# MATH-KAL

## MATH-TEACHER Algebraic Expressions —

Unlimited number of problems with complete step by step solutions more...

Student and Classroom Management

# Algebraic Expressions 2

Special products (A + B)2, (A + B)(A - B), (A + B)3

• Level 1 : Expand (-3x + 1)2
• Level 2 : Expand (5a + 1)(5a - 1)
• Level 3 : Expand (3 - x)2 - 2(1 - 3x)(1 + 3x)
• Level 4 : Express x2 - 6x as a difference of two squares
• Level 5 : Expand (a - 2)3

Factoring A2 - B2, A2 + 2AB + B2, the trinomial ax2 + bx + c, difference of cubes. Factor the expression:

• Level 1 : 9a2 - b2
• Level 2 : xa2 - 16xy2
• Level 3 : 16x4 - y4
• Level 4 : x2 + 10x + 25
• Level 5 : 2y2 - y - 3
• Level 6 : a3 - 27

Translating verbal sentences into equations.

• Level 1 : The number x is greater than m by 6
• Level 2 : The number x is greater than y by 20%
• Level 3 : A two-digit number with x units and y tens is 78
• Level 4 : The distance covered by a car traveling at y mph during c hours is k
• Level 5 : A car covers a + 8 miles at a speed of 2x - 3 mph during 3.5 hours

Rules of integer exponents (positive, negative or zero).

• Simplify expressions such as...
• Level 1 : a2 · a5
• Level 2 : a12 / a4
• Level 3 : (a3)5
• Level 4 : (a · b)3
• Level 5 : (a / b)4