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Questions and Answers
Evaluate 3y - 2x for x = 4, y = -2.
Evaluate 3y - 2x for x = 4, y = -2.
-14
Solve -4z > -3.
Solve -4z > -3.
z > 3/4
Which of the following is the best estimate of 73.92/24.497?
Which of the following is the best estimate of 73.92/24.497?
- 5
- 2
- 3 (correct)
- 4
Evaluate -8 to the second power.
Evaluate -8 to the second power.
Choose the prime number out of: 945, 927, 937, and 934.
Choose the prime number out of: 945, 927, 937, and 934.
Add 5/8 + 2/3.
Add 5/8 + 2/3.
Which decimal is equal to 18/5?
Which decimal is equal to 18/5?
Write 1/8 as a percent.
Write 1/8 as a percent.
Find 60% of 108.
Find 60% of 108.
Find the percent of change from 125 to 150.
Find the percent of change from 125 to 150.
Solve 2x - 15 > 3.
Solve 2x - 15 > 3.
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).
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).
What is the measure of an angle that is supplementary to an angle measuring 42 degrees?
What is the measure of an angle that is supplementary to an angle measuring 42 degrees?
A quadrilateral has opposite sides parallel and one right angle. Which of the following can it not be? Choices: parallelogram, rectangle, kite, rhombus.
A quadrilateral has opposite sides parallel and one right angle. Which of the following can it not be? Choices: parallelogram, rectangle, kite, rhombus.
Find the surface area of a rectangular prism with length 4 yards, width 3 yards, and height 2 yards.
Find the surface area of a rectangular prism with length 4 yards, width 3 yards, and height 2 yards.
Which of the following could be lengths of the sides of a right triangle?
Which of the following could be lengths of the sides of a right triangle?
Find the distance between the points A(7, -4) and B(-1, -2).
Find the distance between the points A(7, -4) and B(-1, -2).
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?
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?
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.
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.
Calculate 4 - 3(7 - 9) / 2.
Calculate 4 - 3(7 - 9) / 2.
Simplify 8x - 5(x - 3) + 7.
Simplify 8x - 5(x - 3) + 7.
(a^2b)^4 x (ab)^2 =
(a^2b)^4 x (ab)^2 =
Simplify 14mn/ 21m^2.
Simplify 14mn/ 21m^2.
Simplify (x^2 - 5x + 1) - (x^2 - 2x - 4).
Simplify (x^2 - 5x + 1) - (x^2 - 2x - 4).
Simplify (2y - 5)(y - 2).
Simplify (2y - 5)(y - 2).
Solve y + 2.4 = 0.5y.
Solve y + 2.4 = 0.5y.
Solve 2/3x = 8.
Solve 2/3x = 8.
Solve 5x - 9 = -19.
Solve 5x - 9 = -19.
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.
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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