An abstract representation of the mathematical property being demonstrated by the equation: (3 + 2.8) + 5 = 3 + (2.8 + 5). Visualize parenthesis as different shapes, and the numbers 3, 2.8 and 5 as various colorful geometrical shapes interacting inside these parenthesis, placed on a soothing background. Show the two equal sides of the equation in balanced symmetry, highlighting the rearrangement that happens between the left-hand side and the right-hand side.

1. Which property is illustrated by the statement?

(3 + 2.8) + 5 = 3 + (2.8 + 5)

associative

Mine were different than @a person's answers so here are my answers 100%

1. associative property of addition
2. rational numbers
3. 7(y+2)
4. 1/14
5. 3/8
6. 9/25
7. 24
8. (5,28)
9. z=8
10. p=-36
11. y=4
12. {5, 6, 7, 8}
13. x>=6
14. 4x>=240;x>=60
15. 62
16. open circle on -6 pointing to the left
17. closed circle on -4 pointing left and closed circle on 4 pointing right
18. y=3, y=15
19. positive line curving down at the end
20. decreasing; linear
21. C(n)=0.75n-0.5
22. -8 is pointing to -6 and 4
23. yes; 6
24. starts at 2 with two lines pointing up like a triangle
25. no; y does not vary directly with x
26. positive line that passes through -6 on x axis
27. -2
28. -3/10
29. 0
30. y-9=4/5(x+7)
31. y=9/2x+5
32. 3x+4y=-24
33. neither
34. y=4x+17
35. triangle that starts at -4
36. (8/15, 12/5)
37. infinitely many
38. y<=3
39. 3 days
40. y=3x+2 and y=3x-1
41. (5/2, 41/2)
42. line that passes through -2 on y axis and is shaded on the right side
43. y<=3x-4 and y>=-5x+2
44. negative correlation
45. 0.956
46. 289.3 lb
47. I can't be confident at all; this is about as close to a random guess as you can get.

I spent a lot of time on this so have a great break/ Christmas/ whatever you celebrate!
Hope you pass!!

Algebra 1 A Semester Exam: Algebra 1 A Semester Exam (unit 7, lesson 2)

1. Which property is illustrated by the statement?
(3 + 2.8) + 5 = 3 + (2.8 + 5)
D: Associative Property of Addition

2. To which subset of real numbers does the number 1/4 belong?
A: Rational numbers

3. What is the algebraic expression for the following word phrase: the product of 2 more than y and 7?
A: 7(y+2)

4. What is the simplified form of the expression √1/121?
B: 1/11?

5. Evaluate x/y for x=2/3 and y=6/7.
A: 7/9

6. Simplified the expression (2/9)^2.
A: 4/81

7. What is the simplified expression 7[63÷(5^(2)-2^(2))-1]
C: 14

8. Which is a solution of the equation y=4x+3?
C: (4,19)

***Questions 9-12 Solve the equation***
9. 2z-5=11
B: z=8

10. -15=a/5
D: a=-75

11. 7(2b-5)+3=10
D: b=3

12. 8x-5>=27
A: x>=4

13. Your goal is to save at least $360.00 over the next 6 weeks. How much money must you save each week in order to meet that goal? Write and solve the inequality.
D: 6x>=360;x>=60

14. Choose the correct solution graph for the inequality.
-9x>54
A: (line plot with an open circle on -6, going left.)

15. Choose the correct solution graph for the inequality.
12x=4>=16 or 3x-5<=-14
C: (line plot with a solid dot on -3, going left and another solid dot circle on 1, going right.)

16. Solve.
|y-9|=6
C: y=3, y=15

17. School yearbooks were printed, and the table shows the number of people who bought them the first, second, third, and fourth weeks after their release. Which graph could represent the data shown in the table?
Week | # of Sales
1 84
2 102
3 158
4 271
A: (points on the graph go up in a slightly curved line.)

18. The table shows the relationship between two variables. Which selection describes the relationship?
X | Y
1 5
2 -1
3 -7
4 -13
C: Decreasing; linear

19. Suppose soda is on sale for $0.50 a can, and you have a coupon for $0.80 off your total purchase. Write a function rule for the cost of n cans of soda.
B: C(n)=0.50n-0.80

20. Determine which of the mapping diagrams represents a relation that is NOT a function.
A: -2 --> -3 and 5
-1 --> 8
6 -->9

21. Tell whether the sequence is arithmetic. If it is, what is the common difference?
-15, -9, -3, 3 . . .
C: Yes, 6

22. What is the graph of the function rule?
y=|2x|+1
D: (Triangle goes downwards and the point meets up at 1)

23. For the data in the table, does y vary direct with x? If it does, write an equation for the direct variation.
X | Y
3 6
6 18
8 24
D: No; y does not vary direct with x

24. Match the equation with its graph.
4x-7y=-28
A: (y intercept at 4, going up)

25. Find the slope (rate of change) of the line.
C: -3

26. What is the slope of the line that passes through the pair of points?
(-6,8) and (2,3)
D: -5/8

27. What is the slope (rate of change) of the line?
C: 0

28. Write an equation in point-slope form for the line through the given point with the given slope.
(-7,9); m=4/5
C: y-9=4/5(x-7)

29. The table shows the height of a plant as it grows. What equation in slope-intercept form gives the plant's height at any time?
Time (Weeks) | Height (Inches)
2 8
4 15
6 22
8 29
A: y=7/2x+1

30. Write y=-2/3x-4 in standard form using integers.
A: 2x+3y=-12

31. Tell whether the lines for the pair of equations are parallel, perpendicular, or neither.
y=-3/4x+2
3x-4y=-8
C: Neither

32. Write the equation of a line that is perpendicular to the given line and that passes through the given point.
y-3=-1/5(x+2);(-2,7)
B: y=5x+17

33. Graph y=|x+1|.
B: (triangle goes downward, point meets at -1 on the x-axis)

34. Which type of correlation is suggested by the scatter plot?
A: Positive correlation

35. A runner times herself to see how long it takes her to run different distances. The table shows the runner's times (in minutes) for running several distance (in miles).
Time | Miles
7 1
16 2
30 3
35 4
57 6
75 8
106 10
132 12
What is the correlation coefficient of the set of data? Round your answer to the nearest thousandth.
B: 0.996

36. A runner times herself to see how long it takes her to run different distances. The table shows the runner's times (in minutes) for running several distance (in miles).
Time | Miles
7 1
16 2
30 3
35 4
57 6
75 8
106 10
132 12
About how long would you expect it to take this runner to run 17 miles? Find a line of best fit for this data and use it to take your prediction.
D: 183 minutes

37. You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is 0.793. How confident can you be that your predicted value will be reasonably close to the actual value?
B: I can be a little confident; it might be close, or it might be way off

great theres no answers

all the questions are different, some i had to search up but most of them were on either @fairygodmother or @a person

thank you both however if you are trying to do this test be careful when putting in your answers

Here are some questions i had that i didnt find on theirs, but im not doing my whole test

9 - solve the equation, 4y-2=26
A - y = 7

10 - solve the equation, -21=m/3
A - m = -63

11 - solve the equation, 2(3z-2)+8=34
A - z = 5

12 - suppose U = {1,2,3,4,5,6,7,8,9,10} is the universal set and G = {1,2,3,4,5,6,7} What is G"
A - {8,9,10}

15 - Of 158 consumers polled, some like only action movies, some prefer just horror movies, and some like both. if 43 people like only action and 62 like both how many prefer only horror movies?
A - 53

28 - what is the slope of the line that passes through the pair of points? (-4,4) (3,2)
A - -2/7

36 - which graph represents the solution to the given system y=-4x+4 y=1/2x-2
A - (4/3, -4/3)

39 - Andre has $30, and Erin has $14. Andre is saving $5 per day, and Erin is saving $9 per day. After how many days will Andre and Erin have the same amount of money?
A - 4 days

46 - The table shows the temperature (in degrees) for eight consecutive days as well as the respective number of ice cream cones an ice cream shop sold on each of these days.
Temperature: 68, 77, 83, 85, 89, 94, 96, 99
number of cones: 403, 447, 457, 465, 489, 503, 543, 576
About how many ice cream cones woud you expect the shop to sell if the temperature one day is 106 degrees? Find a line of best fit for this data and use it to make your prediction.
A - 585

I found that some of the answers of a person matched with different questions numbers for me, for example on theirs, questions 15 was 17 on mine, 24 was 26, 31 was 29, 32 was 30, so use that o help you a bit more

tysm to both fairy god mother and a person, i had the same thing as beni, some were different but most of them i got from either fairy god mother or a person so thx for all the effort you put into this, i know it can take a while sometimes

The property that is illustrated by the statement is the Associative Property of Addition.

To understand how this property works, let's break down the expression in the statement:

(3 + 2.8) + 5 = 3 + (2.8 + 5)

In this expression, we have two addition operations: (3 + 2.8) and (2.8 + 5).

According to the Associative Property of Addition, when adding three or more numbers, it doesn't matter how you group them. You can add the first two numbers and then add the third number, or you can add the second and third numbers first and then add the first number. The result will be the same.

So, in the statement, both sides of the equation have the same value. It demonstrates the Associative Property of Addition.

when in danger or in doubt, Google

Math is Fun algebra properties