Symplifying Algebraic Expressions: Difficult Problems with Solutions

Problem 1
If a = -2 and b = 3, determine the value of
|a| - (-b) =
Problem 2
If x=-5, determine the value of [tex]5x^2+16x+1-3x^2-8x+7[/tex].
Problem 3
Find the value of the expression
[tex]x^2+5x+8+3x^2+10x+1[/tex] for x=-4.
Problem 4
If y=3, determine the value of [tex]5y^2-8y+2-3y^2+3y+1[/tex].
Problem 5
If ab=10 and 3a-7b=2, determine the value of [tex]-5a^2b+8ab^2+2+8a^2b-15ab^2-1[/tex]
Problem 6
If x=5, determine the value of the polynomial [tex]3x^2-5x+2-(x^2-4x+1)[/tex].
Problem 7
If x=3, determine the value of [tex]x^3-5x^2+8xz+2+z^2-x^3+4x^2-8xz-z^2[/tex]
Problem 8
If z=10, determine the value of (z-2)(z+2) + (3z-5)(2z+1) - z2+5z+1
Problem 9
If x=2 and y=3, determine the value of the polynomial (3x+y)(2x+1)-(3y+x)(6x+y).
Problem 10
Find the product of the algebraic expression: $(3m − 2)(2m + 5)$

Problem 11
Simplify the expression: $(3x − 5)(2x^2 + 7x − 5)$
Problem 12
Multiply the binomials: (3p − 2y)(2p + 3y)
Problem 13
Multiply the binomials: (9p − 7q)(5p − 4q)
Problem 14
(2m − 3n)2 = ?
Problem 15
Divide the monomials: [tex]\frac{10x^4mn^2}{5x^3mn}[/tex]
Problem 16
Divide the polynomial by the monomial: [tex]\frac{9xy - 6x^2}{3x}[/tex]
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