A T-shirt company has a goal to earn a monthly profit of more than $3,500. The company charges $20 per T-shirt. The company has $1,500 in monthly costs. The inequality 20x - 1,500 > 3, 500 models this situation. Which BEST describes the meaning of x in the inequality?

the number of T-shirts that need to be sold for the company to meet its goal

the profit made from the sale of 20 T-shirts

the profit made from 1 month of T-shirt sales

the number of T-shirts that need to be sold for the company to recover its monthly costs

Juanita used the steps shown below to correctly solve an equation. A step is missing. -3(c-6)+4c=5(2c+9) ? c+18=10c+45 c-27=10c -27=9c -3=c Which shows the equation that is most likely a missing step and the property that justifies the step?

-3c+18+4c=10c+45 distibutive property

-3c-6+4c=10c+9 Associative property of addition

-3c-6+4c=10c+9 distributive property

-3c+18+4c=10c+45 associative property of addition

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.

Christine sells 35 student tickets and 15 adult tickets.

Christine would earn $200 by selling 50 adult tickets

Christine sells a pair of tickets between $3 and $8

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

A cleaning service offers its customers a choice between the two plans. -Plan A costs $3000 and includes 1 year of unlimited cleanings -Plan B costs $75 per cleaning Henry wants to choose the less expensive plan. He uses the inequality 3000<75c to deduce which plan to choose based on the number of cleanings (c) he expects to need. Based on the solution of this inequality, which statement about Henry's choice of plan is true?

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

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

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

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

Keystone Algebra Prep

Quiz

•

Mathematics

•

7th - 10th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-BF.A.1A, 8.EE.C.8C, 8.EE.A.1

+6

Standards-aligned

Barbara White

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Four expressions are shown. Which inequality comparing two of the expressions is true when 0.1 < x < 0.4?

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The greatest common factor (GCF) of x³y^k and x^2ky⁴ is x³y³. What is the value of k?

1

2

3

4

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which equation correctly shows that (x²)⁴ = x⁸

Tags

CCSS.8.EE.A.1

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

When factored completely, which is a factor of 6x³ - 12x² - 48x?

(x + 2)

(x + 4)

(2x - 3)

(2x - 4)

Tags

CCSS.HSA.APR.B.2

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Anna's Baker charges a delivery fee of $10.95 for one delivery order of cupcakes. Each cupcake in the order costs $1.15. Which equation describes the relationship between the number of cupcakes ordered (x) and the total cost (y), in dollars, of the deliver order?

y = 1.15x

y = 12.10x

y = 1.15x + 10.95

y = 10.95x + 1.15

Tags

CCSS.HSF-BF.A.1A

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Kylie and Rhoda are solving the equation 4(x - 8) = 7(x - 4). Kylie uses a first step that results in 4x - 32 = 7x - 28. Rhoda uses a first step that results in 4x - 8 = 7x - 4. Which statement about the first steps Kylie and Rhoda use is true?

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

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

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

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

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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 to the system?

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

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

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

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

Tags

CCSS.HSF.IF.A.2

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Keystone Algebra Prep

20 questions

Four expressions are shown. Which inequality comparing two of the expressions is true when 0.1 < x < 0.4?

The greatest common factor (GCF) of x³y^k and x^2ky⁴ is x³y³. What is the value of k?

Which equation correctly shows that (x²)⁴ = x⁸

When factored completely, which is a factor of 6x³ - 12x² - 48x?

Anna's Baker charges a delivery fee of $10.95 for one delivery order of cupcakes. Each cupcake in the order costs $1.15. Which equation describes the relationship between the number of cupcakes ordered (x) and the total cost (y), in dollars, of the deliver order?

Kylie and Rhoda are solving the equation 4(x - 8) = 7(x - 4). Kylie uses a first step that results in 4x - 32 = 7x - 28. Rhoda uses a first step that results in 4x - 8 = 7x - 4. Which statement about the first steps Kylie and Rhoda use is true?

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 to the system?

Mary measured the heights of two different plants every day. Plant A was 1 inch tall when Mary began her measuring, and it grew 0.5 inch per day. Plant B was 3 inches tall, and it grew 0.25 inch per day. On which day were plant A and plant B the same height?

Which graph shows the solution set of the inequality |2x - 7| > 3?

The solution set of an inequality is shown. Which inequality has the solution set shown in the graph?

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Popular Resources on Wayground

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Keystone Algebra Prep

20 questions

Four expressions are shown. Which inequality comparing two of the expressions is true when 0.1 < x < 0.4?

The greatest common factor (GCF) of x3yk and x2ky4 is x3y3. What is the value of k?

Which equation correctly shows that (x2)4 = x8

When factored completely, which is a factor of 6x3 - 12x2 - 48x?

Anna's Baker charges a delivery fee of $10.95 for one delivery order of cupcakes. Each cupcake in the order costs $1.15. Which equation describes the relationship between the number of cupcakes ordered (x) and the total cost (y), in dollars, of the deliver order?

Kylie and Rhoda are solving the equation 4(x - 8) = 7(x - 4). Kylie uses a first step that results in 4x - 32 = 7x - 28. Rhoda uses a first step that results in 4x - 8 = 7x - 4. Which statement about the first steps Kylie and Rhoda use is true?

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 to the system?

Mary measured the heights of two different plants every day. Plant A was 1 inch tall when Mary began her measuring, and it grew 0.5 inch per day. Plant B was 3 inches tall, and it grew 0.25 inch per day. On which day were plant A and plant B the same height?

Which graph shows the solution set of the inequality |2x - 7| > 3?

The solution set of an inequality is shown. Which inequality has the solution set shown in the graph?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

The greatest common factor (GCF) of x³y^k and x^2ky⁴ is x³y³. What is the value of k?

Which equation correctly shows that (x²)⁴ = x⁸

When factored completely, which is a factor of 6x³ - 12x² - 48x?