Graphs and algebric problems


Questions:

1. List all the factors of 45.

2. Which number is prime?

A) 1
B) 12
C) 31
D) 99

3. List all the prime numbers between 25 and 60.

4. Find the GCF for 68, 85, and 153.

5. Find the LCM for 18 and 27.6.

6. Multiply and write the result in simplest form.2/9.4/5

A. 8/45
B.4/7
C.360/45
D. 5/18

7. Add 2/7 + 2/3

8. Subtract 3 1/3 - 1 2/3

9. Evaluate. (3.2 + 1 )2

10. Evaluate. (15-5) ÷ [(12 ÷ 2.2)-2]

A.10

B.1

C.5/3

D.8

11. Evaluate. | -48|

12. Write the following phrase using symbols. Use the variable x to represent the number.
A number decreased by by 6

13. Subtract -11 -20

A. 31
B. -9
C. 9
D. -31

14. Divide -6/0

A. -6
B. 0
C. Undefined
D. 1

15. Combine like terms

       2r+10s+4r

A. 6r + 10s
B. 16rs
C. 12r + 4s
D. 16r + s

16. Divide

   m8n6/m4n2

A. m2n3

B. m4n4

C. m2n4

D.m4n3

17. Multiply.

     a7.a5

18. Solve. x - 9 = -6

19. Solve. 10x- 1/4 = 9x + 3/8

A. 1/8

B. -1/8

C. 5/8

D. -5/8

20. Solve. 8x - 11 = 2x = 1

21. Translate the following statement into an algebraic equaion. Let x represent the number.
3 more than 9 times a number is 4 times that same number.

22. Solve. 8 - (4x-3) = 19

23. Tickets for a play at the community theater cost $14 for an adult and $2 for a child. If 270 tickets were sold and the total receipts were $2340, how many of each type of ticket were sold?

24. Graph the solution set of x< -1.

800_Solution set.jpg

25. Solve and graph the solution set. 3x>7x+20

2267_Solution set_2.jpg

26. Which of the ordered pairs is a solution for the equation 4x - 3y = 12?
A) (0, 4)
B) (-3, 0)
C) (-3, -4)
D) (0, -4)

27. Plot the point with coordinates (-4, 3).

2424_Graph of coordinates.jpg

28. Graph 3x + y = 3.

29. Graph y = 4

30. Find the slope of the line passing through the points (0, 2) and (-10, 9).

A.10/7

B.- 10/7

C. 7/10

D. - 7/10

31. Find the slope of the line passing through the points (-2, 2) and (-2, -3).
A) 0
B) 1
C) -5
D) Undefined

32. Find the slope of the graphed line.

2251_Slope of graphed line.jpg

A. 2

B. -2

C. 1/2

D. - 1/2

33. The following pie chart represents the eye color of students in a certain class.

1157_Pie chart color.jpg

What percentage of students in the class had blue or brown eyes?

34. The line graph below shows the number of trees in a certain seaside town.

920_Graph showing trees.jpg

(a) Which year had the fewest trees?

(b) Between which two years did the greatest increase in the number of trees occur?

35. Find the slope and y-intercept.
-9x - 8y = -64

36. Find the slope.
7x + 2y = -11

37. Match the graph with one of the equations.

1156_Graph with one equation.jpg

A. y = - 1/3 x +1
B. y = 1/3 x + 1
C. y = -3x + 1
D. y = 3x + 1

38. A roof rises 2.75 ft over a horizontal distance of 10.69 ft. What is the slope of the roof to the nearest hundredth?

A) 3.89
B) 0.26
C) 1.60
D) 2.77

39.Determine which two equations represent parallel lines.
(a) y = 5x - 10

(b) y = -5x + 10

(c) y = 5x + 5

(d) y =  - 1/5 x - 10

40. Graph the inequality.
     y > 3x

41. Rewrite the equation 2x - 3y = -6 as a function of x

A. ƒ(X) = 2/3 x + 2
B. ƒ(X) = 3/2 x - 3
C. ƒ(X) = 3/2x - 6
D. ƒ(X) = 2/3 x + 6

42. Solve the system by graphing.
x - 2y = 8
x + y = -1

43. Solve the system by addition.
x + y = 1
x - y = 9

44. Solve the system by addition.
     -4x + 5y = 5
      x - 2y = -2

45. The sum of two numbers is 43. The second is 1 more than 2 times the first. What are the two numbers?

46. Solve the following system of linear inequalities by graphing.
x + 2y < 3
2x - 3y < 6

1014_Graph of inequalities.jpg

 

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Algebra: Graphs and algebric problems
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