Simplifying Algebraic Expressions

Parts of Algebraic Expressions

100

How many terms are in the following expression: 2x - 3y + 5 - 3x - 8

5 terms

200

What terms is a "like term" along with 6m in the following expression: 0.5p + 6m -5 + 1.5p - 12.5 m + 2

What is -12.5m?

300

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

What is -5?

400

What are the coefficients in the following expression: 7 + 4 p - 5 + p + 2q

4, 1 and 2

500

How many terms are in the expression: 1.4y + 5 - 4.2 - 5y + z - 10

6 terms

Combine Like Terms

100

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

What is 4x-4?

200

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

What is 12x - 7m - 38?

300

Simplify.-12p + 9p² - 1p + 14 - 26 + 2q

9p² - 13p+2q - 12

400

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

What is 5 ?

500

Simplify: 3x – 5y + 8 – 9z + 2y – x – 1

What is -9z - 3y + 2x + 7

Distribute

100

Simplify. 3(q+1)

What is 3q+3?

200

Simplify. -4(q+7)

What is -4q - 28?

300

Simplify. 4(3x+12)

What is 12x+48?

400

Simplify. -3(4x-10)

What is -12x + 30?

500

Distribute:-6(2x+ 4y – 2)

What is -12x -24y + 12

Evaluating Expressions

100

Evaluate. 5ab - 2b + 4 if a = 7, b = - 3

What is -95?

200

Evaluate 2d +  6d² + 3 if d = 9

What is 507?

300

Evaluate y + y³ (z - z) when y = 3, and z = 6  

What is 3?

400

Evaluate (x+19)-(11-x)+10 when x=7

What is 32?

500

Evaluate: 3a² − 4b + 6c, if a = – 2, b = 3 and c = 5

What is 30?

Simplify Algebraic Expressions

100

Simplify. 4(b-6)+19

What is 4b-5?

200

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

What is -12p+21?

300

Simplify. 4x-5(x+6)

What is -x + 6?

400

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

What is 15 + 3n?

500

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

What is x+3?