math Jeoperdy

Linear equations

100

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 25 books and each large box can hold 50 books. There were 3 more large boxes sent than small boxes, which altogether can hold 450 books. Determine the number of small boxes sent and the number of large boxes sent.

There were 4 small boxes sent and 7 large boxes sent.

200

Jayden has $0.56 worth of pennies and nickels. He has a total of 20 pennies and nickels altogether. Determine the number of pennies and the number of nickels that Jayden has.

There are 11 pennies and 9 nickels

300

A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 100 nails and each large box has 350 nails. The contractor bought a total of 9 boxes that have 2400 nails altogether. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.

100s+350l=2400

s+l=9

400

Maya runs a farm stand that sells raspberries and blueberries. Each pound of raspberries sells for $1 and each pound of blueberries sells for $3.25. Maya made $192.50 from selling a total of 80 pounds of raspberries and blueberries. Determine the number of pounds of raspberries sold and the number of pounds of blueberries sold.

There were 30 pounds of raspberries sold and 50 pounds of blueberries sold.

500

Jeremiah and Tristan work at a dry cleaner ironing shirt. Jeremiah can iron 35 shirts per hour, and Tristan can iron 20 shirts per hour. Jeremiah and Tristan worked a combined 17 hours and ironed 490 shirts. Determine the number of hours Jeremiah worked and the number of hours Tristan worked.

Jeremiah worked 10 hours and Tristan worked 7 hours.

Polynomial Arithmetic

100

5x²+3x³-x⁴+(1/7)

-x⁴+3x³+5x²+(1/7)

200

−(x2/8)-x⁴+5x³+1

-x⁴+5x³-(1/8)x²+1

300

-9+(1/8)x-7x⁴+x²-x⁵

-x⁵-7x⁴+x²+(1/8)-9

400

4x²+5x³+x-3

5x³+4x²+x-3

500

4x⁶+3x²+x⁵+9

4x⁶+x⁵+3x²+9

solving Quadratic

100

Solve the equation x²-10x-9 the nearest tenth.

x={12.7,−0.7}

200

x²-7x-24

x={9.5,−2.5}