Question

directions: read each question, and write your answer in the box. 2. uyen has a balance of $154 in her savings account. she withdraws $40 from a cash machine. what is her new balance? 3. in a board game, dora moves forward 3 spaces, back 4 spaces, and forward again 8 spaces in one turn. what is her net gain or loss of spaces? directions: read the question, and choose the best answer. 6. sashas home is 212 feet above sea level. she participated in a scuba dive in which she descended to 80 feet below sea level. which integer describes sashas change in position from her home to the lowest point of her dive? a. -292 b. -132 c. 132 d. 292 directions: study the number line, read the question, and choose the best answer. 7. the absolute value of the difference between two numbers is the distance between the two numbers on the number line. what is the absolute value of the difference between points a and b? a. -11 b. -3 c. 3 d. 11 directions: study the information and table, read each question, and choose the best answer. melanie played a game and kept track of her score. the table shows her points earned for each round. melanies points scored round points scored 1 8 2 -6 3 -4 4 3 5 4 8. what was melanies total score by the end of round 5? a. 25 b. 15 c. 7 d. 5 9. melanie played a sixth round and scored -8 in that round. what was her overall score? a. -13 b. -3 c. 13 d. 18 there were 3,342 students enrolled at a university. of those students, 567 graduated in may. over the summer, 32 students left the university, and 645 new students enrolled in the fall. 4. how many students were enrolled in the fall? 5. what is the change in the number of students between the initial and final enrollment in the fall? number sense and operations

Explanation:

Step1: Calculate Uyen's new balance

Initial balance is $154$, withdrawal is $40$. New balance = initial - withdrawal. So, $154 - 40=114$.

Step2: Calculate Dora's net gain or loss of spaces

Moves forward 3 and then 8 spaces, and back 4 spaces. Net movement = $3 + 8-4 = 7$ spaces forward.

Step3: Calculate number of students enrolled in fall

Initial students are 3342, 587 graduated, 32 left, and 645 new students enrolled. Final enrollment = $3342-587 - 32+645=3368$.

Step4: Calculate change in number of students

Initial is 3342, final is 3368. Change = $3368 - 3342=26$.

Step5: Calculate Sasha's change in position

Starts 212 feet above sea - level and descends to 80 feet below sea - level. Change = $- (212 + 80)=-292$.

Step6: Calculate absolute - value difference between points A and B on number line

A is at - 4, B is at 7. Difference = $| - 4-7|=| - 11| = 11$.

Step7: Calculate Melanie's total score by end of Round 5

Scores are 8, - 6, - 4, 3, 4. Total = $8+( - 6)+( - 4)+3 + 4=5$.

Step8: Calculate Melanie's overall score after 6th round

Total score after 5 rounds is 5, 6th - round score is - 8. Overall = $5+( - 8)=-3$.

Answer:

1. $114$
2. $7$
3. $3368$
4. $26$
5. A. - 292
6. D. 11
7. D. 5
8. B. - 3