Linear Relations Practice Test Year 10

Name: ______________________


Year 10 Advanced Maths - Revision Sheet
Linear Functions Skills Test


Short Answer Section - No calculators or notes permitted. Formula sheet allowed.
Suggested time: 35mins
1. Expand and simplify:
2x(x + 3) – 3(x – 2)


(1 mark)
2. Simplify the following:
5 2
a.
x−6
+ x+3 c.




b. d.




(2+2+2+1=7marks)
3. Solve the following inequations for x.
b. 4x + 9 ≥ 7x – 6
a.




(2+2=4marks)

,4. Calculate the values for x for which and show this set of values on a number-
line provided.




(2 marks)
5. Solve the following equations for x.
a. ax + b2 = cx + d2 b. cx + 4 = –2c




(2 marks)
6. For the points X (-2, 4) and Y(-7, -4).
a. Find the gradient of line XY. c. Find the gradient of the line
perpendicular to XY.




d. Find the midpoint of the line
b. Find the distance XY.
interval XY.

, (2 marks)
(4 marks) 8. Solve the following pair of
7. Solve the following pair of simultaneous equations for x and y:
simultaneous equations: 3x +2y = 19
3x – 2 y = 7 y = 2x - 8
3x – 4 = y.




(2 marks)




9. For the function, 4x + 3y = 12
a. Find the coordinates of x-intercept b. Find the coordinates of y-intercept




c. Sketch the graph on the set of axes below then
d. Shade the region represented by the inequality: 4x + 3y ≥ 12