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10 MEI Chapter 10test

The document contains a series of 23 mathematical questions related to lines, gradients, equations, and factorization. Each question requires the identification of points on lines, completion of equations, and solving for variables. The questions are designed to assess understanding of algebraic concepts and properties of lines in a coordinate system.

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Uncledee Roberts
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0 views6 pages

10 MEI Chapter 10test

The document contains a series of 23 mathematical questions related to lines, gradients, equations, and factorization. Each question requires the identification of points on lines, completion of equations, and solving for variables. The questions are designed to assess understanding of algebraic concepts and properties of lines in a coordinate system.

Uploaded by

Uncledee Roberts
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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10 MEI chapter 10 retest

23 marks from 23 questions


Question 1
Does the point (3, 17) lie on the line y + x = 20?

a. Yes

b. No

Question 2

Which point would lie on the line x – y = 1?

a. A b. B

c. C d. D

Question 3

Which point lies on the line?

a. (1, –1) b. (2, 2)


c. (–2, –2) d. (–3, 1)
Question 4

Choose all the statements that decribe this line correctly.

a) The gradient is 0.

b) Each point on the line has the same x value.

c) Each point on the line has the same y value.

d) The line is parallel to the y-axis.

Question 5
Complete the equation of the line that is parallel to y = 5 x and has a y -intercept of 2.
y= x+

Question 6

Determine the gradient of this line in its simplest form.

Gradient of the line = –


Question 7

What is the y-change of the line shown by this arrow?

a) 2

b) –2

Question 8

What is the equation of the line?


(Answer in the simplest form.)

y= x–1

Question 9
Which of these numbers is an integer?
Select all correct values.

a. −1

b.

c. 0.35

d. 5

Question 10

What is the equation of the line perpendicular to y = that passes through the point (–2, 4)?
y= x–
Question 11
Determine the x -intercept for the line 6 x – 4 y = 15.
Give your answer as a decimal.
x -intercept =

Question 12
Line segment PR has end points (2.5, 1) and (–5, 7).
Complete the substitution to find the y-coordinate of the midpoint.

1+
y-coordinate of the midpoint =
2
=4

Question 13
E = (9, 1) and F = (2, 7)
Which of these is the correct substitution to calculate the length of line segment EF?

a) d=

b) d=

Question 14
Enter the missing number:
2y(y – 4) – 3(y – 4) = 2y2 – y – 3y + 12

Question 15
Enter the missing values in this expansion.
Include the sign in each answer.
(a + 2)(a – 9) = a2 a

Question 16

(3p – 5)(p – 7) = 3p2 – 26p ? 35


What is the missing sign in this expansion?

a) +

b) –
Question 17

The expression y 2 – 25 can be rewritten as y 2 + 0y – 25.


Use this to factorise y 2 – 25.
y 2 – 25 = (y + )(y – )

Question 18
The factors of 36 are: {1, 36} {2, 18} {3, 12} {4, 9} {6}
Use the factors to decide whether y 2 + 17y + 36 can be factorised.

a. Yes it can.
b. No it can’t.

Question 19
mn = 24
m + n = 11
If m > n then:
m=
n=

Question 20
Complete the factorisation:
y 2 – 8y + 16 = (y – )2

Question 21
A monic quadratic trinomial is a perfect square. Its constant term is 100. The coefficient of its linear
term is positive.
The coefficient of the linear term is

Question 22

Factorise y 2 – 2y – 24 = 0

a. (y – 8)(y + 3) = 0
b. (y – 6)(y + 4) = 0
c. (y – 12)(y + 2) = 0
Question 23

Solve .
(Enter the smaller number first.)
x= or

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