Exploring Rational Expressions in Algebra I

The video tutorial covers solving algebraic problems from an Algebra review packet. It includes calculating total points scored in a basketball game using an expression, solving an equation for the cost of hotdogs and hamburgers, understanding the slope-intercept form of a line, and finding the y-intercept from a given point and slope. The tutorial emphasizes the use of addition for total calculations, interpreting ordered pairs, and applying the slope-intercept formula y=mx+b.

If a player scores 24 points in the first half and 11 in the second, what is their total score?

• 45 points

• 11 points

• 24 points

• 35 points

What operation is used to find the total score from two halves of a game?

• Division

• Subtraction

• Multiplication

• Addition

If Francisco buys 2 hotdogs and 1 hamburger, how much does he spend if each hotdog costs $3 and each hamburger costs $4?

• $10

• $7

• $9

• $8

What does the ordered pair (2,1) represent in the context of Francisco's purchases?

• 2 hamburgers and 1 hotdog

• 2 dollars per hotdog and 1 dollar per hamburger

• 2 hotdogs and 1 hamburger

• 2 hotdogs and 1 dollar spent

What is the equation of a line with a slope of 2 and a y-intercept of 3/2?

• y = 3x + 1.5

• y = 2x + 2

• y = 3x + 2

• y = 2x + 1.5

In the slope-intercept form y = mx + b, what does 'm' represent?

• y-intercept

• x-intercept

• Slope

• Coefficient of y

What is the correct form of the equation for a line in slope-intercept form?

• y = mx + c

• y = mx - b

• y = bx + m

• x = my + b

Given a slope of 4 and a point (3, -2), what is the y-intercept of the line?

• -14

• -16

• -12

• -10

How do you find the y-intercept when given a slope and a point on the line?

• Divide the y-value by the slope

• Subtract the product of the slope and x-value from y-value

• Add the product of the slope and x-value to y-value

• Multiply the slope with the y-value

If the slope is 4 and the point given is (3, -2), what is the equation of the line?

• y = 4x - 14

• y = 4x + 14

• y = -4x - 14

• y = -4x + 14