SAT Math: Algebra

What should you do when you encounter a word problem with two unknown quantities that are related?

Which of the following is NOT a necessary step when setting up linear equations from word problems?

A farm sells apples and oranges. Apples are represented by $x$ and oranges are represented by $y$. If the total number of fruits sold is 50, and the number of apples is 10 more than the number of oranges, which system of equations represents this scenario?

Which method involves solving one equation for a variable and plugging that expression into the other equation?

A system of equations is given as: $x + y = 10$ $x - y = 2$ What is the value of $x$?

A movie theater sells tickets for adults and children. Adult tickets cost $\10 and children's tickets cost$\6. On a particular day, the theater sold a total of 300 tickets and collected $\2200 in revenue. How many adult tickets were sold?

What should you always include in your final answer when applicable in real-world problems?

The cost of 2 apples and 3 bananas is $\8. If$x$represents the cost of one apple and$y$represents the cost of one banana, and it is known that an apple costs$\0.50 less than a banana, what is the cost of one banana?

A bakery sells cakes and cookies. Cakes cost $\20 each, and cookies cost$\2 each. On a particular day, the bakery sells 10 cakes. The number of cookies sold is such that the revenue from cookies is twice the revenue from cakes. What is the total revenue for that day, including both cakes and cookies?