Quiz about Linear Equations And Graphs

Question 1

The points $$(0,1)$$ and $$(1,4)$$ are contained in the graph of an equation with only two variables, $$x$$ and $$y$$. Select the true statement.

Accepted Answer

Covalent bond

Answer

There is exactly one equation in the form $$y=m x+b$$ that contains these points.

Answer

There are two equations in the form $$y=m x+b$$ that contain these points.

Answer

There is exactly more than two equations in the form $$y=a . b^{x}$$ that contains these points.

Answer

There is exactly two equations in the form $$y=a . b^{x}$$ that contains these points.

Question 2

What two numbers have a sum of $$217$$ and a difference of $$85$$ ?

Accepted Answer

Covalent bond

Answer

151,66

Answer

201,16

Answer

153,64

Answer

129,214

Question 3

A plot is shown relating the number of vehicles using alternative fuels to the number of years since 1992.

![](http://admin.getprephub.com/media/editor/sp18_20230223191255999131.png)
Based on the equation of the line of best fit for the data, which statement is a valid conclusion?

Accepted Answer

Covalent bond

Answer

The number of vehicles using alternative fuels in the United States increased from approximately 275,763 in 1992 by approximately 18,891 every year up to 1999 .

Answer

The average number of vehicles using alternative fuels in the United States from 1992 to 1999 was approximately 18,891 .

Answer

The increase in the number of vehicles using alternative fuels in the United States every year varied from approximately 18,891 to approximately 275,763 .

Answer

The number of vehicles using alternative fuels in the United States increased from approximately 18,891 in 1992 to approximately 275,763 in 1999.

Question 4

Two freight trains are traveling to Columbus, Ohio. A graph is shown representing each train's remaining distance to Columbus over time.
![](http://admin.getprephub.com/media/editor/spr16_20230225194845679529.png)
Compare the distances relative to Columbus from which the trains begin their trip.

Tom claims both trains traveled at the same speed over a certain interval. Sara claims that both trains traveled at different speeds the entire time. Justify which claim is correct.

Who is right?

Accepted Answer

Covalent bond

Answer

Tom

Answer

Sara

Answer

Sara

Answer

Sara

Question 5

Line segment $$A C$$ has endpoints $$A(-1,-3.5)$$ and $$C(5,-1)$$.
Point $$B$$ is on line segment $$A C$$ and is located at $$(0.2,-3)$$.
What is the ratio of $$\frac{A B}{B C}$$ ?

Accepted Answer

Covalent bond

Answer

$$\frac{1}{4}$$

Answer

$$\frac{1}{6}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{5}{4}$$

Ohio State Linear Equations And Graphs Algebra 1 Maths Problems and Solutions

Many students find Linear Equations And Graphs for Algebra 1 particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for Linear Equations And Graphs from Ohio State for Algebra 1 preparation.