1 - A pair of linear equations which has a unique solution x = 2, y = –3 is
x – 4y –14 = 05x – y – 13 = 0
2 - Axes in three dimension coordinate system divide plane in three spaces called
octants
3 - By substituting k in place of 'c⁄a' in equation x = c⁄a, then k is considered as
real number
4 - Directly proportional increase and decrease in values of y and x on a straight line shows slope is
positive
5 - Equation of straight line with slope -8 and y intercept (0,16) is written as
y = 16x+(-8)
6 - Equations in linear system are considered as
first-degree equation
7 - Example of linear equation involving two variables is
6x+2y = 10
8 - First step in graphing linear equation is to
identify and plot coordinates
9 - For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent coincident lines?
2
10 - Formula of calculating slope is
change in y⁄change in x
11 - Formula such as dollars of interest earned divided by total dollars invested is used to calculate
average percent return
12 - Graph of linear equation with two variables is plotted in
one dimension
13 - Graphically, the pair of equations (a)6x – 3y + 10 = 0 (b)2x – y + 9 = 0 represents two lines which are
parallel
14 - If 2x + 3y = 29 and y = x + 3, what is the value of x ?
4
15 - If a pair of linear equations is consistent, then the lines will be
intersecting or coincident
16 - If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is
15/4
17 - If two straight lines have same slope then these two lines are classified as
parallel lines
18 - If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are, respectively
3 and 1
19 - In Gaussian elimination method, original equations are transformed by using
row operations
20 - In graphical representation of straight line, important attributes are
Both (b) and (c)
21 - In graphically representation of equation, number of dimensions is determined by
number of variables
22 - In linear equation ax = c, simplified form is
x = c⁄a
23 - In linear equation 'ax+by = c' a and b cannot be equal
to zero
24 - In linear equation 'ax+by = c' a,b and c are considered as
constants
25 - In linear equation 'x = c⁄a' with undefined slope, slope is represented with
vertical lines
26 - In linear equation x = c⁄a, a and c are
constants
27 - In ordered pair (-8,6) of linear equation, y-intercept is
6
28 - In ordered pair (9,-5) of linear equation, x-intercept is
9
29 - In slope intercept form of linear equation 'y = mx+k', k is
y-coordinate of y-intercept
30 - In three dimensional coordinate systems, coordinates are
perpendicular to each other
31 - Inversely proportional increase and decrease in values of y and x on a straight line shows slope is
negative
32 - Method in which both sides of equation are multiplied by nonzero constant is classified as
Gaussian elimination method
33 - Method used to for two and three variable systems is the
elimination procedure
34 - More steepness of angle of straight line depends upon absolute value which is relatively
greater
35 - Number of ordered pair values (x,y) to satisfy linear equation ax + by = c are
finite
36 - One equation of a pair of dependent linear equations is –5x + 7y = 2. The second equation can be
10x – 14y = –4
37 - Ordered pair of x-intercept can be find by substituting the
y = 0
38 - Ordered pair of y-intercept can be find by substituting the
x = 0
39 - Point on graph where equations intercept crosses x-coordinate is called
x-intercept
40 - Point on graph where equations intercept crosses y-coordinate is called
y-intercept
41 - Rate at which value of y changes as value of x changes is classified as
slope
42 - Relative steepness of slope of straight line of equation is indicated with
absolute value
43 - Rise of straight line along x-axis from left to right is called
inclination of line
44 - Set which consists of more than one equation is classified as
system of equations
45 - Single order pair of variables that satisfy equation systems then this is called
unique solution
46 - Slope intercept form of linear equation in generalized form is as
y = mx+k
47 - Slope intercept form of linear equation is
y = c⁄b - ax⁄b
48 - Slope is change in value of y in relevation of increase in x by
one unit
49 - Slope of linear equation straight line is quantified with help of
real numbers
50 - Slope of straight line is referred as
inclination of line
51 - Slope of straight line of any equation which falls from left to right with intercepts is classified as
negative slope
52 - Slope of straight line of any equation which rises from left to right with intercepts is classified as
positive slope
53 - Slope of straight line of any equation with intercepts can be
all of above
54 - Slope of straight line with two connecting points is determined by the
two-point formula
55 - Solution set in which there are infinite solution or no solutions is classified as
(2x3) system
56 - Solve for value of x and y if 5x - y = 5 and 3x + 2y = 29
x = 3, y = 10
57 - Solve simultaneous equations 13x - 6y = 20, 7x + 4y = 18
x = 2, y = 1
58 - Solving equations 1⁄3(x + y) = 1⁄5(x - y), 3x + 11y = 4 gives
x = 16, y = -4
59 - Solving equations 3x - 2y = 13, 2x + 2y = 0 using graphical method gives us
x = 2.6, y = -2.6
60 - Solving following simultaneous equations, 4x - 5y = 17 and x - 5y = 8, we get
x = 3, y = -1
61 - Steepness of angle of linear equation straight line rise or fall depends upon the
absolute value
62 - Straight line of linear equation on graph which have slope = 0 is
horizontal
63 - Straight line with vertical lines exception is characterized with help of
slope
64 - System of equation for two variables a and b is written as
(a)(b)
65 - System of equations is always characterized by its
dimensions
66 - The pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 have
no solution
67 - The pair of equations x = a and y = b graphically represents lines which are
intersecting at (a, b)
68 - The pair of equations y = 0 and y = –7 has
no solution
69 - The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is
no value
70 - Three dimensional coordinate system is one in which coordinates intersect each other atA
zero points
71 - Two equations that can be drawn as same line on graph then these equations are considered as
equivalent equations
72 - Two equations that have no values to satisfy both equations then this is called
inconsistent system
73 - Two variables x and y if involved in linear equation then equation is
ax+by = c
74 - Variables of linear equation is implicitly raised to
first power
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