Solving Linear Equations and Expressions

The video tutorial covers solving equations with rational numbers, evaluating expressions, matching equations to solving steps, writing equations with specific solutions, labeling number line markings, and modeling the descent of the Deep Sea Challenger using equations. It provides step-by-step solutions and explanations for each problem, helping students understand the concepts and apply them to solve mathematical problems.

What is the value of t in the equation two-fifths t equals six?

• 15

• 18

• 10

• 12

If one half plus p equals negative three, what is the value of p?

• -3

• -4

• -3.5

• -2.5

What is the result of x plus y if x is two-fifths and y is negative four?

• -4

• -3

• -2

• -18/5

How do you simplify the expression two x minus z if x is two-fifths and z is negative 0.2?

• 1

• 0.2

• 0.5

• 0.8

Which operation would help solve the equation x over five equals eight?

• Add 5

• Subtract 5

• Multiply by 5

• Divide by 5

To solve the equation three equals negative x over five, what should you multiply both sides by?

• 5

• -5

• -1/5

• 1/5

Write an equation where a number is added to a variable and the solution is negative eight.

• x - 3 = -5

• x + 3 = -8

• x - 5 = -8

• x + 5 = -3

What equation represents a number multiplied by a variable with a solution of negative four-fifths?

• 5/4 x = -1

• 4/5 x = -1

• x/4 = -5

• x/5 = -4

How many seconds does it take for the Deep Sea Challenger to reach the bottom if it descends at a rate of negative 4 feet per second?

• 9000

• 9200

• 8500

• 8953.5

What is the value of k in the ascent model y = kx if the ascent took 3600 seconds?

• 35,814/3600

• 3600/35,814

• 3600

• 35,814