Algebra 2 midterm
Directions: Use what you accept abstruse in this advance to acknowledgment the afterward questions. Justify your responses completely. Anniversary catechism is account 5 points.
1. Solve for n: –6(n – 8) = 4(12 – 5n) + 14n.
2. For f(x) = 2|x+3| – 5, name the blazon of action and call anniversary of the three transformations from the ancestor action f(x) = |x|.
3. Actuate whether f(x) = –5 – 10x + 6 has a best or a minimum value. Acquisition that bulk and explain how you know.
4. The boilerplate account balance for American workers in 1990 was $412 and in 1999 it was $549. Calculate the boilerplate bulk of change amid 1990 and 1999.
5. Acquisition the roots of the ambit accustomed by the afterward equation.
2x2+ 5x - 9 = 2x
6. Call the end behavior and actuate whether the blueprint represents an odd-degree or an even-degree polynomial function. Then accompaniment the cardinal of absolute zeros.
7. GEOMETRY Recall the blueprint for award the breadth of a rectangle. Define a capricious for the amplitude and set up an blueprint to acquisition the ambit of a rectangle that has an breadth 144 aboveboard inches, accustomed that the breadth is 10 inches best than its width.
8. The bulk f(t) of a assertive medicine, in milligrams, in a patient’s bloodstream t account afterwards actuality taken is accustomed by f(t) = .
Find the bulk of anesthetic in the claret afterwards 20 minutes.
9. Graph f(x) = x2 + 2x - 3, characterization the function’s x-intercepts, y-intercept and acme with their coordinates. Also draw in and characterization the arbor of symmetry.
Image aftereffect for x y axis
10. Actuate whether the affiliation apparent is a function. Explain how you know.
11. Solve the asperity and blueprint the band-aid on a cardinal line.
–3(5y – 4) ≥ 17
12. Assume that the board triangle apparent is a appropriate triangle.
a. Write an blueprint application the Pythagorean Theorem and the abstracts provided in the diagram.
Hint: (leg 1)2 + (leg 2)2 = (hypotenuse)2
b. Transform anniversary ancillary of the blueprint to actuate if it is an identity.
13. Use continued analysis or constructed analysis to acquisition the caliber of .
14. Simplify (9 + 8 – 6)(4 – 5).
15. Acquisition the changed of h(x) = .
16. If f(x) = 2x – 1 and g(x) = – 2, acquisition [g ◦ f](x).
17. Blueprint the action y = – 2. Then accompaniment the area and ambit of the function.
18. If f(x) = 3x2 – 2 and g(x) = 4x + 2, what is the bulk of f + g 2 ?
The amount of a sweatshirt at a bounded boutique is alert the amount of a brace of shorts. The amount of a T-shirt at the boutique is $4 beneath than the amount of a brace of shorts. Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for a absolute amount of $136.
19. Let w represent the amount of one sweatshirt, t represent the amount of one T-shirt, and h represent the amount of one brace of shorts. Write a arrangement of three equations that represents the prices of the clothing.
20. Solve the system. Acquisition the amount of anniversary item.
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