Fun Math
vickii
fun_math.docx1. Consider the following system of equations.
y = 2x - 2
y - 2x = 7
What can you conclude about the system of equations?
A. The system of equations is inconsistent
B. The system of equations is dependent
C. The system of equations is independent
D. none of these
2. Identify the solution(s) of the system of equations, if any.
-2x - 2y = 2
2y = -2x - 2
A. No solution
B. (0, -1)
C. (-1, 0)
D. Infinitely many solutions
3. Identify the solution(s) of the system of equations, if any.
x + 3y = 7
3x - 3y = 1
A. (2, 3/5)
B. 2, 5/3)
C. (3/5, 2)
D. (5/3, 2)
E.
4. Identify the solution(s) of the system of equations, if any.
6x + 4y = 13
y = 5 - 5x
A. (2.5, –0.5)
B. (2.5, 0.5)
C. (–0.5, 2.5)
D. (0.5, 2.5)
5. Identify the solution(s) of the system of equations, if any.
-3x – 4y = 2
8y = -6x - 4
A. infinitely many solutions
B. ( -16/9 , 5/6)
C. -2/3 , 0)
D. No solution
6. Identify t/he solution(s) of the system of equations, if any.
3x + 2y = 4
5x - 4y = 3
A. (1, 0.5)
B. (0.5, 1)
C. (5, 5.5)
D. (5/11, -2/11)
7. Identify the solution(s) of the system of equations, if any.
A. No solutions
B. (0, 0)
C. (1, 1)
D. Infinitely many solutions
8. Identify the solution(s) of the system of equations, if any.
5x + 2y = 2
4x - 2y = 6
A. (9/8, -29/16)
B. (-4, 11)
C. (8/9, -11/9)
D. (8, -19)
9. Identify the solution(s) of the system of equations, if any.
3x – 2y = 6
5x = 5 – 25y
A. (28/13 , 3/11)
B. (-3/17 , 32/17)
C. (32/17, -3/17)
D. (32/9, 7/3)
10. A system of inequalities is defined by the following formulas.
10x+6y < 30
6x – 10y > 30
Which graph represents its solution?
A .
B.
C.
D.
11. Which of the following graphs best illustrates the relationship between exercise time and total calories burned, as shown in the table below?
|
Exercise Time (minutes) |
Total Calories Burned
|
|
10
12
14
16
18
20
|
37
42
49
58
64
70 |
A.
B.
C.
D.
E.
12. For the figure below, which of the following points would be on the line that passes through points N and P ?
A. (-2, 0)
B. (1, 1)
C. (4, 5)
D. (5, 4)
E. (0, 0)
13. At the school carnival, Carmen sold 3 times as many hot dogs as Shawn. The two of them sold 152 hot dogs altogether. How many hot dogs did Carmen sell?
A. 148
B. 38
C. 51
D. 114
E. 21
14. Two large storage tanks, T and W, contain water. T starts losing water at the same time additional water starts flowing into W. The graph below shows the amount of water in each tank over a period of hours.
Assume that the rates of water loss and water gain continue as shown. At what number of hours will the amount of water in T be equal to the amount of water in W ?
A. 7
B. 9
C. 8
D. 6
E. The amounts of water will never be equivalent.
15. Summary>>>>>What are three important things you learned this week? (Use and explain systems of linear equations by graphing, systems of linear equations algebraically, systems of linear Inequalities, systems of equations and inequalities in real-world application. Show how what you learned is applicable or relevant to your job? (Job- Trucking Company)
16. Is there a way you can show a real world example of a system of linear equations to help reinforce the concepts for others in the class based on the answer below
Answer below>>>>> (A system of linear equations with two variables is written as shown below x+y=8 2x+3y=10
A linear equation is an algebraic equation in which each term is either a constant or a product of a constant and a single variable. To write this system we use the variable x and y. and this does not necessarily have to be x and y. The two equations can be written in slope-intercept form, point slope form or the standard form. Have used the standard form for the equation of a line which is ax+by=c
Therefore in order to write a system we let a, b and c be any constants. Thus I have
x+y=8
2x+3y=10)
