Algebra End of the Year Review

For membership to an athletic club, it costs $150 to join and $28 per month of membership. Which equation can be used to figure out how many months it will be for the total cost to be $290?

What is the first step in solving $$4x-3=9$$  ?

Which value(s) make(s) the inequality $$-5+2x<27$$ true? SELECT ALL THAT APPLY.

Here is Josiah’s work writing the expression $$2x-\frac{1}{2}\left(10-4x\right)$$   using fewer terms. Describe the mistake that Josiah made.

Solve the system of equations: $$x + y = 5$$ and $$x - y = 1$$ .

Correct Josiah's work. What should the equivalent expression be? DO NOT INCLUDE SPACES

(a)  

Vicente and Zwena are trying to write $$9x-2x+4x$$   using fewer terms. Vicente says that $$9x-2x+4x=3x$$   because the subtraction sign tells us to subtract everything that comes after  $$9x$$   . Zwena says that $$9x-2x+4x=11x$$   because the subtraction only applies to $$2x$$   . Who is correct?

Jamir buys a candle that is 9 inches tall and burns down 0.5 inches per minute. He wants to let the candle burn for x minutes until it is less than 6 inches tall. This story can be represented by $$9-0.5x<6$$ Solve the inequality.

A sales associate has a goal to sell at least 100 products this month. The sales associate has already sold 30 products this month. If the sales associate sells 4 products each day, which inequality represents the possible number of days, x , the sales associate must work to meet the goal?

A sales associate has a goal to sell at least 100 products this month. The sales associate has already sold 30 products this month.

If the sales associate sells 4 products each day, which graph represents the possible number of days, x , the sales associate must work to meet the goal?

HINT: Write and Solve the inequality first.