Section 1.3Modeling with Linear Equations

• I can write and use math models to solve real-life problems.

1.3 day 1 HW: 1.3 worksheetFriday: 1.3 additional practiceMonday: Review 1.2 and 1.3Tuesday: additional day of reviewWednesday: Quest 1.2-1.3

THE RULES1. A problem will appear on the screen. 2. Use discussion in your group and paper to solve the

problem. 3. You have three minutes maximum to solve the problem.4. When you have your answer, write it down on the white

board and hold it up so the teacher can see.5. First group to get a correct answer gets three points.6. Second group to get a correct answer gets two points.7. Any other group who gets a correct answer gets one

point.8. ONLY ONE ANSWER MAY BE SUBMITTED PER

QUESTION.9. The group with the most points at 11:55am gets 5 points

extra credit per person, second place 4 points per person, etc.

Question 1The sum of three consecutive numbers is 804. Find the numbers.

x x 1 x 2 804

3x 3 804

x 267

267,268,269

Question 270 is 40% of what number?

0.4x 70

x 175

Question 3Your paycheck is 15% less than your coworkers. Your two paychecks total $1391.20. Find the amount of YOUR paycheck.

x 0.85x 1391.20

x 752

Yours : 0.85x $639.20

Question 4A picture frame has a total perimeter of 48.6 inches. The height of the frame is 0.62 times its width. Find the height (h) and the width (w) of the frame. Note, your answer should look like h = ___ and w = ___

2h 2w 48.6

2 0.62w 2w 48.6

w 15 inches

h 9.3 inches

Question 5Two cars start at a given point and travel in the same direction at average speeds of 40 mph and 55 mph. How many MINUTES elapse before the two cars are five miles apart?

55t 40t 5

15t 5

1t hr

320 minutes

Question 6*A LWN bus driver traveled at an average speed of 55 mph on a 200 miles trip to U of I to pick up students. Since I-57 was closed on the way back, he could only average 40 mph on the return trip. Find the average speed for the round trip. Round your answer to the nearest whole number.

55t 200 40t 200

40t t 5

11

405 t 400

11

t 46mph

Question 7To obtain the height of a tree, you measure the tree’s shadow and find that it is 8 feet long. You also measure the shadow of a 2 foot lamp post and find that it is 9 INCHES long. How many feet tall is the tree?

9 / 12 2

8 xx 9feet

Question 8An apple store has $20,000 of inventory in ipods and iphones. The profit on an ipod is 25% and the profit on an iphone is 17%. The profit for the entire inventory is 20%. How much money was originally invested in each? Your answer should read Ipods - $_________ Iphones $___________

0.25x 0.17 20000 x 20000 0.20

0.08x 600

x 7500

Ipods $7500 Iphones $12500

Question 9

4 2

2

5x x

25x 5

Simplify the expression below

14 25x 25x

Question 10*A rectangular kiddie pool is 12 feet long, 3 feet deep, and 3 feet wide. If 1 gallon = 0.13368 cubic foot, find the depth of the water when the pool contains 70 gallons of water. Round your answer to TWO DECIMAL PLACES.

70 gallons 9.3576 cubic feet

12 3 h 9.3576

h 0.26feet

Question 11

2A ah bh

2A ah bh

2A ahb

h

Solve the equation below for b, writing your answer as a single simplified fraction:

1A a b h

2

Question 12

2

2 3

3

2

3V h 3r h

3V 3 h r h

3V hr

3 h

Solve the equation below for r, writing your answer as a single simplified fraction:

21V h 3r h

3

Section 1.3Modeling with Linear Equations

1.3 day 1 HW: 1.3 worksheetFriday: 1.3 additional practiceMonday: Review 1.2 and 1.3Tuesday: additional day of reviewWednesday: Quest 1.2-1.3

• I can write and use math models to solve real-life problems.