Question 1

The __________ form of a linear equation in two variables is $A x + B y = C$ , where not both A and B are 0.

Accepted Answer

The answer of The __________ form of a linear equation...

Question 2

Consider the linear equation $6 x - 4 y = - 12$ . Find the y -intercept of its graph. ( ________,________ )

Accepted Answer

The answer of Consider the linear equation \(6 x -...

Question 3

Graph $y = \frac { 1 } { 2 } x + 3$ .
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph \(y = \frac { 1 }...

Question 4

Refer to the graph.  What is the x -intercept of the line?
 ( ________,________ ) What is the y -intercept of the line?
 ( ________,________ )

Accepted Answer

The answer of Refer to the graph.  What is...

Question 5

Determine whether the given ordered pair is a solution of the equation $5 x - 4 y = - 28$ . (2,-1)

Accepted Answer

The answer of Determine whether the given ordered pair is...

Question 6

Determine whether the ordered pair is a solution of the equation. $y = - 3 x - 2$ (-1,5)

Accepted Answer

The answer of Determine whether the ordered pair is a...

Question 7

If the demand equation for a 25-inch television is $p = - \frac { 1 } { 10 } q + 600$ , where p is the price and q is the number of televisions sold at that price, how many televisions will be sold at a price of $520?
A) 575
B) 800
C) 715
D) 8

Accepted Answer

The answer of If the demand equation for a 25-inch...

Question 8

The __________ of a line is the point (a,0) , where the line intersects the x -axis.

Accepted Answer

The answer of The __________ of a line is the...

Question 9

The __________ of a line is the point (0,b) where the line intersects the y -axis.

Accepted Answer

The answer of The __________ of a line is the...

Question 10

Determine whether the ordered pair is a solution of the equation. $y = - 5 x - 3$ (3,-12)

Accepted Answer

The answer of Determine whether the ordered pair is a...

Question 11

Consider the linear equation $6 x - 10 y = - 30$ . Find the x -intercept of its graph. ( ________,________ )

Accepted Answer

The answer of Consider the linear equation \(6 x -...

Question 12

The graph of any equation of the form $x = a$ is a __________ line. The graph of any equation of the form $y = b$ is a __________ line.

Accepted Answer

The answer of The graph of any equation of the...

Question 13

A car purchased for $28,000 is expected to depreciate according to the formula $y = - 1550 x + 28,000$ . When will the car have no value?
A) 18.1 years
B) 28 years
C) 17.1 years
D) 19.1 years

Accepted Answer

The car will have no value when y = 0. So, we can solve the equation -1550x + 28,000 = 0 for x.-1550x = -28,000x = 28,000 / 1550x = 18.06 years (rounded to two decimal places)Therefore, the car will have no value after approximately 18.1 years.

Question 14

A computer that was purchased for $3,164 is expected to depreciate according to the formula $y = - 791 x + 3,164$ , where y is the value of the computer after x years. When will the computer have no value?
A) 3 years
B) 3.5 years
C) 4 years
D) 4.5 years

Accepted Answer

To find when the computer will have no value, we need to set y (the value of the computer) equal to 0 and solve for x (years).
0 = -791x + 3164
791x = 3164
x = 4
Therefore, the computer will have no value after 4 years. The answer is choice C.

Question 15

Describe the graph of the equation xy=0

Accepted Answer

The answer of Describe the graph of the equation xy=0...

Question 16

A carpet company purchased a new loom for $280,000. For income tax purposes, company accountants will use the straight-line depreciation model $y = - 17,500 x + 280,000$ to describe the declining value of the loom. When will the loom be one-half of its purchase price?
A) 4 years
B) 8 years
C) 12 years
D) 16 years

Accepted Answer

To find when the loom will be one-half of its purchase price, we set $y = \frac{1}{2} \times 280,000 = 140,000$. Substituting into the equation gives $140,000 = -17,500x + 280,000$. Solving for $x$ gives $x = 8$ years.

Question 17

Consider the linear equation $6 x - 10 y = - 30$ . Does its graph pass through (5,6) ?

Accepted Answer

The answer of Consider the linear equation \(6 x -...

Question 18

Determine whether the given ordered pair is a solution of the equation $5 x - 2 y = - 24$ . (-4,2)

Accepted Answer

The answer of Determine whether the given ordered pair is...

Question 19

Which one of the following equations is the equation for the graph below? 
A) $x - 3 y = - 6$
B) $x + 3 y = - 6$
C) $x - 3 y = 2$
D) $x + 3 y = 2$

Accepted Answer

The answer of Which one of the following equations is...

Question 20

Which one of the following is a true statement?
A) $\left( - \frac { 2 } { 3 } , 3 \right)$ is a solution of $3 x - 2 y = 4$ .
B) $\left( \frac { 2 } { 3 } , 1 \right)$ is a solution of $3 x - 2 y = 4$ .
C) $\left( \frac { 4 } { 3 } , \frac { 1 } { 2 } \right)$ is a solution of $3 x - 2 y = 4$ .
D) $\left( - \frac { 2 } { 3 } , - 3 \right)$ is a solution of $3 x - 2 y = 4$ .

Accepted Answer

The answer of Which one of the following is a...

Quiz 2: Graphs, Equations of Lines, and Functions

The __________ form of a linear equation in two variables is $A x + B y = C$ , where not both A and B are 0.

Consider the linear equation $6 x - 4 y = - 12$ . Find the y -intercept of its graph. ( , )

Graph $y = \frac { 1 } { 2 } x + 3$ .

Refer to the graph. What is the x -intercept of the line? ( , ) What is the y -intercept of the line? ( , )

Determine whether the given ordered pair is a solution of the equation $5 x - 4 y = - 28$ . (2,-1)

Determine whether the ordered pair is a solution of the equation. $y = - 3 x - 2$ (-1,5)

If the demand equation for a 25-inch television is $p = - \frac { 1 } { 10 } q + 600$ , where p is the price and q is the number of televisions sold at that price, how many televisions will be sold at a price of $520?

The __________ of a line is the point (a,0) , where the line intersects the x -axis.

The __________ of a line is the point (0,b) where the line intersects the y -axis.

Determine whether the ordered pair is a solution of the equation. $y = - 5 x - 3$ (3,-12)

Consider the linear equation $6 x - 10 y = - 30$ . Find the x -intercept of its graph. ( , )

The graph of any equation of the form $x = a$ is a line. The graph of any equation of the form $y = b$ is a line.

A car purchased for $28,000 is expected to depreciate according to the formula $y = - 1550 x + 28,000$ . When will the car have no value?

A computer that was purchased for $3,164 is expected to depreciate according to the formula $y = - 791 x + 3,164$ , where y is the value of the computer after x years. When will the computer have no value?

Describe the graph of the equation xy=0

A carpet company purchased a new loom for $280,000. For income tax purposes, company accountants will use the straight-line depreciation model $y = - 17,500 x + 280,000$ to describe the declining value of the loom. When will the loom be one-half of its purchase price?

Consider the linear equation $6 x - 10 y = - 30$ . Does its graph pass through (5,6) ?

Determine whether the given ordered pair is a solution of the equation $5 x - 2 y = - 24$ . (-4,2)

Which one of the following equations is the equation for the graph below?

Which one of the following is a true statement?

Quiz 2: Graphs, Equations of Lines, and Functions

The __________ form of a linear equation in two variables is Ax+By=CA x + B y = CAx+By=C , where not both A and B are 0.

Consider the linear equation 6x−4y=−126 x - 4 y = - 126x−4y=−12 . Find the y -intercept of its graph. ( ________,________ )

Graph y=12x+3y = \frac { 1 } { 2 } x + 3y=21​x+3 .

Refer to the graph. What is the x -intercept of the line? ( ________,________ ) What is the y -intercept of the line? ( ________,________ )

Determine whether the given ordered pair is a solution of the equation 5x−4y=−285 x - 4 y = - 285x−4y=−28 . (2,-1)

Determine whether the ordered pair is a solution of the equation. y=−3x−2y = - 3 x - 2y=−3x−2 (-1,5)

If the demand equation for a 25-inch television is p=−110q+600p = - \frac { 1 } { 10 } q + 600p=−101​q+600 , where p is the price and q is the number of televisions sold at that price, how many televisions will be sold at a price of $520?

The __________ of a line is the point (a,0) , where the line intersects the x -axis.

The __________ of a line is the point (0,b) where the line intersects the y -axis.

Determine whether the ordered pair is a solution of the equation. y=−5x−3y = - 5 x - 3y=−5x−3 (3,-12)

Consider the linear equation 6x−10y=−306 x - 10 y = - 306x−10y=−30 . Find the x -intercept of its graph. ( ________,________ )

The graph of any equation of the form x=ax = ax=a is a __________ line. The graph of any equation of the form y=by = by=b is a __________ line.

A car purchased for $28,000 is expected to depreciate according to the formula y=−1550x+28,000y = - 1550 x + 28,000y=−1550x+28,000 . When will the car have no value?

A computer that was purchased for $3,164 is expected to depreciate according to the formula y=−791x+3,164y = - 791 x + 3,164y=−791x+3,164 , where y is the value of the computer after x years. When will the computer have no value?

Describe the graph of the equation xy=0

Consider the linear equation 6x−10y=−306 x - 10 y = - 306x−10y=−30 . Does its graph pass through (5,6) ?

Determine whether the given ordered pair is a solution of the equation 5x−2y=−245 x - 2 y = - 245x−2y=−24 . (-4,2)

Which one of the following equations is the equation for the graph below?

Which one of the following is a true statement?

The __________ form of a linear equation in two variables is $A x + B y = C$ , where not both A and B are 0.

Consider the linear equation $6 x - 4 y = - 12$ . Find the y -intercept of its graph. ( , )

Graph $y = \frac { 1 } { 2 } x + 3$ .

Refer to the graph. What is the x -intercept of the line? ( , ) What is the y -intercept of the line? ( , )

Determine whether the given ordered pair is a solution of the equation $5 x - 4 y = - 28$ . (2,-1)

Determine whether the ordered pair is a solution of the equation. $y = - 3 x - 2$ (-1,5)

If the demand equation for a 25-inch television is $p = - \frac { 1 } { 10 } q + 600$ , where p is the price and q is the number of televisions sold at that price, how many televisions will be sold at a price of $520?

Determine whether the ordered pair is a solution of the equation. $y = - 5 x - 3$ (3,-12)

Consider the linear equation $6 x - 10 y = - 30$ . Find the x -intercept of its graph. ( , )

The graph of any equation of the form $x = a$ is a line. The graph of any equation of the form $y = b$ is a line.

A car purchased for $28,000 is expected to depreciate according to the formula $y = - 1550 x + 28,000$ . When will the car have no value?

A computer that was purchased for $3,164 is expected to depreciate according to the formula $y = - 791 x + 3,164$ , where y is the value of the computer after x years. When will the computer have no value?

Consider the linear equation $6 x - 10 y = - 30$ . Does its graph pass through (5,6) ?

Determine whether the given ordered pair is a solution of the equation $5 x - 2 y = - 24$ . (-4,2)