Solving System of Equations
Authored by Anthony Clark
Mathematics
8th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Jessica is solving the system of equations shown below. If she graphs this system on a coordinate plane, how could she interpret the solution of this system?
The system will be parallel.
The system will be one line.
The system will intersect at one point.
The system will intersect at two different points.
Tags
CCSS.8.EE.C.8B
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A jar contains only nickels and quarters. The total number of coins in the jar is 15. The total value of the coins is $2.35. Which system of equations represents this situation?
n + q = 2.35
.05n + .25q = 15
n + q = 15
.5n + .25q = 15
n + q =15
.05n + .25q = 2.35
.05n + q = 15
n + .25q = 2.35
Tags
CCSS.HSA.CED.A.3
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The cost for renting kayaks at Company A is c = 5h + 20. The cost for renting at Company B is c = 7h + 12. What is the number of rental hours for which the cost will be the same for both companies?
4 hours
5 hours
8 hours
16 hours
Tags
CCSS.8.EE.C.8C
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Jan has $100 in her bank account. She adds $15 to her account each month. Maura had $130 in her bank account . She adds $10 to her account each month. A system of equations is used to find how many monthly deposits will be needed for the accounts to have equal balances. Which graph correctly depicts this system of equations and its solution?
Tags
CCSS.8.EE.C.8C
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7
yes
no
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the first step in solving a system by Substitution?
Make sure both equations are in standard form.
Make sure at least one equation is solved for one variable.
Make sure both equations are in slope-intercept form.
Make sure both equations can be solved.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the system of equations.
(10, 3)
(6, 3)
(15, 3)
No solution
Infinite Solution
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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