Two students solve the equation $$𝟒(𝒙-𝟏)+𝟑𝒙=𝟔-𝒙+𝟔$$ .

Only Student 1 solves the equation correctly, while Student 2 solves the equation incorrectly.

Both students solve the equation correctly, and each makes no mistakes.

Both students solve the equation incorrectly, and each makes mistakes.

Only Student 2 solves the equation correctly, while Student 1 solves the equation incorrectly.

Consider the graph of a linear equation. Which two statements are true ?

The graph represents the equation $$𝑥-2𝑦=-2$$ .

The point (-2,0) is on the line.

The graph represents the equation $$𝑥+2𝑦=2$$ .

The point (0,-2) is on the line.

The point (1,0) is on the line.

Which statement about the line $$𝟒𝒙+𝒚=-𝟐𝟒$$ is true?

The point (-6,0) is on the line because (-6,0) represent a solution to the equation $$4𝑥+𝑦=-24$$ .

The point (-6,0) is not on the line because (-6,0) does not represent a solution to the equation $$4𝑥+𝑦=-24$$ .

The point (4,0) is not on the line because (4,0) represents a solution to the equation $$4𝑥+𝑦=-24.$$

he point (4,0) is on the line because (4,0) does not represent a solution to the equation $$4𝑥+𝑦=-24$$ .

Five students write a statement about the graph of the linear function. Which two students write a correct statement?

Student 1: The coordinates of the 𝒚-intercept are(𝟎,-𝟑).

Student 2: The 𝒙-intercept of the function is located at (𝟒, 𝟎).

Student 3: The function is decreasing.

Student 4: The coordinates of the 𝒚-intercept are (−𝟑, 𝟎).

Student 5: The 𝒙-intercept of the function is located at (𝟎, 𝟒).

A homeowner hires a carpenter for a project replacing kitchen cabinets. The homeowner pays a flat cost for materials and a price per hour, 𝒉, for the installation of the cabinets. The function 𝑻(𝒉)=𝟑𝟓𝒉+𝟕𝟎𝟎 represents the total cost of the project. Which statement is true?

The value 35 is the slope of the function, and it represents the price per hour for the installation of the cabinets.

The value 35 is the slope of the function, and it represents the flat cost for materials.

The value 35 is the 𝑦-intercept of the function, and it represents the flat cost for materials.

The value 35 is the 𝑦-intercept of the function, and it represents the price per hour for the installation of the cabinets.

A student surveys 𝟏𝟎 students at school to estimate the amount of time students spend completing schoolwork compared to playing video games. The student creates a scatter plot based on the data. The data on the scatter plot can be represented by the linear model $$𝒚=-𝟑𝒙+𝟏𝟖𝟖$$ , where 𝒙 represents the number of minutes spent completing schoolwork, and 𝒚 represents the number of minutes spent playing video games. Which statement is true?

For each additional minute spent completing schoolwork, the number of minutes spent playing video games decreases by 3 minutes.

For each additional minute spent completing schoolwork, the number of minutes spent playing video games increases by 3 minutes.

For each additional minute spent playing video games, the number of minutes spent completing schoolwork decreases by 3 minutes.

For each additional minute spent playing video games, the number of minutes spent completing schoolwork increases by 3 minutes.

The table shows the data collected from a survey of cat owners that asked each owner’s age, 𝒙, in years, and the number of cats, 𝒚, owned. Which statement is true?

The correlation coefficient is approximately -0.33, and it represents a weak linear relationship between the variables.

The correlation coefficient is approximately 0.33, and it represents a weak linear relationship between the variables.

The correlation coefficient is approximately 0.33, and it represents a strong linear relationship between the variables.

The correlation coefficient is approximately -0.33, and it represents a strong linear relationship between the variables.

Data Set R represents the ages of students at a book fair, while Data Set S represents the ages of students at a local library. Which statement is true?

Data Set R has a smaller median and interquartile range than Data Set S.

Data Set R has a greater median and a smaller interquartile range than Data Set S.

Data Set R has a greater median and interquartile range than Data Set S.

Data Set R has a smaller median and a greater interquartile range than Data Set S.

Algebra Benchmark 1 Review

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

A1.A.CED.A.4, A1.A.REI.B.2a, A1.A.REI.D.5

+10

Standards-aligned

David Tracey

Used 1+ times

FREE Resource

25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A tree is currently 𝟐 feet tall and grows 𝟏.𝟑 feet per year. Which inequality represents the time, in 𝒙 years, when the tree will have a height of at least 𝟐𝟎 feet?

Tags

A1.A.CED.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular field is fully enclosed with 𝟐𝟏𝟖 meters of fencing. The length of the field is 𝟏𝟕 meters longer than the width, 𝒘.Which statement is true?

Tags

A1.A.CED.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A couple drives to a gas station from a movie theater at a constant rate. The graph shows the number of miles remaining, 𝒚, after 𝒙 minutes of driving.
Which equation best represents the graph?

Tags

A1.A.CED.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The couple stops at the gas station to purchase a bottle of engine oil and 𝒈 gallons of gas. The bottle of engine oil costs $𝟕.𝟓𝟎, and gas costs $𝟐.𝟔𝟒 per gallon.
Which equation represents the total cost, 𝑻, the couple spends at the gas station based on the number of gallons of gas purchased?

Tags

A1.A.CED.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A garden store sells potted plants and shrubs.
A softball coach is purchasing equipment for the team at a sporting goods store. Each softball glove costs $𝟑𝟎, and each batting helmet costs $𝟐𝟓. The coach spends at most $𝟔𝟎𝟎.
Which inequality represents all the possible combinations of 𝒈, the number of gloves, and 𝒉, the number of helmets, the coach can purchase?

Tags

A1.A.CED.A.3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A café sells coffee and tea.
• On one day, the café sells twice as many teas as coffees.
• The café sells a total of 𝟗𝟎 coffees and teas on the same day.
The graph shows a system of equations representing the number of teas sold, 𝒚, based on the number of coffees sold, 𝒙.
For which situation will all conditions be satisfied?

The café sells 0 coffees and 90 teas.

The café sells 30 coffees and 60 teas.

The café sells 60 coffees and 30 teas.

The café sells 90 coffees and 0 teas.

Tags

A1.A.REI.C.4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

A1.A.CED.A.4

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Algebra Benchmark 1 Review

25 questions

A tree is currently 𝟐 feet tall and grows 𝟏.𝟑 feet per year. Which inequality represents the time, in 𝒙 years, when the tree will have a height of at least 𝟐𝟎 feet?

A rectangular field is fully enclosed with 𝟐𝟏𝟖 meters of fencing. The length of the field is 𝟏𝟕 meters longer than the width, 𝒘.Which statement is true?

A couple drives to a gas station from a movie theater at a constant rate. The graph shows the number of miles remaining, 𝒚, after 𝒙 minutes of driving.Which equation best represents the graph?

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Discover more resources for Mathematics

A couple drives to a gas station from a movie theater at a constant rate. The graph shows the number of miles remaining, 𝒚, after 𝒙 minutes of driving.
Which equation best represents the graph?