1. Determine whether or not the following numbers are natural numbers, integers, or rational numbers. 4+5 4+5 (a) 0 () з — 2 (c) 7-6 (d) -3 1 2. 1 17 + 2 22 2 3. 11

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.4: Determining The Equation Of A Line
Problem 83PS
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1. Find the slope of the line 7y + 10x = 11.
2. Find all r satisfying the given inequality 8r + 2 > 0.
3. For which values of a is r? – 5 < 0?
4. For which values of r is r? – r - 12 < 0?
5. Solve the inequality and express your answer in interval notation: ² + 21 > 10z.
6. Solve for r: x - 2r – 8 = 0.
7. Solve for æ: (r + 6) = 2.
8. Solve for z:
- - = 0.
9. Sketch the graph of f(r) = r? – 4x + 7.
10. Sketch the graph of f(r)
= -2x + 8r - 5.
11. Graph the parabola y = -6x? + 8.
5x + 2
12. Let f(r) =
Compute f(10) and state the domain of f.
-I-6
13. Where does the graph of y = r intersect the graph of r? + y? = 4?
14. Sketch the curve -a - y? + 8x – 4y – 11 = 0.
15. Find the equation of the line through (0,0) which is perpendicular to the line 3y – 2x +8 = 0.
16. Find the equation of the line passing through the points (5, 7) and (-1,4).
17. Find the distance between the points (1,1) and (1, -1).
18. Find the point(s) where the pair of figures described by the given equations intersect.
y = -2r + 7 and y = 5x +1
19. Find the points of intersection between the graphs of the given pair of equations.
y = 5x and y = -6x + 7
20. What are the possible number of points of intersection between two circles.
Transcribed Image Text:1. Find the slope of the line 7y + 10x = 11. 2. Find all r satisfying the given inequality 8r + 2 > 0. 3. For which values of a is r? – 5 < 0? 4. For which values of r is r? – r - 12 < 0? 5. Solve the inequality and express your answer in interval notation: ² + 21 > 10z. 6. Solve for r: x - 2r – 8 = 0. 7. Solve for æ: (r + 6) = 2. 8. Solve for z: - - = 0. 9. Sketch the graph of f(r) = r? – 4x + 7. 10. Sketch the graph of f(r) = -2x + 8r - 5. 11. Graph the parabola y = -6x? + 8. 5x + 2 12. Let f(r) = Compute f(10) and state the domain of f. -I-6 13. Where does the graph of y = r intersect the graph of r? + y? = 4? 14. Sketch the curve -a - y? + 8x – 4y – 11 = 0. 15. Find the equation of the line through (0,0) which is perpendicular to the line 3y – 2x +8 = 0. 16. Find the equation of the line passing through the points (5, 7) and (-1,4). 17. Find the distance between the points (1,1) and (1, -1). 18. Find the point(s) where the pair of figures described by the given equations intersect. y = -2r + 7 and y = 5x +1 19. Find the points of intersection between the graphs of the given pair of equations. y = 5x and y = -6x + 7 20. What are the possible number of points of intersection between two circles.
1.
Determine whether or not the following numbers are natural numbers, integers, or rational
numbers.
4 +5
4 +5
(a) 0
(b) з —
2
(c) 7 – 6
(d)
-3
2
2.
1
1
3.
2
17
2
22
11
4.
5. Write the proper inequality sign between each pair of the given numbers.
3
(b) 1
(c) V12 and 4.
(a) 0.000000025 and – 10,000
and
6. Factor 2a? – x.
- 2.
7. Find the reciprocal of
13
8. Simplify the given expression.
(-12)(-3) + 3
-7 - (-2)
9. The number 120 is 15% of what number?
2
10.
= -
11. Simplify (a – 3)(b+ c) – (ac + 26).
12. Solve for æ: 2(3x – 7) – (4x – 10) = 0.
13. Put the following list of numbers in ascending order. (Try to do it without finding decimal
equivalents for the numbers).
7 22
23
9
3,
8.0 5
14. Simplify the following expressions.
3
(a) )
-2x
(d)
(b)
(c)
-6
Transcribed Image Text:1. Determine whether or not the following numbers are natural numbers, integers, or rational numbers. 4 +5 4 +5 (a) 0 (b) з — 2 (c) 7 – 6 (d) -3 2 2. 1 1 3. 2 17 2 22 11 4. 5. Write the proper inequality sign between each pair of the given numbers. 3 (b) 1 (c) V12 and 4. (a) 0.000000025 and – 10,000 and 6. Factor 2a? – x. - 2. 7. Find the reciprocal of 13 8. Simplify the given expression. (-12)(-3) + 3 -7 - (-2) 9. The number 120 is 15% of what number? 2 10. = - 11. Simplify (a – 3)(b+ c) – (ac + 26). 12. Solve for æ: 2(3x – 7) – (4x – 10) = 0. 13. Put the following list of numbers in ascending order. (Try to do it without finding decimal equivalents for the numbers). 7 22 23 9 3, 8.0 5 14. Simplify the following expressions. 3 (a) ) -2x (d) (b) (c) -6
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