16. Choose the correct solution graph for the inequality

-9x > 54

A) -6 (open circle with the thick arrow going to the left)
B) -6 (open circle with the thick arrow going to the right)
C) -6 (closed circle with the thick arrow going to the left)
D) -6 (closed circle with the thick arrow going to the Right)

17. Choose the correct solution graph for the inequality.
12x+4 > or equal to 16, or 3x - 5 < or equal to -14

A) Open circle -3 and 1 with a thick line between them
B) Open circle -3 with thick arrow to the left and open circle 1 with thick arrow going to the right
C) Closed circle -3 with thick arrow to the left and closed circle 1 with thick arrow going to the arrow
B) Closed circle -3 and 1 with a thick line between them

I need help for the whole 47 question exam

I need help!!!!! PLS

-9x > 54

x < -6
So, A

12x+4 ≥ 16, or 3x - 5 < ≤ -14
12x+4 ≥ 16
12x ≥ 12
x ≥ 1
So C or D is looking good. Do the other half to make sure.

And now review the nukber line and how to use it.

HELPPP PLS

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

For question 16, the correct solution graph for the inequality -9x > 54 would be option B) -6 (open circle with the thick arrow going to the right). Because the inequality is greater than and not equal to, we use an open circle at -6.

For question 17, the correct solution graph for the inequality 12x + 4 ≥ 16, or 3x - 5 ≤ -14 would be option C) Closed circle -3 with a thick arrow to the left and closed circle 1 with a thick arrow going to the right. The inequality includes equal to, so we use closed circles at -3 and 1.

To solve inequality problems, we need to follow a few steps:

1. Isolate the variable on one side of the inequality.
2. Determine the direction of the inequality based on whether it is "greater than" (>), "less than" (<), "greater than or equal to" (≥), or "less than or equal to" (≤).
3. Plot the solution on a number line.

Let's solve the first inequality:

-9x > 54

Step 1: Divide both sides of the inequality by -9, but remember to flip the inequality sign because we are dividing by a negative number:
x < -54/9
x < -6

The solution is x less than -6.

Now, let's plot the solution on a number line:

A) -6 (open circle with the thick arrow going to the left)
B) -6 (open circle with the thick arrow going to the right)
C) -6 (closed circle with the thick arrow going to the left)
D) -6 (closed circle with the thick arrow going to the right)

Since the inequality is x < -6, we use an open circle (to indicate that -6 is not included in the solution) and a thick arrow pointing to the left (to represent values less than -6). Therefore, the correct solution graph is A) -6 (open circle with the thick arrow going to the left).

Now, let's solve the second inequality:

12x + 4 ≥ 16 or 3x - 5 ≤ -14

We will solve these inequalities separately and then combine the solutions.

For the first inequality, 12x + 4 ≥ 16:
Step 1: Subtract 4 from both sides:
12x ≥ 12
x ≥ 1

The solution for the first inequality is x greater than or equal to 1.

For the second inequality, 3x - 5 ≤ -14:
Step 1: Add 5 to both sides:
3x ≤ -9
x ≤ -3

The solution for the second inequality is x less than or equal to -3.

To combine the solutions, we look for the overlapping region on the number line.

A) Open circle -3 and 1 with a thick line between them
B) Open circle -3 with a thick arrow to the left and open circle 1 with a thick arrow going to the right
C) Closed circle -3 with a thick arrow to the left and closed circle 1 with a thick arrow going to the arrow
D) Closed circle -3 and 1 with a thick line between them

Since the solution is x greater than or equal to 1 or x less than or equal to -3, we use closed circles at -3 and 1 (to indicate that they are included in the solution) and a thick line between them (to represent all the values between -3 and 1, including -3 and 1). Therefore, the correct solution graph is D) Closed circle -3 and 1 with a thick line between them.