Ms Duprey week 2

Proportional Reasoning

100

Solve for x to make these equivalent fractions: 4/15 = x/45

X = 12

200

Solve for x to make these equivalent fractions: 3/12 = x/6

X = 1.5 

300

If I use 2 tablespoons of olive oil to make 3 cups of pasta, how many tablespoons will I need to make 10 cups of pasta (rounded to 2 decimal places)?

6.67

400

If I spend $215 dollars a week on groceries when there are 3 people living in my apartment, how much will I spend when there are 4 people living there (rounded to 2 decimal places)?

$286.67

500

If I have a triangle with the height of 10 cm and base of 40 cm and I have a similar smaller triangle with a height of 2.5cm, what is the base of this smaller triangle?

10 cm

Unit Conversions

100

My dog is 44 inches tall. What is my dog’s height in feet? (12 inches = 1 foot)

3.67 inches rounded to the nearest two decimals or 3 feet and 8 inches

200

The movie I watched last night was 223 minutes long. How many hours long is this movie? (60 minutes = 1 hour) 

3.72 rounded to the nearest two decimal places or 3 hours and 43 minutes 

300

I sprinted 223 meters. How many kilometers did I sprint (1 kilometer = 1000 meters)?

0.223 kilometers

400

I want to drink 5/6 of a gallon of water today. How many ounces of water did I drink (1 gallon = 128 ounces) - (rounded to the nearest two decimal places)?

106.67 ounces

500

I can run 1124 feet. How many miles can I run? (1 mile = 5280) - (rounded to the nearest two decimal places)?

0.21 miles 

Order of Operations

100

3 + 2 x 4

11

200

7 x 3²

63

300

5 (9 + 3) - 3 x 4

48

400

4 x 6/8 - 12 + 72/8 - 9

-9

500

(22/2- 2 x 5)²  + (4 - 6/6)² 

10

Solving Equations

100

5x + 2 = 17

x=3

200

2x + 2 = x + 6

x=4

300

5(x + 10) = 12x + 15

x=4

400

4x - 7 (2 - x) = 3x + 2

x = 2

500

−4(−3n−8)=10n+20

n = -6

Solving Inequalities

100

 x – 6 > 14

X > 20

200

7 – x < 9

X > -2

300

4 - 6x (>=) -15 + 1

x (<=) 3

400

3x – 8 + 2x < 12

x < 4

500

3x - 6 > 8x - 7

x < 1/5