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Equations and inequalities (Advanced) sample test

practice test

Subject

math advanced

513 Documents

Students shared 513 documents in this course

Degree • Grade

HSC

• 11

School

Blacktown Boys High School - Blacktown

Academic year: 2024/2025

Listed booksC++Fundamentals of Actuarial Mathematics Plancyclus in het Sociaal-Agogisch Werk What is Cinema?Anne Peters

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Name: __________________________________

TOPIC TEST

Equations and inequalities (Advanced)

Time allowed: 45 minutes
Part A: 10 multiple-choice questions (10 marks)
Part B: 10 free-response questions (40 marks)
Total: 50 marks

Part A

10 multiple-choice questions

1 mark each: 10 marks

Circle the correct answer.

1 Solve x – 11 = 2(5 – 3x).

A x= 3

B −

21 =

5 C −

1 =

5 D −

1 =

7

2 Solve 3n + 5 ≤ n + 1.

A n ≤ –

B n ≤ –

C n ≥ –

D n ≥ 4

3 Evaluate 4 – |–3|

A 13

B 10

C –

D –

4 Solve |2y –3| = 9.

A y = –

B y = 6

C y = –3, y = 6

D y = –6, y = 3

5 Solve 2a

3+ 11 = –5.

A a = –

B a = –

C a = 2

D a = 8

6 Solve m

2 - 2m = 15.

A m = –3 or –

B m = –3 or 5

C m = 3 or –

D m = 3 or 5

7 Solve 2k

2 - 5k – 1 = 0.

A

5 ± 33

=

4 B

−5 ± 33

=

4 C

5 ± 17

=

4 D

−5 ± 17

=

4

8 The formula to calculate the volume of a cone is

1 =.

3

V r h

Find the value of h when V = 95 and r = 2.

A 49.

B 37.

C 15.

D 1.

9 Solve simultaneously 2x – y = 2 and x + 4y = 1.

A x = 1, y = 1

B x = –1, y = 0

C x = 1, y = 0

D x = 0, y = 1

10 Solve −

2 4

=

2 x 1 x

.

A

2

x= 3

B

3

x= 2

C −

3 =

2 D −

2 =

3

14 Show that |a + b| ≤ |a| + |b| when a = 2 and b = –5.

_________________________________________________________________________________________

[3 marks]

15 Solve

1 1

3.

9

x − =

_________________________________________________________________________________________

[3 marks]

16 Solve (2x + 5) (x + 1) (x – 4) = 0.

_________________________________________________________________________________________

[3 marks]

17 Solve each equation.

a (y + 5) 2 = 4

______________________________________________________________________________________

b 3 n 2 + 2n = 1

______________________________________________________________________________________

[6 marks]

18 Given s = ut +

1

2

at 2, find the value of a if s = 30, u = 5, t = 3.

_________________________________________________________________________________________

[3 marks]

19 Solve simultaneously y = x – 5 and y = x 2 + 6x – 1.

_________________________________________________________________________________________

[4 marks]

20 Solve these simultaneous equations.

A + B = 2

A + B + 2C = 1

2 A – B + 4C = 8

_________________________________________________________________________________________

[4 marks]

This is the end of the test.

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Equations and inequalities (Advanced) sample test

Subject: math advanced

513 Documents

Students shared 513 documents in this course

Degree • Grade:

HSC

• 11

Was this document helpful?

1 of 6

Name:

__________________________________

TOPIC TEST

Equations and inequalities (Advanced)

• Time allowed: 45 minutes

• Part A: 10 multiple-choice questions (10 marks)

• Part B: 10 free-response questions (40 marks)

• Total: 50 marks

Part A

10 multiple-choice questions

1 mark each: 10 marks

Circle the correct answer.

1 Solve x – 11 = 2(5 – 3x).

= 3 x

−21

−1

2 Solve 3n + 5 ≤ n + 1.

A n ≤ –4

B n ≤ –2

C n ≥ –2

D n ≥ 4

3 Evaluate 4 – |–3|2.

A 13

B 10

C –2

D –5

4 Solve |2y –3| = 9.

A y = –3

B y = 6

C y = –3, y = 6

D y = –6, y = 3

5 Solve 2a3+ 11 = –5.

A a = –8

B a = –2

C a = 2

D a = 8

Equations and inequalities (Advanced) sample test

math advanced

HSC

Blacktown Boys High School - Blacktown

Recommended for you

Comments

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Preview text

Name: __________________________________

TOPIC TEST

Equations and inequalities (Advanced)

Part A

B −

21

=

5

C −

1

=

5

D −

1

=

7

A 13

B 10

C –

D –

A

5 ± 33

=

4

B

−5 ± 33

=

4

C

5 ± 17

=

4

D

−5 ± 17

=

4

1

=.

3

A 49.

B 37.

C 15.

D 1.

2 4

=

.

A

2

B

3

C −

3

=

2

D −

2

=

3

_________________________________________________________________________________________

_________________________________________________________________________________________

_________________________________________________________________________________________

_________________________________________________________________________________________

1 1

3.

9

_________________________________________________________________________________________

_________________________________________________________________________________________

_________________________________________________________________________________________

_________________________________________________________________________________________

_________________________________________________________________________________________

_________________________________________________________________________________________