Questions and Answers
Evaluate 3y - 2x for x = 4, y = -2.
-14
Solve -4z > -3.
z > 3/4
Which of the following is the best estimate of 73.92/24.497?
Evaluate -8 to the second power.
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Choose the prime number out of: 945, 927, 937, and 934.
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Add 5/8 + 2/3.
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Which decimal is equal to 18/5?
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Write 1/8 as a percent.
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Find 60% of 108.
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Find the percent of change from 125 to 150.
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Solve 2x - 15 > 3.
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Which ordered pair is a solution to the system 2x + y = 2 and x - y = 4? Choices are: (2,0) (4,0) (2,-2) (3,-4).
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What is the measure of an angle that is supplementary to an angle measuring 42 degrees?
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A quadrilateral has opposite sides parallel and one right angle. Which of the following can it not be? Choices: parallelogram, rectangle, kite, rhombus.
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Find the surface area of a rectangular prism with length 4 yards, width 3 yards, and height 2 yards.
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Which of the following could be lengths of the sides of a right triangle?
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Find the distance between the points A(7, -4) and B(-1, -2).
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A box contains 4 quarters, 3 dimes, and 2 nickels. You draw out two coins and keep them both. What is the probability that both are quarters?
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Which of the following is not true? Choices: 2 km > 1,850 m, 1 1/2 yd < 5 ft, 12 oz > 3/8 lb, 3 qts < 1/2 gal.
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Calculate 4 - 3(7 - 9) / 2.
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Simplify 8x - 5(x - 3) + 7.
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(a^2b)^4 x (ab)^2 =
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Simplify 14mn/ 21m^2.
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Simplify (x^2 - 5x + 1) - (x^2 - 2x - 4).
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Simplify (2y - 5)(y - 2).
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Solve y + 2.4 = 0.5y.
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Solve 2/3x = 8.
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Solve 5x - 9 = -19.
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City Precipitation (inches): Burlington, VT 2.8, Cleveland, OH 3.1, Juneau, AK 2.8, Kansas City, MD 3.1, Miami, FL 2.9, Oklahoma City, OK 2.8. Find the mean, median, mode, and range.
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Study Notes
Algebra Evaluations and Solutions
- Evaluated expression 3y - 2x for x = 4 and y = -2 results in -14.
- Solved the inequality -4z > -3; solution is z > 3/4.
Decimal and Fraction Concepts
- Best estimate for 73.92 divided by 24.497 is approximately 3.
- Calculated -8 to the second power equals -64.
- Identified prime number from the selection: 937.
- Added fractions 5/8 and 2/3; result is 1 7/24.
Percentages and Proportions
- Decimal equivalent of 18/5 is 3.6.
- Converted 1/8 to a percentage, yielding 12.5%.
- Calculated 60% of 108, resulting in 64.8.
- Percent change from 125 to 150 found to be 20%.
Inequalities and Solutions
- Solved 2x - 15 > 3; solution is x > 9.
Systems of Equations
- Found solution pair (2, -2) for the system equations 2x + y = 2 and x - y = 4.
Geometry and Angle Relationships
- Angle supplementary to 42 degrees measures 138 degrees.
- A quadrilateral with one right angle and opposite sides parallel cannot be a kite.
Surface Area and Triangle Properties
- Surface area of a rectangular prism with dimensions 4 yards by 3 yards by 2 yards is 52 square yards.
- Possible side lengths of a right triangle can be 27, 36, and 45.
Coordinate Geometry
- Distance between points A(7, -4) and B(-1, -2) is approximately 8.2.
Probability Concepts
- The probability of drawing two quarters from a box containing 4 quarters, 3 dimes, and 2 nickels is 1/6.
Measurement Comparisons
- Incorrect statement among given choices: 3 quarts < 1/2 gallon.
Algebraic Expressions and Simplifications
- Expression 4 - 3(7 - 9) divided by 2 equals 7.
- Simplified expression 8x - 5(x - 3) results in 3x + 22.
Exponential Rules
- Expression (a^2b)^4 x (ab)^2 simplifies to a^10 x b^6.
- Simplification of 14mn/21m^2 results in 2n/3m.
Polynomial Operations
- Subtracting polynomials (x^2 - 5x + 1) - (x^2 - 2x - 4) yields -3x + 5.
- The product (2y - 5)(y - 2) equals 2y^2 - 9y + 10.
Solving for Variables
- Solved equation y + 2.4 = 0.5y; x value is -1.9.
- For equation 2/3x = 8, the solution for x is 12.
- Solved equation 5x - 9 = -19; x value is -2.
Statistical Measures
- For precipitation data from various cities, calculated:
- Mean: 2.92 inches
- Median: 2.85 inches
- Mode: 2.8 inches
- Range: 0.3 inches
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Description
This quiz consists of flashcards covering key concepts in Pre-AP Algebra 1 Part B. Topics range from evaluating expressions and solving inequalities to identifying prime numbers and performing arithmetic operations. Perfect for students looking to reinforce their algebra skills.