# Mixed-Operator Expressions

A *mixed-operator* expression contains at least one addition or subtraction sign and at least one multiplication or division sign. To evaluate mixed-operator expressions, follow a couple of simple steps:

Evaluate all multiplication and division from left to right.

Begin evaluating a mixed-operator expression by underlining all the multiplication or division in the problem.

Evaluate addition and subtraction from left to right.

## Sample question

What’s –15 x 3 / –5 – (–3) x –4?

**–3.**Start by underlining all the multiplication and division in the problem; then evaluate all multiplication and division from left to right:__–____15____x____3____/____–5__–__(–3)____x____–4__= –45 / –5 – (–3) x –4

= 9 – (–3) x –4

= 9 – 12

Finish up by evaluating the addition and subtraction from left to right:

= –3

## Practice questions

Evaluate 8 – 3 x 4 / 6 + 1.

Find 10 x 5 – (–3) x 8 / –2.

–19 – 7 x 3 + –20 / 4 – 8 = ?

What’s 60 / –10 – (–2) + 11 x 8 / 2?

Following are the answers to the practice questions:

8 – 3 x 4 / 6 / 1 = 7.

Start by underlining and evaluating all multiplication and division from left to right:

8 –

__3____x____4____/____6__/ 1= 8 –

__12____/____6__+ 1= 8 –

__2__+ 1Now evaluate all addition and subtraction from left to right:

= 6 + 1 = 7

10 x 5 – (–3) x 8 / –2 = 38.

Start by underlining and evaluating all multiplication and division from left to right:

__10____x____5__–__(–3)____x____8____/____–2__= 50 –

__(–3)____x____8____/____–2__= 50 –

__(–24)____/____–2__= 50 –12

Now evaluate the subtraction:

= 38

–19 – 7 x 3 + –20 / 4 – 8 =

**–**53.Start by underlining and evaluating all multiplication and division from left to right:

–19 –

__7____x____3__+__–20____/____4__– 8= –19 – 21 +

__–20____/____4__– 8= –19 – 21 + –5 – 8

Then evaluate all addition and subtraction from left to right:

= –40 + –5 – 8 = –45 – 8 = –53

60 / –10 – (–2) + 11 x 8 / 2 = 40.

Start by underlining and evaluating all multiplication and division from left to right:

__60____/____–10__– (–2) +__11____x____8____/____2__= –6 – (–2) +

__11____x____8____/____2__= –6 – (–2) +

__88____/____2__= –6 – (–2) + 44

Now evaluate all addition and subtraction from left to right:

= –4 + 44 = 40