Download Linear equations Chapter review

Progetto CLIL - Liceo Scientifico “N. Copernico” – a. s. 2016-2017
prof. Silvia Valente
Linear equations Exercises
1) Classify each of the following as true or false:
a. (-1,-6) is a solution of 4x-y=2.
b. 3x-y=4 and y=3x-4 are equivalent.
c. The abscissa of (2, -5) is -5.
d. The graph of 2x-3y=6 is a line, for all real numbers x and y.
e. The point with coordinates (1,-2) is on the graph of 3x-2y=1.
f. The graph of x=0 is the y-axis.
g. y=6x-1 is a linear equation in implicit form.
h. The equation of the horizontal line passing through (3,-2) is x=-2
i.
The graph of x+y=3 crosses the x-axis at (0,3).
j.
The graph of y=4 is a vertical line.
2) Complete the gaps in the sentences below with the correct word or phrase from the
box:
y-intercept
straight line
rise
fall
horizontal
y
explicit slope
0
y-intercept slope
m
The measure of steepness of a line is called
The letter
…
…
is used to denote slope.
Lines with positive slopes
…
from left to right.
Lines with negative slopes
…
from left to right.
…
All points whose y coordinates are 2 lie on a
If the x coordinate is 0, then the point lies on the
line.
… axis.
In the equation y=mx+q, m represents the
…
of the line.
In the equation y=mx+q, q represents the
…
of the line.
The equation y=mx+q is called the
…
form of a linear equation.
The y-coordinate at which a line crosses the y axis is called the
You can find the y-intercept of a line by replacing x with
The graph of y=mx+q is a
…
…
…
File3
Progetto CLIL - Liceo Scientifico “N. Copernico” – a. s. 2016-2017
prof. Silvia Valente
3) Fill in
In the coordinate plane, the graph of y=mx+q is a
…
If you want to graph a straight line, you need
…
points
The equation of the straight line that passes through the points A(4,-1) and B(8,-1) is …
The slope of y=9x-2 is … and its intercept on the y-axis is …
y=-4 represents a
…
line.
…
The point (3,9) belongs to the straight line y= 5x-6 because its coordinates
The equation of the y-axis is …
The equation of a line parallel to the x-axis is …
The straight lines y=4x-3 and y= 4x are
…
because
…
x=2 is parallel to the … axis.
The straight lines y=x + 3 and y= -6x+3 pass both through …
…
because
Exercises.
4) What is the equation of a line with slope -2 and y-intercept 0? …
5) Find the slope of each line whose equation is given:
2x+y-8=0
3x-4y-1=0
6) Write an equation in standard form of the line that has the given slope and y-intercept:
m=-2, q=5;
m=-4/5, q=-5
7) Change each equation to the slope-intercept (=explicit) form.
Then draw the graph of each on your exercise book:
 x-y-3=0
 x+2y=0
 9x-3y-4=0
3
8) What is the slope of all lines parallel to y   x ? …
4
9) Which point is not on the line 2x+3y=12 ?  (0,4)

(6,0)

(3,2)

(2,3)
10) What is the equation of a line with slope -2 and which passes through the point (3,-1)?
 y=-2x-1
 y=-2x+5
 y=-2x+3
 y=5x-2
11) Which of the following is the equation of a line with -3 as its y intercept and parallel to
2
the line y  x  3 ?
3
2
2
2
3
 y  3x 
 y   x3
 y  x 3
 y  x 3
3
3
3
2
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