Evaluate the following algebraic expressions:__ 1. 3x when x = -5_ 2. 6x2 when x=-2_ 3. 3a -2b when a=2, b=-3_ 4. 2xy when x=4, y=-5__ 5. X2 -3x+8 when x=2
Question
Evaluate the following algebraic expressions:__ 1. 3x when x = -5_ 2. 6x2 when x=-2_ 3. 3a -2b when a=2, b=-3_ 4. 2xy when x=4, y=-5__ 5. X2 -3x+8 when x=2
Solution
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To evaluate the expression 3x when x = -5, you simply substitute -5 in place of x. So, 3x becomes 3*(-5) which equals -15.
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To evaluate the expression 6x^2 when x = -2, you substitute -2 in place of x. So, 6x^2 becomes 6*(-2)^2. Since (-2)^2 equals 4, the expression becomes 6*4 which equals 24.
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To evaluate the expression 3a - 2b when a = 2 and b = -3, you substitute 2 in place of a and -3 in place of b. So, 3a - 2b becomes 32 - 2(-3) which equals 6 + 6 = 12.
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To evaluate the expression 2xy when x = 4 and y = -5, you substitute 4 in place of x and -5 in place of y. So, 2xy becomes 24(-5) which equals -40.
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To evaluate the expression x^2 - 3x + 8 when x = 2, you substitute 2 in place of x. So, x^2 - 3x + 8 becomes 2^2 - 3*2 + 8 which equals 4 - 6 + 8 = 6.
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