Question 1

Which of the following is the slope-intercept form of the line passing through the points $$(3,2)$$ and $$(-5,6)$$?

Accepted Answer

$$y = -\frac{1}{2}x + \frac{7}{2}$$

Question 2

Mary is stuffing envelopes. After 4 minutes, she has stuffed 32 envelopes. Five minutes later she had 72 stuffed envelopes. What is her rate of change?

Accepted Answer

$$40$$ envelopes per minute

Question 3

What is the $$x-$$intercept of the line $$4x - 3y = 24$$?

Accepted Answer

$$(6, 0)$$

Question 4

Given the line $$y = -3x - 5$$, which of the following points is a solution to the equation?

Accepted Answer

$$(2, -11)$$

Question 5

Which of the following statements is true about the line $$x = -2$$?

Accepted Answer

It is a vertical line with undefined slope.

Question 6

Find the slope of the line passing through the points $$(8, -6)$$ and $$(-11, 4).$$

Accepted Answer

$$-\frac{10}{19}$$

Question 7

Which of the following sequences is arithmetic?

Accepted Answer

$$6, 1, -4, -9, -14, \ldots$$

Question 8

Given the arithmetic sequence $$a_1 = 137$, a$$_{40} = 389$$, what is the common difference d$?

Accepted Answer

$$20$$

Question 9

Which of the following is the explicit formula for the arithmetic sequence with $$a_1 = 4$ and d = 11$?

Accepted Answer

$$a_n = 4 + 11(n-1)$$

Question 10

Given $$Ax + By = C$$, where $$A \u003e 0$$, $$B  0$$, what is the sign of the $$y-$$intercept?

Accepted Answer

Positive

Question 11

Suppose there is a line $$y = mx + b$$ that passes through quadrants I, II, and III. Which of the following must be true?

Accepted Answer

$$m  0$$, $$x-$$intercept $$\u003c 0$$

Question 12

Which of the following is the equation of the line parallel to $$x = 9$$ passing through $$(-2, 4)$$?

Accepted Answer

$$x = -2$$

Question 13

Given the line $$y = \frac{5}{2}x + 4$$, what is the $$y-$$coordinate when $$x = -7$$?

Accepted Answer

$$-7$$

Question 14

Which of the following is the point-slope form of the line passing through $$(2, 6)$$ and $$(-3, 8)$$?

Accepted Answer

$$y - 6 = -\frac{2}{5}(x - 2)$$

Question 15

If a line has both an $$x-$$intercept and a $$y-$$intercept, is this always true, sometimes true, or never true?

Accepted Answer

Always true

Question 16

Which of the following is the slope of the line $$y = -\frac{1}{2}x + 4$$?

Accepted Answer

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

Question 17

Given the sequence $$a_n = 4 + 11(n-1)$$, what is the $$128th $$term?

Accepted Answer

$$1,411$$

Question 18

Which of the following is the $$y-$$intercept of the line $$8x + 6y = 12$$?

Accepted Answer

$$(0, 2)$$

Question 19

Which of the following is true about the slope of a vertical line?

Accepted Answer

It is undefined.

Question 20

Given the line $$y = 3x - 5$$, what is the $$x-$$coordinate of the $$y-$$intercept?

Accepted Answer

$$0$$

Linear Equations, Slope, and Arithmetic Sequences: College Algebra Study Notes

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