Algebraic Expressions

How many terms are in the expression 4y + 8 + 9z?

• 4

• 9

• 3

• 8

Answer explanation

Terms are separated by operations like addition and subtraction.

Tags

CCSS.6.EE.A.2B

What are the coefficients of the expression 8y + 7a - 14? Select all that apply

• -14

• 8

• 3

• 7

Answer explanation

Coefficients are the numbers in front of the variable. If a number is not in front of the variable the coefficient is one. For example: The coefficient of x is 1.

Variables represent unknown numbers in the form of letters.

Constants-numbers that are constantly alone or without variables. They can be combined with other constants.

Tags

CCSS.6.EE.A.2B

Which description best matches the expression 4y-8?

• The difference of 4y and 8

• The sum of 4y and 8

• The quotient of 4y and 8

• The product of 4y and 8

Answer explanation

Difference is the answer to a subtraction problem.

Sum is the answer to an addition problem.

Quotient is the answer to a division problem.

Product is the answer to a multiplication problem.

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

How many terms are in the expression when simplified? 5(2x + x)

• 1

• 3

• 2

• 4

Answer explanation

Use the Distributive property to answer this question. 5 multiplied by 2x is 10x. 5 multiplied by x is 5x. You can then combine the "like terms". Both 10x + 5x have the same variable (x) and are raised to the same power (1), even though 1 is not usually written. Once you combine 10x and 5x you get 15 x.

Tags

CCSS.6.EE.A.2B

What is the largest Coefficient in this expression?

4x + 3y - 10

• 3

• 4

• 10

• -10

Answer explanation

The coefficient is the number in front of the variable.

Tags

CCSS.6.EE.A.2B

• 4xy

• 8

Answer explanation

To combine "like terms" they must have the same variable factors meaning they have the same variable and are raised to the same power.

Constants(just numbers) are also "like terms" and can be combined.

Tags

CCSS.6.EE.A.4

Which expression best represents the phrase "the quotient of y + 8 and 4"?

• y + 8 + 4

• 4(y + 8)

• y + 8 - 4

Answer explanation

Quotient is the answer to a division problem. Fractions represent division problems.

Tags

CCSS.6.EE.A.2A

Which best represents the expression 5n - 15?

• Fifteen times five subtracted from a number

• 5 times the difference of a number and 15

• Fifteen less than 5 times a number

• Five less than fifteen times a number

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

Which expression represents the product of 7 and y?

• 7+y

• 7y

• 7-y

Answer explanation

Product is the answer to a multiplication problem. Multiplication is the default operation in Algebra. When you see a coefficient and variable right next to each other it means they are being multiplied.

Tags

CCSS.6.EE.A.2A

Which term represents the constant in this expression?

y - 3x + 7

• 1

• 3

• 7

• 3x

Answer explanation

Constants are simply numbers without variables.

Tags

CCSS.6.EE.A.2B