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1. |
A system of equations is _____. |
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A. |
a set of two or more equations whose graphs are parallel lines |
B. |
a set of two or more equations |
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C. |
a set of two or more equations whose graphs are perpendicular lines |
D. |
a method for solving equations |
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Hint |
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2. |
Solve the system of equations by graphing.
y = 6
y = x + 2 |
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A. |
(4, 6) |
B. |
(6, 4) |
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C. |
(2, 4) |
D. |
(6, 8) |
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Hint |
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3. |
Select the statement that is not true about systems of linear equations. |
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A. |
An inconsistent system has two solutions. |
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B. |
A consistent system has at least one solution. |
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C. |
An independent system has exactly one solution. |
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D. |
A dependent system has infinitely many solutions. |
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Hint |
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4. |
Which is the correct graph for the system of equations x + y = 4 and
y = x – 2? |
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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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5. |
Solve the system y = x – 1 and 3x – y = 7. |
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A. |
(3, 2) |
B. |
(-3, -2) |
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C. |
(2, 3) |
D. |
(2, 1) |
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Hint |
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6. |
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. |
one of the variables |
B. |
all of the coefficients |
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C. |
one of the equations |
D. |
the negative values for x |
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Hint |
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7. |
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. |
4y – 3x = 10 and
y + 3x = 15 |
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C. |
x + y = 1 and
4x – y = 9 |
D. |
2x + y = 10 and
2x – 3y = 7 |
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Hint |
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8. |
Which is not a method for solving a system of equations? |
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A. |
solving for y |
B. |
elimination |
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C. |
graphing |
D. |
substitution |
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Hint |
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9. |
A boat traveling on the Snake River travels 24 miles upstream in 3 hours. The return trip takes the boat only 2 hours. Find the rate of the boat in still water. |
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A. |
2 mph |
B. |
12 mph |
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C. |
10 mph |
D. |
8 mph |
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Hint |
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10. |
You are making chocolate chip cookies. Normal butter has 12 g of fat per serving and low-fat margarine has 6 g of fat per serving. You need to use 4.5 servings of butter, and you want the final amount of fat in the cookies to be 45 g. How much of each type of butter do you need to use? |
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A. |
normal butter: 4 servings, low-fat margarine: 0.5 servings |
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B. |
normal butter: 0.5 servings, low-fat margarine: 4 servings |
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C. |
normal butter: 1.5 servings, low-fat margarine: 3 servings |
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D. |
normal butter: 3 servings, low-fat margarine: 1.5 servings |
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Hint |
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11. |
Solve the system y = 2x2 – x – 3 and y =  . |
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A. |
(0, -3) and (2, 3) |
B. |
(2, 3) |
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C. |
(0, -3) |
D. |
no solution |
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Hint |
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12. |
Refer to the graph. José is inside the school auditorium that has a 9-foot ceiling. He throws a tennis ball, modeled by the equation
v(h) = -0.16h2 + 2h + 3, with all measurements in feet. Where will the tennis ball hit the ceiling? |
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A. |
(5, 9) and (7.5, 9) |
B. |
It will not hit the ceiling. |
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C. |
(5, 9) |
D. |
(7.5, 9) |
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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. |
(-1, 0) |
B. |
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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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