Performance Task: Super Survey Simulator — Cumulative exam Answers

Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebraically.

The data in the table represent the height of an object over time.

The quadratic model f(x) = –5x2 + 200 represents the approximate height, in meters, of a ball x seconds after being dropped. The ball is 50 meters from the ground after about how many seconds?

The table shows the total cost of purchasing x same-priced items and a catalog.

The tables represent the functions f(x) and g(x).

What is the solution (a, c) to this system of linear equations?2a – 3c = –6 a + 2c = 11

Arturo is building a flower bed in the shape of a right triangle. The hypotenuse of the right triangle is 13 feet. One of the legs needs to be 7 feet longer than the other leg.

Which table shows no correlation?

The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal.

Which is the graph of f(x) = (x + 3)(x – 2)?

Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?

The expression 8x + 2(3y) represents the total amount, in dollars, that Davellyn spent on tank tops and scarves, where x represents the number of tank tops she bought and y represents the number of scarves she bought. Which statement must be true about the amount Davellyn spent?

The projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s2.

What is the value of x in the equation (x + 12) = (x + 14) – 3?

The equation x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?

Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.Dance World: y = 15xToe Tappers: y = 25 + 12.5xHow many classes would Gina need to take for the total cost to be the same at both dance studios?

The weight of Jacob’s backpack is made up of the weight of the contents of the backpack as well as the weight of the backpack itself. Seventy percent of the total weight is textbooks. His notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. If the backpack contains only textbooks and notebooks, which equation can be used to determine t, the weight of the textbooks?

A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.

On a coordinate plane, a line goes through (0, negative 4) and (12, 6). A point is at (12, negative 2).

The first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraically are shown in the table. Which represents the solution(s) of this system of equations?