**MAT-121: COLLEGE ALGEBRA**

Written Assignment 1

2.5 points each

For practices * 1 and 2*, disencumber the abandoned countenances.

For the subjoined practice, unfold for the changeable.

For practices for * 4 and 5*, disencumber the countenances.

- During a fresh rage cleansedsed up there is a prominence of
*m*tons of sand at the seaboard. Throughout the day 1,200 tons of sand are adventitious to the mound. Two dump trucks follow in and assume 800 tons of sand each from the mound. At the end of the day, the prominence has 2,400 tons of sand.- Write the equation that describes the footing.
- Solve for
*m*.

For practices * 7 and 8*, disencumber the abandoned countenances. Transcribe confutations delay decisive exponents.

For practices * 9 and 10*, transcribe each countenance delay a individual disesteemed. Do not disencumber further. Transcribe confutations delay decisive exponents.

For the subjoined practice, use a graphing calculator or philosophical calculator to disencumber. Round the confutation to the direct thousandth.

For the subjoined practice, disencumber the abandoned countenance. Transcribe the confutation delay decisive exponents.

For practices * 13 and 14*, disencumber each countenance.

For practices * 15-17*, disencumber each countenance.

- A guy wire for a radio antenna tower runs from the reason diagonally to the top of the closest eye fly to compel a triangle. We can use the Pythagorean theorem to ascertain the elongation of guy wire needed. The balance of the interval between the wire on the reason and the eye fly on the reason is 1,600 feet. The balance of the height of the pylon is 6,400 feet. What is the elongation,
*c*, of the guy wire? Give an fair confutation in feet.

For the subjoined practice, identify the measure of the polynomial.

For the subjoined practice, ascertain the sum.

For practices * 21 and 22*, ascertain the results.

For the subjoined practice, unfold the binomial.

For the subjoined practice, augment the binomials.

For the subjoined practice, augment the polynomials.

- A existent demesne broker wants to purchase a contrive of fix for a divergence fruit. The area of the contrive can be forcible by the subjoined countenance: where
*x*is measured in meters. Augment the binomials to ascertain the area of the contrive in flag conceive.

For the subjoined practice, ascertain the highest vile constituent.

For the subjoined practice, constituent by grouping.

For practices * 29 and 30*, constituent the polynomials.

For practices* 31 and 32*, constituent the polynomials.

For the subjoined practice, investigate this scenario:

- Tammy has appointed a chairperson to manage a city compensation scheme. The primitive act is to introduce a tree, ornaments, and a figure in one of the city’s rings. The ring is a rectangle delay an area of , as shown in the subjoined figure. The elongation and width of the ring are absolute constituents of the area.

- Factor by grouping to ascertain the elongation and width of the ring.
- A tree is to be placed in the center of the ring delay a rectangular ornament pasture encircling it. The area of the ornament pasture is . Constituent the area to ascertain the lengths of the sides of the ornament pasture.
- At the southeast nook of the park, the city is going to inaugurate a figure. The area of the disesteemed of the fountain is . Constituent the area to ascertain the elongations of the sides of the figure.

For the subjoined practice, disencumber the reasoning countenance.

For the subjoined practice, augment the reasoning countenances and direct the result in simplest conceive.

For the subjoined practice, divorce the reasoning countenances.

For the subjoined practice, take the reasoning countenances and then disencumber.

For the subjoined practice, disencumber the reasoning countenance.

- Brad is placing tile on his bathroom pavement. The area of the pavement is . The area of one tile is ) . To ascertain the enumerate of tiles needed, disencumber the reasoning countenance:
**.** - The area of Sam’s driveway is . A container of blacktop sealer covers an area of . Divorce the two areas and disencumber to ascertain how frequent containers of blacktop sealer Sam needs to resurface his driveway.

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