8th Grade Math Revision Sheet 1st Term Exam PDF

Math Department 8th Grade Revision sheet 1st Term Exam Name:………… Class:…………. 1 QA) Solve. 1) Find the solution for systems of equations by graphing. 𝒀 = 𝟐𝒙 + 𝟓 𝟏 𝒀 = − 𝒙 𝟐 2) Find the solution for systems of equations...

Math Department 8th Grade Revision sheet 1st Term Exam Name:………… Class:…………. 1 QA) Solve. 1) Find the solution for systems of equations by graphing. 𝒀 = 𝟐𝒙 + 𝟓 𝟏 𝒀 = − 𝒙 𝟐 2) Find the solution for systems of equations by graphing. 𝒀 = −𝟒 𝒙 + 𝟐 𝒀 = −𝟒 𝒙 − 𝟓 3) Find the solution for systems of equations by graphing. 𝟏𝟓𝒙 + 𝟓 𝒚 = 𝟐𝟓 𝒀 = −𝟑𝒙 + 𝟓 4) Determine whether each systems of equations shown in the graph has no solution , infinitely many solutions or one solution. c) a) 2  d) b) QB) Solve the system using substitution method. 1) 𝒚 = 𝒙 − 𝟏 𝒙+ 𝒚=𝟕 2) 𝟒𝒙 + 𝟖𝒚 = −𝟖 𝒙 = −𝟐 𝒚 + 𝟏 3) 𝒚 = 𝟐𝒙 + 𝟏 𝟒𝒚 − 𝟓𝒙 = 𝟏𝟑 3  4) 𝟒𝒙 + 𝟑 𝒚 = 𝟑𝟎 𝒙 = 𝟓𝒚 − 𝟒 5) 𝟐𝒙 + 𝟐𝒚 = 𝟔 𝟒𝒙 + 𝟒𝒚 = 𝟒 Qc)Solve. 1) Richard and Teo have a combined age of 29. Richardis8 years older than twice Teo's age. Write the systems of equations that represent the situations? 2) Skyler buys 22 T-Shirts and 51 hats for $800. The next day, he buys 8T- shirts and 3 hat for $110. Write a system of equations that can be used to solve the problem. 3) A vacation resort offers surfing lessons and parasailing. If a person Takes a surfing lesson and goes parasailing, she will pay a total of $175 On Friday the resort collects a total of $3,101 for activities. Write a system of equations that can be used to solve the problem. 4 QD) Solve the system by substitution method. 1) 𝒙 − 𝒚 = 𝟒 𝟐𝒙 + 𝒚 = 𝟓 2) 𝟑𝒙 + 𝟐𝒚 = 𝟖 𝒙 + 𝟒 𝒚 = −𝟒 3) 𝟒 𝒙 − 𝟑𝒚 = 𝟏𝟕 𝟐𝒙 − 𝟓𝒚 = 𝟓 4) 𝟕𝒙 − 𝟒 𝒚 = −𝟏𝟐 𝒙−𝟐𝒚 = 𝟒 5 QE) Is each pair of systems of equations equivalent? 1) 𝟑𝒙 – 𝟗 𝒚 = 𝟓 𝟔𝒙 – 𝟗 𝒚 = 𝟏𝟎 𝟔𝒙 + 𝟐 𝒚 = 𝟏𝟖 𝟔𝒙 + 𝟐 𝒚 = 𝟏𝟖 𝟐) 𝟒𝒚 + 𝟐𝒙 = −𝟕 𝟒𝒚 + 𝟐𝒙 = −𝟕 𝟐𝒚 − 𝟔𝒙 = 𝟖 𝟒 𝒚 − 𝟏𝟐 𝒙 = 𝟏𝟔 QF) What inequality shown in the graph. 1) 6 2) 3) 4) 7 QG) Tell whether the ordered pairs (5, -2) and (9, 10) is a solution for the inequality y > 5x +2 ……………………………………………………………………………… ……………………………………………………………………………… ……………………………………………………………………………… QH) What system of inequalities is shown by the graph? 1) 8 2) 9