Algebra

Question 1

Multiplication of binomials, EWE (each with each)

Answer 1

Question 2

Square of sum

Answer 2

(a + b)² = a² + 2ab + b²

Question 3

Square of difference

Answer 3

(a – b)² = a² – 2ab + b²

Question 4

Cube of sum

Answer 4

(a + b)³ = a³ + 3a²b + 3ab² + b³

Question 5

Cube of difference

Answer 5

(a – b)³ = a³ – 3a²b + 3ab² – b³

Question 6

Difference of squares

Answer 6

a² – b² = (a + b) (a – b)

Question 7

Absolute value of |-a|

Answer 7

|a|

Question 8

Absolute value of |ab|

Answer 8

|a| |b|

Question 9

Absolute value of |a/b|

Answer 9

|a| / |b|

b ≠ 0

Question 10

Answer 10

Question 11

Distance between points a and b on a number line

Answer 11

|b – a| = |a – b|

Question 12

a^m/n

Answer 12

ⁿ√a^m

Question 13

Answer 13

Question 14

Answer 14

(b ≠ 0)

Question 15

Answer 15

Question 16

Answer 16

Multiplication of binomials, EWE (each with each)

Question 17

(a + b)² = a² + 2ab + b²

Answer 17

Square of sum

Question 18

(a – b)² = a² – 2ab + b²

Answer 18

Square of difference

Question 19

(a + b)³ = a³ + 3a²b + 3ab² + b³

Answer 19

Cube of sum

Question 20

(a – b)³ = a³ – 3a²b + 3ab² – b³

Answer 20

Cube of difference

Question 21

a² – b² = (a + b) (a – b)

Answer 21

Difference of squares

Question 22

|a|

Answer 22

Absolute value of |-a|

Question 23

|a| |b|

Answer 23

Absolute value of |ab|

Question 24

|a| / |b|

b ≠ 0

Answer 24

Absolute value of |a/b|

Question 25

Answer 25

Question 26

|b – a| = |a – b|

Answer 26

Distance between points a and b on a number line

Question 27

ⁿ√a^m

Answer 27

a^m/n

Question 28

Answer 28

Question 29

(b ≠ 0)

Answer 29

Question 30

Answer 30

Question 31

Quadratic equation

Answer 31