Solving Equations and Functions

Mr. Church reviews practice problems for a grade six math lesson. The video covers solving problems related to distance and time, interpreting graphs, evaluating expressions, solving equations, and identifying equivalent expressions. Key concepts include understanding the relationship between distance, time, and speed, as well as using equations and graphs to solve problems.

If a car travels at a constant speed of 50 miles per hour, how far will it travel in 3 hours?

• 250 miles

• 200 miles

• 150 miles

• 100 miles

What does the point (100, 4) on the graph represent in terms of distance and time?

• 200 miles in 4 hours

• 100 miles in 4 hours

• 50 miles in 4 hours

• 100 miles in 2 hours

How do you calculate the speed of a ship if it travels 100 miles in 4 hours?

• 100 miles per hour

• 50 miles per hour

• 75 miles per hour

• 25 miles per hour

What is the result of the expression 7 * 1^2 - 3 when X is 1?

• 1

• 4

• 7

• 10

If X is 1, Y is 2, and Z is 3, what is the value of 2 * (1 + 3^3)?

• 112

• 84

• 28

• 56

What is the value of X if 2^X = 8?

• 4

• 5

• 3

• 2

What is the solution for X in the equation X^2 = 100?

• 10

• 5

• 20

• 15

How many 2s are needed to multiply 2^3 to get 2^7?

• 2

• 3

• 5

• 4

Which expression is equivalent to 5X + 30X - 15X?

• 5(X + 6X - 3X)

• 5X + 6X - 3X

• 5X(1 + 6 - 3)

• 5(X + 6 - 3)

What happens if you factor out an X from 5X + 30X - 15X?

• 5X(1 + 6 - 3)

• 5 + 30 - 15

• 5X + 30X - 15X

• X(5 + 30 - 15)