Chapter 6 Review

Solve for x 

• x = 16

• x = 28

• x = 1/26

• x = 26

Answer explanation

Remember to use butterfly method!

Tags

CCSS.7.RP.A.2B

Solve the proportion:

• 4

• 8

• 14

• 10

Answer explanation

Butterfly method - multiply the diagonals and set them equal to each other!

Tags

CCSS.7.RP.A.2B

Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?

• $30

• $20

• $60

• $10

Answer explanation

Remember to keep proportions evenly set up!

For instance, this problem could have both of your ratios set up as

amount of hamburger / price

Tags

CCSS.6.RP.A.3B

12 ounce shampoo bottle lasts Mike 16 weeks.  How long would you expect an 18-ounce bottle of the same brand to last him?

• 24 weeks

• 6 weeks

• 30 weeks

• 20 weeks

Answer explanation

Remember to keep proportions evenly set up!

For instance, this problem could have both of your ratios set up as

shampoo ounces / time

Tags

CCSS.6.RP.A.3B

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet

• 21 feet

• 27 feet

• 32 feet

Answer explanation

Remember to keep proportions evenly set up!

For instance, this problem could have both of your ratios set up as

object /object's shadow

Tags

CCSS.HSG.SRT.C.8

At the same time a 6 foot person casts a 2 foot shadow, a nearby flagpole casts a ten foot shadow.  How tall is the flagpole?

• 3 feet

• 10 feet

• 16 feet

• 30 feet

Answer explanation

Remember to keep proportions evenly set up!

For instance, this problem could have both of your ratios set up as

object/ object's shadow

Solve the proportion

• x = 3

• x = -3

• x = 1

• x = -1

Answer explanation

Remember that you must put the (x - 4) in parentheses and then distribute (multiply).

Tags

CCSS.7.EE.B.4A

Are the triangles similar?

• Yes

• No

Answer explanation

Things to remember:

All triangles' interior angles add up to 180.

AA works for similarity!

Tags

CCSS.HSG.SRT.A.2

Find side length X.

• 30

• 25

• 15

• 40

Answer explanation

Try AB/ XY = BC / YZ

Tags

CCSS.HSG.SRT.A.2

Do these triangles appear to be similar? If so, how?

• AA

• Ratio of two sides and an included angle equal

• Three sides proportional

• Not Similar

Answer explanation

Remember, it can be SSS, SAS, or AA

Tags

CCSS.HSG.SRT.A.2