Mod 7 Exam - Equations

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What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in the term -2r, -2 is the coefficient.

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What is a constant in an equation?

Back

A constant is a fixed value that does not change. For example, in the equation 5r + 15 = 30, 15 is a constant.

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What is a variable?

Back

A variable is a symbol used to represent an unknown value. In the expression 3x + 2, x is the variable.

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What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

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Back

Front

What is the difference between one solution, no solution, and infinite solutions?

Back

One solution means there is a single value that satisfies the equation. No solution means there is no value that satisfies the equation. Infinite solutions mean any value satisfies the equation.

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What does it mean to distribute in an equation?

Back

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What is a term in an algebraic expression?

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A term is a single mathematical expression that can be a number, a variable, or a combination of both, such as 4x or -7.

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What is the purpose of solving an equation?

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The purpose of solving an equation is to find the value of the variable that makes the equation true.

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What does it mean if an equation has no solution?

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An equation has no solution if there is no value for the variable that can satisfy the equation, often resulting in a contradiction.