Buena Park Junior High Advanced Algebra Math

If two lines are parallel, how should they be classified? A: Consistent, No solution B: Incontinent, no solution C: Inconsistent, no solution D: Conceited, no solution

C: Inconsistent, no solution

Solve: and classify by graphing: X + Y = 6 3X - 4Y = 4 A: (2, 4) consistent, independent B: (4, 2) inconsistent, independent C: (4, 2) consistent, dependent D: (4,2) consistent, independent

D) (4, 2) consistent, independent

Solve by substitution: y = 3x - 12 2x + 3y = -3 (3, -3) A: B: ( -3, 3) ( 0, -1) C: D: (6, 6)

Transitive Property A: (3, -3)

Solve by elimination: 2x - 5y = 1 3x - 4y = -2 ( -1, -2) ( -2, -1) Infinite number of solutions No solution C: D:

A: ( -2, -1)

What are the vertices of this system? (0,0), (2,0), (3, 1), (4, 0) A: (0, 0), (4,0), (3, 1), (0, 4) B: C: (0, 0), (2, 0), (0, 4), (3, 1) D: (0, 0), (2, 0), (1, 3), (0, 4)

C: (0, 0), (2, 0), (0, 4), (3, 1)

Write a system of equations for the following: The sum of two numbers is 7. Four times the first number is one more than five times the second. x + y = 7 4x = 5y + 1 x + y = 7 4x + 1 = 5y A: B: x + y = 7 5x = 4y + 1 x + y = 7 4x = 5y - 1 C: D:

A: x + y = 7 4x = 5y + 1

If a system is consistent dependent, what can be said about the graph of the system? A: They are parallel lines B: They will intersect in one point C: The lines are coincidental D: They consistently need each other.

C: The lines are coincidental

Misha has a 2500 meter spool of rope that he must cut into 50 meter and 75 meter lengths for his rock climbing class. Write an inequality that will express the possible numbers of each length he can cut from this spool of rope. 50x + 75y  2500 A: B: 50x + 75y ≤ 2500 C: 2500/50x ≤ 75y D: 50x ≥ 2500 - 75y

B: 50x + 75y ≤ 2500

A company produces windows and doors. A profit of $5 is realized on each window, an $3 on each door. The company has 18 hours available for manufacturing at plant A where it takes 3 hours for each window and 2 hours for each door. Plant B has 7.5 hours available for assembly where it takes 1.5 hours for each window, and .75 hours for each door. Write the constraints for this problem. X ≥ 0 Y ≥ 0 3x + 1.5 y ≤ 18 2x + .75y ≤ 7.5 X ≥ 0 Y ≥ 0 3x + 2y ≤ 18 1.5x + .75y ≤ 7.5 A: B: X ≥ 0 Y ≥ 0 5x + 3 y ≤ 18 2x + 1.5y ≤ 7.5 C: D: You must be kidding me.

B: X ≥ 0 Y ≥ 0 3x + 2y ≤ 18 1.5x + .75y ≤ 7.5

How many solutions does this system have? 2x - 3y = 11 6x - 9y = 33 A: B: 1 C: 2 D: Infinite

D: Infinite

Solve for x. A: X =2c -b +a B: X= 2c + b/a C: X = (2c + b)/a D: Huh???

C: X = (2c + b)/a

Solve: 6(x - 4) ≥ 6 + x A: X ≤ 6 B: X ≥ 6 X = 6 C: X  6 D:

B: X ≥ 6

Describes what transformations on y = x? A slide of 2 up, 3 left, and a vertical stretch by a factor of 5. A slide of 2 up, 3 right and a vertical stretch by a factor of 5 A: B: A slide of 2 up, 3 right and a vertical compression by a factor of 1/5. A slide of 2 up, 3 right and a vertical stretch by a factor of 1/5 C: D:

A slide of 2 up, 3 right and a vertical stretch by a factor of 5

If a feasible region has its vertices at ( -2, 0), (3, 3), (6, 2) and ( 5, 1), what is the maximum given this objective function. P = 3x + 2.5y The maximum is 23 The maximum is 25 A: B: The maximum is 27 The minimum is -6 C: D:

A: The maximum is 23

A ticket office sells reserved tickets and general admission tickets to a rock concert. The auditorium normally holds no more than 5000 people. There can be no more than 3000 reserved tickets and no more than 4000 general admission tickets sold. Write a system of inequalities to represent the possible combinations of reserved tickets and general admission tickets that can be sold. X + y ≤ 5000 X ≤ 3000 Y ≤ 4000 X ≥ 0 Y ≥ 0 A: B: X + y ≤ 5000 X ≤ 3000 Y ≤ 4000 X + y ≥ 5000 X ≥ 3000 Y ≤ 4000 X ≥ 0 Y ≥ 0 X + y ≤ 5000 X ≤ 3000 Y ≤ 4000 X ≤ 0 Y ≥ 0 C: D:

A: X + y ≤ 5000 X ≤ 3000 Y ≤ 4000 X ≥ 0 Y ≥ 0

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