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Summative 2
  • Absolon “Sonny” Bugaoisan

  • 問題数 25 • 10/24/2023

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    問題一覧

  • 1

    Which of the following is the standard form of a linear equation? a) y = mx + b b) ax + by = c c) y = a(x - h)^2 + k d) None of the above

    b

  • 2

    What is the solution of the system of equations 2x - y = 5 and x + y = 1? . a) (2, -1) b) (-2, 1) c) (1, 2) d) (-1, 2)

    a

  • 3

    What is the solution of the system of equations 3x + 2y = 12 and -2x + 5y = 1? a) (19/27, 58/10) b) (58/19, 27/19) c) (3, 2) d) (2, 3)

    b

  • 4

    Which method involves adding or subtracting equations to eliminate one variable? a) Substitution b) Graphing c) Elimination d) None of the above

    c

  • 5

    What is the solution of the system of equations 4x - 3y = -2 and 2x + y = 7? a) (1, 3) b) (10/11, 1/12) c) (-1, 3) d) (19/10, 16/5)

    d

  • 6

    Which method involves solving one equation for one variable and substituting it into the other equation? a) Substitution b) Graphing c) Elimination d) None of the above

    a

  • 7

    What is the solution of the system of equations 5x + 3y = 8 and 4x + 2y = 6? a) (1, 2) b) (2, 1) c) (1, 1) d) (2, 2)

    c

  • 8

    Which method involves plotting both equations on the same coordinate plane to find their intersection point? a) Substitution b) Graphing c) Elimination d) None of the above

    b

  • 9

    What is the solution of the system of equations 2x - y = 1 and 4x - 2y = 2? a) (0, -1) b) (1, 2) c) (-1, 0) d)infinite solutions

    d

  • 10

    What is the solution of the system of equations 3x - 2y = 11 and 2x + 3y = 5? a) (1, -3) b) (-1, 3) c) (12/13, 1/12) d) (43/13, -7/13)

    d

  • 11

    A system of linear equations can have no solutions.

    True

  • 12

    A system of linear equations can have infinitely many solutions.

    True

  • 13

    The graph of a system of linear equations can intersect at a single point.

    True

  • 14

    The substitution method is a way to solve systems of linear equations.

    True

  • 15

    The elimination method involves adding or subtracting equations to eliminate one variable.

    True

  • 16

    If the graphs of two linear equations are parallel, the system has no solutions.

    True

  • 17

    If the graphs of two linear equations coincide, the system has infinitely many solutions.

    True

  • 18

    A system of linear equations with three equations and two variables can have a unique solution.

    False

  • 19

    The solution to a system of linear equations represents the point of intersection of the graphs.

    True

  • 20

    A system of linear equations can have more than one solution, but less than infinitely many.

    True

  • 21

    What is the expression of y in terms of x from the second equation of the system {3x + 2y = 16, 7x + y = 19}? A) y = 7x - 19 B) y = 19x - 7 C) y = 19 - 7x D) y = 16 - 3x

    c

  • 22

    What is the solution to the system {3x + 2y = 16, 7x + y = 19} using the Substitution method? A. (3,5) B. (-2,5) C. (5,-2) D. (2,5) ----------

    d

  • 23

    What is the fourth step to solve a system using the Substitution method? A) Plug in x to either equation to find the corresponding y-coordinate B) Plug in y to either equation to find the corresponding x-coordinate C) There is no fourth step D) Plug in x and y to both equations

    a

  • 24

    What is the third step to solve a system using the Substitution method? A) Solve an exponential equation B) Solve for x C) Solve a quadratic equation D) Solve for y E) Solve the equation in x ✔ ----------

    e

  • 25

    What is the second step to solve a system using the Substitution method? A) Substitute an expression for y in the second equation B) Substitute an expression for y in the other equation ✔ C) Substitute an expression for x in the second equation D) Substitute an expression for y in the same equation E) Substitute an expression for x in the same equation ----------

    b