When you evaluate an expression, you substitute a number in for a__________. For example, to evaluate the expression 4y+3 for y=6, you would substitute 6 for “y”. You would then solve using the order of operations. So 4(6)+3=____. You can also simplify algebraic expressions without knowing what the variables equal. For example, in this expression (6k+5)+(3k-7). You would add together the coefficients (numbers) in front of “k” and add together the constants or numbers. Adding or subtracting the same variables together is called combining_________. So, you would combine 6k+3k which would equal 9k and you would combine the constants, 5+-7 which would equal_____.
When you evaluate an expression, you substitute a number in for a variable. For example, to evaluate the expression 4y+3 for y=6, you would substitute 6 for “y”. You would then solve using the order of operations. So 4(6)+3= 27.
You can also simplify algebraic expressions without knowing what the variables equal. For example, in this expression (6k+5)+(3k-7), you would add together the coefficients (numbers) in front of “k” and add together the constants or numbers. Adding or subtracting the same variables together is called combining like terms. So, you would combine 6k+3k which would equal 9k and you would combine the constants, 5+-7 which would equal -2.
When you evaluate an expression, you substitute a number in for a variable. For example, to evaluate the expression 4y + 3 for y = 6, you would substitute 6 for "y". You would then solve using the order of operations. So, 4(6) + 3 = 24 + 3 = 27.
You can also simplify algebraic expressions without knowing the actual values of the variables. For example, in the expression (6k + 5) + (3k - 7), you would add together the coefficients (numbers) in front of "k" and add together the constants (numbers). Adding or subtracting the same variables together is called combining like terms. So, you would combine 6k + 3k, which would equal 9k, and you would combine the constants 5 + (-7), which would equal -2.
When you evaluate an expression, you substitute a number in for a variable. In the expression 4y + 3, "y" is the variable. To evaluate this expression for y = 6, you replace y with 6. So you have 4(6) + 3. To solve this expression, you need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
In this case, start by solving the multiplication part: 4 * 6 = 24.
Then, you can add the remaining numbers: 24 + 3 = 27.
Therefore, when evaluating the expression 4y + 3 for y = 6, you get the result 27.
Now, let's move on to simplifying algebraic expressions. In the expression (6k + 5) + (3k - 7), you have two sets of parentheses.
Inside the first set of parentheses, you have 6k + 5. Inside the second set of parentheses, you have 3k - 7.
To simplify this expression, start by adding or subtracting the coefficients (numbers) in front of the variables. In this case, you have 6k and 3k. Adding them together, you get 9k.
Next, you add or subtract the constants or numbers in the parentheses. Here, you have 5 and -7. Adding them together, you get -2.
Therefore, simplifying the expression (6k + 5) + (3k - 7) yields 9k - 2.
To summarize, when evaluating expressions, you substitute a number for the variable and solve using the order of operations. Simplifying algebraic expressions involves combining like terms by adding or subtracting coefficients and constants separately.