PEMDAS, Absolute Value, Exponents and Variables

Variable Equations 1

100

41 - q = 14

Find the value of q

What is 27?

200

3a - 4 = 8

Find the value of a

What is 4?

300

(m➗5) + 9 = 11

Find the value of m

What is 10?

400

4p - 3 = 17

Find the value of p

What is 5?

500

(n - 31) ➗ 4 = 2

Find the value of n

What is 39?

Variable Equations 2

100

9c + 1 = 10 

Find the value of c

What is 1?

200

1 + 2r = 35 

Find the value of r

What is 17?

300

2(x + 3) = 8

Find the value of x

What is 1?

400

9c - 17 = 55

Find the value of c

What is 8?

500

13 + 7x = 27

Find the value of x

What is 2?

Absolute Value

100

- | 7| 

-7

200

| -3 |

3

300

| -8 | - | 2 |

| -8 | - | 2 |

8 - 2 = 6

400

- | 25 | x | 4 |

- | 25 | x | 4 |

-25 x 4

100

500

| 5 | + | -7| + | -2|

| 5 | + | -7| + | -2|

5 + 7 + 2

14

Exponents

100

( -3)³

( -3) ( -3) ( -3)

9 (-3)

-27

200

5⁴

5 X 5 X 5 X 5

25 X 5 X 5 

125 X 5 

625

300

532⁰

All bases with exponent zero equal 1

400

( -2)²

( -2) ( -2)

4

500

9² ➗ 9¹ = _____

9² ➗ 9¹ 

81 ➗ 9 

9

PEMDAS

100

9 divided by 3 + ( 2² )

9 divided by 3 + ( 2² )

9 divided by 3 + ( 4 )

3 + 4

7

200

[ ( 5 - 2) - ( -3) ] + 24 - 2

[ ( 5 - 2) - ( -3) ] + 24 - 2

[ ( 3 ) - ( -3) ] + 24 - 2

[ 3 + 3 ] + 24 - 2

[ 6] + 24 - 2

30 - 2

28

300

Contains 6 steps; Used to determine the order to solve an equation in. Has an acronym 

What is PEMDAS?

Or

What is Order of Operations?

400

[ ( 37 - ( 3 + 4) ] x ( 2 + 10 - 7)

[ ( 37 - ( 3 + 4) ] x ( 2 + 10 - 7)

[ ( 37 - 7) ] x ( 2 + 10 - 7)

[30] x ( 2 + 10 - 7)

30 x ( 12 - 7 )

30 x ( 5 )

150

500

( -3) x 5 + ( 7² - 9)

( -3) x 5 + ( 7² - 9)

( -3) x 5 + (49 - 9)

( -3) x 5 + (40)

-15 + 40

25