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Understanding Coefficients in Algebra

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10 Questions

The _ is a number that is multiplied by a variable.

coefficient

In the expression 5x^2 + 3 - 4y which number or letter represents a coefficient?

5

When we ______________ we have terms that have identical variables.

combine like terms

An example of combining like terms would be the following: 5x + 3y - 7x +52 - y we combine to: -2x + 3y + 52 - y

False

Match the term in column a with the definition or explanation in column b. Draw a line between the two.

infinite number of solutions = an equation that has many solutions solution to an equation = a number that can be used in place of a variable to make the equation true one solution = an equation that can be solved to a singular solution no solution = an equation that, if after solving it, leads to a false statement

To ______________ an expression, we use the distributive property to rewrite a sum as a product.

factor

To ____________an expression, we use the distributive property to re-write a product as a sum.

expand

In the following expression we have expanded the expression if we do the following. 5(2x+3) = 10x+15

True

In the following equation we have factored an expression if we do the following: 6x + 3y - 12 = 3(2x +y-4)

True

In the expression 6x + 5y - 3, the three represents:

a constant term

Test your knowledge on coefficients in algebra, which are numbers that are multiplied by variables in mathematical expressions.

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