Reinforcement Math [PDF]

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REINFORCEMENT MATH 1.



Draw the straight lines of the following gradients : a.



2.



-2



b. 4/ 5



Set up the table of values for x and y that unknown. These pairs of values for x and y satisfy the equation of the function y = 2x – 5 x y



3.



0



5 -1



3



Draw linear equation of y = 3x – 2, for values of x = -3 until 3



4.



Find the gradient of two following points (5,7) and (-3, 4)



5.



Using the elimination method, solve each of the following pairs of simultaneous equation if possible: 4x – 3y = -1 5x - 2y = 4



6.



Using the elimination method, solve each of the following pairs of simultaneous equation if possible: 7x – 3y = 18 6x + 7y = 25



7.



Expand and simplify each of the following expression : a. 5 (2 + x) + 3 (x - 6) b. 4d (3d – 2) – 2d(1 – 2d) c. (3a + b) (a + 2b) d. (p + 6)2



8.



Factorise the following expression : a. 45x2 + 9x b. x2 + 10x + 21



11. In each of the following question, formulate a pair of linear question in 2 variables to solve the problem : Devi pays $ 10.6 for 4 cheersburger and 3 cups of derink. Amirah pays $ 3.10 for a cheeseburger and 1 cup of drink. Find the cost of each item! _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ 12. The equation of a function is y = -2x + 5. Find the value of y when : a. x = 1



b. x = -3



13. The equation of a function is y = 5 - 4x. Find the value of x when : a. y = 1



b. y = -5



_________________________________________________________________________________ _________________________________________________________________________________ ____________________________________________________________



14. Huixian’s father gives her $ 120 as her monthly allowance a. If she spends an average of $ 5 each day, find the amount of moey that she left with after i) 3 days



ii). 6 days



iii). 10 days



_____________________________________________________________________________ _____________________________________________________________________________ _____________________________________________________________________________



b. Given that $ y represents the amount of money Huixian has left after x days, copy and complete the table. X



2



Y



............



6 ................



10 .................



c. On a sheet of graph paper, using a scale of 1 cm to represent 1 day on the horizontal axis abd 1 cm to represent $ 10 on the vertical axis, plot the pairs of values of (x,y)



d. From the graph, find the growth after 20 days. ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________