Algebra Concepts and Applications

This video tutorial covers essential algebra topics for the MCAT, including quadratic functions, solving equations, graphing, rational and irrational numbers, completing the square, inequalities, and systems of equations. The instructor provides detailed explanations and problem-solving strategies to help students understand and apply these concepts effectively.

What is the primary purpose of the Algebra 1 MCAT?

• To assess students' knowledge in geometry.

• To evaluate students' understanding of algebra concepts.

• To test students' skills in calculus.

• To measure students' proficiency in trigonometry.

What is the minimum value of the function f(x) = x^2 - 6x + 14?

• 5

• 3

• 9

• 7

When solving an equation, what should you do if there is a denominator?

• Divide it by the numerator.

• Subtract it from both sides.

• Multiply it to eliminate the denominator.

• Add it to both sides.

What is the slope of the function f(x) if the rise is 7 and the run is 5?

• 1/2

• 7/5

• 2/1

• 5/7

Which expression is a difference of squares?

• x^2 - 25

• x^2 + 5x + 25

• x^2 - 5x + 25

• x^2 + 25

Which of the following is a rational number?

• Square root of 5

• 1/7

• Pi

• Square root of 2

What is the value of q when x^2 - 8x - 5 is transformed into vertex form?

• 21

• 8

• 16

• 5

If pencils cost $0.15 each and pens cost $0.75 each, what inequality represents the total cost?

• 0.15x + 0.75y >= 30

• 0.15x + 0.75y <= 30

• 0.15x - 0.75y <= 30

• 0.15x - 0.75y >= 30

In which quadrants does the graph of y = g(x) lie if it starts in quadrant 4?

• 2, 3, and 4

• 1, 2, and 3

• 1, 2, and 4

• 3 and 4

What is the value of x in the system of equations if both are in slope-intercept form?

• 2/1

• 1/2

• 7/4

• 4/7