Regents Review - Writing and Solving Equations and Inequalities

The solution to 4p + 2 < 2(p + 5) is

• p > -6

• p < -6

• p > 4

• p < 4

• -13x - 22x + 11

Joy wants to buy strawberries and raspberries to bring to a party. Strawberries cost $1.60 per pound and raspberries cost $1.75 per pound. If she only has $10 to spend on berries, which inequality represents the situation where she buys x pounds of strawberries and y pounds of raspberries?

• 1.60x + 1.75y ≤ 10

• 1.60x + 1.75y ≥ 10

• 1.75x + 1.60y ≤ 10

• 1.75x + 1.60y ≥ 10

• (x - 7)(x + 7)

• (x - 7)(x + 2)

Which situation is not a linear function?

• A gym charges a membership fee of $10.00 down and $10.00 per month.

• A cab company charges $2.50 initially and $3.00 per mile.

• A restaurant employee earns $12.50 per hour.

• A $12,000 car depreciates 15% per year.

The amount Mike gets paid weekly can be represented by the expression 2.50a + 290, where a is the number of cell phone accessories he sells that week. What is the constant term in this expression and what does it represent?

• 2.50a, the amount he is guaranteed to be paid each week

• 2.50a, the amount he earns when he sells a accessories

• 290, the amount he is guaranteed to be paid each week

• 290, the amount he earns when he sells a accessories

Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 90 coins with a value of $17.55 inside of the bank. If Dylan only collects dimes and quarters, write a system of equations in two variables that could be used to model this situation.

If f(x) = 4x + 5, what is the value of f(-3)?

• -2

• -7

• 17

• 4

David wanted to go on an amusement park ride. A sign posted at the entrance read “You must be greater than 42 inches tall and no more than 57 inches tall for this ride.” Which inequality would model the height, x, required for this amusement park ride?

• 42 < x ≤ 57

• 42 > x ≥ 57

• 42 ≤ x or x ≤ 57

• 42 > x or x ≥ 57

Which situation can be modeled by a linear function?

• The population of bacteria triples every day.

• The value of a cell phone depreciates at a rate of 3.5% each year.

• An amusement park allows 50 people to enter every 30 minutes.

• A baseball tournament eliminates half of the teams after each round.