InkLoop/NYS Standards/NY-A.REI.5NY-A.REI.5
Algebra IReasoning with Equations and Inequalities70 target questions
Prove that given a system of two equations in two variables replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
Sample Practice Questions (3)
1
The graph below shows the system . If we replace the second equation with the sum of the two equations, , where will the new line intersect the first line ?
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
2
The system of equations and is graphed below. If we create a new equation by adding these two equations together, which statement is true about the graph of the new equation?
AIt must pass through the point .
BIt will be parallel to the line .
CIt will have the same y-intercept as .
DIt will be a vertical line.
Multiple choice · diagramSee Answer + Explanation →
3
A system is represented by the matrix below. If Row 2 is replaced by , what is the new value of the element in the second row, third column?
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
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NY-A.SSE.1aInterpret parts of an expression such as terms factors and coefficients in context.→NY-A.SSE.1bInterpret complicated expressions by viewing one or more of their parts as a single entity.→NY-A.SSE.2Use the structure of an expression to identify ways to rewrite it. For example see x⁴ - y⁴ as (x²)² - (y²)² and factor accordingly.→NY-A.SSE.3aFactor a quadratic expression to reveal the zeros of the function it defines.→