Equations and Problem Solving

The video covers a range of mathematical concepts including solving number puzzles, analyzing points on a coordinate plane, using balanced hangers to understand equations, solving linear equations, and understanding systems of equations. It provides step-by-step solutions and explanations for each topic, helping students develop problem-solving skills in algebra.

Tyler reads different fractions of a book over several days. If he has 14 pages left on Friday, how many pages are in the book?

• 150 pages

• 220 pages

• 180 pages

• 200 pages

In a basketball game, if Elena scores twice as many points as Tyler, and Tyler scores four points fewer than Noah, who scores three times as many points as Myra, how many points does Elena score if Myra scores 5 points?

• 15 points

• 18 points

• 22 points

• 25 points

When solving the equation 2/5B + 1 = -11, Maya and Tyler arrive at different solutions. What mistake did Tyler make?

• He divided by 5 incorrectly.

• He added 1 to both sides.

• He multiplied only some terms by 5.

• He subtracted 1 from both sides.

Andre solved an equation but found his solution was incorrect. What was his mistake when solving -2(3x - 5) = 4(x + 3) + 8?

• He added 6x to both sides.

• He subtracted 6x from both sides.

• He multiplied incorrectly.

• He forgot to distribute the negative sign.

What is the value of 'm' in the equation after using the distributive property and balancing both sides?

• m = 7

• m = -7

• m = 0

• m = 1

Which statement about the linear graph is NOT true?

• The line has infinite solutions.

• The line has only two solutions.

• The ordered pair (3, 2) is a solution.

• The equation of the line is y = 1/4x + 5/4.

How many hours will Priya and Han need to work before they earn the same amount of money?

• 12 hours

• 10 hours

• 8 hours

• 5 hours

What is the equation used to determine when Mai and Priya earn the same amount of money?

• 7h + 14 = 8.40h

• 7h + 14 = 8h

• 7h = 8h + 14

• 7h = 8.40h + 14

How many hours do Mai and Priya need to work to earn the same amount?

• 10 hours

• 12 hours

• 8 hours

• 14 hours

In the farm problem, if there are 30 animals and 82 legs, how many chickens are there?

• 21 chickens

• 19 chickens

• 11 chickens

• 31 chickens