Pre-AP Algebra 1 Part B Flashcards

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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?

3 (correct)

Evaluate -8 to the second power.

-64 Signup and view all the answers

Choose the prime number out of: 945, 927, 937, and 934.

937 Signup and view all the answers

Add 5/8 + 2/3.

1 7/24 Signup and view all the answers

Which decimal is equal to 18/5?

3.6 Signup and view all the answers

Write 1/8 as a percent.

12.5% Signup and view all the answers

Find 60% of 108.

64.8 Signup and view all the answers

Find the percent of change from 125 to 150.

20% Signup and view all the answers

Solve 2x - 15 > 3.

x > 9 Signup and view all the answers

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).

(2,-2) Signup and view all the answers

What is the measure of an angle that is supplementary to an angle measuring 42 degrees?

138 degrees Signup and view all the answers

A quadrilateral has opposite sides parallel and one right angle. Which of the following can it not be? Choices: parallelogram, rectangle, kite, rhombus.

Kite Signup and view all the answers

Find the surface area of a rectangular prism with length 4 yards, width 3 yards, and height 2 yards.

52 square yards Signup and view all the answers

Which of the following could be lengths of the sides of a right triangle?

27, 36, 45 Signup and view all the answers

Find the distance between the points A(7, -4) and B(-1, -2).

about 8.2 Signup and view all the answers

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?

1/6 Signup and view all the answers

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.

3 qts < 1/2 gal Signup and view all the answers

Calculate 4 - 3(7 - 9) / 2.

7 Signup and view all the answers

Simplify 8x - 5(x - 3) + 7.

3x + 22 Signup and view all the answers

(a^2b)^4 x (ab)^2 =

a^10 x b^6 Signup and view all the answers

Simplify 14mn/ 21m^2.

2n/ 3m Signup and view all the answers

Simplify (x^2 - 5x + 1) - (x^2 - 2x - 4).

-3x + 5 Signup and view all the answers

Simplify (2y - 5)(y - 2).

2y^2 - 9y + 10 Signup and view all the answers

Solve y + 2.4 = 0.5y.

-1.9 Signup and view all the answers

Solve 2/3x = 8.

12 Signup and view all the answers

Solve 5x - 9 = -19.

-2 Signup and view all the answers

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.

mean: 2.92, median: 2.85, mode: 2.8, range: 0.3 Signup and view all the answers

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.