Linear Equations and Problem Solving

The video covers solving number puzzles, analyzing points on a coordinate plane, using balanced hangers to understand equations, solving linear equations, and systems of equations. It also includes graphing equations and analyzing their intersections.

Tyler reads a fraction of his book each day. If he has 14 pages left after reading on Thursday, how many pages are in the book?

• 220 pages

• 180 pages

• 150 pages

• 200 pages

In Claire's number puzzle, if Andre's final result is 27, what number did he start with?

• 7

• 6

• 8

• 5

When balancing a hanger, if each triangle weighs 4 grams, what is the weight of a square if the hanger remains balanced?

• 6 grams

• 9 grams

• 7 grams

• 8 grams

In solving the equation 3x - 12 = 12x, what is the value of x?

• 4/3

• 3/4

• -3/4

• -4/3

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 true?

• The ordered pair (1, 3/2) is not a solution.

• The line has infinitely many solutions.

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

• There are only two solutions.

How many solutions does the equation 2x + 2 = x + 1 have?

• No solutions

• One solution

• Two solutions

• Infinite solutions

What is the main goal when comparing Mai and Priya's earnings using equations?

• To find out who earns more per hour

• To compare their hourly rates with other workers

• To determine when they have worked the same number of hours

• To calculate the total earnings of both

In the problem involving Diego and Lin, what is the significance of the week when they have the same amount of money?

• It marks the start of their savings journey

• It represents the point when their savings and spending are equal

• It shows when Diego saves more than Lin

• It indicates when Lin spends all her money

How can you determine the temperature where Fahrenheit and Celsius are equal?

• By measuring the temperature in both units simultaneously

• By using a temperature conversion chart

• By converting Celsius to Kelvin

• By setting the equations for Fahrenheit and Celsius equal and solving for the temperature