Order of Operations, Terminology, Expressions, Equations

Order of Operations

100

(10 ÷ 2) × 7 + 5 − 4

(10 ÷ 2) × 7 + 5 − 4 

= 5 × 7 + 5 − 4 

= 35 + 5 − 4 

= 40 − 4 

= 36

200

6 × (8 − 3 + 5) ÷ 10

6 × (8 − 3 + 5) ÷ 10 

= 6 × (5 + 5) ÷ 10 

= 6 × 10 ÷ 10 

= 60 ÷ 10 

= 6

300

10 − 6 × 5 ÷ (2 + 4)

10 − 6 × 5 ÷ (2 + 4) 

= 10 − 6 × 5 ÷ 6 

= 10 − 30 ÷ 6 

= 10 − 5 

= 5

400

8 × (10 − 6) ÷ 2 + 4

8 × (10 − 6) ÷ 2 + 4 

= 8 × 4 ÷ 2 + 4 

= 32 ÷ 2 + 4 

= 16 + 4 

= 20

500

((10 − 6 + 5) ÷ 9) × 2

((10 − 6 + 5) ÷ 9) × 2 

= ((4 + 5) ÷ 9) × 2 

= (9 ÷ 9) × 2 

= 1 × 2 

= 2

Terminology

100

The answer in a division problem

What is a quotient?

200

The number that is being divided in a division problem

What is the dividend?

300

The answer in a multiplication problem

What is the product?

400

The numbers being multiplied in a multiplication problem

What are factors?

500

The numbers being added together in an addition problem

What are addends?

Expressions

100

Twenty two increased by 19

22 + 9

200

The product of two and five decreased by six

(2 x 5) - 6

300

Half the product of three and eight

(3 x 8) ÷ 2

400

half of twenty

20 ÷ 2

500

double to quantity of four fewer than five

(5 - 4) x 2

Equations

100

Solve for x:

x - 12 = 56

x = 68

200

Solve for y:

5y = 75 

y = 15

300

Solve for N:

10 = N + 6

N = 4

400

S ÷ 2 = 12

S = 24

500

3x + 1 = 25

x = 8