Easy

Symplifying Algebraic Expressions: Problems with Solutions

Problem 1

Evaluate the expression: 40 − 9x² for x=-3

Solution:
40 − 9x² = 40 − 9(−3)² = 40 − 9(9) = 40 − 81 = −41

Problem 2

Evaluate the expression: x² − 3xm − m + 4, for x = 2 and m = 3

Solution:
x² − 3xm − m + 4 = (2)² − 3(2)(3) − 3 + 4 = 4 − 18 − 3 + 4 = −13

Problem 3

Evaluate the expression: t⁴ − t³ − 4t + 18 = ? for t = 2

Solution:
t⁴ − t³ − 4t + 18 = 2⁴ − 2³ − 4(2) + 18 = 16 − 8 − 8 + 18 = 18

Problem 4

Evaluate: 9(x − 2y) for x=3 and y=-2

Solution:
9(x − 2y) = 9[3 − 2(−2)] = 9(3 + 4) = 9(7) = 63

Problem 5

Simplify: x(x + 5)

x² + 5

2x + 5x

x² + 5x

2x + 5

Solution:
x(x + 5) = x × x + x × 5 = x² + 5x

Problem 6

Simplify the expression: (x - 7)x

Solution:
(x - 7)x = x*x + (-7)*x = x² - 7x

Problem 7

Divide the monomials [tex]\frac{8x^2y}{4xy} = ?[/tex]

Solution:
[tex]\frac{8x^2y}{4xy} = \frac{8}{4}.\frac{x^2}{x} .\frac{y^2}{y} = 2x.1 = 2x [/tex]

Easy

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