Unit4_Review.docx
Name___________________
Period____
Date_____________
Unit4Review-SystemsofEquationsreviewproblemstopracticefortheUnit4test.
1. Graphthesystemofequationsshownbelow
anddeterminethepointofintersection.
𝑦 = 4𝑥 + 3
𝑦 = −𝑥 − 2
PtofIntersection=(_____,______)
2. Whatisthesolutiontothefollowingsystemofequation?Explainhowyouknow.
2𝑥 − 3𝑦 = 4
4𝑥 + 𝑦 = −6
A.)(5,−2)
B.)(−2,5)
C.)(−1,−2)
D.)(−2,−1)
!
3. Writetheequationofthelinethatisparalleltothegraphof𝑦 = ! 𝑥 + 6,and
whosey-interceptis+2.
4. Writetheequationofthelinethatisperpendiculartothegraphofy=−4x−9,and
whosey-interceptis+8.
Unit4_Review.docx
5.Findthesolutiontothesesystemsofequations(thecoordinates(x,y)ofthepointofintersection)
usinganymethodthatyouwant.
𝑦 = 2𝑥 − 3
𝑦 = 2𝑥 − 14
a)
b)
𝑦 = −𝑥 + 3
3𝑥 + 𝑦 = 16
Solution:(x,y)=(____,_____)
Solution:(x,y)=(____,_____)
6.Plotthecoordinates𝐴 1, 8 , 𝐵 4, 6 , 𝐶 1, −2 𝑎𝑛𝑑 𝐷(−2, 0)andthenusetheslopestodetermine
whattypeofshapeiscreatedwhenyouconnectthepointsinorder.
Beaspreciseaspossiblewhennaming
theshape.
Shapeis__________________________.