Can you help me figure these out?
1. Complete these factorisations.
a) 10a + 15 = 5(____+____)
b) 3k - 9 = ____(k - 3)
c) 8m + 4n + 2q = 2(____+____+____)
d)2p*+ 4p = 2p(____+____)
* = Squared
2. a)Complete the table below for the function y = 16-3x(see 1st attachment)
b) Graph the function y = 16 - 3x on the grid given (attachment 2)
b) does the pont (5, 2) lie on the line?
c) Does the pair of equations, y = 16 - 3x and 3y = 48 - 9x represent the same line? Show why or why not.
a) Complete this Table (see 1st attachment)
b) Using the x axis to represent side length and the y axis to represent the perimeter, draw a graph by plotting the points on the number plane below.
(see 2nd attachment)
c) join the points.
Draw appropriate lines on your graph to:
i. find the perimeter of a square with side lengh 2 cm. P = ______________
ii. find the side length of a square with perimeter 24 cm. S = _______________
1.Originally Posted by Missy_Wattle
a)
b)
c)
d)
With the factoring, find a common factor from the expression. For example, if you want to factor 3x+6, the common factor is 3, so you take that out: 3(_ + _). Now, you have to see what multiplied by 3 equals 3x. That is x, so put x in 3(x + _). Now, what multiplied by 3 gives 6? 2, so put two in as well: 3(x+2).
2.
a) Plug different x values into the equation y = 16 - 3x to get the y-values.
For x = 0, y = 16-3(0) = 16
For x = 1, y = 16-3(1) = 13
For x = 2, y = 16-3(2) = 10
For x = 3, y = 16-3(3) = 7
For x = 4, y = 16-3(4) = 4
b) First, draw your x and y axes. If you want, mark points on the axes so you can be accurate. The values from the previous question represent points (x,y). They are (0,16), (1,13), (2,10), (3,7), (4,4). Take any two of these points, and draw a straight line through them. This will give you the line y = 16 - 3x.
c) To test if (5,2) lies on the line, substitute x = 5 into the equation:
So when x = 5, y = 1, and the point is (5,1). Therefore, (5,2) does Not lie on the line.
d) Yes, they do. To see why, simply divide the second equation by 3, and you will get, which is the same as the first equation.
a) A square has 4 equal sides, and if you add all of them up you get the perimeter. So if you are given 1 side length, simply multiply that by 4 to get the perimeter.
Side length of 1: Perimeter of 1*4 = 4
Side length of 3: Perimeter of 3*4 = 12
Side length of 5: Perimeter of 5*4 = 20
Side length of 7: Perimeter of 7*4 = 28
b) If you let x represent the side length and let y represent the perimeter, then you can have points (x,y) showing the side length and corresponding perimeter. From the previous question, we have (1,4), (3,12), (5,20), (7,28). Simply plot these points on the graph, remembering that the first number is horizontal distance, and the second is vertical distance.
c)
i) Extend your line and try to predict what the y-value is when the x-value is 2.
ii) Try to find the x-value when the y-value is 24.
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