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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. |
(6, 2) |
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C. |
(-6, 2) |
D. |
(-2, -6) |
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Hint |
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2. |
Solve the system x = –2 and y – 5 = 0. |
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A. |
(-2, 5) |
B. |
(5, -2) |
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C. |
(-5, 2) |
D. |
(2, -5) |
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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. |
Each equation has the same graph, so there are infinitely many solutions. |
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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. |
(0,-3) |
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D. |
(-3,0) |
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Hint |
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4. |
Which is not a method for solving a system of equations? |
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A. |
solving for y |
B. |
substitution |
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C. |
graphing |
D. |
elimination |
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Hint |
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5. |
Refer to the graph. What is (are) the solution(s) to the system? |
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A. |
(2, 1) and (–1, –2) |
B. |
(1, 2) and (–2, –1) |
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C. |
(1, 2) and (–1, –2) |
D. |
(2, 1) and (–1, 2) |
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Hint |
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6. |
Solve the system y = 2x2 – 6 and y = 4x. |
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A. |
(–1, –4), (3, 12) |
B. |
(1, 4), (3, 12) |
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C. |
(1, 4), (–3, –12) |
D. |
(–1, –4), (–3, –12) |
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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. |
none of the these |
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B. |
consistent and independent |
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C. |
consistent and dependent |
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D. |
independent |
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Hint |
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8. |
Use substitution to solve the system x – 3y = 2 and y =  x – . |
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A. |
(2, 3) |
B. |
all ordered pairs |
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C. |
(3, 2) |
D. |
no solution |
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Hint |
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9. |
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: 3 servings, low-fat margarine: 1.5 servings |
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B. |
normal butter: 4 servings, low-fat margarine: 0.5 servings |
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C. |
normal butter: 1.5 servings, low-fat margarine: 3 servings |
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D. |
normal butter: 0.5 servings, low-fat margarine: 4 servings |
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Hint |
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10. |
Use elimination to solve the system 4y + 2x = 10 and y + 2x = 1. |
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A. |
(3, -1) |
B. |
(-3, 1) |
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C. |
(-1, 3) |
D. |
(1, -3) |
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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. |
42 |
B. |
85 |
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C. |
58 |
D. |
24 |
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Hint |
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12. |
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: $8
nighttime: $5 |
B. |
daytime: $6
nighttime: $4 |
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C. |
daytime: $4
nighttime: $6 |
D. |
daytime: $5
nighttime: $8 |
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Hint |
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13. |
Which point is a solution of the system of inequalities shown in the graph below? |
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A. |
(-2, 4) |
B. |
(0, 0) |
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C. |
(0, 3) |
D. |
(3, 5) |
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Hint |
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14. |
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. |
 |
D. |
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Hint |
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