 3 x - 20

Which graph shows the water level of a bathtub which is filled and then emptied? A) C) B) D)

Which graph shows a car stopped at a stop sign, increasing to the speed limit, and then traveling at the speed limit? A) C) B) D)