Order of Operations Mixed Review

Vocabulary

100

The E in PEMDAS

What is exponents?

200

A way to group a set of numbers

What are parentheses? 

300

Order the following operations:

Multiplication, Parentheses, Subtraction, Exponents

What is Parentheses, Exponents, Multiplication, Subtraction?

400

Does multiplication ALWAYS come before division?

No, they are ordered left to right.

500

Define exponent.

What is a symbol or number placed above and after another symbol or number to denote the power to which the latter is to be raised

Which Comes First?

100

Which operation comes first?

(3+7)-10

Parentheses, (3+7)

200

Which operation comes first?

7x + 4² - 3/5 = 10

Exponent, 4²

300

Which operation comes first?

20- [3+(2-4)/10]

Parentheses, (2-4)

400

Which operation comes first?

1+ 12² + 3/6 -100

Exponent, 12²

500

Which operation comes first?

(2x + 3)(x + 7)

FOIL, (2x) x (x)

Equations

100

Solve for x:

x + 12 = 16

x = 4

200

Solve for x:

20 - 30x/3 =50

x = -3

300

Simplify:

7x + 3 (4x + 1) + 5

19x + 8

400

Simplify:

4 + 2x (1+8) - 5x +3

13x+7

500

Solve for x:

3+ x² = 19

x = 4

Solve It!

100

Solve: (-10)+15 = ?

(-10)+15 = 5

200

Solve:

5x + 10, x=3

25

300

Solve for x:

25x / 4 = 100

x = 16

400

Simplify the variables with exponents:

a x a x a + b x b + c x c x c x c x c

a³+ b²+ c⁵

500

Solve:

[3+2²-(-5+4)] / (6-10)

-2

Rounding Review

100

Round the following number to the nearest whole number:

13.7

14

200

Round the following number to the nearest tenth:

12.341

12.3

300

Round the following number to the nearest tenth:

43.457

43.5

400

Round the following number to the nearest tenth:

193.12

193.1

500

Round the following number to the nearest hundredth:

137.53682

137.54