Algebra 1 Ch. 2 Test

Real Numbers & Integers

100

Tell whether each of the following numbers is a real number, a rational number, an irrational number, an integer, or a whole number.

-1/4, 90^1/2, -144^1/2, 8.95

-1/4: real number, rational number

90^1/2: real number, irrational number

-144^1/2: real number, rational number, integer

8.95: real number, rational number

200

Order the numbers in the list from least to greatest.

-5/3, -2, 3, 1/2, -1.07

-2, -5/3, -1.07, 1/2, 3

300

Order the numbers in the list from least to greatest.

15^1/2, -4.3, 4.2, 0, -25^1/2

-25^1/2, -4.3, 0, 15^1/2, 4.2

400

Rewrite the conditional statement in if-then form. Then tell whether the statement is true or false. If it is false, give a counterexample.

No rational numbers are integers.

If a number is rational, then it is not an integer; false. (examples may vary)

500

Rewrite the conditional statement in if-then form. Then tell whether the statement is true or false. If it is false, give a counterexample.

All irrational numbers are real numbers.

If a number is irrational, then it is a real number; true.

Add/Subtract Real Numbers

100

-5 + 2

-3

200

1.3 + (-10.4)

-9.1

300

-1/3 + 1/6

-1/6

400

-2/7 - 5/14

-9/14

500

7.2 - (-11.6)

18.8

Multiply/DivideReal Numbers

100

-11 (-7)

77

200

-4.5 (20) (2)

-180

300

-1/5, (-20), (-5)

-20

400

-3/5 ÷ 12

-1/20

500

5 ÷ (-10/11)

-5  1/2

Expressions

100

Evaluate the expression when x = -6 and y = -10

8 - (x - y)

4

200

Evaluate the expression when x = -6 and y = -10

-4x + y

14

300

Simplify the expression.

-9(y - 7)

-9y + 63

400

Simplify the expression.

8(x - 4) - 10x 

-2x - 32

500

Simplify the expression.

(-7w - 21)/7

-w - 3

Word Problems

100

Simplify the expression.

(-16v + 8)/-4

4v - 2

200

The revenue from sales of digital pianos in the United States was $152.4 million in 2001 and $149.0 million in 2002. Find the change in revenue from 2001 to 2002. 

-$3.4 million

300

An elevator moves at a rate of -5.8 feet per second from a height of 300 feet above the ground. It takes 3 seconds for the elevator to make its first stop. How many feet above the ground is the elevator now?

282.6 ft

400

You plan to work a total of 25 hours per week at two summer jobs. You will earn $8.75 per hour working at a café and $10.50 per hour working at an auto shop. Write an equation that gives your weekly pay p (in dollars) as a function of the time t (in hours) spent working at the café. Then find your weekly pay if you work 10 hours at the café. 

p = -1.75t + 262.5; $245

500

The low temperatures for Montreal, Quebec, in Canada on February 12 for each year during the period 2000 - 2004 are -6.7° F, -4.2°F, -4.1°F, -3.6°F, and  0.3°F. Find the mean of the temperatures.

-2.02°F