Algebra Basics, Expressions, and Polynomials Review

Parts of Algebraic Expressions

100

How many terms are in the following expression:

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

5 terms

200

What are "like terms" in the following expression? Give one example

7a + 2y - 4a -5a² + 3y

7a and -4a  or  2y and 3y

300

What is the constant in the following expression: 2y - 5 + 7x

-5

400

What are the coefficients in the following expression: 

7 + 4p - 5 + p + 2q

4, 1 and 2

500

How many terms are in the following expression and what are the variables: 

17y + 5 - (4/5) - 5y + z - 10

6 terms  and  the variables are 'y' and 'z'

Combine Like Terms

100

Simplify the expression. 11x + (9 - 7)

11x + 2

300

Simplify the expression. 8s-11s+6

-3s+6

400

Simplify the expression. 8+4a+6.2-9a

14.2-5a

500

Simplify the expression. 2/5y-4+7-9/10y

3-1/2y

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. -6(-3x+6)

18x-36

Combine Like Terms (Advanced)

100

Simplify. -3x+12-16+7x

4x-4

200

Simplify. -15m-26+12x-12+8m

12x-7m-38

300

Simplify. 12p+9p-6p+14-26+2p

17p-12

400

Simplify. -8g+12-15g-2g-17

-25g-5

500

Simplify. -8x+12-8x+15+15x-22-x

-2x - 5

Simplify Algebraic Expressions

100

Simplify. 4(b-6)+19

4b-5

200

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

-12p+21

300

Simplify. 4x-5(x+6)

-x+6

400

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

15+3n

500

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

x+27