5-5: Standard Form Word Problems

What is Standard Form of a line?

• y = mx + b

• Ax + By = C

• y − y₁ = m(x − x₁)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Oranges cost $4 per pound and bananas cost $2 per pound. A customer spends $28.

If "x" is the oranges and "y" is the bananas, which equation models this?

• 2x + 4y = 28

• 4x + 2y = 28

Tags

CCSS.8.EE.C.8C

The same situation -- Oranges are $4 and bananas are $2 for a total of $28.

The equation is: 4x + 2y = 28

How many pounds of bananas can you buy if you purchased 3 pounds of oranges?

• 6 pounds

• 8 pounds

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.SSE.A.1

Hats are $10 each and gloves are $5 each. A customer spends a total of $30.

If "x" is the hats and "y" is the gloves, which equation models this?

• 10x + 5y = 30

• 5x + 10y = 30

Tags

CCSS.8.EE.C.8C

The same situation -- Hats are $10 each and gloves are $5 each for a total of $30.

The equation is: 10x + 5y = 30

How many hats can you buy if you got 2 sets of gloves?

• 2 hats

• 4 hats

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

Small bags of apples are $2 each and large bags of oranges are $6 each. A customer spends a total of $28.

If "x" is the number of bags of apples and "y" is the number of bags of oranges, which equation models this?

• 6x + 2y = 28

• 2x + 6y = 28

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

The same situation -- Bags of apples are $2 each and bags of oranges are $6 each. A customer spends a total of $28.

The equation is: 2x + 6y = 28

How many bags of oranges can you buy if you buy 2 bags of apples?

• 4 bags

• 3 bags

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.SSE.A.1