Part 6
Solve.
1. 5x – 7 + 5x = 8x + 49 – 5x
2. Solve.
9k + 27 = 3(3k + 6)
3. Solve. Clear fractions first.
1/6y – 3 = 4
4. Solve.
-8x – 5x = -91
5. Solve.
8x + 8 = -56
6. Solve using the multiplication principle.
6.7t = -46.9
7. Solve using the multiplication principle.
24 = 4x
8.
1/3a-1/3= -4
9.
Solve.
-6b + 2 + 4b = -3b + 7
10. Solve.
-11 + x = x – 11
11. Solve.
6r + 4 = 58
12. Solve.
-7n – 2 = 68
13. Decide if the given number is a solution to the given equation.
7m + 2 = 60; 8
14.
Solve.
-3 + 7p = -6
15. Decide if the given number is a solution to the given equation.
x/4 = 7; 28
16. Solve using the multiplication principle.
45 = -9k
17. Solve.
0.4(5x + 15) = 2.5 – (x + 3)
18.
Solve using the multiplication principle.
-52 = -4n
19. Solve using the multiplication principle.
4/7=4/7x
20. Solve.
2(x + 5) + 4 = 3(x + 4) + 5
Part 7
1. Find the coordinates of the y-intercept for the given equation.
Y=4/5x-5
2. Find the slope of the line.
y = -3
3 Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form.
(8, -3), m = -4
4 Find the coordinates of the y-intercept for the given equation.
y = 9x – 7
5 Find an equation of the line with the given slope and y-intercept.
Slope = 3, y-intercept = (0, 0)
6. Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form.
(-3, 0), m = 2
7. Find the coordinates of the y-intercept and the x-intercept, in that order.
x + y = -4
8. Find the slope and the y-intercept of the line.
y = -7
9.
Find the coordinates of the y-intercept and the coordinates of the x-intercept.
10. Graph.
x = -2
11. Graph the linear equation.
x + 5y = 4
12. Write an equation for the graph.
13. Find the slope and the y-intercept of the line.
-4x + 5y = -10
14. Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form.
(4, 2), m = – 4
15. Find the slope of the line.
16. Graph the line containing the given pair of points and find the slope.
(1, 8) (0, 0)
17. Find an equation of the line with the given slope and y-intercept.
Slope = -9, y-intercept = (0, -3)
18.
Graph the line containing the given pair of points and find the slope.
(-4, -5) (9, -4)
19. Find the slope and the y-intercept of the line.
4x + 5y = 26
20. Determine whether the given ordered pair is a solution of the equation.
2x + 5y = 24; (2, 4)
Part 8
1. Graph the inequality.
x > 4
2. Solve.
lt+4l=0
3. Solve the problem.
A 9-pound puppy is gaining weight at a rate of 2/3 lb per week. How much more time will it take for the puppy’s weight to exceed 35 2/3 lb?
4. Determine whether the given number is a solution of the inequality.
x ≤ 5, -5.3
5. Solve.
|2x – 4|= 18
6. Solve
lxl= 2.1
7. Solve.
l8x-9l = 4
8. Solve.
4lx+9l- 9 = 3
9. Solve.
l8xl = 5
10. Translate the sentence to an inequality.
John weighs at least 124 pounds.
11. Solve using the addition principle. Graph and write set-builder notation for the answer.
a + 11 < 16
12. Determine whether the given number is a solution of the inequality.
x > 3, 1
12. Select one:
Yes
No
13. Solve the problem.
In order for a chemical reaction to take place, the Fahrenheit temperature of the reagents must be at least 118.51 f. Find the Celsius temperatures at which the reaction may occur. 118.51
14.
Solve the problem.
Jim has gotten scores of 78 and 69 on his first two tests. What score must he get on his third test to keep an average of 70 or greater?
15. Translate the sentence to an inequality.
The number of people at a concert is not to exceed 3943.
16. Solve using the addition and multiplication principles.
10 + 3x < 30
17. Solve.
lx+1l = -6
19.Find the distance between the points on a number line.
-2, 18
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