REPLACING VARIABLES

To find the value of an expression, substitute the given value(s) of the variable(s) into the expression and then simplify the expression using the order of operations.

Examples:

1. Simple Expression:

· Expression: x + 5

· Given value: x = 3

· Solution: Substitute x = 3 into the expression: 3 + 5 = 8

· Answer: The value of the expression is 8.

2. Expression with Multiplication:

· Expression: 2y - 7

· Given value: y = 4

· Solution: Substitute y = 4 into the expression: (2 * 4) - 7 = 8 - 7 = 1

· Answer: The value of the expression is 1.

3. Expression with Exponents:

· Expression: z² - 3z + 2

· Given value: z = 2

· Solution: Substitute z = 2 into the expression: 2² - (3 * 2) + 2 = 4 - 6 + 2 = 0

· Answer: The value of the expression is 0.

4. Expression with Fractions:

· Expression: (a / 3) + b

· Given values: a = 6, b = 2

· Solution: Substitute a = 6 and b = 2 into the expression: (6 / 3) + 2 = 2 + 2 = 4

· Answer: The value of the expression is 4.

5. Expression with Parentheses:

· Expression: 2(x + 3)

· Given value: x = 4

· Solution: Substitute x = 4 into the expression: 2(4 + 3) = 2(7) = 14

· Answer: The value of the expression is 14.

6. Expression with Multiple Variables:

· Expression: 5p - 2q

· Given values: p = 2, q = 3

· Solution: Substitute p = 2 and q = 3 into the expression: (5 * 2) - (2 * 3) = 10 - 6 = 4

· Answer: The value of the expression is 4.

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REPLACING VARIABLES