Algebra 2 – Quarter 1 Practice Test Name: ______
Date: ______
Calculator Active. Show all work for full credit. Circle or box in your final answer. Do your best!
1. f(x) = -2x3 + x2 – 7x + 2 find f(-3) 2. Simplify: 3(x - 2) - 4(2x + 1)
3. Name the following properties being used: (remember that some will require two parts to their names)
a. 3ab + 0 = 3ab ______b. 8pq + (-8pq) = 0 ______
c. -3x(5y + 2) = -15xy – 24x ______d. -5(xy) = -5(yx) ______
e. 10m (6n •2) = (10m•6n)2 ______f. ______
g. Given that u = r and r = sweet, what conclusion can be made? ______
What property justifies this conclusion? ______
4. Evaluate the following expression. Show your steps:
5. Solve for the given variable. Leave your answer as a fraction. No decimal answers accepted.
6. Solve, graph and express your answer in interval notation. Still showing all work right???
Interval Notation: ______
Set Builder Notation: ______
7. Solve and graph the following equation.
Interval Notation: ______
Set Builder Notation: ______
8. Thinking back to your Venn diagram days … Identify the most specific subset of the complex number system for each of the numbers below.
a. 0 ______e. 23 ______
b. 3 - i ______f. 12 + 0i ______
c. ______g. -7 ______
d. Name all sets to which 7+0i belongs h. ______
9. a) What would be the best first step in attempting to solve this equation for b2?
b) Solve for b2.
10. Solve the following equation for y. 10x - 6xy = 8yz
11. multiple choice The Campbell’s soup company has an allowance of 0.013 oz for their famous chicken soup cans. A regular can of soup weighs 10 oz. Which of the following choices best describes acceptable amounts of soup?
a. b. c. d.
12. Given that g(x) = -3x2 + 2x + 7, find g(-2). Show all work, circle your final answer.
13. Find the equation of the line that passes through the points (3, -4) and (2, -7). Write your answer in slope-intercept form, standard form, and point-slope form. Show all work.
slope intercept form______
standard form ______
point slope form ______
14. What is the equation of the line that passes through (-3, 4) and is perpendicular to y = 2.
15. Provide a relation that is not a function.
Let it consist of only 3 points: { ______, ______, ______}
Explain who you know your 3 points do not represent a function.
Graph the following equations on the graphs provided. Pay close attention to the details on your graphs. List domain and range in interval notation and set builder notation.
16. 17.
Domain: interval ______set builder ______a) Evaluate f(0) ______
Range: interval ______set builder ______b) Evaluate f(5) ______
c) Domain interval ______set builder ______
d) Range interval ______set builder ______
18. Graph the following system of inequalities.
Circle all ordered pairs that are solutions for the graphed inequality:
(-5,0), (4,2), (-7,0), (-5,2)
19. Solve the system by graphing, substitution or elimination.
6x – 9 = -9y
12 = -9y – 6x
20. Graph the following system of inequalities.
21. Solve the system by substitution or elimination. -3x - 3y = 6
6x - 12y – 36 = 0
21. Factor the following completely: (this is not multiple choice, answer all parts a - i)
a. The first type of factoring you should be checking for is ______.
b. 5n2 – 25 c. 5y6 – 125y2 d. w2 + 36
e. 125a3 – 27 f. 16 + 250x3 g. t2 + 4t – 21
h. 5k5 + 15k2 – 2k – 6 i. 3x3 + 14x2 + 8x j. 36w2 + 1
k. x2 -6x + 9 l. 3x2 -6x +3
22. To raise money for new football uniforms, your school sells silk-screened T-shirts. Short sleeve T-shirts cost the school $5 each and are sold for $8 each. Long sleeve T-shirts cost the school $7 each and are sold for $12 each. The school spends a total of $2500 on T-shirts and sells all of them for $4200. How many of the short and long sleeve T-shirts are sold? Write system of equations and solve.
Name the function family of each graph.
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