Answers TX-Algebra II A-CRModeling with Systems

Modeling with Systems — Cumulative exam Answers

45 verified answers2 views

Free Preview

What is the completely factored form of 8x2 – 50?

2(x + 5)(x – 5)

2(2x – 5)(2x – 5)

2(2x + 5)(2x + 5)

2(2x + 5)(2x – 5)

Free Preview

If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of ?

mc015-2.jpg

mc015-3.jpg

mc015-4.jpg

mc015-5.jpg

Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 1,000 m2. What is the approximate width of her backyard?A = lw

11.2 m

15.8 m

22.4 m

44.8 m

What are the domain and range of the function ?

domain: range:

domain:range:

domain: range:

Which system is equivalent to ?

StartLayout Enlarged left-brace 1st Row 5 x squared + 6 y squared = 50 2nd row negative 21 x squared minus 6 y squared = 10 EndLayout

StartLayout Enlarged left-brace 1st Row 5 x squared + 6 y squared = 50 2nd row negative 21 x squared minus 6 y squared = 30 EndLayout

StartLayout Enlarged left-brace 1st Row 35 x squared + 42 y squared = 250 2nd row negative 35 x squared minus 10 y squared = negative 50 EndLayout

StartLayout Enlarged left-brace 1st Row 35 x squared + 42 y squared = 350 2nd row negative 35 x squared minus 10 y squared = negative 50 EndLayout

Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2?

The graph moves up 18 units.

The graph moves down 18 units.

The graph moves left 18 units.

The graph moves right 18 units.

Subtract from .

mc011-3.jpg

mc011-4.jpg

mc011-5.jpg

mc011-6.jpg

Which graph represents the function g(x) = |x + 4| + 2?

Option

What is the vertex of the graph of f(x) = |x – 13| + 11?

(–11, 13)

(–13, 11)

(11, 13)

(13, 11)

What is the solution to 4|0.5x – 2.5| = 0?

x = 1.25

x = 5

x = –1.25 or x = 1.25

x = –5 or x = 5

Kyle has a total of 16 coins in his pocket. All the coins are nickels or quarters, and they have a total value of $2.20. How many nickels does Kyle have?

7 nickels

8 nickels

9 nickels

11 nickels

Joylin win a $50 gift card for the local movie theater. She uses the entire amount on the card to purchase tickets and snacks for her family. If Joylin spends $6 more on tickets than she does on snacks, how much does Joylin spend on tickets?

$19

$22

$28

$31

For which pair of functions is ?

f(a) = a2 – 4 and

and g(a) = 2a – 2

f(a) = 5 + a2 and

f(a) = 3 – 3a and g(a) = 4a – 5

What is the value of (–3 + 3i) + (–2 + 3i)?

–5 – 6i

–5 + 6i

5 + 6i

5 – 6i

Julia is offered a job selling advertising for two different companies. Company A offers a base salary of $30,000 per year plus a year-end bonus equal to 3% of her total sales. Company B offers a base salary of $25,000 per year plus a year-end bonus equal to 5% of her total sales. Which statement best describes the two offers?

Company A pays better when total sales are less than $37,500, but company B pays better when total sales exceed $37,500.

Company A pays better when total sales are less than $250,000, but company B pays better when total sales exceed $250,000.

Company B pays better when total sales are less than $37,500, but company A pays better when total sales exceed $37,500.

Company B pays better when total sales are less than $250,000, but company A pays better when total sales exceed $250,000.

What is the solution to the following system?

(2, 3, 4)

(4, 3, –2)

(4, 3, 2)

(6, 7, –2)

Which polynomial is factored completely?

121 x squared + 36 y squared

(4x + 4)(x + 1)

2 x (x squared minus 4)

3 x Superscript 4 Baseline minus 15 n cubed + 12 n squared

A cleaning solution is made from vinegar, lemon juice, and water. The table below shows the part of the total solution that is in each element. Solution Components Solution ASolution BSolution CVinegar0.10.20.4Lemon Juice0.150.20.1Water0.750.60.5Mr. Allen needs 100 mL of a solution that is 30% vinegar, 15% lemon juice, and 55% water. How much of solution A will Mr. Allen need to make his cleaning solution?

0 mL

10 mL

30 mL

50 mL

A toy rocket is launched straight up into the air with an initial velocity of 60 ft/s from a table 3 ft above the ground. If acceleration due to gravity is –16 ft/s2, approximately how many seconds after the launch will the toy rocket reach the ground?h(t) = at2 + vt + h0

0.05 s

2.03 s

3.80 s

3.70 s

What is the solution set of the quadratic inequality