Non-linear equations (one variable)

Which of the situations described below can be modeled by the equation $n+0.5n-0.3n=1.2n$ , where n is the number of nickels originally in the jar? 

• Amanda takes out 50% of the nickels in the gar on Friday and adds a number of nickels that is equal to 30% of the remaining number of nickels in the jar on Monday. There are 20% fewer nickels in the jar after Monday than before Friday.

• Amanda takes out 50% of the nickels in the jar on Friday and adds a number of nickels that is equal to 30% of the original number of nickels in the jar on Monday. There are 20% fewer nickels in the jar after Monday than before Friday.

• Amanda adds 50% of the original number of nickels to the jar on Friday. The number of nickels Amanda takes out on Monday is equal to 30% of the new number of nickels.. There are 20% more nickels in the jar after Monday than before Friday.

• Amanda adds 50% of the original number of nickels to the jar on Friday. The number of nickels Amanda takes out on Monday is equal to 30% of the original number of nickels. There are 20% more nickels in the jar after Monday than before Friday.

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CCSS.HSA.CED.A.1

Translate " four less than the square of a number is negative eight" into mathematical equation.

• x² - 4 = -8

• x² + 4 = -8

• 2x - 4 = -8

• 2x + 4 = -8

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CCSS.HSA.CED.A.1

Select the mathematical statement for the following equation. x + (x+1) + (x +2) =16

• The sum of three consecutive even integers is sixteen

• The sum of three consecutive odd integers is sixteen

• The difference of three consecutive integers is sixteen

• The sum of three consecutive integers is sixteen

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CCSS.HSA.CED.A.1

The price of a graphing calculator is $80. The sales tax is 7%. What is the total cost of the calculator?

• $5.60

• $85.60

• $87.00

• $74.40

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CCSS.HSA.CED.A.1

Five fourth-grade classes at Escondido Elementary are going to the museum. Four classes have 28 students and one class has 30 students. The cost of each student to attend the field-trip is $8. How much money will Ms. Valdez need to collect from the fourth-graders altogether?

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CCSS.HSA.CED.A.1

A fungus is taking over a garden. There are 95000 fungus spores and the spores are decreasing at a rate of 1.375% per hour due to a fungicide being sprayed. Is this a growth or decay?

• growth

• decay

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CCSS.HSA.CED.A.1

Forty-Four cows can graze a field in 15 days. How many fewer or more cows can graze the meadow in 12 days.

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CCSS.HSA.CED.A.1

A plane left Chicago at 8:00 AM central time. At 1:00 PM central time, the plane landed in Los Angeles, which is 1500 miles away. What was the average speed of the plane for the trip?

• 300 mph

• 214 mph

• 167 mph

• 620 mph

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CCSS.HSA.CED.A.1

Once upon a time, a furniture manufacturing workshop which had 3 craftsmen named Mr. Arman, Mr. Budi, and Mr. Catur received an order to make 1 cabinet and 1 tables. Mr. Arman and Mr. Budi were able to finish the job for 4 weeks. If Mr. Arman works with Mr. Catur they can complete the order in 2,4 weeks, whereas if Mr. Budi works with Mr. Catur they can complete the job for 3 weeks. The amount of time needed to complete an order if Mr. Budi if working alone is ... weeks.

• 4

• 6

• 10

• 12

• 16

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CCSS.HSA.CED.A.1

Mrs. Jones wants to put her recipes into an album. Each page will hold 6 recipes.  She has 36 recipes.  How many pages will she need?

• 12
• 3
• 6
• 7

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CCSS.HSA.CED.A.1