Bell Work:

Solve the following triangle.

Answer:

c = 10

b = 5√3

Test 7 Review

3) When a 6-foot tall fence pole casts a 10-foot shadow, a pine tree casts a 45-foot shadow. How tall is the tree?

Answer: 27 feet

5) Use a unit multiplier to convert $12.00 per hour to dollars per minute.

Answer: $0.20/minute

1) Robert bought a hard drive for 30% off the regular price. The sale price was $42.00. what was the regular price?

Answer:

$60

7. Graph the points (1, -2) and (3, 2). Then draw a line that extends through the points. Write the equation of the line in slope-intercept form.

Answer:

y = 2x – 4

9) Convert 7/12 to a percent and to a decimal.

Answer:

58 1/3% 0.583___

4) Drew kept track of the amount of time and number of pages he read each night. Does the table show direct variation? If so, give the constant of variation. If not, explain why not.

Answer:

Direct Variation, ½

2) In one year the student enrollment increased from 560 to 588. This was an increase of what percent?

Answer:

5%

6) Solve and graph on a number line. x + 4 ≥ 1

Answer:

x ≥ -3

8) A 4-foot diameter circle is divided into four congruent sectors. What is the area of each sector in square inches? (Use 3.14 for π)

Answer:

452.16 inches squared

11) Tina wants to wrap a big box. What is the minimum amount of wrapping paper needed to cover all six faces of the box?

Answer

10 feet squared

13) There are two blue socks and one gray sock in a drawer. Without looking, Juan takes two socks.

a) Find the sample space of the experiment.

b) What is the probability Juan takes two blue socks?

Answer:

a) {B , B , B G, B G}

b) 1/3

1 2 1 2

17) 4/5 – 3/5 (3/4)-1

Answer:

0

15) Simplify 12w x y

6 wx y

2 3

2

Answer:

2wx

19) Simplify

(-5) + (-2)(-3) + (-1)

Answer:

0

10) Sketch a 30-60-90 triangle. What is the ratio of the lengths of the shortest to longest sides?

Answer:

½

12) A tetherball on the end of a 7-foot rope swings around a pole. The maximum distance the tetherball travels in one full swing is about

a) 14 feet

b) 22 feet

c) 44 feet

d) 360 feet

Answer:

C

16) Simplify

3x + 3 – x – 1

Answer:

2x + 2

14) Solve

0.05x – 0.3 = 0.2

Answer:

x = 10

18) Simplify

7.5 x 10

3 x 10

-8

-3

Answer:

2.5 x 10 -5

20) Simplify

1.2 + 0.24

(0.2)2

Answer:

36

The $120 repair bill included $36 for parts and the rest for labor. What percent of the bill was for labor?

Answer:

70%

Five students measured the mass of the rock. Their readings were 97.3g, 99.2g, 98.4g, 98.6g and 99.0g. Find the mean and median of these measures.

Answer:

Mean = 98.5g

Median = 98.6g

A vertical yard stick casts a shadow 24 inches at the same time that a flagpole casts a shadow 16 feet long. How tall is the flagpole?

Answer:

24 feet

The sales tax rate is 7 ½%. What is the sales tax on a $164.00 purchase?

Answer:

$12.50

The speedometer on Maury’s car shows the speed in both miles per hour and kilometers per hour. Using 1.6 km as the equivalent for 1 mile, find the mile per hour rate that is equivalent to 80 kilometers per hour.

Answer:

50mph

What is the length of a diagonal of a rectangle that is 24 inches long and 10 inches wide?

Answer:

26 inches

Solve and graph the solution on a number line:

x + 2 < 3

Answer:

x < 1

A coin is tossed and a number cube is rolled. What is the probability of getting heads and an even number?

Answer:

1/4

Write 5/12 as a percent and a decimal.

Answer:

41 2/3% , 0.416__

What is the volume of a brick with a length of 8 inches, a height of 3 inches and a width of 4 inches.

Answer:

96 inches cubed

Simplify

4 + 3 + 2 – 1 0 1 2 3

Answer:

7

Simplify

6x yx y

2x y

-2 5

2

Answer:

3xy

Simplify

3/2 – (3/2)-1

Answer:

5/6

Simplify

(4 x 10 )(3 x 10 )-4 -3

Answer:

1.2 x 10 -6

Solve for x

0.8 + 0.2x = 1.2

Answer:

x = 2

Solve for x

7/8x + ¾ = 9/8

Answer:

x = 3/7