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Practice
Symplifying Algebraic Expressions
Easy
Normal
Difficult
Symplifying Algebraic Expressions: Problems with Solutions
Problem 1
Evaluate the expression: 40 − 9x
2
for x=-3
Solution:
40 − 9x
2
= 40 − 9(−3)
2
= 40 − 9(9) = 40 − 81 = −41
Problem 2
Evaluate the expression: x
2
− 3xm − m + 4, for x = 2 and m = 3
Solution:
x
2
− 3xm − m + 4 = (2)
2
− 3(2)(3) − 3 + 4 = 4 − 18 − 3 + 4 = −13
Problem 3
Evaluate the expression: t
4
− t
3
− 4t + 18 = ? for t = 2
Solution:
t
4
− t
3
− 4t + 18 = 2
4
− 2
3
− 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)
x
2
+ 5
2x + 5x
x
2
+ 5x
2x + 5
Solution:
x(x + 5) = x × x + x × 5 = x
2
+ 5x
Problem 6
Simplify the expression: (x - 7)x
Solution:
(x - 7)x = x*x + (-7)*x = x
2
- 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]
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