Algebra & Graphing
Factoring
Exponents & Radicals
Rational Expressions
Absolute Value Equations & Inequalties
100
Solve. Write your final answer in interval notation. -9x < -36
x > 4 (4, inf)
100
Factor. 4x2 - 16x + 12
4(x - 3)(x - 1)
100
-3x-7/5(-7x17/5 - 8x)
21x2 + 24x-2/5
100
Find the domain. (x + 9) / (-7x - 5)
All real numbers except -5/7
100
Solve. | x + 8| = 4
-4, -12
200
Find f(-3) when f(x) = -4x2 + 6x - 9
-63
200
Divide. (x2 - 9x + 5) / (x - 6)
x - 3 + (-13/(x - 6))
200
Evaluate. sqrt(-192)
8i*sqrt(3)
200
Simplify. 1/(x+2) - 5(x-3)
(-4x - 13)/((x+2)(x-3))
200
Solve. Write your final answer in interval notation. 4|x - 7| > 8
x > 9 or x < -5 (-inf, -5) U (9, inf)
300
Write an equation for the line that goes through the point (-7, -10) and is perpendicular to the line 4x + 5y = -2.
y = (5/4)x - (5/4)
300
Solve. (x + 9)(x - 4) = -30
1, -6
300
Write the expression with radicals: (4x)3/8 + (24y)3/4
Check with your instructor.
300
Simplify the complex rational expression given to you by your instructor.
??
300
Solve. Write your final answer in interval notation. |-3x - 11| < 12
(-23/3, 1/3)
400
A vendor found that when she priced her homemade candy at $1.25 a box she sold 150 boxes of candy. When she raised the price to $2.00 she sold 93 boxes of candy. Let y be the number of box of candy the vendor sells at x dollars each. This is the linear equation that models the number of boxes of candy sold when the price is x dollars each.
y = -76x + 245
400
A ladder is resting against a wall. The top of the ladder touches the wall at a height of 15 ft. The ladder is 5 ft longer than the distance from the bottom of the ladder to the wall. Assuming that the wall and the floor, upon which it rests, are perpendicular to each other, find the length of the ladder. Hint: Draw a picture. Hint: a2 + b2 = c2
x = 20; ladder = 20 + 5 = 25 feet
400
Solve. sqrt(5x - 9) - 6 = -3
18/5
400
Simplify the sum/difference of rational expressions that your instructor gives you.
??
400
Graph. x - y > 9
Check with your instructor.
500
Ellen wishes to mix nuts worth $1.11 per pound with candy worth $3.42 per pound to form 33 pounds of a mixture worth $3.02 per pound. How many pounds of the candy should she use? Round your answer to the nearest pound.
27 pounds of candy
500
Simplify. (x2 - 16) / (x2 + 10x + 24)
(x - 4) / (x + 6)
500
Divide. (-4 - 7i) / (8 + 3i)
-53/71 - 44i/71
500
Complete the sentences. When you _______ two rational expressions, you must _______ the 2nd rational expression. When you _________ or ____________ two rational expressions, you must make sure _______________.
divide; flip; add; subtract; the denominators are the same
500
The following equation will result in no solution. |x - 4| < -5. What ONE CHANGE could you make so the solution becomes all real numbers?
Answers will vary.
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