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1. |
Solve the system x + y = 7 and y = 2x + 1. |
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A. |
(1, 6) |
B. |
(6, 1) |
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C. |
(2, 5) |
D. |
(5, 2) |
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Hint |
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2. |
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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3. |
Solve the system of equations x – y = 3 and 2y = 2x – 6. |
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A. |
(0,-3) |
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B. |
The graphs appear to be parallel lines, so there is no solution to the system. |
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C. |
(-3,0) |
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D. |
Each equation has the same graph, so there are infinitely many solutions. |
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Hint |
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4. |
Suppose that in order to use the substitution method for solving a system of equations, you need to solve the equation 2y – x = 7 for x. Which equation is correct in solving this equation for x? |
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A. |
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B. |
x = 2y + 7 |
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C. |
x = 2y - 7 |
D. |
x = -2y + 7 |
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Hint |
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5. |
Solve the system 3x + y = 10 and x + y = 8. |
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A. |
(1, 7) |
B. |
(-1, 7) |
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C. |
(7, 1) |
D. |
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Hint |
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6. |
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. |
x – y = 5 and x + 2y = 13 |
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B. |
–3x + 2y = 8 and –3x – y = –2 |
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C. |
x + y = 14 and x + y = 10 |
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D. |
4x + 5y = 10 and 3x – 2y = 16 |
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Hint |
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7. |
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. |
8 mph |
B. |
2 mph |
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C. |
12 mph |
D. |
10 mph |
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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. |
3 |
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C. |
2 |
D. |
1 |
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Hint |
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9. |
Solve the system of inequalities y > x – 2 and  . Then choose the point that is not a solution of the system. |
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A. |
(0, 0) |
B. |
(0, 2) |
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C. |
(-1, 0) |
D. |
(5, 0) |
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Hint |
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10. |
Greg works two jobs. He works as a lifeguard at the local pool for $6.00 per hour and as a math tutor for $8.00 per hour. He enjoys his job as a lifeguard more than he enjoys his job as a math tutor. He needs to make $152.00 this week working 24 hours. How many hours does he need to work at each job? |
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A. |
lifeguard: 20 hours, math tutor: 4 hours |
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B. |
lifeguard: 16 hours, math tutor: 8 hours |
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C. |
lifeguard: 12 hours, math tutor: 12 hours |
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D. |
no solution |
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Hint |
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11. |
Use substitution to solve the system x = 3y and 3x + y = -20. |
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A. |
(-2, -6) |
B. |
all ordered pairs |
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C. |
(-6, -2) |
D. |
no solution |
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Hint |
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12. |
Miranda has thrown two pizza parties for her friends. At every party her friend Katie give each person a certain number of pieces based on whether the person is an adult or a teen. At the first pizza party, there were 5 adults and 16 teens, and at the second there were 5 adults and 19 teens. If 68 pieces of pizza were eaten at the first party and 77 were eaten at the second, how many pieces of pizza did Katie give adults and teens? |
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A. |
adults: 3 pieces, teens: 4 pieces |
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B. |
adults: 5 pieces, teens: 8 pieces |
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C. |
adults: 4 pieces, teens: 3 pieces |
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D. |
adults: 8 pieces, teens: 5 pieces |
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Hint |
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13. |
How many solutions does the quadratic-linear system have? |
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A. |
0 |
B. |
3 |
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C. |
2 |
D. |
1 |
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Hint |
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14. |
Which system of inequalities describes the graph below? |
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A. |
y  0 and y < 3 – x |
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B. |
y > 0 and y  3 – x |
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C. |
y < 0 and y 3 – x |
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D. |
y 0 and y > 3 – x |
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Hint |
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