Simplifying Algebraic Expressions

Parts of Algebraic Expressions

100

What are the variables in the following expression:

4x + 3y - 2

x and y

200

How many terms are in the following expression: 

2x - 3y + 5 - 3x - 8

5 terms

300

What are the coefficients in the following expression:

 7+ 4p - 5 + p + 2q

4, 1 and 2

400

What is the constant in the following expression: 

2y-5+7x

-5

500

How many terms are in the expression:

 1.4y + 5 - 4.2 - 5y + z - 10

6 terms

Combine Like Terms (Basic)

100

Simplify the expression. 11x+9-7

11x+2

200

Simplify the expression.

4x + 3x -2x

5x

300

Simplify the expression. 8s-11s+6

-3s+6

400

Simplify the expression. 

8+ 4a + 6 -9a

14 - 5a

500

Simplify the expression.

3y² - 4 + 7 -4y - 8y² 

-5y² + 3 - 4y

Distribute (Basic)

100

Simplify. 

3(q+1)

3q+3

200

Simplify. 

-4(q+7)

-4q-28

300

Simplify. 

4(3x+12)

12x+48

400

Simplify. -3(4x-10)

-12x+30

500

Simplify. - (-3x+6)

18x-36

Simplify Expressions

100

Simplify. 4(b-6)+19

4b-5

200

Simplify. 4(-3p+6)-3

-12p+21

300

Simplify. 3(5-2n)+9n

15+3n

400

Simplify. -5(x+6) - 2x

-7x- 30

500

Simplify. -2(x-6) + 3(x+5)

x+27

Translate the Expression

100

Write the numerical expression:

The difference of 4 and 3 times 12

12 (4 -3) 

200

Write a written expression: 

6+5 -3 

The sum of six and five minus three

300

Write the written expression:

5/y 

The quotient of five and y

400

Write a numerical expression for the following:

half of the sum of a number and six.

x + 6/ 2

500

Write a written expression for the following:

4 ( 7- 2) + 5

four times the difference of 7 and 2 plus 5