Math 7 Accelerated Online Quiz 3

A number that is multiplied by a variable is called a coefficient. The coefficient represents the constant value by which the variable is multiplied in an algebraic expression or equation. It helps determine the scale or magnitude of the variable's effect on the overall expression. The term "coefficient" is used in mathematics to describe this relationship between a number and a variable.

A constant is a value that remains the same and does not change. It is a fixed and unchanging quantity that is used in programming and mathematics. Constants are typically used to store values that are known and will not be altered during the execution of a program. They are often used for important values such as mathematical pi or the speed of light, which are considered to be unchanging and universal. The term "constant" can also refer to a variable or identifier that is declared with the const keyword, indicating that its value cannot be modified.

Terms are the individual components of an expression that are combined using mathematical operations such as addition or subtraction. In an expression, terms are separated by the plus or minus sign. These terms can be numbers, variables, or a combination of both. By adding or subtracting these terms, the expression can be simplified or evaluated to obtain a result.

The given expression is already simplified. Both -9y+1 and 1-9y are equivalent expressions that have combined the like terms.

The correct answer includes four expressions: -p+2, 2-p, -1p+2, and 2-1p. These expressions involve combining like terms, which means combining terms that have the same variable and exponent. In this case, the like terms are -p and 2, so the expression -p+2 combines these terms. Similarly, 2-p combines the terms 2 and -p. The expressions -1p+2 and 2-1p also combine the terms -1p and 2. By combining like terms, the expressions become simpler and more concise.

The given expressions all represent the same simplified expression. The terms "like terms" refer to terms that have the same variable and exponent. In this case, the terms "-x" and "5" are the like terms. Combining them gives the simplified expression "-x+5". Similarly, "5-x", "-1x+5", and "5-1x" are all equivalent expressions.

The given expressions all represent the same simplified expression, which is -y+3. This is because -y and -1y are like terms and can be combined to give -y. Similarly, 3 and 3-1y are also like terms and can be combined to give 3. Therefore, the simplified expression is -y+3.

The given equation is already solved for x. The answer is -4/5.

The given question asks to solve for x, but there is no equation or expression provided. Therefore, it is not possible to solve for x based on the given information. The answer provided, 5/3, does not make sense in the context of the question. It is likely that the question is incomplete or there is missing information.

To solve for x, we need to find the value of x that satisfies the given equation. However, the equation is not provided in the question. Therefore, an explanation cannot be generated as the question is incomplete.

The given question is asking to solve for x, and the answer is -1/7. This means that when we substitute -1/7 into the equation, it satisfies the equation and makes it true. Therefore, -1/7 is the value of x that solves the equation.

The given expression is -5p-3. The like terms in this expression are -5p and -3. By combining these like terms, we can simplify the expression to -5p-3. Another way to write the expression is -3-5p, which is also correct.

The given expression consists of two terms, 5t and -1. When we combine like terms, we simply add or subtract the coefficients of the terms. In this case, the coefficients are 5 and -1, and the variable t is the same in both terms. Therefore, the simplified expression is 5t-1. Similarly, -1+5t can also be simplified to 5t-1.

The given expression is -4p-4. This can be simplified by combining the like terms, which in this case are the constant terms -4 and -4p. So, the simplified expression is -4p-4. Another possible simplification is -4-4p, which is also correct.

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