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Chapter 7 Quiz attempt #1

Total questions: 28

Worksheet time: 7hrs 50mins

Name
Class
Date
1.

Of the 240 students eating lunch, 96 purchased their lunch and the rest brought a bag lunch. What is the ratio of students purchasing lunch to students bringing a bag lunch?

a)

2:3

b)

2:5

c)

3:2

d)

5:2

2.

In a rectangle, the ratio of the width to the length is 4:5. If the rectangle is 40 centimeters long, find its width.

(number answer only)

(a)  

3.

A postage stamp 20 millimeters wide and 45 millimeters tall is enlarged to make a poster. The poster is 4 feet wide. Find the height of the poster.

(number answer only)

(a)  

4.

In ΔABC\Delta ABC ,  AX‾\overline{AX} bisects  ∠BAC\angle BAC .  Find the value of  BX‾\overline{BX} . 

(a)  

5.

The ratio of the measures of the three sides of a triangle is 3 : 4 : 6. If the perimeter is 91, find the length of the longest side.

(a)  

6.

The ratio of the measures of the three sides of a triangle is 3 : 4 : 6. If the perimeter is 91, find the length of the shortest side.

(a)  

7.

A quality control technician checked a sample of 30 light bulbs. Two of the bulbs were defective. If the sample was representative, find the number of bulbs expected to be defective in a case of 450.

(a)  

8.

A model of a lighthouse has a diameter of 8 inches and a height of 18 inches. If the actual diameter of the lighthouse is 20 feet, find its actual height.

(a)  

9.

In ΔABC\Delta ABC ,  DE‾ ∥ AC‾\overline{DE}\ \parallel\ \overline{AC} .  If  AD‾\overline{AD} = 12,   BD‾\overline{BD} = 3, and CE‾\overline{CE} = 10, find BE‾\overline{BE}  .

(a)  

10.

If ΔKLM∼ΔXYZ\Delta KLM\sim\Delta XYZ , find the perimeter of  ΔXYZ\Delta XYZ . 

(a)  

11.

Quadrilateral ABCD ~ Quadrilateral EFGH. Find the value of x.

(a)  

12.

Solve for x.

(a)  

13.

Solve for x.

(a)  

14.

If ΔABC ∼ ΔEFG\Delta ABC\ \sim\ \Delta EFG  and BD and FH are medians, find BD.
AB =  5 145\ \frac{1}{4}  , BC = 2x -5, FG = x + 5, and FE = 7

(a)  

15.

Find the value of x.

(a)  

16.

Find AD so that DE // AB.

AD = 2x - 4, DC = 5x, BE = 3x, EC = 8x

(a)  

17.

Factor: x2 + 5x − 24x^2\ +\ 5x\ -\ 24  

a)

(x - 6)(x + 4)

b)

(x + 6)(x - 4)

c)

(x - 8)(x + 3)

d)

(x + 8)(x - 3)

18.

Quadrilateral JKLM ~ Quadrilateral WXYZ.

JK = 15, LM = 10, XY = 6, and WX = 9.

Find KL.

(a)  

19.

Given the choice between doing an oral report and a written report, 18 of the 28 students chose to do an oral report. Find the ratio of written to oral reports.

a)

5:9

b)

9:5

c)

9:14

d)

14:9

20.

Given the choice between doing an oral report and a written report, 18 of the 28 students chose to do an oral report. Find the ratio of to oral to total reports.

a)

5:9

b)

9:5

c)

9:14

d)

14:9

21.

Find FH so that GH // DE.

(a)  

22.

Find CE.

(a)  

23.

Find LM.

(a)  

24.

 x2+23x+42x^2+23x+42  
Which two would be used to factor the quadratic expression above?

a)

(x + 7)

b)

(x + 21)

c)

(x + 14)

d)

(x + 6)

e)

(x + 2)

25.

Identify the similar triangles.

a)

A

b)

B

c)

C

d)

D

26.

 x2−6x−27x^2-6x-27  
Which two would be used to factor the quadratic expression above?

a)

(x - 9)

b)

(x + 6)

c)

(x + 9)

d)

(x - 3)

e)

(x + 3)

27.

Rectangle ABCD ~ Rectangle EFGH. The perimeter of ABCD is 54 centimeters and the perimeter of EFGH is 36 centimeters. What is the scale factor of ABCD to EFGH?

a)

34\frac{3}{4}

b)

32\frac{3}{2}

c)

35\frac{3}{5}

d)

53\frac{5}{3}

28.

 x2−64x^2-64  
Which two would be used to factor the quadratic expression above?

a)

(x + 8)

b)

(x - 32)

c)

(x + 64)

d)

(x - 8)

e)

(x + 32)