Algebraic Expressions

What is the constant in the expression

3 + 4y?

• 4

• 3

• 4y

• y

Answer explanation

3 is the constant because it is not multipying a variable.

while 4 is the coefficient of the variable y

Tags

CCSS.6.EE.A.2B

True or false: Algebra can be used to represent problems where numbers are unknown

• True

• False

Tags

CCSS.HSF.BF.A.2

What are the terms in the expression

3x² + 2xy - 5

• 3, 2 and -5

• x² and xy

• 3x² and 2xy

• 3x² , 2xy and -5

Answer explanation

Terms are parts of expressions that are separated by addition and subtraction

Tags

CCSS.6.EE.A.2B

Ms Jensen likes to divide her class into two equal groups of g. What expression represents all of her students in her class?

• 2g

• g

• g/2

• g²

Answer explanation

If 1/2 of her class is g, then her total class would be...

g + g or 2g

Tags

CCSS.HSA-SSE.A.1A

What expression means 5 more than twice a number n

• 5 + n²

• 2n + 5

• 2n -5

• 10 n

Answer explanation

Twice the number n is

2 * n or 2n

5 more than twice the number n means that 5 is added to two times the number n. that is

2n + 5

Tags

CCSS.6.EE.A.2A

What are like terms?

• Terms that have the same coefficients

• Terms that have one variable only

• Terms that have the same variables or variables with the same power

• Terms that like each other

Tags

CCSS.6.EE.A.2B

Which is a pair of like terms?

• 3x and x

• 10y and 10y²

• x and xy

• 4y² and 4x²

Answer explanation

The two terms are 3x and x.

3x and x is the same as

3x¹ and x¹

The variables are the same in both terms and they have the same power of 1.

Tags

CCSS.6.EE.A.2B

Choose the like terms from the expression:

5m³ + 9m² + 20 - 16m² - 7

• 9m² and -16m²

• 5m³ and 9m²

• 5m³ and 20

• 20 and - 16m²

Answer explanation

The variales ar the same in both terms and they have the same power of 2

Tags

CCSS.6.EE.A.2B

Choose another pair of like terms from the expression

5m³ + 9m² + 20 - 16m² - 7

• 9m² and 20

• 5m³ and 20

• 20 and -7

Answer explanation

Explanation 1

20 and -7 are both constants and can be easily added together.

20 - 7 is the same as 13

Explanation 2

Although it is not seen, they could have the same variable with the same power.

20 is the same as 20 * x⁰

Recall that x⁰ = 1, that i any number rasied to the power of 0 is 1

Tags

CCSS.6.EE.A.2B

The simplified expression of the expression

5m³ + 9m² + 20 - 16m² - 7

is

• 5m³ + 9m² - 16m² - 7 + 20

• -2m² +13

• 5m³ -7m² + 13

Answer explanation

Group all the like terms and add them to make the expression simplier.

Tags

CCSS.7.EE.A.1