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1. |
Refer to the graph below. Which statement is not true? |
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A. |
Lines a and b appear to intersect at (3, 3). |
B. |
Line a does not intersect the x-axis. |
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C. |
Lines a and c appear to intersect at (3, 3). |
D. |
Lines b and c appear to intersect at (1, 2). |
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Hint |
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2. |
Solve the system x = 2 and y 5 = 0. |
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A. |
(-5, 2) |
B. |
(2, -5) |
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C. |
(-2, 5) |
D. |
(5, -2) |
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Hint |
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3. |
Refer to the graph below. Which statement is not true for the system of equations? |
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A. |
The graphs appear to be parallel lines. |
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B. |
This system is inconsistent. |
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C. |
This system is consistent. |
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D. |
There is no solution to this system of equations. |
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Hint |
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4. |
Solve the system x + 3y = 10 and 2x y = 1. |
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A. |
(-3, -2) |
B. |
(1, 3) |
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C. |
(3, 1) |
D. |
(-2, -3) |
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Hint |
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5. |
Two tour boats travel from the mainland to an island 100 miles from shore. The first boat leaves at 8 a.m. and travels at a speed of 20 miles per hour. The second boat leaves at 9 a.m. and travels at a speed of 30 miles per hour. When will the second tour boat pass the first tour boat? |
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A. |
11 A.M. |
B. |
1 P.M. |
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C. |
noon |
D. |
10 A.M. |
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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. |
one of the equations |
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C. |
the negative values for x |
D. |
all of the coefficients |
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Hint |
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7. |
Select the system of equations in which both equations will need to be multiplied by some number in order to be solved by the elimination method. |
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A. |
3x + 2y = 8 and 3x y = 2 |
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B. |
4x + 5y = 10 and 3x 2y = 16 |
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C. |
x y = 5 and x + 2y = 13 |
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D. |
x + y = 14 and x + y = 10 |
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Hint |
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8. |
How many solutions does the system y = x2 and y = 3x 5 have? |
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A. |
none |
B. |
1 |
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C. |
2 |
D. |
3 |
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Hint |
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9. |
Solve the system of inequalities and y > 2x + 1 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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10. |
State whether the graph is consistent and independent, consistent and dependent, or inconsistent. |
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A. |
none of the these |
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B. |
consistent and independent |
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C. |
independent |
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D. |
consistent and dependent |
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Hint |
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11. |
The sum of the digits of a two-digit number is 13. If the tens digit is 3 more than the units digit, what is the number? |
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A. |
24 |
B. |
42 |
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C. |
58 |
D. |
85 |
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Hint |
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12. |
Mike is paddling a sailboat at the same speed upstream and downstream. If it takes Mike 15 minutes to paddle a quarter of a mile upstream to his favorite reading spot and 5 minutes to paddle back home. How fast does Mike paddle? |
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A. |
1 mph |
B. |
2 mph |
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C. |
3 mph |
D. |
1.5 mph |
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Hint |
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13. |
How many solutions does the quadratic-linear system have? |
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A. |
3 |
B. |
2 |
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C. |
1 |
D. |
0 |
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Hint |
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14. |
Which point is a solution of the system of inequalities shown in the graph below? |
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A. |
(0, 3) |
B. |
(-2, 4) |
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C. |
(3, 5) |
D. |
(0, 0) |
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Hint |
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