IB-MYP Mathematics
Year 9
Name: . . . . . . . . . . . . . . . . . . . . .
Grade:
Unit Test: Linear equations and
Criteria A: . . . . . . . .
their graphs
Criteria C: . . . . . . . .
Time: 50 minutes
Criteria A: 1 – 2
1
State whether the following linear graphs are positive or negative
2
Create a linear equation that has the point (3, - 4) on it
3
Find the rule for the following sets of points.
a.
X –2 –1 0
1
Y –9 –3 3
9
b.
X
Y
1
2
3
–2
6
–8
9
– 14
Math Year 9 ZIS 2011-12 UNIT TEST – Linear Equations and Graphs
1+1
+1
+1
3
2+2
4
Make x the subject of these equations:
a. 3x – 2 = 5
5
On which of the following lines does the point (4, 8) lie? (Justify your answer/s)
6
ay=x+1
b x + 2y = 20
c y = 3x – 4
d 4x – 3y = - 10
ex−y=-2
fy=x−1
For the equation y = 3x – 4, what are the :
2
2
a. gradient?
b. y – intercept?
7
Complete the following tables of values, sketch the points on a Cartesian plane, and join them to
make a linear graph. Label the graphs with the rules.
Rule y = – 2x + 2
Math Year 9 ZIS 2011-12 UNIT TEST – Linear Equations and Graphs
4
Criteria A: 3 – 4
7
Here are some diagrams that are made up of cubes.
2+1
+1
+2
=6
a). Find the formula that links the shaded cubes (S)
and the white cubes (W) in each diagram.
b). Using the formula, find the number of white
cubes when the number of shaded cubes 16
c). Using the formula, find the number of shaded
cubes when the number of white cubes 44
d). Find also a formula that links the number of shaded
cubes (S) with the total number of cubes used (T).
8
Find the gradient of the line AB
Math Year 9 ZIS 2011-12 UNIT TEST – Linear Equations and Graphs
4
9
Use the points C and D to find the slope of the line:
a.
b.
4
10
Sketch the graph of y = x
2
11
By finding the gradient and y-intercept from these graphs, state their equations:
a.
b.
c.
6
Math Year 9 ZIS 2011-12 UNIT TEST – Linear Equations and Graphs
12
A line has a gradient of – 2. It has the following points on it: (3, 7), (2, y). Find y.
1
Criteria 5 – 6
13
Make x the subject of this equation
2
4𝑥 − 6
+𝑦 =3
5
2+2
14
Rewrite in the form of y = mx + c, and state the gradient and y-intercept
a. 2x – y = 5
b. 3x – 4y – 7 = 0
15
Find the slope of the line that passes through (1, - 5) and (- 4, 5)
3
16
A line has a gradient of 3, and the point (– 3, – 1) lies on it. What is its equation?
3
Math Year 9 ZIS 2011-12 UNIT TEST – Linear Equations and Graphs
17
Sketch the graph of y = 2x – 3. Show x and y intercepts.
6
18
Sketch the graph of 𝑦 = −
3𝑥
6
2
− 1 Show x and y intercepts.
Math Year 9 ZIS 2011-12 UNIT TEST – Linear Equations and Graphs
Math Year 9 ZIS 2011-12 UNIT TEST – Linear Equations and Graphs
16
2
Which of the following are parallel to y = 3x + 2?
y = 2x +3
3x − y + 6 = 0
3y = x + 2
y = 3x − 2
Criteria A: 7 – 8
19 Without using a graph, find out where these 2 lines meet:
3
y=x+3
x + 4y = 22
17
If the following two linear equations intersect at (2, -3), what must be the value for k?
y=x–5
y = – 2x + 1
Criteria A: 7 – 8
Math Year 9 ZIS 2011-12 UNIT TEST – Linear Equations and Graphs
4
1
The graph shows the journey of a man who drives to a friend’s place and then rides a
bike back home. The graph shows his distance from home between the times of 8:00
am and 2:00 pm.
Stat the equation, domain and range for each part of 3 parts of his journey.
Math Year 9 ZIS 2011-12 UNIT TEST – Linear Equations and Graphs
3+3
+3
=9
2
The word ‘perpendicular’ means ‘at right angles’, or ‘at 90 degrees’.
Find the equation of the line that is perpendicular to y = x + 2, at the point (1, 3)
Math Year 9 ZIS 2011-12 UNIT TEST – Linear Equations and Graphs
3