1. Simplify this expression: 6d + 11 – 3d + 4.
3d
17d + 7d
3d + 15
9d + 15
2. Name the coefficients in this expression: 7a + 3b + 9.
7 and 3
7, 3, and 9
7a and 3b
7a, 3b, and 9
3. Name the like terms in this expression: 4c + 12 + 3c + 2b.
4c, 3c, and 2b
4c and 2b
4c and 3c
There are no like terms.
4. Simplify this expression: 7 + 4p + 3 + 8p + 2p.
10 – 14p
4 + 12p
10 + 14p
4 – 12p
I'll be glad to check your answers.
1. To simplify the expression 6d + 11 – 3d + 4, we can combine like terms by adding or subtracting the coefficients of the same variable.
First, let's combine the term with 'd'. We have 6d - 3d, which simplifies to 3d.
Next, let's combine the constant terms, which are 11 and 4. Adding them together gives us 15.
Therefore, the simplified expression is 3d + 15.
2. In the expression 7a + 3b + 9, the coefficients are the numerical values that are multiplied by the variables.
The coefficients in this expression are 7 and 3. The coefficient for 'a' is 7, and the coefficient for 'b' is 3.
Therefore, the coefficients in the expression are 7a and 3b.
3. In the expression 4c + 12 + 3c + 2b, we have several terms. Like terms are terms that have the same variable(s) with the same exponent(s).
In this case, the like terms are 4c and 3c, as they both have the variable 'c'. The other term, 2b, has a different variable and therefore is not a like term.
So, the like terms in the expression are 4c and 3c.
4. To simplify the expression 7 + 4p + 3 + 8p + 2p, we can combine like terms by adding or subtracting the coefficients of the same variable.
First, let's add the constants, which are 7 and 3. Adding them together gives us 10.
Next, let's combine the terms with 'p'. We have 4p + 8p + 2p. Adding them together gives us 14p.
Therefore, the simplified expression is 10 + 14p, or 10 + 14p.