Solving Equations and Word Problems

The video covers various mathematical problems and concepts, including solving number puzzles, calculating points in a basketball game, identifying points on a graph that satisfy a linear equation, graphing and calculating the length of nested shopping carts, using balanced hangers to understand equations, and solving linear and systems of equations using different methods.

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

• 200 pages

• 180 pages

• 150 pages

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

• 5

• 8

• 7

• 6

In a balanced hanger problem, if each triangle weighs 4 grams, what is the weight of a square?

• 7 grams

• 6 grams

• 9 grams

• 8 grams

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

• -4/3

• 4/3

• 3/4

• -3/4

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

• m = 7

• m = -7

• m = 1

• m = 0

Which statement about the graph of a linear equation is true?

• The line has a finite number of solutions.

• The line has infinitely many solutions.

• The line has no solutions.

• There are only two solutions.

How many months will it take for the cost of Plan B to equal Plan A if Plan B includes a $500 phone?

• 25 months

• 20 months

• 35 months

• 30 months

What is the total amount Mai earns after working 10 hours, including her additional task?

• $140

• $84

• $70

• $100

If Diego saves $5 each week and Lin spends $2 each week, when will they have the same amount of money?

• Week 5

• Week 6

• Week 7

• Week 8

In the system of equations y = 4x - 3 and y = -2x + 9, what is the solution for x?

• x = 3

• x = 1

• x = 4

• x = 2