MAT-121: COLLEGE ALGEBRA

Written Assignment 1

2.5 points each

SECTION 1.1

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.

3. 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. 
   1. Write the equation that       describes the footing. 
   2. Solve for m.

     

SECTION 1.2

Numeric

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.

Technology

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

Extensions

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

SECTION 1.3

Numeric

For practices 13 and 14, disencumber each countenance.

Algebraic

For practices 15-17, disencumber each countenance.

Real-World Applications

1. 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.

SECTION 1.4

Algebraic

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.

Real-World Applications

1. 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.

SECTION 1.5

Algebraic

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.

Real-World Applications

For the subjoined practice, investigate this scenario:

1. 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.

1. Factor by grouping to ascertain the       elongation and width of the ring.
2. 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.
3. 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.

SECTION 1.6

Algebraic

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.

Real-World Applications

1. 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: .
2. 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.