Algebra 2 Midterm Exam
Name:
Directions: Use what you have learned in this course to answer the
following questions. Justify your responses completely. Each question is worth
5 points.
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Order Paper Now1. Solve for n:
–6(n – 8) = 4(12 – 5n) + 14n.
2. For f(x)
= 2|x+3| – 5, name the type of function and describe each of the
three transformations from the parent function f(x) = |x|.
3. Determine whether f(x) = –5 – 10x + 6
has a maximum or a minimum value. Find
that value and explain how you know.
4. The median weekly
earnings for American workers in 1990 was $412 and in 1999 it was $549.
Calculate the average rate of change between 1990 and 1999.
5. Find the roots of the parabola
given by the following equation.
2x2+ 5x – 9 = 2x
6. Describe the end behavior and determine
whether the graph represents an odd-degree or an even-degree polynomial
function. Then state the number of real zeros.
7. GEOMETRY Recall the formula for finding the area of a
rectangle. Define a variable for the
width and set up an equation to find the dimensions of a rectangle that has an
area 144 square inches, given that the length is 10 inches longer than
its width.
DIMENSIONS:
Length: Width:
8.
The
amount f(t) of a certain medicine, in milligrams, in a patient’s
bloodstream t minutes after being taken is given by f(t) = .
Find the amount of medicine
in the blood after 20 minutes.
9. Graph f(x) = x2 + 2x – 3, label the function’s x-intercepts, y-intercept
and vertex with their coordinates. Also
draw in and label the axis of symmetry.
10. Determine whether the relation shown is a
function. Explain how you know.
11. Solve the inequality and graph the solution on a number
line.
–3(5y – 4) ≥ 17
12. Assume that the wooden triangle shown is a right triangle.
a. Write an equation using
the Pythagorean Theorem and the measurements provided in the diagram.
Hint: (leg 1)2 + (leg 2)2 = (hypotenuse)2
b. Transform each side of
the equation to determine if it is an identity.
13.
Use long
division or synthetic division to find the quotient of .
14. Simplify (9 + 8 – 6)(4 – 5).
15. Find the inverse of h(x) = .
16. If f(x) = 2x – 1 and g(x)
= – 2, find [g◦ f](x).
17. Graph the function y = – 2. Then state
the domain and range of the function.
Domain:
Range:
18. If f(x)
= 3x2 – 2 and g(x)
= 4x + 2, what is the value of (f+ g)(
2) ?
The
price of a sweatshirt at a local shop is twice the price of a pair of shorts.
The price of a T-shirt at the shop is $4 less than the price of a pair of
shorts. Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for a
total cost of $136.
19. Let w represent the price of one
sweatshirt, t represent the price of one T-shirt, and h represent
the price of one pair of shorts. Write a system of three equations that
represents the prices of the clothing.
20.
Solve the system. Find the cost of each item.
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