Algebraic Techniques

Expressions

100

How many terms are there?

4xy + 7x - 4 

3

200

Coefficient of xy?

4x + 3y - 5xy + 7

-5

300

What are the like terms?

7x²y + 4y² - 3yx²

7x²y and -3yx²

400

Simplify:

6m - 4n + 3m - 2n

9m - 6n

500

Evaluate if x = 2 and y = -1

5xy + 7x - 2y

6

Binomial Expansion

100

(x+3)(x+4)

x² + 7x + 12

200

(x-5)(x+2)

x² - 3x -10

300

(3x+6)(x-4)

3x² - 6x - 24

400

(2x+5y)(2x-5y)

4x² - 25y²

500

(5x-2)(3x+7)

15x² + 29x - 14

Order of Operations

100

Simplify the following expression:

62

https://www.khanacademy.org/math/pre-algebra/pre-algebra-arith-prop/pre-algebra-order-of-operations/v/introduction-to-order-of-operations

200

Simplify the following expression:

5

https://www.khanacademy.org/math/pre-algebra/pre-algebra-arith-prop/pre-algebra-order-of-operations/v/introduction-to-order-of-operations

300

3 + 4² * (3 + 2)

83

400

45

500

12

Adding Integers

100

-4 + -5

 -9

https://www.khanacademy.org/math/arithmetic/arith-review-negative-numbers/arith-review-add-negatives-intro/v/adding-negative-numbers

200

14 + -12

2

https://www.khanacademy.org/math/arithmetic/arith-review-negative-numbers/arith-review-add-negatives-intro/v/adding-negative-numbers

300

-10 + 15

5

https://www.khanacademy.org/math/arithmetic/arith-review-negative-numbers/arith-review-add-negatives-intro/v/adding-negative-numbers

400

-2 + -3 + 5

0

https://www.khanacademy.org/math/arithmetic/arith-review-negative-numbers/arith-review-add-negatives-intro/v/adding-negative-numbers

500

6 + (-2 + -5)

-1

Distributive Property

100

8(4+2) = ?

48

200

5(x - 3)

5x - 15

300

7 + 9(2x - 3)

18x - 20

400

-3(-x - 10)

3x + 30

500

x + 10 - 6(x - 3x) + 4

13x + 14

Adding Like Terms

100

Simplify: 

2x + 8x=

10x

200

Simplify: 

4x + 2x -8x

-2x

300

Simplify: 

-3x + 2x +5 -2

-x + 3

400

Simplify: 

3(x+7) + 4x

12x + 21

500

Simplify: 

-2(3x + 4) + 2(x - 6)

-4x - 20