Download Math 10C - Olds High School

Name: _______________________________
Class: ______
Math 10C
Linear Relations, Equations and Graphs
Practice Test
FORMULAS:
m=
𝑦2 −𝑦1
Multiple Choice:
1.
3.
𝑦 − 𝑦1 = 𝑚(𝑥 − 𝑥1 )
Ax + By + C = 0
Circle the letter that corresponds with the correct or best answer.
2 marks each - Show your work to get full marks.
2
The point (−4, 0) is on a line which has a slope of − 5. The next point with integer
coordinates on the line to the right of this point is
A.
B.
C.
D.
2.
y = mx + b
𝑥2 −𝑥1
(−9, −2)
(−9, 2)
(1, −2)
(−2, −5)
The slope of the line segment joining A(5, −1) and F(3, 7) is
A.
B.
−3
−4
C.
−
D.
−
1
3
1
4
A line is parallel to the x-axis and passes through the point (−6, 10). The equation of the
line is
A.
B.
C.
D.
x = 10
x = −6
y = 10
y = −6
4.
The slope-point form of the equation of the line passing through the point (−3, 5) with a
slope of
5.
3
2
is
3
A.
y + 5 = 2 (x – 3)
B.
y – 3 = 2 (x + 5)
C.
y – 5 = 2 (x + 3)
D.
y + 3 = 2 (x – 5)
3
3
3
The equations of 4 straight lines are given below:
i) 7x – y = 0
ii) 7x + y – 6 = 0
iii) x – 7y + 4 = 0
iv) x + 7y – 2 = 0
Which pairs of lines are perpendicular?
A.
B.
C.
D.
6.
i and ii
i and iv
both i and iv and ii and iii
both i and ii and iii and iv
Which of the following linear relations is not equivalent to the other three?
A.
B.
C.
D.
1
y – 4 = − 3 (x + 6)
x + 3y + 2 = 0
the line passing through (0, 2) and (6, 0)
1
y = −3 x + 2
Written Response: Show your work for full marks.
1. Identify the slope of each line segment graphed below.
1
2. The slope of a line is 2 . The line passes through the point (4, -1). Name the coordinates of two
other points on the line.
3. a) On the grid given below, graph a line that passes through the point (-2, -1) and is parallel to
y
the y-axis.
b) What is the slope of the line?
x
c) Write the equation of the line.
4. Write the equation of a line in slope y-intercept form if it passes through (0,-1) and is
perpendicular to the line y = 4x – 2.
𝟒
5. a) Given the line with the equation y – 3 = − 𝟕(x + 2), identify:
i) slope
ii) coordinates of a point
b) Graph the line on the grid provided.
c) Write the equation in slope y-intercept form.
d) Write the equation in general form.
y
x
6. Without using technology, graph the line
2x – y + 6 = 0 on the grid provided. Show
your work below.
y
x
7. Write the equation of a line, in general form, if it is perpendicular to the line x + 3y = 0 and it
has the same y-intercept as the line 2x + 3y – 1 = 0.
8. A boat rental company charges their customers a flat fee plus a rate per hour for renting a boat.
If a customer rents a boat for 5 hours, their total cost is $140. If a boat is rented for 8 hours, the
total cost is $200.
a) Identify the coordinates of 2 points which lie on the graph of this linear relationship.
b) Determine an equation, in all 3 forms, to represent the information.
c) Explain what the slope and the y-intercept represent in this situation.
d) How much will it cost to rent a boat for 2 hours?