Complete this fill-in-the-blank problem. (4 points)
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
.
-11.
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 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.
To complete the fill-in-the-blank problem, follow these steps:
1. For the first blank, you need to substitute a number in for a variable. In the given expression 4y+3 for y=6, you would substitute 6 for "y". So, the first blank is "variable".
2. By substituting 6 for "y" in the expression 4y+3, you would get 4(6)+3.
3. To solve the expression, you need to follow the Order of Operations. This involves solving any operations inside parentheses or brackets first, then performing any multiplication or division from left to right, and finally performing any addition or subtraction from left to right.
4. In this case, there is multiplication to be done first, so you would multiply 4 by 6, which equals 24.
5. Then, add the product of 4 and 6 (which is 24) to 3. This gives you 24+3.
6. Adding 24 and 3 gives you the final result of 27.
So, the first blank is "variable", and the second blank is "27".
Moving on to the next part of the problem:
1. In the expression (6k+5)+(3k-7), you are asked to combine like terms, which means adding or subtracting the same variables together.
2. Terms are parts of an expression separated by addition or subtraction. In this case, the terms are 6k, 5, 3k, and -7.
3. You can combine the like terms by adding together the coefficients (numbers) in front of the "k" and adding together the constants (or constants with no variables).
4. For 6k + 3k, you would add the coefficients in front of the "k" variable, which gives you 9k.
5. For 5 + (-7), you would simply add the constants together, resulting in -2.
Therefore, the first blank is "9k" and the second blank is "-2".