Question 1

Which of the following ordered pairs is located in Quadrant II of the rectangular coordinate system?

Accepted Answer

$$(-2, 5)$$

Question 2

What are the coordinates of the origin in the rectangular coordinate system?

Accepted Answer

$$(0, 0)$$

Question 3

Which of the following statements is TRUE about the ordered pair $$(-3, 0)$$?

Accepted Answer

It is located on the x-axis.

Question 4

Determine whether the ordered pair $$(2, -1) is a $$solution to the equation $$y = 3x - 7.$$

Accepted Answer

Yes, because $$-1 = 3(2) - 7 is $$true.

Question 5

Which of the following is NOT a solution to the equation $$y = 2x + 1$$?

Accepted Answer

$$(1, 0)$$

Question 6

A company models its monthly profit $$P (in $$thousands of dollars) as $$P = 4n + 10$$, where $$n is $$the number of months after January. What is the profit in May?

Accepted Answer

$$P = 4(4) + 10 = 26$$

Question 7

Given the equation $$y = -x + 3$$, which of the following points lies on its graph?

Accepted Answer

$$(1, 2)$$

Question 8

If the equation $$y = 1.4n + 1$$ models the percentage $$y of $$consumers using debit cards $$n$$ years after 1995, what is the projected percentage in 2010?

Accepted Answer

$$y = 1.4(15) + 1 = 22$$

Question 9

Which step is NOT part of the point-plotting method for graphing an equation in two variables?

Accepted Answer

Calculate the area under the curve.

Question 10

A scientist uses the model $$T = 5x + 12 to $$predict the temperature $$T (in $$degrees Celsius) $$x$$ hours after midnight. What is the temperature at 8 AM?

Accepted Answer

$$T = 5(8) + 12 = 52$$

Question 11

Which of the following best describes the meaning of the y-intercept in the equation $$y = 1.4n + 1$$?

Accepted Answer

The percentage of consumers using debit cards in 1995.

Question 12

If a point $$(x, y) is a $$solution to the equation $$y = 2x$$, which of the following must be true?

Accepted Answer

$$y is $$always twice $$x.$$

Question 13

A business tracks its sales with the equation $$S = 3n + 5$$, where $$S is $$sales in thousands and $$n is $$the number of months after launch. If sales reach $$20$$ thousand, how many months after launch is this?

Accepted Answer

Question 14

Which of the following ordered pairs is NOT a solution to $$y = 3x + 2$$?

Accepted Answer

$$(2, 8)$$

Question 15

If the graph of a linear equation passes through the points $$(0, 1)$$ and $$(5, 8)$$, what is the equation of the line?

Accepted Answer

$$y = \frac{7}{5}x + 1$$

Question 16

A medical researcher models the spread of a virus with $$V = 2t + 10$$, where $$V is $$the number of cases (in hundreds) and $$t is $$the number of days after the outbreak. How many cases are there after 15 days?

Accepted Answer

$$V = 2(15) + 10 = 40$$

Graphing Linear Equations and Inequalities in Two Variables: Study Notes

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