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Linear Equations in Two Variables: Practice 3

Section A: Core Practice

Question 1mcq
For the line y=3x−2y=3x-2, what are the slope and yy-intercept?
A.Slope 33, y-intercept −2-2.
B.Slope −2-2, y-intercept 33.
C.Slope 3x3x, y-intercept 00.
D.Slope 11, y-intercept −2-2.
Question 2mcq
Solve the equation 2x+3=92x+3=9.
A.99
B.22
C.44
D.33
Question 3mcq
Which method is most appropriate for checking a mathematical answer?
A.Ignore the units.
B.Choose the longest option.
C.Substitute the answer back into the original condition.
D.Use only the diagram's appearance.
Question 4mcq
Which method is most appropriate for checking a mathematical answer?
A.Choose the longest option.
B.Substitute the answer back into the original condition.
C.Ignore the units.
D.Use only the diagram's appearance.
Question 5mcq
Which method is most appropriate for checking a mathematical answer?
A.Substitute the answer back into the original condition.
B.Choose the longest option.
C.Ignore the units.
D.Use only the diagram's appearance.

Section B: Application Practice

Question 6mcq
Which method is most appropriate for checking a mathematical answer?
A.Use only the diagram's appearance.
B.Choose the longest option.
C.Ignore the units.
D.Substitute the answer back into the original condition.
Question 7mcq
The equations x+y=8x+y=8 and x−y=2x-y=2 are solved together. What is the value of xx?
A.66
B.33
C.55
D.44
Question 8mcq
Which ordered pair satisfies the equation 2x+y=92x+y=9?
A.(2,4)(2,4)
B.(3,3)(3,3)
C.(5,1)(5,1)
D.(1,5)(1,5)
Question 9mcq
Solve the equation 2x+4=102x+4=10.
A.33
B.22
C.44
D.1010
Question 10mcq
Which method is most appropriate for checking a mathematical answer?
A.Use only the diagram's appearance.
B.Choose the longest option.
C.Ignore the units.
D.Substitute the answer back into the original condition.