This question tests your understanding of the parts of algebraic expressions—specifically, how to identify the constant term. The constant term is the part of the expression that doesn't have any variables—it's just a number by itself, like the +2 at the end of 3x² - 5x + 2. The constant term is the number that stands alone without any variables attached. In -7x + 2, looking through each part, the constant term is +2 (or just 2). This is different from the coefficients, which are the numbers multiplied by variables. Choice D is correct because it properly identifies the constant term as 2, following the definition that it's the standalone number without variables. You've got it! Choice A is close, but it forgets that the constant term is the number without any variables. In this expression, it's +2, not -7 (which is the coefficient of x). Here's an easy way to identify terms: look for the + and - signs that aren't inside parentheses—those are your term separators! Everything between those signs (including the sign right before it) is one term. So in -7x + 2, circle each + and -, and you can see the two terms clearly! A quick check: count your terms by counting how many parts would be separated if you put the expression in a calculator with clear + and - between them. For -7x + 2, you'd enter it as two separate chunks connected by operations—those are your two terms!

This question tests your understanding of the parts of algebraic expressions—specifically, how to identify terms. Terms are the parts of an expression that are added or subtracted from each other: think of them as the separate 'chunks' connected by + or - signs. For example, in 3x² - 5x + 2, there are three terms: 3x², -5x, and 2 (notice that the -5x includes the minus sign). Let's look at the expression 5x² - 3x + 8 and find the terms. Terms are separated by + or - signs (at the main level, not inside parentheses): starting from the left, we have 5x², then -3x (remember to include the sign!), and finally +8. That gives us three terms total. Choice A is correct because it properly identifies the terms as 5x², -3x, 8, following the definition that terms include their signs and are separated by addition or subtraction. You've got it! Choice B is close, but it forgets to include the sign: the term is -3x, not 3x. The minus sign is part of the term! This is a super common mistake, so watch out for it. Here's an easy way to identify terms: look for the + and - signs that aren't inside parentheses—those are your term separators! Everything between those signs (including the sign right before it) is one term. So in 5x² - 3x + 8, circle each + and -, and you can see the three terms clearly! Don't forget: signs matter! The term in x² - 4x isn't 4x, it's -4x. Always include the sign that comes right before the term—that sign is part of it. This is one of the most common mistakes in algebra, so being careful here will save you lots of points!

This question tests your understanding of the parts of algebraic expressions—specifically, how to identify coefficients. A coefficient is the numerical part of a term that's multiplied by the variable(s): in the term 3x², the coefficient is 3 because it's the number being multiplied by x². Remember that coefficients include their sign, so in -5x, the coefficient is -5, not 5. To find the coefficient of x in 7x² - 4x + 1, we look for the term that contains x. That term is -4x. The coefficient is the number part that's multiplied by the variable, which is -4. If you don't see a number written, like in just 'x', the coefficient is 1! Choice A is correct because it properly identifies the coefficient as -4, following the definition that coefficients include their sign. You've got it! Choice B is close, but it forgets to include the sign: the term is -4x, not 4x. The minus sign is part of the coefficient! This is a super common mistake, so watch out for it. To find a coefficient, first locate the term with the variable you're looking for, then identify just the number part (including the sign). If you don't see a number, the coefficient is 1 (for terms like x) or -1 (for terms like -x). Write out that 'invisible 1' when learning, and it'll help!

This question tests your understanding of the parts of algebraic expressions—specifically, how to identify terms. Terms are the parts of an expression that are added or subtracted from each other: think of them as the separate 'chunks' connected by + or - signs. For example, in 3x² - 5x + 2, there are three terms: 3x², -5x, and 2 (notice that the -5x includes the minus sign). Let's look at the expression 10 - 2r² + r and find the terms. Terms are separated by + or - signs (at the main level, not inside parentheses): starting from the left, we have 10, then -2r² (remember to include the sign!), and finally +r. That gives us three terms total. Choice A is correct because it properly identifies the terms as 10, -2r², r, following the definition that terms include their signs. You've got it! Choice B is close, but it forgets to include the sign: the second term is -2r², not 2r². The minus sign is part of the term! This is a super common mistake, so watch out for it. Don't forget: signs matter! The term in 10 - 2r² + r isn't 2r², it's -2r². Always include the sign that comes right before the term—that sign is part of it. This is one of the most common mistakes in algebra, so being careful here will save you lots of points!

This question tests your understanding of the parts of algebraic expressions—specifically, how to identify the constant term. The constant term is the part of the expression that doesn't have any variables—it's just a number by itself, like the +2 at the end of 3x² - 5x + 2. The constant term is the number that stands alone without any variables attached. In 3k³ - 2k² + k, looking through each part, there is no constant term, so it's 0. This is different from the coefficients, which are the numbers multiplied by variables. Choice B is correct because it properly identifies the constant term as 0, following the definition that it's the number without variables. You've got it! Choice C forgets that the constant term is the number without any variables. In this expression, there's none, so 0, not 3 (which is a coefficient). A quick check: count your terms by counting how many parts would be separated if you put the expression in a calculator with clear + and - between them. For 3k³ - 2k² + k, you'd enter it as three separate chunks—all with variables, so constant is 0!

This question tests your understanding of the parts of algebraic expressions—specifically, how to identify terms. Terms are the parts of an expression that are added or subtracted from each other: think of them as the separate 'chunks' connected by + or - signs. For example, in $3x^2 - 5x + 2$, there are three terms: $3x^2$, $-5x$, and $2$ (notice that the $-5x$ includes the minus sign). Let's look at the expression $4a^2 - a + 7$ and find the terms. Terms are separated by + or - signs (at the main level, not inside parentheses): starting from the left, we have $4a^2$, then $-a$, and finally $+7$. That gives us 3 terms total. Choice A is correct because it properly identifies the terms as $4a^2$, $-a$, $7$, following the definition that terms include their signs. You've got it! Choice B is close, but it forgets to include the sign: the term is $-a$, not a. The minus sign is part of the term! This is a super common mistake, so watch out for it. Don't forget: signs matter! The term in $x^2 - 4x$ isn't 4x, it's $-4x$. Always include the sign that comes right before the term—that sign is part of it. This is one of the most common mistakes in algebra, so being careful here will save you lots of points!

This question tests your understanding of the parts of algebraic expressions—specifically, how to identify coefficients. A coefficient is the numerical part of a term that's multiplied by the variable(s): in the term 3x², the coefficient is 3 because it's the number being multiplied by x². Remember that coefficients include their sign, so in -5x, the coefficient is -5, not 5. To find the leading coefficient in -x² + 3x - 4, we look for the term with the highest power, which is -x² (like -1x²). That term is -x². The coefficient is the number part that's multiplied by the variable, which is -1 (with sign). If you don't see a number written, like in just 'x', the coefficient is 1! Choice B is correct because it properly identifies the leading coefficient as -1, following the definition that invisible coefficients with signs are -1 for terms like -x². You've got it! Choice D is close, but it forgets to include the sign and misses the leading term: the leading coefficient is -1 for -x², not -4 (which is the constant). This is a super common mistake, so watch out for it. Choice C gives the entire term -x² when the question asks just for the coefficient (which would be -1, the number part). The coefficient is only the numerical part, not the variable. To find a coefficient, first locate the term with the variable you're looking for, then identify just the number part (including the sign). If you don't see a number, the coefficient is 1 (for terms like x) or -1 (for terms like -x). Write out that 'invisible 1' when learning, and it'll help!

This question tests your understanding of the parts of algebraic expressions—specifically, how to identify the constant term. The constant term is the part of the expression that doesn't have any variables—it's just a number by itself, like the +2 at the end of 3x² - 5x + 2. The constant term is the number that stands alone without any variables attached. In -6x³ + 2x - 8, looking through each part, the constant term is -8. This is different from the coefficients, which are the numbers multiplied by variables. Choice C is correct because it properly identifies the constant term as -8, following the definition that it's the number without variables, including its sign. You've got it! Choice A is close, but it might confuse the coefficient of x³ with the constant; the constant is the standalone number, not attached to a variable. It's an easy mistake to make when you're learning to identify these parts! A quick check: count your terms by counting how many parts would be separated if you put the expression in a calculator with clear + and - between them. For 3x² - 5x + 2, you'd enter it as three separate chunks connected by operations—those are your three terms!

This question tests your understanding of the parts of algebraic expressions—specifically, how to identify terms. Terms are the parts of an expression that are added or subtracted from each other: think of them as the separate 'chunks' connected by + or - signs. For example, in 3x² - 5x + 2, there are three terms: 3x², -5x, and 2 (notice that the -5x includes the minus sign). Let's look at the expression 5y - 3 and find the terms. Terms are separated by + or - signs (at the main level, not inside parentheses): starting from the left, we have 5y, then -3. That gives us 2 terms total. Choice C is correct because it properly identifies 2 terms, following the definition that terms are the separate parts connected by + or - signs. You've got it! Choice B counts 3, but let me help clarify: there are only two parts here—5y and -3; no extra terms inside. It's an easy mistake to make when you're learning to identify these parts! Here's an easy way to identify terms: look for the + and - signs that aren't inside parentheses—those are your term separators! Everything between those signs (including the sign right before it) is one term. So in 5x² - 3x + 7, circle each + and -, and you can see the three terms clearly!

This question tests your understanding of the parts of algebraic expressions—specifically, how to identify coefficients. A coefficient is the numerical part of a term that's multiplied by the variable(s): in the term 3x², the coefficient is 3 because it's the number being multiplied by x². Remember that coefficients include their sign, so in -5x, the coefficient is -5, not 5. To find the coefficient of y in 2y² - y + 6, we look for the term that contains y (without higher powers). That term is -y. The coefficient is the number part that's multiplied by the variable, which is -1. If you don't see a number written, like in just 'x', the coefficient is 1! Choice B is correct because it properly identifies the coefficient as -1, following the definition that 'invisible' coefficients include the sign. You've got it! Choice C misses that when we don't see a number, like in '-y', there's still a coefficient—it's -1. These 'invisible' coefficients are easy to overlook! To find a coefficient, first locate the term with the variable you're looking for, then identify just the number part (including the sign). If you don't see a number, the coefficient is 1 (for terms like x) or -1 (for terms like -x). Write out that 'invisible 1' when learning, and it'll help!