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1. |
Which ordered pair is a solution to the system of equations y = 3x and
y = x + 4? |
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A. |
(2, 6) |
B. |
(-2, -6) |
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C. |
(-6, 2) |
D. |
(6, 2) |
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Hint |
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2. |
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. |
noon |
B. |
10 A.M. |
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C. |
1 P.M. |
D. |
11 A.M. |
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Hint |
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3. |
Solve the system x + y = 7 and x – y = 3. |
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A. |
(5, -2) |
B. |
(5, 2) |
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C. |
(-2, 5) |
D. |
(2, 5) |
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Hint |
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4. |
Solve the system 3x + y = 10 and x + y = 8. |
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A. |
(7, 1) |
B. |
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C. |
(-1, 7) |
D. |
(1, 7) |
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Hint |
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5. |
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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6. |
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 = 8, p = 7 |
B. |
s = 4, p = 11 |
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C. |
s = 7, p = 8 |
D. |
s = 11, p = 4 |
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Hint |
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7. |
State whether the graph is consistent and independent, consistent and dependent, or inconsistent. |
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A. |
consistent and independent |
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B. |
consistent and dependent |
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C. |
none of the these |
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D. |
independent |
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Hint |
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8. |
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 dependent |
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C. |
independent |
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D. |
consistent and independent |
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Hint |
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9. |
Use substitution to solve the system x = 3y and 3x + y = -20. |
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A. |
no solution |
B. |
all ordered pairs |
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C. |
(-6, -2) |
D. |
(-2, -6) |
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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. |
At the local theater daytime movies are a different price than nighttime movies. During one month Dexter went to 3 daytime movies and 4 nighttime movies and spent $47 altogether. Stephanie went to 5 daytime movies and 2 nighttime movies and spent $41 altogether. How much did each movie cost? |
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A. |
daytime: $5
nighttime: $8 |
B. |
daytime: $6
nighttime: $4 |
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C. |
daytime: $4
nighttime: $6 |
D. |
daytime: $8
nighttime: $5 |
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Hint |
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12. |
Solve the system y = 3 and y = -x2 + 3. |
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A. |
(0, 3) |
B. |
(-3, 0) |
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C. |
(0, 3) and (-3, 0) |
D. |
no solution |
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Hint |
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13. |
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. |
It will not hit the ceiling. |
B. |
(7.5, 9) |
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C. |
(5, 9) |
D. |
(5, 9) and (7.5, 9) |
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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. |
(3, 5) |
B. |
(-2, 4) |
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C. |
(0, 3) |
D. |
(0, 0) |
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Hint |
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