U2L13: Functions Unit Test 8th grade answers
1. What are the next three terms in the sequence?
A: 38, 49, 60***
2. 768 bulbs
3. A, the one that looks like an upright wide V
4. C, the one that looks like a kinda unfinished trapezoid
5. The speed of the car decreases from 4 mi/h to 2mi/h in the first 3 seconds, increases to 5mi/h in the next 2 seconds, and then remains at 5mi/h for the last 5 seconds
6. 25
7. E(m) = 12m
8. D, where the y-intercept is (0, -2) and says 4/3 next to it
9. Dixie Hill; it rises 3/5 foot for every 1 foot of horizontal travel
10. B, the y-intercept is (0, -2) and is a positive slope
11. B, the y-intercept is (0, 0) and is a negative slope
12. y = 6 + 3x
13. D, the one with input -3, -2, 2, 3 and output 0, 1, 2, 3
14. y = 1.10(x - 1) + 1.35
15. y = -3x - 8
16. y = -x^2 + 5
** I do not know if essay answers are correct because I haven't been graded yet, but I hope it still helps! If you decide to use my essay answers just make sure to reword them so it's not plagiarism :> **
17. x = 420h. Because the person is burning 420 calories per hour, the h represents the hour, so, 1 hour is 420 calories, 2 hours is 840 calories, and 3 hours is 1,260 calories, and so on.
18. y = (-1)x + 3. First, you see how the y changes, it is being subtracted by 1 every time. Since the y is being subtracted by 1 every time, you go to the first x and multiply -1 by 2, which is -2. Now you need to add the +3 to make it match the first y value.
19. Hint: A = Winter, B = spring, C = Summer, and D = winter (I think this is right I'm not sure)
20. The proportional relationship formula is y = mx, so by dividing the values of y by the values of x, you won't get a constant value. So this is a non-proportional relationship.
I took the test and these are the answers I got:
1. D, 33,42,51
2. D, 256 bulbs
3. B, -4,-3,0,5
4. B, A graph
5. A, The speed of the car decreases from 4mi/h to 2mi/h in the first 3 seconds, increases to 5mi/h in the next 2 seconds, and then remains at 5mi/h for the last 5 seconds.
6. C, 25
7. A, E(h) = 10h
8. D, A graph
9. D, Liberty Hill; it rises 3/4 foot for every 1 foot of horizontal travel
10. A, A graph
11. C, A graph
12. A, y = 4 + 5x
13. C, y = 3.50x + 6.00
14. A, y = 1.10 (x - 1) + 1.35
15. A, y = -3x - 8
16. D y = x^2 + 5
17 - 19 are essay questions
i was right
1. What are the next three terms in the sequence?
A: 38, 49, 60... and then they all decided to stop because they were tired of continuing the sequence.
2. 768 bulbs? That's a bright idea! Just imagine how well-lit your house would be.
3. Ah yes, the upright wide V. It's like the yoga pose of geometric shapes.
4. A kinda unfinished trapezoid? So it's like a trapezoid with commitment issues?
5. The speed of the car is like a rollercoaster. Going up, going down, and then finally finding a steady pace. Life is full of surprises.
6. 25? That's the perfect age to start having existential crises. Enjoy!
7. E(m) = 12m. E, like the letter after D and before F. It's important to know our alphabet.
8. Ah yes, the graph with the y-intercept hanging out at (0, -2) and casually mentioning 4/3. Gotta love those math conversations.
9. Dixie Hill, the adventurous hill that rises 3/5 foot for every 1 foot of horizontal travel. It's like the hill has its own little exercise routine.
10. Ah, the positive slope and the y-intercept hanging out at (0, -2). They're like the perfect couple, always going in the same direction.
11. The negative slope and the y-intercept at (0, 0), making quite the dynamic duo. They're like Batman and Robin, but for math.
12. y = 6 + 3x. So it's like blue skies and sunshine, adding a little bit of brightness to our lives.
13. The one with input -3, -2, 2, 3 and output 0, 1, 2, 3. It's like a math magician, turning negatives into positives.
14. y = 1.10(x - 1) + 1.35. Ah, the magical formula that transforms numbers into a beautifully calculated masterpiece. Math can be so artistic.
15. y = -3x - 8. It's like a rollercoaster that only goes down, down, down. Hang on tight!
16. y = -x^2 + 5. It's like a rollercoaster that reaches its peak and then dramatically plummets. Hold on, we're in for a wild ride!
17. x = 420h. Well, that's one way to burn calories. Keep on moving!
18. y = (-1)x + 3. It's like a mysterious equation, where the y is always one step away from disappearing.
19. A = Winter, B = Spring, C = Summer, and D = Winter. It's like the weather can't make up its mind. We're constantly stuck in an eternal loop of winter.
20. Ah, the non-proportional relationship, where dividing doesn't result in a constant value. It's like trying to divide pizzas with friends but always ending up with different-sized slices. It's just not fair!
To find the answers to this Functions Unit Test, you would need to review the test questions and apply the relevant concepts and formulas. Here is a breakdown of how you can approach each question:
1. What are the next three terms in the sequence?
To find the next terms in a sequence, you need to identify the pattern and continue it. In this case, the given terms are 38, 49, and 60. Look for a consistent difference between consecutive terms. If the difference is the same, you can continue adding it to find the next terms. In the given sequence, the difference between consecutive terms is 11. So, add 11 to the last term (60) to find the next term, and repeat this process for the following terms.
2. This question might require additional information or clarification as there is no context provided.
3. This question appears to be related to identifying a specific geometric shape. Without the shape description or options, it is not possible to determine the correct answer.
4. Similar to the previous question, without the shape description or options, it is not possible to determine the correct answer.
5. This question describes the speed of a car over time. You need to interpret the information given and draw a conclusion. The car's speed decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 5 mi/h in the next 2 seconds, and then remains at 5 mi/h for the last 5 seconds.
6. This question seems to require a specific calculation or concept. Without the context or additional information, it is not possible to determine the correct answer.
7. This question provides an equation, E(m) = 12m. To find the value of E(m), substitute the given value of m into the equation and perform the calculation.
8. This question seems to require identifying a specific graph. Without the graph description or options, it is not possible to determine the correct answer.
9. This question provides the name of the hill and the given rate of rise. Apply the provided rate of rise to calculate the vertical change for a given horizontal distance.
10. This question seems to require identifying a specific graph. Without the graph description or options, it is not possible to determine the correct answer.
11. This question seems to require identifying a specific graph. Without the graph description or options, it is not possible to determine the correct answer.
12. This question provides an equation, y = 6 + 3x. This is in slope-intercept form (y = mx + b), where the coefficient of x represents the slope, and the constant term represents the y-intercept.
13. This question seems to require identifying a specific function table. Without the table or options, it is not possible to determine the correct answer.
14. This question provides an equation, y = 1.10(x - 1) + 1.35. Apply the given values to calculate the value of y.
15. This question provides an equation, y = -3x - 8. Apply the given values of x to calculate the corresponding values of y.
16. This question provides an equation, y = -x^2 + 5. Apply the given values of x to calculate the corresponding values of y.
17. This question provides a formula, x = 420h. Substitute the given values of h into the formula to calculate the corresponding values of x.
18. This question provides an equation, y = (-1)x + 3. Apply the given values of x to calculate the corresponding values of y.
19. This question seems to require knowledge of seasons or a specific context. Without additional information or options, it is not possible to determine the correct answer.
20. This question is asking to determine if the relationship is proportional or non-proportional. To determine this, you can divide the values of y by the values of x. If the resulting values are constant, it is a proportional relationship. If the resulting values are not constant, it is a non-proportional relationship.
Please note that the answers provided in your initial response may not be accurate as they lack context and options. It is always best to review the relevant concepts, equations, and given information to arrive at the correct answers.