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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