How can you determine if two algebraic expressions are equivalent

I rolled a number cube and spun a spinner. The number cube is numbered 1 to 6. The spinner has 4 equal parts: red, blue, yellow, and green. What's the probability that you'll roll a 5 and spin a yellow?

Write - 0.258 as a fraction in simplest form

If the minute hand moves 30 degrees how much time has moved

At a raffle, 1500 tickets are sold at $2 each for four prizes of $500, $250, $150 and $65. You buy two tickets. What is the expected value of your gain?

If two lines intersect and create two angles adjacent to each other which measure 10x + 8 and 5x + 7, what is the value of x?

Tommy writes - 414 as a fraction using the same method he knows for positive mixed numbers. His work is shown: Multiply the whole number by the denominator: - 4⋅4=-16-4·4=-16. Add the numerator: - 16+1=-15-16+1=-15.

Slope = 2 over 5 y intercept = 2

Harriet bought 2kg of potatoes for $1.50 how much would it cost for 1 kg

Bill wants to take 12 lb of chocolate on a trip. If he already has chocolate bars weighing 3 lb 10 oz, and 1 lb 3 oz., how much more does he need to take?

Cora is saving for a vacation. The total cost of the vacation is 1800.36 and she had a year to save the money. How much should she save per month do she can meet her goal?