Adding Equations in a System: Using the Addition Property of Equality

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Mathematics
•
1st - 6th Grade
•
Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the addition property of equality state?
Adding the same value to both sides of an equation results in a true equation.
Subtracting the same value from both sides of an equation results in a false equation.
Adding different values to both sides of an equation results in a true equation.
Multiplying both sides of an equation by different values results in a true equation.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the system x + y = 5 and x - y = 1, which pair is a solution?
(1, 4)
(2, 3)
(3, 2)
(4, 1)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the pair (3, 2) a solution to the system x + y = 5 and x - y = 1?
It satisfies only the second equation.
It satisfies neither equation.
It satisfies only the first equation.
It satisfies both equations.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens when you add the equations x + y = 5 and x - y = 1?
You get 2x = 6, which confirms x = 3.
You get 2x = 5, which confirms x = 2.5.
You get 2x = 7, which confirms x = 3.5.
You get 2x = 4, which confirms x = 2.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the system y = 2x - 3 and x - 2y = 0, what is the solution?
(0, 3)
(3, 0)
(2, 1)
(1, 2)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you verify that (2, 1) is a solution to the system y = 2x - 3 and x - 2y = 0?
By substituting into neither equation.
By substituting into both equations and checking for true statements.
By substituting into only the second equation.
By substituting into only the first equation.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of adding y = 2x - 3 to x - 2y = 0?
x - y = 2x - 3
x + y = 2x - 3
x - y = 3x - 3
x + y = 3x - 3
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