by: La'Miracle Lipscomb

*System Of Equations*

by: La'Miracle Lipscomb

Add short body of text

- 2x +7=24
- Step 1- subtract 7 from both sides
- 2x+7-7=24-7
- 2x=17
- Step 2- Divide both sides by 2
- 2x/2=17/2
- Answer- x=17/2 or x=8.5

w/4-3=12

**Step 1-**- 1/4w+3=12
- Step 2- add 3 to both sides
- 1/4w-3+3=12+3
- 1/4w=15
- Step 3- multiply both sides by 4
- 4*(1/4w)=(4)*(5)
- Answer- w=60

5k+3/4=-10

Step 1- simplify both sides of equation

5k/4+3/4=-10 (distribute)

Step 2- subtract 3/4 from both sides

5/4+3/4-3/4=-10-3/4

5/4k=-43/4

Step 3- multiply both sides by 4/5

(4/5)*(5/4k)=(4/5)*(-43/4)

Answer- k=-43/5 or k=-8.6

John and Amy ate 24 cookies put together. If John ate 7 cookies and Amy ate 2 times as much as John, how many cookies did Amy eat. (2x=7=24)

Tommy has 4 dogs. Tommy wants to know how to divide the food among the 4 dogs. Tommy has 2 dogs that won't eat as much as the other 2 dogs, so if Tommy has a 12 ounce bag of dog food how much food will each dog get. (w/4-2=12)

LOADING AWESOME

LOADING AWESOME

The relationship between the temperature in degrees Fahrenheit,F, and the temperature in degrees Celsius, C, is represented by the formula F=9/5c+32.

A). solve the formula for C to express the Celsius temperature in terms of the Fahrenheit temperature.

B). A classmate tells you that there is one Fahrenheit temperature that is the same as the

Part B-

C=5/9(9/5c+32)+-160/9C=C

C+-C=C+-C

0=0

infinitely many solutions

Part A-

F=9/5c+32

9/5c+32=F9/5c+32=(-32)=F+(-32)

9/5c/9/5=f-32/9/5

C=5f-160/9

LOADING AWESOME

task 3-

**solve one proportion using properties of equality. Solve the other using cross products. Explain the steps you used in each process.**

** **

**A).x/21=4/7 7/4=21/x**

**B. create a proportion that models a real-world situation. Be sure to define the variable, related it to a model, write the equation, and solve the proportion.**

Task 3-

part a

*x/21=4/7*

Step 1- cross multiply

x*7=4*21

Step 2- divide both sides by 7

7x/7=84/7

Answer- x=12

task 3-

part b

Vito uses 9 liters of water to water 24 flowers pots. He is wondering how many liters of water (w) it would take to water 40 flower pot. He assumes he'll use the same amount on each pot.

w/9=40/24

**Step 1- cross multiply**

**w*24=40*9**

**Step2- divide 24 on both side 24w/24=360/24**

**Answer-**

**w=15**

LOADING AWESOME

LOADING AWESOME

Task 4

Michael has made a scale drawing of his classroom. The scale for his drawing is 0.5in. : 3ft.

**A). The length of the classroom is 30ft. The length of the room on the scale drawing is 6in. is this correct? Explain why or why not**.

B). one of the student tables is 6ftlong. how long should it be on the scale drawing? Explain how you got your answer.

C). write your own problem concerning Michael's drawing. Solve and explain your answer.

C). one wall in the classroom is 25ft. How long should it be on the scale drawing

0.5/3=x/25

(0.5)*(25)=x*(3)

3x/3=12.5/3

x=4.1

A. No, this not correct because when you set up a proportion and cross multiply the answer makes the statement false.

B). 0.5/3=x/6

0.5*6=x*3

3/3=3x/3

x=1in

LOADING AWESOME