Math topic中文

Ordered pairs graph

graph of a set of ordered pairs as a representation of a relationship between two variables

Practice questions

1The variables x and y are connected by the equation $y = 2x^3 - 21x^2 + 54x$ . Some corresponding values of x and y are g…
2数对 $(1,3)$ 和 $(3,1)$ 表示的位置是一样的。 ___ $($ 判断对错 $)$
3Complete the table of values for $y = x - \frac{4}{x^2}$ . Values are given to one decimal place where appropriate. Compl…
4The variables x and y are connected by the equation $y = x + \frac{5}{x^2} - 3$ Some corresponding values of x and y are…
5The variables x and y are connected by the equation $y = \frac{x^3}{5} - 2x + 1$ . Some corresponding values of x and y a…
6The table shows some values for $y = \frac{3}{10}x^3 - x + 1$ for $-3 \le x \le 3$ . | x | -3 | -2 | -1 | 0 | 1 | 2 | 3 |…
7Complete the table of values for $y = 2x + \dfrac{20}{x} - 15$ . | x | 1 | 2.5 | 5 | 10 | 12.5 | 15 | 20 | |---|---|---|-…
8The variables x and y are connected by the equation $y=\frac{x^3}{5}-2x+2$ . Some corresponding values of x and y are giv…
9 $y = \dfrac{x^3}{4} - 2x + 3$ . Complete the table of values for $y = \dfrac{x^3}{4} - 2x + 3$ . On the grid opposite, dra…
10The table below is for the function $y = \dfrac{x^{3}}{4} - 2x + 1$ . Complete the table of values for $y = \dfrac{x^{3}}{4} - 2x + 1$ …
11The number of bacteria in a colony doubles every hour. The colony starts with: 50 bacteria. The table below shows the nu…
12The curve $y = a + b\sin cx$ is defined for $0 \le x \le 2\pi$ . The curve has a period of $\pi$ , and the minimum value o…
13Complete the table of values for $y=\dfrac{2}{x^{2}}-2x. Values are given to one decimal place where appropriate. On the grid opposite, draw the graph of$ …
14Answer the whole of this question on a piece of graph paper. The variables x and y are related by the equation $y = x^3 - 3x^2 + 1$ …
15The table of values for $y = x + \dfrac{5}{x} - 7$ is given below. | x | 0.5 | 1 | 1.5 | 2 | 3 | 4 | 5 | 6 | 7 | |---|--…
16王明在班上的座位用数对表示是 $(3,6)$ ，表示他坐在第 列第 行。后来老师把他往前调了 $2$ 排，列数不变，这时他的位置是 $($ ， $)$ 。
17在同一平面内，点 $A(4,4)$ 在点 $B(3,4)$ 的 ___面，点 $C(3,5)$ 在点 $B$ 的 ___面。
18Malaika is skiing on a mountain. The graph below shows her elevation, in meters, above the base of the mountain as she s…
19The variables x and y are connected by the equation $y = \frac{1}{3}x(11 - x^2). Some corresponding values of x and y, correct to 1 decimal places, are given in the following table. Calculate the value of p. Answer p = ... On the grid opposite, draw the graph of$ …
20Let $y = 2x^3 - x^2 - 10x$ . Complete the table of values for $y = 2x^3 - x^2 - 10x$ . On the grid opposite, draw the grap…
21The variables x and y are connected by the equation $y = 2x + \dfrac{6}{x} - 7$ . Some corresponding values of x and y ar…
22The variables x and y are connected by the equation $y = \frac{3}{2}x + \frac{5}{x} - 7$ . Some corresponding values of x…
23The variables x and y are connected by the equation $y = x^3 - 3x + 1$ . Some corresponding values of x and y are given i…
24到电影院看电影，小华坐在4排5座，用（4，5）表示；小明坐在8排3座，应该用表示；小青的座位用（7，2）表示，她应该坐在排座．
25Complete the table of values for $y = 10 - \frac{x^2}{2} - \frac{4}{x}$ . Complete the table of values for $y = 10 - \frac{x^2}{2} - \frac{4}{x}$ …
26The table shows experimental values of two variables, x and y, which are connected by an equation of the form $y^{n} x^{k} = 10$ …
27A liquid container, 30 cm tall, can be modelled by a frustum, A, placed below a cylinder B, as shown in Figure 1. Figure…
28Complete the table of values for $y = 2x + \dfrac{9}{x} - 11$ . Values are given to 1 decimal place where appropriate. |…
29The table shows some values for $y = 4 - 2x - \dfrac{5}{x}$ for $0.5 \le x \le 5.5$ . Find the value of $p$ , correct to o…
30The speed-time graph of a particle is shown in the diagram above. Find the speed when t = 25, Answer ... m/s the distanc…
31Answer (b), (c) and (d) Complete the table of values for y = $\dfrac{x^3}{5} - x^2 + 2$ . On the grid in the next page,…
32The variables x and y are connected by the equation $y = \frac{x^2}{3} + \frac{3}{x} - 4$ . Some corresponding values of…
33The variables x and y are connected by the equation $y = \frac{x^3}{2} - 5x - 2$ . Some corresponding values of x and y a…
34小明的位置在教室里是第3行，第4列，用数对表示是（，），坐在他后面的同学用数对表示是（，）．
35A ball was thrown up from the top of a cliff as shown below. The height of the ball, h metre, from the sea level is meas…
36Complete the table of values for $y = 2x + \dfrac{1}{x^{2}} - 4$ . Values are given to two decimal places where appropria…
37A solid cylinder of height h cm and volume V cm^3 is cut from a solid sphere of radius 7 cm. The rim of each base of the…
38Mabel wants to fence off some land as an enclosure for her chickens. The enclosure will be a rectangle with an area of 6…