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Linear Equations in Two Variables: Practice 1

Section A: Core Practice

Question 1mcq
Which is a linear equation in two variables?
A.2x+3y=122x+3y=12
B.xy=10xy=10
C.x2+y=5x^2+y=5
D.1x+y=4\frac{1}{x}+y=4
Question 2mcq
A student is practising Linear Equations Basics. Which statement best matches the idea: Check whether an ordered pair is a solution?
A.Ignore the given conditions and choose any formula.
B.Use only a guess because diagrams are always exact.
C.Use the correct definition or theorem and justify each step with mathematical reasoning.
D.Change the question so the answer becomes easier.
Question 3mcq
Which is a linear equation in two variables?
A.2x+3y=122x+3y=12
B.xy=10xy=10
C.x2+y=5x^2+y=5
D.1x+y=4\frac{1}{x}+y=4
Question 4mcq
A student is practising Tables and Graphs. Which statement best matches the idea: Create a value table for a linear equation?
A.Ignore the given conditions and choose any formula.
B.Use only a guess because diagrams are always exact.
C.Change the question so the answer becomes easier.
D.Use the correct definition or theorem and justify each step with mathematical reasoning.
Question 5mcq
To graph x+y=5x+y=5, which two points can be plotted and joined?
A.(5,5)(5,5) and (10,10)(10,10)
B.(0,0)(0,0) and (5,5)(5,5)
C.(0,5)(0,5) and (5,0)(5,0)
D.(1,1)(1,1) and (2,2)(2,2)

Section B: Application Practice

Question 6mcq
A student is practising Tables and Graphs. Which statement best matches the idea: Interpret points on and off a line?
A.Use only a guess because diagrams are always exact.
B.Use the correct definition or theorem and justify each step with mathematical reasoning.
C.Ignore the given conditions and choose any formula.
D.Change the question so the answer becomes easier.
Question 7mcq
For the line y=3x−5y=3x-5, what are the slope and y-intercept?
A.Slope −5-5, y-intercept 33.
B.Slope 3x3x, y-intercept 55.
C.Slope 33, y-intercept −5-5.
D.Slope −3-3, y-intercept 55.
Question 8mcq
Which is a linear equation in two variables?
A.x2+y=5x^2+y=5
B.2x+3y=122x+3y=12
C.xy=10xy=10
D.1x+y=4\frac{1}{x}+y=4
Question 9mcq
A student is practising Linear Equations Basics. Which statement best matches the idea: Check whether an ordered pair is a solution?
A.Change the question so the answer becomes easier.
B.Use only a guess because diagrams are always exact.
C.Use the correct definition or theorem and justify each step with mathematical reasoning.
D.Ignore the given conditions and choose any formula.
Question 10mcq
Which is a linear equation in two variables?
A.xy=10xy=10
B.2x+3y=122x+3y=12
C.1x+y=4\frac{1}{x}+y=4
D.x2+y=5x^2+y=5