10 Algebra 2 Questions

Question

Question 11

The math team sold 42 hamburger meals and 15 ribs meals at the pep rally for a total of $243. At the game that night they sold 36 hamburger meals and 30 ribs meals for a total of $294. What is the cost of 1 rib meal?
Choose one answer.
A. $1
B. $3
C. $4
D. $5

 

Question 12

Solve the following system of equations.

2x - 3y + z = -1
2x - 2y - 2z = -8
x + 5y - 3z = 2
Choose one answer.
A. (1, 1, 0)
B. (-1, 2, 8)
C. (1, 2, 3)
D. (1, 5, -3)

 

Question 13

A bus has traveled 210 miles, and continues at a rate of 50 miles per hour. A van has driven 170 miles, and continues at a rate of 60 miles per hour. In how many hours will the two vehicles have traveled the same distance?
Choose one answer.
A. 3
B. 4
C. 5
D. 6

 

Question 14

Which point is a solution to the following system of inequalities?

4x + 3y < 12
2x - 5y > 10
Choose one answer.
A. (2, 5)
B. (1, -3)
C. (-2, 5)
D. (-1, 2)

 

Question 15

Which system of inequalities is graphed below?

A graph shows two lines that intersect in the first quadrant. Shading below a solid line that passes through (2, 0) and (-2, -10). Shading above a solid line that passes through (0, -3) and (two-thirds, 0).</div>


<div class= Choose one answer.
A. 5x - 2y < 10
2x - y > 3
B. 5x - 2y less than or greater to 10
2x - y greater than or equal to 3
C. 5x - 2y > 10
2x - y < 3
D. 5x - 2y greater than or equal to 10
2x - y less than or greater to 3

 

Question 16

What is the degree of the polynomial 2h5 + 3h4 + h2 - 3?
Choose one answer.
A. 2
B. 3
C. 4
D. 5

 

Question 17

Simplify (7a2 - 11a - 9) + (13a2 + 21a - 3)
Choose one answer.
A. 20a2 - 32a - 12
B. 20a2 + 10a - 12
C. 20a2 - 32a - 6
D. 20a2 + 10a - 6

 

Question 18

Simplify 2c3(3c3 - 4c2 - 5c + 1)
Choose one answer.
A. 5c3 - 2c2 - 3c + 3
B. 5c6 - 2c5 - 3c4 + 3c3
C. 6c3 - 8c - 10c + 2
D. 6c6 - 8c5 - 10c4 + 2c3

 

Question 19

Simplify. (x - 4)(x2 + 3x - 1)
Choose one answer.
A. x3 - x2 + 11x + 4
B. x3 - x2 - 13x + 4
C. x3 + 7x2 + 11x + 4
D. x3 + 7x2 - 13x + 4

 

Question 20

Factor completely. 9x2 - 4
Choose one answer.
A. (2x - 3)(2x - 3)
B. (2x - 3)(2x + 3)
C. (3x - 2)(3x - 2)
D. (3x - 2)(3x + 2)

 

Question 21

Which expression is a factor of 3ab - 6a + 4b - 8?
Choose one answer.
A. 4b - 2
B. 3a + 4
C. 3b - 4b
D. 3ab - 2

Answer 1

Answer to question 11

 

Suppose the value of hamburger is $ X and rib is $y

 

42 X + 15 Y = 243    and  36 X + 30 Y = 294  To solve this we have to make either X or Y value in both equation same.To make that I will multiply first equation with 2,so it will become 84 X + 30 Y = 486.Now subtract second equation from first,we will get 48 X = 192 ,  X = 4 so the value of hamburger is $4.Now to find out rib value,put the value of hamburger in first equation..42 X 4 +15 Y = 243  so 168 + 15 Y = 243    15 Y = 243 - 168      15 Y = 75  Y = 5

 

So the value of 1 rib = $ 5