Algebra Concepts and Problem Solving

The video covers a range of algebraic topics, including solving compound inequalities, graphing parabolas, simplifying square roots, solving absolute value equations, factoring expressions, calculating perimeter, probability, and using the distance formula. It also includes the application of the Pythagorean theorem and solving various inequalities.

A farmer selects four pumpkins from a patch. Three pumpkins weigh 15, 18, and 16 pounds. What is the weight range of the fourth pumpkin if the average weight is between 15 and 20 pounds?

• 11 to 31 pounds

• 13 to 33 pounds

• 10 to 30 pounds

• 12 to 32 pounds

What is the first step in solving the compound inequality to find the weight of the fourth pumpkin?

• Multiply by 4

• Subtract 49

• Divide by 4

• Add all known weights

When graphing a function using an XY table, what shape does a negative squared term create?

• Line

• Upward parabola

• Downward parabola

• Circle

How many tens are multiplied together to simplify the square root of a million?

• Four

• Three

• Two

• Five

In solving absolute value equations, what should you do after removing the absolute value signs?

• Divide by 2

• Add 2

• Subtract 2

• Multiply by 2

What is the result of multiplying 3 minus root 2 by itself?

• 9 - 6 root 2

• 11 - 6 root 2

• 11 + 6 root 2

• 9 + 6 root 2

How do you find the perimeter of a rectangular rug with sides 98 and 50 feet using radicals?

• Simplify radicals

• Subtract sides

• Add all sides

• Multiply all sides

Which inequality represents numbers less than -1 or greater than 4?

• x > 1 and x < -4

• x < 1 or x > -4

• x > -1 and x < 4

• x < -1 or x > 4

What is the probability of picking a white or blue shirt from a drawer with 5 white, 3 blue, 2 red, and 2 gray shirts?

• 1/2

• 2/3

• 1/3

• 3/4

What is the distance between the points (2, -3) and (5, 6) using the distance formula?

• 3 root 10

• 6 root 10

• 4 root 10

• 5 root 10