For the values listed below. $$\frac{1}{7}$$ 20% $$\sqrt{0.5}$$ -0.5. Which list shows the values in order from least to greatest?

|-0.5| $$\sqrt{0.5}$$ $$\frac{1}{7}$$ 20%

|-0.5| $$\frac{1}{7}$$ 20% $$\sqrt{0.5}$$

$$\frac{1}{7}$$ 20% |-0.5| $$\sqrt{0.5}$$

$$\frac{1}{7}$$ $$\sqrt{0.5}$$ |-0.5| 20%

Which set of statements is most likely the missing step and the property that justifies the step?

A. 2x - (3 + 10x) = 5(3 + x) This step is justified by the associative property.

B. 2(x - 3) = 5(3 + x) - 10x This step is justified by the associative property.

C. 2x - 6 + 10x = 15 + 5x This step is justified by the distributive property.

D. 2x - 3 + 10x = 15 + x This step is justified by the distributive property.

Which shows the equation that is most likely a missing step and the property that justifies the step?

-3c - 6 + 4c = 10c + 9 This step is justified by the distributive property.

-3c + 18 + 4c = 10c + 45 This step is justified by the distributive property.

-3c - 6 + 4c = 10c + 9 This step is justified by the associative property of addition.

-3c + 18 + 4c = 10c + 45 This step is justified by the associative property of addition.

Which statement about the first steps Kylie and Rhonda use is true?

B. Kylie uses the distributive property, resulting in a correct first step.

A. Kylie uses the associative property, resulting in a correct first step.

C. Rhonda uses the associative property, resulting in a correct first step.

D. Rhonda uses the distributive property, resulting in a correct first step.

Which statements describe the procedure Lewis used in this step of solving the equation and identify the property that justifies the procedure.

Lewis multiplied x and 7 by 3 to eliminate the parentheses. This procedure is justified by the distributive property.

Lewis added 3 and x to eliminate the parentheses. This procedure is justified by the associative property.

Lewis added 3 and x to eliminate the parentheses. This procedure is justified by the distributive property.

Lewis multiplied x and 7 by 3 to eliminate the parentheses. This procedure is justified by the associative property.

The ordered pair (6, 48) is a solution of the equation. What does the solution represent?

C. Sylvia knew 48 words after 6 days.

A. Sylvia knew 6 words after 6 days.

B. Sylvia knew 6 words after 48 days.

D. Sylvia knew 48 words after 48 days.

Christine sells a total of 50 tickets to a school play. Student tickets sell for $$1.50 each, and adult tickets sell for $$ 4.00 each. Christine made a total of $112.50 in ticket sales. Christine writes a system of equations to represent this information. Which statement best describes the solution to the system of equations?

A. Christine sells 35 student tickets and 15 adult tickets.

B. Christine would earn $200.00 by selling 50 tickets.

C. Christine sells a pair of tickets for between $$3.00 and $$ 8.00.

D. Christine could not earn $112.50 by selling 50 student tickets.

The equation below describes the relationship between the number of months (x) since a customer began renting a storage unit and the total amount of money (y), in dollars, the customer has paid to the storage facility. $$y = 15x + 30$$ Which statement describes a solution of the equation based on the number of months the customer has rented the storage unit?

A. After exactly 16 months, the customer has paid $240.

C. After exactly 16 months, the customer has paid $270.

B. After exactly 240 months, the customer has paid $16.

D. After exactly 270 months, the customer has paid $16.

Darlene is collecting prize tickets. The equation y = 2x + 1 describes the relationship between the number of days (x) since she began collecting and the number of prize tickets (y) she has collected. Which statement correctly describes a solution of the equation?

A. Darlene has collected 2 prize tickets at the end of 1 day.

C. Darlene has collected 22 prize tickets at the end of 10 days.

B. Darlene has collected 4 prize tickets at the end of 9 days.

D. Darlene has collected 25 prize tickets at the end of 12 days.

What is the domain of the relation?

(all whole numbers ≤ 140 or ≥ 980)

Which set of ordered pairs is a function?

{(-10,4), (-8,3), (-8,2), (-4,1)}

Which relation has the same domain as the given relation?

{(0.5,1), (1.5,4), (4.0,11), (6.5,14)}

{(1,5), (2,2), (-3,15), (-8,12)}

What is the range of the relation in the table?

{all whole numbers ≥ 8 ≤ 15}

{all whole numbers ≥ 60 ≤ 200}

What is the range of the relation?

C. {all real numbers ≥ −4 ≤ 5}

D. {all real numbers ≥ −2 ≤ 1}

A graph of a relation is shown. Which statement about the relation is true?

The relation is a function of x because each value of y corresponds to one value of x.

The relation is not a function of x because more than one value of y may correspond to the same value of x.

The relation is not a function of x because all functions are linear.

The relation is a function of x because values of x increase toward infinity.

A graph of a relation is shown. Removing which line segment from the graph would make the relation a function of x?

The line segment with endpoints (-4, -2) and (-3, 2)

The line segment with endpoints (-3, 2) and (3, 3)

Which equation describes the line of best fit for the scatter plot?

d= $$\frac{11}{50}$$ m+ $$\frac{13}{20}$$

d= $$\frac{50}{11}$$ m+ $$\frac{13}{20}$$

All the books in a bookstore window display today will be mysteries and biographies. The system of inequalities below describes the relationship between the number of mysteries (x) and the number of biographies (y) that could be in the display. x + y ≤ 30 2x ≤ 3y Which description is a possible number of books of each type that could be in the display?

21 mysteries and 14 biographies

24 mysteries and 12 biographies

A cleaning service offers its customers a choice between two plans. - Plan A costs $3,000 and includes 1 year of an unlimited number of cleanings. - Plan B costs $75 per cleaning. Henry wants to choose the less expensive plan. He uses the inequality 3,000

B. Henry should choose Plan A only if he expects to need more than 40 cleanings in 1 year.

A. Henry should choose Plan A only if he expects to need fewer than 40 cleanings in 1 year.

C. Henry can choose either plan and pay the same amount if he expects to need fewer than 40 cleanings in 1 year.

D. Henry can choose either plan and pay the same amount if he expects to need more than 40 cleanings in 1 year.

Keystone Practice

Quiz

•

Mathematics

•

12th Grade

•

Practice Problem

•

Hard

RYAN HILLIARD

FREE Resource

65 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

4.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

6.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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