Converting Standard from to Slope Intercept form
Finding the dollar amount including the sales tax, gratuity, discount
Constant Of Proportionaily
Converting: Fractions, Decimals, Whole Numbers, and Percentages
Scale Factor
100

A line passes through the point (1, 2) and has a slope of 3. Write the equation of the line in standard form and then convert it to slope-intercept form.

y=3x−1

100

 A jacket is priced at 80,and you have a coupon for 15

Discount=80×(15/100)=12 Price After Discount=80−12=68

68

100

6/r = 15/20

R=8

100

Convert the percentage 60% to a decimal

60%=60/100=0.60 

Answer: 0.60

100

Nora measured a neighborhood park and made a scale drawing. A soccer field in the park is 27 inches long in the drawing. The actual field is 108 yards long. What scale did Nora use for the drawing?



1 inch : 4 yards

200

5x+2y=10 to slope-intercept form

y=−5/2x+5

200

You have a dinner bill of 50.If you want to leave a 20 percent as a tip how much would it be.

Tip=50×(20/100)=10 

10

200

18/15 = 6/r

R=5

200

 Convert the whole number 5 to a percentage

 5=5×100%=500% 

500%

200

Eric made a scale drawing of the auditorium. The stage, which is 35 feet wide in real life, is 5 inches wide in the drawing. What is the scale of the drawing?



1 inch :  7 feet

300

Convert the equation 2x+3y=6 to slope-intercept form.

y=−2/3x+2

300

A book costs 20 and has a sales tax of 5

Sales Tax=20×(5/100)=1 

Cost=20+1=21

300

Riley earned $5 for 12  of an hour babysitting. What is her hourly rate?


$per hour=10

300

Convert the fraction 3/4 to a decimal.

3/4=0.75

 Answer: 0.75

300

Steven made a scale drawing of a theater. The stage is 5 inches wide in the drawing. The actual stage is 20 feet wide. What is the scale of the drawing?

1 inch= 4 feet

400

Convert 4x−y=8 to slope-intercept form:

y=4x−8

400

 If a pair of shoes costs 60 and is on sale for 25

Discount=60×(25/100)=15 Price After Discount=60−15=45−

45

400

Shelley's cup of tea cooled down 12  of a degree in 10 seconds. At what rate is her tea cooling down?

1/20 degrees per second

400

Convert the decimal 0.25 to a fraction

0.25= 25/100=1/4 (after simplifying)  

Answer:1/4

400

Luna measured the elementary school and made a scale drawing. The schoolyard, which is 175 meters long in real life, is 25 centimeters long in the drawing. What scale did Luna use for the drawing?

1 centimeter : 7  meters

500

The standard form of a line is given by the equation 6x+4y=24. What is the slope of this line when you convert it to slope-intercept form?

Slope is −3/2

500

You bought a video game for 40 and paid 8 tax

Sales Tax=40×(8/100)=3.2 Total Amount=40+3.2=43.2 

43.20

500

Sean used 12 centimeters of tape to wrap 3 presents. How much tape will Sean need in all if he has to wrap 4 presents? Assume the relationship is directly proportional.

16 Centimeters

500

 Convert the percentage 25% to a decimal and then to a fraction

25%=25/100 =0.25 and 25/100 =1/4 - 

Answer: Decimal: 0.25, Fraction:1/4

500

Valeria drew a scale drawing of a farm. The goat pen, which is 20 meters long in real life, is 5 millimeters long in the drawing. What is the scale of the drawing?



1 millimeter : 4 meters

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