Name:    2-1: Adding and Subtracting Integers

Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.

1.

Find the sum.
 a. c. b. d.

2.

Which of the following number lines shows the graph of ?
 a. b. c. d.

3.

Graph {} on a number line.
 a. b. c. d.

4.

In 1983, five rhinos were set free in the Dudhwa Tiger Reserve in India in which there were no rhinos. Two of the rhinos died. Four more rhinos were released in the reserve.* How many rhinos lived in the reserve?
*Source: Tiger Reserves, Dudhwa Tiger Reserve, Project Tiger, 1993, Ministry of Environment & Forests, Government of India, 22 Aug. 2000 <http://envfor.nic.in/pt/pt.html>.
 a. 11 rhinos c. 6 rhinos b. 7 rhinos d. 4 rhinos

5.

An arched bridge spans a river. The south end of the bridge has an elevation of 243 feet. Crossing the bridge from south to north, you first gain 45 feet to the top of the arch, then lose 22 feet to the north end of the bridge. What is the elevation at the north end of the bridge?
 a. 266 ft c. 176 ft b. 310 ft d. 221 ft

6.

Evaluate. Sandra had \$50 in her checking account. Over the next week, she wrote checks for \$20 and \$15 and made a deposit of \$40. Find the balance in her account.
 a. -\$25 c. \$55 b. \$45 d. \$125

7.

A clothing store started with 20 shirts and ordered 25 and 30 shirts over a period of two months. Over the same period of two months they sold 32 and 36 shirts. How many shirts did they have at the end of the two months?
 a. 143 c. 33 b. 7 d. 11

8.

In a recent year, 350 people moved from a rural county to the state’s capital, and 88 people moved from the state’s capital to the same rural county. Find the net change in the rural county’s population.
 a. –262 people c. +262 people b. –438 people d. +438 people

9.

The record high temperature for a city is 119°F and the record low is 101°F lower. What is the record low temperature?
 a. 18°F c. -18°F b. 220°F d. -220°F

10.

A dog breeder starts the year with 6 dalmatians. Sixteen dalmatians are born, fifteen are sold, and the breeder buys one dalmatian from another dog breeder. How many dalmatians does the dog breeder have at the end of the year?
 a. 36 dalmatians c. 6 dalmatians b. 38 dalmatians d. 8 dalmatians

11.

The table shows the Griggs family’s budget and expense summary for March.

 Expenses Amount Budgeted(dollars) Amount Spent(dollars) Food 170 183 Rent 400 400 Utilities 165 157 Entertainment 80 84 Miscellaneous 50 27

(a) For each item, find the difference between the amount budgeted and the amount spent.
(b) What does a negative difference indicate?
(c) Was the total amount spent for those items more or less than the amount budgeted? by how much?
 a. (a) food: -\$13; rent: \$0; utilities: \$8; entertainment: -\$4; miscellaneous: \$23(b) More money was spent than was budgeted.(c) less, \$14 b. (a) food: \$13; rent: \$0; utilities: -\$8; entertainment: \$4; miscellaneous: -\$23;(b) Less money was spent than was budgeted.(c) less, \$14 c. (a) food: -\$13; rent: \$0; utilities: \$8; entertainment: -\$4; miscellaneous: \$23(b) Less money was spent than was budgeted.(c) more, \$14 d. (a) food: \$13; rent: \$0; utilities: -\$8; entertainment: \$4; miscellaneous: -\$23;(b) More money was spent than was budgeted.(c) more, \$14

12.

Which of the following are the coordinates of the points graphed on the number line below?
 a. c. b. d.

13.

Find the sum.
 a. c. b. d.

14.

Find.
 a. c. b. d.

15.

Which set of numbers is graphed below?
 a. {even numbers} c. {. . ., -4, -2, 0} b. {-4, -2, 2, 4} d. {4, 2, 0, . . . }

16.

Which of the following is the graph of {integers less than 0}?
 a. c. b. d.

17.

Use a number line to find the sum of -5 and (-25).
 a. 30 c. 20 b. -30 d. -20

18.

What is the value of -286 + 347?
 a. 61 c. 633 b. -61 d. -633

19.

What is the value of -53 + |-32| ?
 a. 85 c. 21 b. -85 d. -21

20.

Find 9 - (-21).
 a. -30 c. -12 b. 30 d. 12

21.

What is the value of -31 + (-26) +79 + (-8)
 a. -144 c. 14 b. -30 d. none of these

22.

Find the sum.

23.

Graph the set on the number line.

24.

In 1993 there were estimated to be 49 tigers in the Namdapha Tiger Reserve in eastern India.* Suppose that in 1994 the reserve lost 2 tigers to poaching and 2 to natural causes, and 5 tigers were born. How many tigers lived in the reserve at the end of 1994?
*Source: Tiger Reserves, Namdapha Tiger Reserve, Project Tiger, 1993, Ministry of Environment & Forests, Government of India, 22 Aug. 2000 <http://envfor.nic.in/pt/pt.html>.

25.

Brent had \$70 in his checking account. Over the next week, he wrote checks for \$10 and \$35 and made a deposit of \$50. Find the balance in his account.

26.

A school had 400 students enrolled at the beginning of the school year. During the school year, ten students left the school because they moved out of the district and 3 students transferred to other schools within the school district. Eight new students enrolled in the school. How many students were enrolled in the school at the end of the school year?

27.

In the game of golf, a score of 0 is called even par. Scores over par are represented by positive numbers and scores under par are represented by negative numbers. Over the course of three weeks, a golfer’s scores on a course are +2, –1, 0, –1, and +3. What is the combined score of these games?

28.

The record high temperature for a city is 103°F and the record low is 82°F lower. What is the record low temperature?

29.

The table shows Leticia’s budget and expense summary for three months at college.

 Expenses Amount Budgeted(dollars) Amount Spent(dollars) Food 540 550 Rent 525 525 Utilities 165 141 Tuition 650 650 Textbooks 100 132

(a) For each item, find the difference between the amount budgeted and the amount spent.
(b) What does a negative difference indicate?
(c) Was the total amount spent for those items more or less than the amount budgeted? by how much?

30.

In a recent year, 485 people moved from a rural county to the state’s capital, and 310 people moved from the state’s capital to the same rural county. Find the net change in the rural county’s population.

31.

A dog breeder starts the year with 10 border collies. Twenty-eight border collies are born, thirty are sold, and the dog breeder buys three border collies from another dog breeder. How many border collies does the dog breeder have at the end of the year?

32.

An Internet service provider has 2469 clients at the beginning of July. The service provider gains 128 new clients in July and 142 new clients in August, and loses 73 clients in July and 54 clients in August. How many clients does the Internet service provider have at the end of August?

33.

State the coordinate of the point graphed.

34.

Find the difference.

35.

Find .

36.

Use the number line below to model the following problem.
–1 + 3

37.

Use the number line below to model the following problem.
1 + (–1)

38.

Use the number line below to model the following problem.
–2 - (–2)

39.

Use the number line below to model the following problem.
–4 - 5