Linear Relations and Equations : Test A

Essential Standard General Mathematics Teacher CD-ROM

Chapter 2 Linear relations and equations: Practice Test

Student name:

1. Solve the following for x:

a. x + 4 = 9 / b. x – 7 = 22
c. x – 10 = 54 / d. 5y = 35
e. = 6 / f. 2x + 6 = 14
g. / h. 4x2 = 64

(2 marks each)

2. If p = 3, q = –2 and r = 5, find the value of:

a pq + 2r / b p2 – 4qr

(2 marks each)

3. The expression 2x + 4y = 11 can be arranged for y as:

A y = 11 – 2x

B y = 11 + 2x

C y =

D y =

E y = 7 – 2x

4. A linear recursive relationship is given by tn+1 = 4tn + 3. The starting term is t1 = 18. The7thterm is:

A 7

B 75

C 19455

D 77823

E 311295

5. The solution to the simultaneous equations

x + y = 7

and 4x – 3y = 7 is:

A x = 3, y = 4

B x = 3, y = – 4

C x = 4, y = 3

D x = 1, y = 7

E x = 4, y = – 3

6. The point of intersection of the lines shown in the diagram is:

A (1, 2)

B (–2, 1)

C (1, –2)

D (–2.5, –2)

E (–2, 2)

(2 marks each)

7. Mr Jones invests $10 000 in an account paying 6% per annum. Each year the interest is added to the principal in the account. A linear recursion relationship for this is given by tn+1 = 1.06 tn.

Find the value of the investment after:

a 1 year

b 2 years

c 5 years

(3 marks)

8. John owns a Juice and Smoothie business. Last week, John bought 12 kg of bananas and 20 kg of apples for $112. This week John paid $86.50 for 10 kg of bananas and 15 kg of apples.

a Using b for one kg of bananas and a for one kg of apples, write down two linear equations that could be solved simultaneously.

b Find the cost of one kg of bananas.

c Find the cost of one kg of apples.

d Next week John intends to buy 9 kg of bananas and 18 kg of apples. How much will this cost?

(2 + 1 + 1 + 1 = 5 marks)

Total 36 marks

Chapter 2 Test 1 answers

1 a. 5

b. 29

c. 64

d. 7

e. 24

f. 4

g. 7

h. ±4

2 a 4

b 49

3 D

4 D

5 C

6 B

7 a $10 600

b $11 236

c $13 382.26

8 a 12b + 20a = 112 and 10b + 15a = 86.50

b $2.50

c $4.10

d $96.30