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Linear Equations Test Outline
Chapter 4 and Chapter 5
Slope
Find the slope.
1) Calculate the slope of a line
that passes through the points
(-3, 2) and (-6, 5).
2)
3) Find the value of ‘y’ so the line through (4, y) and (2, 4) has a slope of -1.
X intercept
and
y intercept
Slope
intercept
form
Point Slope
form
Find the x-intercept and y-intercept.
4) 3x – 6y = -18
6) Graph the line y =
3
x–2
2
8) Graph a line that has a slope
of 3 and passes through the
point (-1, -3).
5) 2y = 8x + 8
7) Graph the line x – 2y = -4
9) Write the equation of the line
shown in point slope form.
Translating
linear
equations
10)For a line passing through 11)For a line passing through the
the points (1, 2) and (3, 5)
points (-3, 0) and (4, 7)
a) What is the
slope?
b) Write
equation in
point slope form
c) Write equation
in slope
intercept form
d) What it in
standard form
e) Graph it
Parallel
Lines
Perpendicul
ar lines
12) Which of the given lines are parallel?
A: y = 2x + 5
B: y – 2x = -7
C: 4x + 2y = 0
13) Which of the given lines are perpendicular?
2
x+1
3
3
B: y = x – 6
2
C: 3x + 2y = 10
A: y =
14) Write the equation of a line that passes through the point (2, -4) and is parallel
Writing
to the line y = 7x + 1.
equations of
parallel
and
Perpendicular
Lines
15) Write the equation of a line that passes through the point (0, 2) and is
perpendicular to 2x + 5y = 10.
Graph linear
inequalities
Tell whether the ordered pair is a solution of -3x + 2y > 16.
20) (-2, 8)
21) (-1, -1)
Graph the inequality.
22) y > 2x + 3
23) 3x – 2y < 12
Graph systems
of linear
inequalities
Functions
Graph the system of inequalities.
24) y < 2
x > -6
25) y > -3x + 2
2
y  x 1
3
Sketch a graph to represent the situation. Label each section.
26. The temperature of the water
27. The sales of the company have
decreases over the first few hours in the increased steadily over the years.
refrigerator.
28. If f(x) = –5x + 11 and f(x) = 21, what is the value of x?
29. Find the relationship between the number of shapes and the perimeter of the
figure they form. Represent this relationship using a table, an equation, and a graph.
1 hexagon
2 hexagons
3 hexagons