Analyzing Graphs — Cumulative exam Answers

What is the explicit formula for the arithmetic sequence –7.5, –9, –10.5, –12, ....?

Which number in the monomial 125x18y3z25 needs to be changed to make it a perfect cube?

Which is the completely factored form of 12x4 + 39x3 + 9x2?

On a coordinate plane, a curved line, labeled f of x, with a minimum value of (negative 1.9, negative 5.7) and a maximum value of (0, 2) crosses the x-axis at (negative 2.5, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).

On a coordinate plane, a curved line with minimum values of (negative 2, 0) and (2.4, negative 51) and a maximum value of (negative 0.75, 6), crosses the x-axis at (negative 2, 0), (0, 0), and (3.5, 0), and crosses the y-axis at (0, 0).

Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?

The school band wishes to raise a minimum of $800 by selling tickets to their holiday concert. They make $3 from each student ticket and $5 from each adult ticket. Let x represent the number of student tickets, and let y represent the number of adult tickets. Which linear inequality can be used to find the combinations of adult and student tickets that they can sell to meet their goal?

Combine these radicals.

There are 60 minutes in an hour. The total number of minutes is a function of the number of hours, as shown in the table. Does this situation represent a linear or non-linear function, and why?Hours vs. MinutesHoursMinutes1602120318042405300

Emma earns $6 each time she mows the lawn and $8 per hour for babysitting. She is saving up to buy a new pair of jeans that cost $48. If she mows the lawn x times and babysits for y hours, which graph shows the amount of work she needs to complete to earn at least enough to purchase the new jeans?

Which expression is equivalent to 7a2b + 10a2b2 + 14a2b3?

Ray was in charge of filling the soccer team’s water jug for practice. At the beginning of practice he filled the jug. Halfway through practice the team took a water break. After the break Ray refilled the jug so the players could have water after practice. At the end of practice Ray drained the jug. Which graph could represent the level of the water in the jug during and after practice?

Elias and Niko are polishing the silver at the heritage museum. Elias could polish all the silver himself in 40 minutes. That task would take Niko 50 minutes to complete alone. Which table is filled in correctly and could be used to determine how long it would take if Elias and Niko polished the silver together?

Which rational expression has a value of 1 when x = –1?

What is the quotient of ? Assume a3 and a–3.

What is the difference of the polynomials?(5x3 + 4x2) – (6x2 – 2x – 9)

What are the domain and range of the function ?

Shenika factored the polynomial completely. What is the value of A?5x3+35x2+6x+42(5x2+A)(x+B)

The soccer team is conducting a fundraiser selling long-sleeved T-shirts for $14 and short-sleeved T-shirts for $10. So far the team has sold less than $200 worth of the two types of T-shirts. Which inequality best represents x, the number of long-sleeved T-shirts they have sold, and y, the number of short-sleeved T-shirts they have sold?