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6-8 Grade 8 Unit 4

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K-5 Math •6-8 Math 9-12 Math

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IM K-5 Math
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Unit 4

Glossary

Grade 8

A coefficient is a number that is multiplied by a variable.

In the expression \(3x+5\), the coefficient of \(x\) is 3.
In the expression \(y+5\), the coefficient of \(y\) is 1, because \(y=1 \boldcdot y\).

From an earlier course.

In an expression like \(5x+2\), the number 2 is called the constant term. It doesn’t change when the variable \(x\) changes.

In the expression \(7x+9\), the constant term is 9.
In the expression \(5x+(\text-8)\), the constant term is -8.
In the expression \(12-4x\), the constant term is 12.

used in:

Unit 4 Resources

Student Materials

A system of equations is a set of 2 or more equations. Each equation has 2 or more variables. A solution to the system is values for the variables that make all the equations true.

These equations make up a system of equations:

\(\displaystyle \begin{cases} x + y = \text-2\\x - y = 12\end{cases}\)

The solution to this system is \(x=5\) and \(y=\text-7\). When these values are substituted for \(x\) and \(y\), both equations are true: \(5+(\text-7)=\text-2\) and \(5-(\text-7)=12\).

used in:

Terms are the parts of an expression that are added together. They can be a single number, a variable, or a number and a variable that are multiplied together.

7, \(y\), and \(9a\) are examples of terms.
The expression \(5x+3-18\) has 3 terms: \(5x\), 3, and -18.

From an earlier course.