SAT Math Lesson 01 - Quiz
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1. What is the slope of the line given by the equation \( y = -3x + 7 \)?
2. What is the y-intercept of the line given by the equation \( y = \frac{1}{2}x - 4 \)?
A. \(\frac{1}{2}\)
B. -4
C. 4
D. -\(\frac{1}{2}\)
3. Which of the following is the equation of a line that passes through the point (2, -3) with a slope of 5?
A. \( y + 3 = 5(x - 2) \)
B. \( y - 3 = 5(x + 2) \)
C. \( y - 3 = 5(x - 2) \)
D. \( y + 3 = 5(x + 2) \)
4. Rewrite the equation \( 3x - 4y = 12 \) in slope-intercept form.
A. \( y = \frac{3}{4}x - 3 \)
B. \( y = -\frac{3}{4}x + 3 \)
C. \( y = \frac{4}{3}x - 3 \)
D. \( y = -\frac{4}{3}x + 3 \)
5. If a line passes through the points (1, 2) and (4, 8), what is the slope of the line?
A. 2
B. \(\frac{2}{3}\)
C. \(\frac{3}{2}\)
D. -2
6. What is the equation of a line in slope-intercept form that passes through the point (3, -1) and has a slope of -\(\frac{2}{3}\)?
A. \( y = -\frac{2}{3}x + 1 \)
B. \( y = -\frac{2}{3}x - 3 \)
C. \( y = -\frac{2}{3}x + 3 \)
D. \( y = -\frac{2}{3}x - 1 \)
7. Convert the equation \( y - 5 = 3(x + 4) \) to slope-intercept form.
A. \( y = 3x + 17 \)
B. \( y = 3x - 17 \)
C. \( y = 3x + 5 \)
D. \( y = 3x - 5 \)
8. Find the x-intercept of the line given by the equation \( 5x - 2y = 10 \).
A. (0, 5)
B. (2, 0)
C. (0, 2)
D. (5, 0)
9. What is the equation of a line in standard form that passes through the points (-3, 4) and (1, -2)?
A. \( 3x - 2y = -3 \)
B. \( 2x + 3y = 6 \)
C. \( 3x + 2y = -6 \)
D. \( 2x - 3y = -6 \)
10. Which of the following represents a line that passes through (0, 3) and has a slope of -2?
A. \( y = 2x + 3 \)
B. \( y = -2x + 3 \)
C. \( y = -2x - 3 \)
D. \( y = 2x - 3 \)
11. What is the slope of the line represented by the equation \( 4y - 8x = 16 \)?
A. 2
B. -2
C. \(\frac{1}{2}\)
D. -\(\frac{1}{2}\)
12. Which of the following equations represents a line parallel to the line \( y = \frac{3}{4}x + 1 \)?
A. \( y = -\frac{4}{3}x + 2 \)
B. \( y = \frac{3}{4}x - 5 \)
C. \( y = \frac{1}{4}x + 3 \)
D. \( y = -\frac{3}{4}x + 1 \)
13. Convert the equation \( y + 2 = -\frac{1}{3}(x - 6) \) to slope-intercept form.
A. \( y = -\frac{1}{3}x + 4 \)
B. \( y = -\frac{1}{3}x - 4 \)
C. \( y = -\frac{1}{3}x + 2 \)
D. \( y = \frac{1}{3}x - 4 \)
14. If the line \( 2x - 3y = 6 \) is rewritten in slope-intercept form, what is the slope?
A. -\(\frac{2}{3}\)
B. \(\frac{2}{3}\)
C. \(\frac{3}{2}\)
D. -\(\frac{3}{2}\)
15. What is the equation of the line in standard form that has a slope of -5 and passes through the point (2, 4)?
A. \( 5x + y = 30 \)
B. \( 5x - y = -10 \)
C. \( 5x + y = 10 \)
D. \( 5x - y = 10 \)
16. Find the y-intercept of the line represented by the equation \( 7x + 2y = 14 \).
17. Which of the following is the point-slope form of the line with slope 3 that passes through the point (-1, 2)?
A. \( y - 2 = 3(x + 1) \)
B. \( y - 2 = 3(x - 1) \)
C. \( y + 1 = 3(x - 2) \)
D. \( y + 1 = 3(x + 2) \)
18. A line is defined by the equation \( 3x + 5y = 15 \). What is the slope of this line?
A. -\(\frac{3}{5}\)
B. \(\frac{3}{5}\)
C. \(\frac{5}{3}\)
D. -\(\frac{5}{3}\)
19. If the equation of a line is given by \( y = -\frac{2}{5}x + 1 \), what is the x-intercept?
A. (2.5, 0)
B. (5, 0)
C. (0, 1)
D. (0, 5)
20. Which of the following equations represents a line perpendicular to the line \( y = -\frac{1}{4}x + 2 \)?
A. \( y = 4x + 1 \)
B. \( y = -4x + 2 \)
C. \( y = -\frac{1}{4}x + 3 \)
D. \( y = \frac{1}{4}x - 2 \)
21. If a line in standard form is given by \( Ax + By = C \), which of the following represents the slope?
A. \( -\frac{A}{B} \)
B. \( \frac{A}{B} \)
C. \( \frac{B}{A} \)
D. \( -\frac{B}{A} \)
22. What is the y-intercept of the line defined by \( 5x + 3y = 12 \)?
23. A line has the equation \( y - 3 = 2(x + 1) \). Which point lies on this line?
A. (0, 1)
B. (1, 5)
C. (-1, 3)
D. (-2, 1)
24. Convert the point-slope form \( y - 4 = 3(x - 2) \) to standard form.
A. \( 3x - y = 6 \)
B. \( 3x + y = 10 \)
C. \( 3x - y = 10 \)
D. \( 3x + y = 6 \)
25. What is the equation of the line in slope-intercept form that passes through the points (1, 2) and (3, 6)?
A. \( y = 2x \)
B. \( y = 3x - 1 \)
C. \( y = 2x + 1 \)
D. \( y = 4x - 2 \)
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