Math 87 Review

Algebra

100

m²/4 = 9

+/- 6

200

Factor the algebraic expression.

6a²b³ + 9a³b² + 3a²b²

3a²b²(2b+3a+1)

300

Graph the following equation. What is the slope of the line?

y=1/3x - 4

see answer key (1.3)

1/3

400

Write and solve an equation.

Six less than the square root of the product of a number and 32 is negative 2.

see answer key 1.4

x = 1/2

Angles and Triangles

100

See problem 2.1

Classify the triangle by
a) sides
b) angles

a) scalene
b) acute

200

See problem 2.2

Find the measure of angles BCD, BAC, and ACD.

BCD: 65

BAC: 65

ACD: 25

300

See Problem 2.3.

a) name a pair of corresponding angles
b) name a pair of alternate exterior angles
c) name a pair of alternate interior angles

a) S and U; W and Y; T and V; X and Z
b) T and Y; X and U
c) S and Z; W and V

400

See problem 2.4. The triangles are similar, and dimensions are in inches.

a) Find x
b) Find the scale factor from the larger to the smaller triangle (write as a fraction)
c) Find the scale factor from the area of the smaller to the area of the larger triangle (write as a fraction)

a) x = 6 in
b) 3/4
c) 16/9

500

Sally went to a level field to fly a kite. She let out all 13 yards of string and tied it to a stake. Then she walked out on the field until she was directly under the kite, 5 yards from the stake. About how high was the kite?

12 yards

Area / Surface Area / Volume / Circumference

100

What is the volume of a cube with sides of 2.4 inches?

5.76 in³

200

A ball with a diameter of 20 cm has a volume of how many cubic cm? Use 3.14 for pi. Round your answer to the nearest hundred cubic cm.

4200 cm³

300

A pyramid with a height of 2 in and a base of 12 in square is packed in the smallest cubical box that can contain it. What is the volume of the box, and what is the volume of the pyramid?

1728 in³

576 in³

400

See problem 3.4

a) find the perimeter
b) find the area

a) 24 cm
b) 36 cm²

500

See problem 3.5

Find the volume of the figure.

1,582.56 cm³

Mental Math

100

Compare:

(-2)⁴ O -(2⁴)

>

200

Convert 50 degrees C to degrees F

122 degrees F

300

(8 x 10^-6)²

6.4 x 10^-11

400

36            180
__      =     ___

0.6            x

x = 9

500

The median home price in the county increased from $180,000 to $189,000 in one year. This was an increase of what percent?

5%

Miscellaneous

100

A jar contains 6 red marbles, 8 green marbles, and 12 blue marbles. What are the odds that a random marble drawn from the jar will be green?

4 to 9

200

If a $200 investment earns 15% interest compounded annually, then the investment will double in value after how many years?

5

300

Sally paid $20.00 for 3 pairs of socks priced at $1.85 per pair and a T-shirt priced at $8.95. The sales tax was 6 percent. How much money should he get back?

$4.63

400

A $300 coat was marked down 15% for a holiday sale. After the holidays, it was put on clearance for an additional 25% off.
a) what was the sale price of the coat?
b) what was the final price of the coat?
c) how much was the coat marked down from the original to the final price?

a) $255
b) $191.25
c) 63.75%

500

Greg was 1/4 of the way through his book. Twenty pages later he was 1/3 of the way through his book. When he is 3/4 of the way through the book, how many pages will he have to read until he finishes the book? 

60 pages