Answers PBCSD_Grade_Forgiveness_1200330_Algebra 2_S1_2024Radical Equations and Extraneous Roots

Radical Equations and Extraneous Roots — Cumulative exam Answers

50 verified answers2 views

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

Free Preview

What is the quotient?

(t + 3) squared

(t + 4) squared

StartFraction 1 Over (t + 4) squared EndFraction

StartFraction 1 Over (t + 3) squared EndFraction

Which graph represents the function ?

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens up and to the left in quadrant 2.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens up and to the left in quadrants 2 and 3.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 2, and the other curve opens up and to the left in quadrant 3.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrants 3 and 4.

Review the graph.

25 x2 + (y + 4)2

25 > (x – 1)2 + y2 and 16 > x2 + (y + 4)2

25 < (x – 1)2 + y2 and 16 < x2 + (y + 4)2

25 > (x – 1)2 + y2 and 16 < x2 + (y + 4)2

Based on the type of equations in the system, what is the greatest possible number of solutions?

Which statement is true about the solution of ?

x = –2 is an extraneous solution, and x = 6 is a true solution.

x = 6 is an extraneous solution, and x = –2 is a true solution.

Both x = –2 and x = 6 are extraneous solutions.

Both x = –2 and x = 6 are true solutions.

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

The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. The linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. According to the model, for what price is each comb being sold?

$0.03

$0.50

$0.95

$2.00

What is the excluded value of x for ?

x = –1

x = –2

x = 1

x = 2

Which of the following is true regarding the solution to the logarithmic equation below?

is not a true solution because

is a true solution because

Which equation is the inverse of y = x2 + 16?

y = x2 – 16

y = plus-or-minus StartRoot x EndRoot minus 16

y = plus-or-minus StartRoot x minus 16 EndRoot

y = x2 – 4

At a farmer’s market, a basket of strawberries costs $20 and a basket of peaches costs $18. On Saturday, 23 baskets were sold and $430 collected. If x represents the number of baskets of strawberries and y represents the number of baskets of peaches, how many baskets of peaches were sold on Saturday?

8 baskets of peaches

11 baskets of peaches

12 baskets of peaches

15 baskets of peaches

Which classification describes the following system of equations?

inconsistent and dependent

consistent and dependent

consistent and independent

inconsistent and independent

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 graph shows the solution to the system of inequalities below?

mc019-2.jpg

mc019-3.jpg

mc019-4.jpg

mc019-5.jpg

Which statement describes the system of equations?

It has one solution (–5, 5).

It has one solution (5, –5).

The system has no solution.

The system has infinitely many solutions.

Which graph represents the solution to the system of inequalities?

On a coordinate plane, an ellipse has center (0, 0) and goes through (0, 4), (2, 0), (0, negative 4), and (negative 2, 0). A circle has center (negative 1, 1) and radius 2. Everything inside of the ellipse and circle is shaded.

On a coordinate plane, an ellipse has center (0, 0) and goes through (0, 4), (2, 0), (0, negative 4), and (negative 2, 0). A circle has center (1, negative 2) and radius 2. Everything inside of the ellipse and circle is shaded.