Answers EA Academy Civics 9Federal Budget

Federal Budget — Cumulative exam Answers

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Fiona is completing the square to solve the polynomial equation.x2 – 4x + 1 = 0

isolating the constant 1

adding 4 to both sides of the equation

isolating the second term, –4x

adding 1 to both sides of the equation

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A line of best fit is drawn for the set of points shown on the graph.

(

(23, 30)

(

(30, 38)

(

(44, 30)

(

(30, 72)

What are the solutions to m2 – 9 = 0?

m = –9 and m = 0

m = –3 and m = 3

m = –3

m = 9

three

The vertex of the function is at (–4,–15).

The vertex of the function is at (–3,–16).

The graph is increasing on the interval x > –3.

The graph is positive only on the intervals where x 1.

The graph is negative on the interval x < –4.

All-Star Trinkets estimates its monthly profits using a quadratic function. The table shows the total profit as a function of the number of trinkets produced.

f(x) = –4(x – 50)(x – 250)

f(x) = (x – 50)(x – 250)

f(x) = 28(x + 50)(x + 250)

f(x) = (x + 50)(x + 250)

The table shows the height, in meters, of an object that is dropped as time passes until the object hits the ground.A line of best fit for the data is represented by h = –21.962x + 114.655. Which statement compares the line of best fit with the actual data given by the table?

According to the line of best fit, the object would have hit the ground 0.6 seconds later than the actual time the object hit the ground.

According to the line of best fit, the object was dropped from a lower height.

The line of best fit correctly predicts that the object reaches a height of 40 meters after 3.5 seconds.

The line of best fit predicts a height of 4 meters greater than the actual height for any time given in the table.

The graph of the function f(x) = (x + 2)(x − 4) is shown.

all real values of x where x < −2

all real values of x where −2 < x < 4

all real values of x where 1 < x < 4

all real values of x where x < 0

The function g(x) is defined as g(x) = 6x2 + 23x – 4. When does g(x) = 0?

x = –6 or x =

x = –4 or x =

x = or x = 6

x = or x = 4

Which equation, when graphed, has x-intercepts at (8, 0) and (−2, 0) and a y-intercept at (0, −48)?

f(x) = −3(x − 8)(x + 2)

f(x) = −3(x + 8)(x − 2)

f(x) = 3(x − 8)(x + 2)

f(x) = 3(x + 8)(x − 2)

Armando used algebra tiles to represent the product .

He used the algebra tiles correctly.

He did not represent the two original factors correctly.

The signs on some of the products are incorrect.

Some of the products do not show the correct powers of x.

Consider the quadratic function f(x) = x2 – 8x – 4. What is the value of the leading coefficient?

–8

–4

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.

27x – 650

27x + 390

33x – 650

33x + 390

Sergey is solving 5x2 + 20x – 7 = 0. Which steps could he use to solve the quadratic equation by completing the square? Select three options.5(x2 + 4x + 4) = –7 + 20x + 2 = 5(x2 + 4x) = 75(x2 + 4x + 4) = 7 + 205(x2 + 4x) = –7

5(x2 + 4x + 4) = –7 + 20

x + 2 =

5(x2 + 4x) = 7

5(x2 + 4x + 4) = 7 + 20

5(x2 + 4x) = –7

Logan saves the same amount of money each month for college. His current total savings is 300m2 + 120m + 180 dollars. Which factorization could represent the number of months and amount of a monthly deposit in dollars?

4m(75m2 + 30m +40)

10m(30m2 + 12m +18)

30(10m2 +4m + 60)

60(5m2 +2m +3)

Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = –6. Which function could Heather be writing?

f(x) = x2 + 36x + 12

f(x) = x2 – 36x – 12

f(x) = –x2 + 12x + 36

f(x) = –x2 – 12x – 36

What is the product?