College Algebra Ch.3 Review

Section 3.1

100

If x represents a number, then a second number that is 4 more than two times the first number is represented by _?_.

2x+4 or 4+2x

200

If x represents a number, then the next consecutive number is represented by _?_.

x+1

300

If x represents the cost of an item, then the 6% sales tax on the item is represented by _?_.

0.06x

400

If x represents the cost of an item, then the cost of the item plus a 6% sales tax is represented by _?_.

x+0.06x

500

A 20-ft board is cut into two pieces. If the length of one piece is represented by x, then _?_ represents the length of the other piece.

20-x

Section 3.2

100

If x represents a number, then 3 less than 4 times that number is represented by _?_.

4x-3

200

The statement "a number x plus twice that number is 30" can be represented by the equation _?_.

(x) + (2x) =30

300

The statement "the sum of two consecutive numbers is 43" can be represented by the equation _?_.

(x) + (x+1) = 43

400

The statement "the sum of two consecutive odd numbers is 16" can be represented by the equation _?_.

(x) + (x+2) =16

500

The statement "the difference of two numbers is 20 and the larger number is 10 more than twice the smaller number (x)" can be represented by the equation _?_.

(2x+10) - (x) =20

Section 3.3 (pt.1)

100

What is the formula for the perimeter of a rectangle?

P = 2L + 2W

200

The sum of the measures of the three angles in a triangle equals _?_.

180^o

300

Two angles are _?_ if the sum of their measures is 90^o.

complementary

400

Two angles are _?_ if the sum of their measures is 180^o.

supplementary

500

A triangle with at least two equal sides is called _?_.

isosceles

Section 3.3 (pt.2)

100

If the measure of one angle is 35^o, then what is the measure of the angle that is complementary to it?

55^o

200

If the measure of one angle is 58^o, then what is the measure of the supplementary angle?

122^o

300

If the three angles in a triangle are all equal, what is the measure of each angle?

60^o

400

A four-sided figure is called a _?_.

quadrilateral

500

If the non-equal side of an isosceles triangle is 5 inches, and the perimeter of the triangle is 35 inches, what is the measure of each of the equal sides?

15 inches

Section 3.4

100

What is the distance formula?

d = rt

200

What is the simple interest formula?

i = prt

300

If almonds cost $2.50 per pound, what is the value of x pounds of almonds?

2.50x

400

What is the amount of acetic acid in x liters of a 5% acetic acid solution?

0.05x

500

Ted has $15,000 to invest in two accounts. If the amount of money that he invested into each account is unknown, how is each amount represented?

(x) and (15,000 - x)