Solving Systems by Substitution Lesson
Authored by Barbara White
Mathematics
9th Grade
CCSS covered
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12 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Solve the system of equations algebraically. Verify your answer using the graph.
y = 4x – 5
y = –3
What is the solution to the system of equations?
Tags
CCSS.8.EE.C.8B
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a set fee per class. Stepping Up charges a monthly fee, plus an additional fee per class. What is the system of equations representing these costs?
y = 5.5x and y = 7.5x + 10
y = 7.5x and y = 5.5x
y = 7.5x and y = 5.5x + 10
y = 7.5x + 10 and y = 5.5x + 10
Tags
CCSS.8.EE.C.8C
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a set fee per class. Stepping Up charges a monthly fee, plus an additional fee per class. The system of equations models the total costs for each.
y = 7.5x
y = 5.5x + 10
Substitute: 7.5x = 5.5x + 10
How many classes could Anna take so that the total cost for the month would be the same?
5 classes
1.3 classes
10 classes
7.5 classes
Tags
CCSS.8.EE.C.8C
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a set fee per class. Stepping Up charges a monthly fee, plus an additional fee per class. The system of equations models the total costs for each.
y = 7.5x
y = 5.5x + 10
Substitute: 7.5x = 5.5x + 10
What is the total monthly cost when it is the same for both gyms?
$75.00
$37.50
$65.00
Tags
CCSS.8.EE.C.8C
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Complete the statements about the system of linear equations represented by the tables.
The equation representing the left table is:
Tags
CCSS.6.EE.C.9
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Complete the statements about the system of linear equations represented by the tables. The equation representing the right table is:
Tags
CCSS.8.EE.B.5
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
The solution to the system of equations is:
Tags
CCSS.8.EE.C.8B
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