variable expressions practict
Sure, here are some practice problems for variable expressions:
1) Simplify the expression: 3x + 5y - 2x + 4y
Explanation: The expression combines like terms. Like terms are terms that have the same variable and exponent. In this case, the like terms are 3x and -2x (they both have the variable x) and 5y and 4y (they both have the variable y). Adding the coefficients of like terms, we get: 3x - 2x = x and 5y + 4y = 9y. The simplified expression is x + 9y.
2) Evaluate the expression when x = 2 and y = 3: 4x - 2y + 5
Explanation: The expression involves substituting the given values of x and y into the expression and simplifying. Plugging in x = 2 and y = 3, we get: 4(2) - 2(3) + 5 = 8 - 6 + 5 = 7.
3) Simplify the expression: 2(x - 3) + 4x
Explanation: In this expression, we apply the distributive property to simplify. The distributive property states that when a factor multiplies a sum or difference, we can distribute the factor to each term separately. Applying the distributive property to 2(x - 3) gives us 2x - 6. The simplified expression becomes 2x - 6 + 4x = 6x - 6.
4) Simplify the expression: 3(x + y) - 2(x - y)
Explanation: Once again, we apply the distributive property here. Distributing 3 to (x + y) gives us 3x + 3y. Distributing -2 to (x - y) gives us -2x + 2y. Combining like terms, we get 3x + 3y - 2x + 2y = x + 5y.
I hope these practice problems help you understand and apply variable expressions!