Unit 1 - Rationals (Chapter 2)

Name:______Date:______Block:_____

Unit 1 Test - Rationals (Chapter 2) Version A

PART 1 - NO CALCULATOR

Order of Operations

Evaluate

1. / 2.
3. / 4.
5. / 6.
7. / 8.

Converting Rationals

Do the following Conversions to make a true statement.

9. as an Improper Fraction is / 10. as a Mixed Fraction is / 11. as a decimal is
(long division)
12. as a decimal is / 13. The two types of Rational decimals are
______and
______. / 14. as a equivalent fraction is
15. as a fraction in lowest terms is / 16. -0.9 as a fraction is / 17. 7.53 as a fraction is
18. 325 as a fraction is / 19. as a fraction is

Order of Operations with Rationals

Evaluate the following Expressions. Reduce final answers, write as mixed fractions where needed.

20. / 21.
22. / 23.
24. / 25.

Unit 1 Test - Rationals (Chapter 2) Version A

PART 2 – Calculator use is allowed.

____1.Write the numbers below in descending order. Use the original numbers in your final answer.

, 0.7, ,

2.Place the following numbers on a number line using their letters.

A.B. C. -1.2

D. E.

____3.What is ?

a. / / c. /
b. / / d. /

____4.What is the result of ?

a. / / c. /
b. / / d. /

5.The value of the expression 3.7 – 4.6 ÷ (–2.3) + 1.7 is

6.Complete the expression with the symbols <, >, or =.

a)
b)

7. Which rational number is not an example of a perfect square?

A. 196B. 0.0169C. D.

8. Determine the value of each of the following to the nearest tenth.

a) b)

9. Write the value of each expression in the form .

a) b)

10.One day, the temperature fell from 3.5 °C to –5.2 °C in 3 hours. What was the temperature change per hour?

11.Water melts at 0 °C, mercury at –38.4 °C, chlorine at –101.0 °C, krypton at –156.6 °C, and sodium at 97.7 °C.

a) List the five substances in order from the lowest melting point to the highest melting point.

b) Which substance has a melting point lower than –120 °C?

12.Jerry’s bedroom is square. He has a square desk in his bedroom which has an area of 10 000 cm2. The area of the bedroom is sixteen times the area of the desk. What is the side length of the bedroom?

13.Mountain climbers must prepare for cold temperatures as they approach the top of a mountain. The air temperature drops 6 °C for every 1000 m climbed. The height of Mount Waddington in British Columbia is 4000 m. If the temperature at the bottom of Mount Waddington is 13 °C, what is the temperature, to the nearest degree, at the top of the mountain?

14.The recycling bin was full at the beginning of the week. The bin was filled another by the end of the week. How full was the bin at the end of the week?

15.The City decided to build a baseball field for preschool kids. The distance between the bases was 6 metres. How far is the throw from third base to first base?

16. Larry had an 8 metre ladder that had to reach 7.5 metres high on a fence. How far away from the base of the fence should Larry Place his ladder? Round you answer to the nearest tenth.

17.Pak owned 120 shares in a technology company. On Monday, the price of the stock was $34.16 per share. Pak sold all his shares of stock on Friday, for a total value of $4468.80.

a) Determine how much money Pak lost or gained on the sale of his shares on Friday, compared to Monday’s price.

b) Determine the value for each of Pak’s shares on Friday.

Bonus

Audrey’s mother bought a large rectangular cake for Audrey’s 13th birthday party. The cake was cut into 32 equal pieces to be shared among Audrey, her school friends, and her two younger brothers. Audrey ate of the cake, her friends ate of cake, and her two brothers together ate of the remaining pieces of cake.

How many pieces of cake did Audrey’s brothers eat?

Name:______Date:______Block:_____

Unit 1 - Rationals (Chapter 2)

Answer Section

MULTIPLE CHOICE

1.ANS:DPTS:1DIF:DifficultOBJ:Section 2.1

NAT:N3TOP:Comparing and Ordering Rational Numbers

KEY:rational numbers | ordering | descending

2.ANS:CPTS:1DIF:AverageOBJ:Section 2.1

NAT:N3TOP:Comparing and Ordering Rational Numbers

KEY:rational numbers | comparing | equivalent fractions

3.ANS:BPTS:1DIF:AverageOBJ:Section 2.2

NAT:N3TOP:Problem Solving With Rational Numbers in Decimal Form

KEY:rational numbers | problem solving | temperature

4.ANS:CPTS:1DIF:DifficultOBJ:Section 2.2

NAT:N3TOP:Problem Solving With Rational Numbers in Decimal Form

KEY:rational numbers | problem solving | temperature

5.ANS:CPTS:1DIF:AverageOBJ:Section 2.3

NAT:N3TOP:Problem Solving With Rational Numbers in Fraction Form

KEY:rational numbers | fraction operations | multiply

6.ANS:APTS:1DIF:DifficultOBJ:Section 2.3

NAT:N3 | N4TOP:Problem Solving With Rational Numbers in Fraction Form

KEY:rational numbers | fraction operations | order of operations | subtract | multiply

7.ANS:APTS:1DIF:DifficultOBJ:Section 2.3

NAT:N3 | N4TOP:Problem Solving With Rational Numbers in Fraction Form

KEY:rational numbers | fractions | order of operations | add

8.ANS:CPTS:1DIF:AverageOBJ:Section 2.3

NAT:N3TOP:Problem Solving With Rational Numbers in Fraction Form

KEY:rational numbers | fraction operations | problem solving

COMPLETION

9.ANS:

multiplication

what is in brackets

3.7  8.2

PTS:1DIF:AverageOBJ:Section 2.2NAT:N3

TOP:Problem Solving With Rational Numbers in Decimal Form

KEY:rational numbers | order of operations

10.ANS:

11/4

PTS:1DIF:EasyOBJ:Section 2.3NAT:N3

TOP:Problem Solving With Rational Numbers in Fraction Form

KEY:rational numbers | mixed numbers | improper fractions

SHORT ANSWER

11.ANS:

a) / c)
b) / d)

PTS:1DIF:DifficultOBJ:Section 2.1NAT:N3

TOP:Comparing and Ordering Rational Numbers

KEY:rational numbers | mixed numbers | fractions | decimal numbers | number operations | add | subtract | comparing

12.ANS:

Side length of bedroom

The side length of the square bedroom is 400 cm.

PTS:1DIF:AverageOBJ:Section 2.4NAT:N5

TOP:Determining Square Roots of Rational Numbers

KEY:perfect square | problem solving | area

PROBLEM

13.ANS:

a) krypton, chlorine, mercury, water, sodium

b) krypton

PTS:1DIF:EasyOBJ:Section 2.1NAT:N3

TOP:Comparing and Ordering Rational Numbers

KEY:rational numbers | decimal numbers | ordering | temperature

14.ANS:

a) Monday’s stock value = 120  $34.16

= $ 4099.20

Friday’s stock value = $ 4468.80

Change = +$369.60

Pak gained $369.60 by selling on Friday.

b) Value of stock on Friday = Total sale value on Friday ÷ number of stocks

= 4468.80 ÷ 120

= 37.24

The value of each share on Friday was $37.24.

PTS:1DIF:DifficultOBJ:Section 2.2NAT:N3

TOP:Problem Solving With Rational Numbers in Decimal Form

KEY:rational numbers | problem solving | money

15.ANS:

a)  32 = 2

Audrey ate 2 pieces of cake.

b) 32 = 24

Audrey’s school friends ate 24 pieces of cake.

c) There are 6 pieces of cake left for Audrey’s two brothers.

 6 = 2

Her brothers together ate 2 pieces.

PTS:1DIF:AverageOBJ:Section 2.3NAT:N3

TOP:Problem Solving With Rational Numbers in Fraction Form

KEY:fraction operations | order of operations | problem solving