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Australia
Year 9

1.01 Mixed operations with integers

Worksheet
Mixed operations with integers
1

Evaluate:

a

-7 + 8 - 2

b

-10 - 4 + 6

c

15 - \left( - 11 \right) - 5

d

-9 - \left( - 12 \right) - \left( - 3 \right)

e

1 - \left(11 + \left( - 14 \right)\right)

f

-16 - \left(2 - \left( - 7 \right)\right)

g

\left( -24 + 18 \right) - 13

h

\left(34 - \left( -52 \right)\right) - 27

2

Evaluate:

a

-10 + 8 \times \left( - 3 \right)

b

21 - 6 \times \left( -7 \right)

c

\left(-9 - 12\right) \times \left( - 2 \right)

d

- 11 \times \left( - 3\right) + 20

e

18 \times \left( 13 + \left( - 15 \right)\right)

f

-30 \times \left( - 1 - 3\right)

g

\left( -4 \times 14 \right) - 4 \times 3 - 17

h

-25 \times \left( -3 \right) + 2 \times \left( -17 + 23 \right)

3

Evaluate:

a
- 18 + 21 \div 7
b
72 \div 6 \div 2
c
6 - 25 \div 5 + 4
d
54 \div 3 \div \left( - 2 \right)
e
\left( 120 \div 5\right) \times 3
f
\left( - 36 \right) \div \left( - 4 \right) - 14
g
\left( - 390 \right) \div \left( - 19 + 6\right)
h
\left( - 100 \right) \div \left( - 4 \right) \div \left( - 5 \right)
4

Evaluate:

a
- 7 + 8 \times 6 \div 2
b
\left( - 14 \right) \div 2 - 10 \div \left( - 2 \right)
c
2 \times \left( - 25 - 20\right) \div \left( - 7 + 2\right)
d
20 + \left( - 14 \right) - \left( - 2 \right) - 18
e
\left(28 \times 5 \right) \div \left( 14 - 24 \right) + 5
f
9 \times \left( - 6 \right) + 28 \div \left( - 7 \right)
g
[7\times (6 - 3)]\times [(8 +2)\div 5]
h
[1+(6 \times 3 - 9) ]\div[20 - (100 \div 10)]
5

Kaylah and Orion are evaluating the expression 10 \div 2 \times 5. Here is their work:

Kaylah:\begin{aligned} 10 \div 2 \times 5 & = 10 \div 10 \\ & = 1 \end{aligned}
Orion:\begin{aligned} 10 \div 2 \times 5 & = 5 \times 5 \\ & = 25 \end{aligned}

Who has the correct solution? Explain your answer.

Applications
6

Tara is waiting for the next flight to Los Angeles, which was scheduled to be in 36 minutes, but there is a 48-minute delay. She takes a nap, and wakes up 24 minutes later.

Calculate how much longer Tara has to wait before the plane departs.

7

A bus departs the depot with 8 passengers on board. At the first stop, 4 people got off and 6 people got on. At the second stop, a further 3 people got off, and 7 more got on.

Calculate the number of people are on the bus when it leaves the second stop.

8

Luigi enters an elevator at the 7th floor (the ground floor being floor 0). The elevator goes down 3 floors, then up 9 floors and finally it goes down 2 floors, where Luigi gets out.

a

State which floor Luigi ends up.

b

When Luigi gets off the elevator, how many floors from his starting point is he?

9

At the start of the week, Giovanni had \$250 in his bank account. On Monday, he withdrew \$39. On Wednesday, he deposited \$15, and on Thursday, he deposited a further \$45. Finally, he withdrew \$115 on Friday.

Find Giovanni's final bank balance at the end of the week.

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Outcomes

AC9M9N01

recognise that the real number system includes the rational numbers and the irrational numbers, and solve problems involving real numbers using digital tools

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