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 $A > 0$, $B < 0$, and $C > 0$, 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

$m < 0$, $b > 0$, $x$-intercept $< 0$

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 $128$th 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

Study Guide - Practice Questions

Study Guide - Flashcards