7B: Solving Systems with Substitution

Quiz
•
Mathematics
•
8th Grade
•
Medium
+1
Standards-aligned
Toni Allen
Used 69+ times
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
You need scratch paper and a writing utensil for this quizizz. Get them now. You have 15 minutes before the timer for this question runs out.
I have my paper and pencil! LET'S GO!
Nah. (WRONG ANSWER)
Tags
CCSS.8.EE.C.7B
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What does a "solution to a system of equations" mean?
It's the point where both equations equal zero
It's the point where graphs of both equations cross the y-axis
It's the point that is true for both equations at the same time
It's the point where graphs of both equations cross the x-axis
Answer explanation
A solution to a system of equations is a point that will work in all equations within the system.
Tags
CCSS.8.EE.C.8B
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
How many solutions does the graph have?
One solution
No solution
Infinite solutions
Answer explanation
Parallel lines have the same slope. They will never intersect, so they have no common solution.
Tags
CCSS.8.EE.C.8B
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
How many solutions does the graph have?
One solution
No solution
Infinite solutions
Answer explanation
These lines intersect at ONE point. This means that only one point will be true for the equations of both lines.
Tags
CCSS.8.EE.C.8B
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
How many solutions does the graph have?
One solution
No solution
Infinite solutions
Answer explanation
The lines overlap everywhere, so they have the same equation.
This means the solutions for one equation are also the solutions for the other.
The lines go on infinitely in both directions, so there are an infinite number of points that are shared solutions.
Tags
CCSS.8.EE.C.8A
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which answer has a correct first step for solving this system without graphing:
3x + 3y = 3
y = 3x + 5
The variable is already isolated, so we've already solved the system.
The variable is already isolated for y, so we substitute it in the first equation and solve for x
3x + 3(3x + 5) = 3
Free sha vaca doo
The variable is already isolated for y, so we substitute it in the second equation and solve for x
y = 3(3x + 3y) = 3
Answer explanation
A variable is already isolated here, so we already have an equivalent expression from the second equation that can be substituted in place of y in the first equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Solve the following systems of equations using substitution:
x = 6
y = 2x - 3
(6, 6)
(6, 9)
(9, 6)
(9, 9)
Answer explanation
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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