Math in Focus Chapter 7 Algebraic Expressions

Identify the variable(s) in the following expression:

• x

• y

• x, y

• x, y, 8

Identify the coefficient(s) in the following expression:

-6f + 2g - 9 + 10f

• 6, 2, 9, 10

• -6, 2, 10

• 6, 2, -9

• -6, 2, -9, 10

What is the definition of a "coefficient?"

• A lowercase letter that represents an unknown quantity.

• A rational number.

• A number multiplied by a variable.

• Parts of an expression separated by addition or subtraction signs.

Identify the constant(s) in the following expression:

-4a + 6 - a + 3

• -4, 6, -1, 3

• -4, -1

• 6, 3

• -4a, -a

Translate the phrase into an algebraic expression: "Seven less than twice a number."

• $400

• $275

• $5

Your favorite local band is selling merchandise and they have asked you to write an algebraic expression to represent their total profit. They are selling t-shirts (t) for $15 each and CDs(c) for $5 each.

• $400

• $275

• $5

What expression does this number line represent?

• 4n - n

• 2n + n

• 8n - 2n

• 16n - 4n

The table shown below represents the number of hours that Mike practiced his guitar each day. Which expression represents the total amount of time that Mike practiced his guitar?

• 10x

• 7x + 3

• 8x + 3

• none of the above

Translate the following sentence into an equation: "Eight times a number, decreased by 13, is equal to 35."