SYSTEMS QUIZ REVIEW Topics to Study - Mr. Scott's Webpage · 2017-12-12 · Algebra 1 300 Name_____...
Transcript of SYSTEMS QUIZ REVIEW Topics to Study - Mr. Scott's Webpage · 2017-12-12 · Algebra 1 300 Name_____...
Algebra 1 300 Name____________________
Systems Quiz Review Date__________
SYSTEMS QUIZ REVIEW
Topics to Study:
• Linear Systems
o Two linear equations. . .we are interested in if and where they intersect.
o If the lines intersect, then there is only ONE solution.
o If the lines are parallel, then there is NO solution.
o If the lines are the same, then there are an INFINITE # of solutions.
• Graphing Method
o Write each equation in slope intercept form and graph the lines.
o The solution is where they intersect.
• Substitution Method
o Transform one equation for one variable and then plug it into the other
equation.
o Solve and then find the other variable.
• Elimination
o Find one variable that has the same coefficients and then add/subtract the
equations.
o If the variables do not have the same coefficients then multiply the equations
by a number that will make them equal. Then add/subtract.
*****Always check your answers by PLUGGING POINT BACK INTO BOTH
ORIGINAL EQUATIONS!
Algebra 1 300 Name____________________
Systems Quiz Review Date__________
Part I: Solve the systems by the graphing method.
1. 4
3 2
y x
y x
2.
1
5 7
x y
x y
3. 4 2 6
3
x y
x y
4.
2 4
7
y x
y
Algebra 1 300 Name____________________
Systems Quiz Review Date__________
Part II: Solve by the substitution method.
5. 3
5 16
x y
x y
6.
8 3
4 5 15
x y
x y
7. 9 2 6
3 12
p q
p q
8.
6 4 5
9 6 8
x y
x y
9. 3
2𝑥 + 𝑦 = −5 10. −𝑥 + 3𝑦 = −10
3𝑥 + 2𝑦 = −10 −3𝑥 + 2𝑦 = −27
Algebra 1 300 Name____________________
Systems Quiz Review Date__________
Part III: Solve by the elimination method.
11. 2 3 1
3 4
a b
a b
12.
5 9 3
4 3 6
x y
x y
13. 2 3 1 0
3 5 2 0
p q
p q
14.
5 11
4 2
33
x y
yx
15.
18 10
3
520 25
6
a b
a b
16. 5y = -7x - 7
8 = 6y – 8x
Algebra 1 300 Name____________________
Systems Quiz Review Date__________
Part III: Solve by your favorite method.
17. 2𝑥 + 3𝑦 = 19 18. 2𝑥 − 2𝑦 = 0
−4𝑥 − 𝑦 = −8 3𝑦 = −8𝑥 + 10