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1. |
Solve the system of equations by graphing. y = 6 y = x + 2 |
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A. |
(6, 8) |
B. |
(4, 6) |
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C. |
(2, 4) |
D. |
(6, 4) |
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Hint |
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2. |
Refer to the graph below. Which statement is not true for the system of equations? |
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A. |
This system is inconsistent. |
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B. |
This system is consistent. |
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C. |
The graphs appear to be parallel lines. |
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D. |
There is no solution to this system of equations. |
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Hint |
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3. |
Suppose that you solve a system of equations by using the substitution method. After you substitute an expression for y from the first equation into the second equation, you get the statement 2 = 2. This means that _____. |
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A. |
the system has infinitely many solutions |
B. |
the solution to the system is (0, 2) |
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C. |
the system has no solutions |
D. |
the solution to the system is (2, 2) |
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Hint |
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4. |
Solve the system y = x – 1 and 3x – y = 7. |
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A. |
(3, 2) |
B. |
(2, 3) |
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C. |
(2, 1) |
D. |
(-3, -2) |
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Hint |
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5. |
One algebraic method for solving systems of equations is called elimination. It is called the elimination method because you try to eliminate _____. |
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A. |
the negative values for x |
B. |
one of the equations |
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C. |
all of the coefficients |
D. |
one of the variables |
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Hint |
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6. |
Select the system of equations in which you should use subtraction to eliminate one of the variables. |
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A. |
–5y + x = 12 and 5y + 2x = 16 |
B. |
x + y = 1 and 4x – y = 9 |
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C. |
4y – 3x = 10 and y + 3x = 15 |
D. |
2x + y = 10 and 2x – 3y = 7 |
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Hint |
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7. |
How many solutions can a quadratic–linear system of equations have? |
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A. |
none, 1, or 2 |
B. |
none or 1 |
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C. |
1, 2, or 3 |
D. |
1 or 2 |
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Hint |
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8. |
Demothi wants to make sure to get enough protein by eating 19 high protein items every week. The items he has to choose from are soymilk, 8 grams of protein, a peanut butter sandwich, 16 grams of protein, and hash browns, 4.5 grams of protein. If he wants to get 202 grams of protein from these items and eat 4 servings of hash browns, how many of each item does he need to eat? |
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A. |
s = 7, p = 8 |
B. |
s = 11, p = 4 |
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C. |
s = 4, p = 11 |
D. |
s = 8, p = 7 |
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Hint |
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9. |
Katrina has $50 and makes $6 per hour. Kevin has $30 and makes $1 every ten minutes. If neither of them spends any money and they work the same hours, will Katrina and Kevin ever have the same amount of money? |
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A. |
They will always have the same amount of money. |
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B. |
Katrina will always have more money. |
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C. |
Kevin will always have more money |
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D. |
Eventually they will have the same amount of money. |
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Hint |
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10. |
Use elimination to solve 4x – 3y = 3 and x + y = 0. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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11. |
Use elimination to solve the system 5x – 4y= 14 and 7x + 3y = 11. |
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A. |
(-2, 1) |
B. |
(1, -2) |
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C. |
(2, -1) |
D. |
(-1, 2) |
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Hint |
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12. |
Refer to the graph. What is (are) the solution(s) to the system? |
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A. |
(-1, 3) |
B. |
(-1, 3) and (3, -1) |
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C. |
(3, -1) |
D. |
no intersections |
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Hint |
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13. |
Solve the system of inequalities y = 2x and y x + 1. Then choose the point that is not a solution of the system. |
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A. |
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B. |
(-1, 0) |
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C. |
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D. |
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Hint |
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14. |
Solve the system of inequalities y 2x – 3 and y 2x + 2 by graphing. Identify the correct graph. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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