Lesson 8.1.3 R&P 8-29 to 8-34 (skipped 8-34)

8-29) At 3:25 p.m., two trains left Kalamazoo, Michigan. One train traveled westward at a constant rate of 82 miles per hour, while the other traveled eastward at a constant rate of 66 miles per hour. If they are now 111 miles apart, what time is it now? Write and solve an equation (or system of equations) to answer this question. 

(a)  

Tags

CCSS.7.EE.B.4A

8-30) a. Remember that a square is a rectangle with four equal sides.

If a square has an area of 81 square units, how long is each side?

(a)  

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

8-30) b. Remember that a square is a rectangle with four equal sides.

Find the length of the side of a square with area 225 square units.

(a)  

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

8-30) c. Remember that a square is a rectangle with four equal sides.

Find the length of the side of a square with area 10 square units.

• 100 square units

• 5 units

Tags

CCSS.8.EE.A.2

8-30) d. Remember that a square is a rectangle with four equal sides.

Find the area of a square with side 11 units.

• 121 square units

• 5.5 units

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Tags

CCSS.HSA.APR.C.4

Tags

CCSS.HSA.APR.C.4

8-31) e. Parts (a) through (c) are trinomials while part (d) is a binomial, yet they are all quadratics. What makes each of them a quadratic?

• Because they can all be factored.

• Because they all have a minus/subtraction in them.

• Because you can write the product for each of them.

• Because there is a variable that is squared in each of them.