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1. |
Refer to the graph below. These two lines appear to intersect at _____. |
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A. |
(-2, 1) |
B. |
(-1, -2) |
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C. |
(-2, 1) |
D. |
(-2, -1) |
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Hint |
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2. |
Solve the system x + y = 7 and y = 2x + 1. |
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A. |
(6, 1) |
B. |
(2, 5) |
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C. |
(1, 6) |
D. |
(5, 2) |
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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. |
Refer to the graph below. Which statement is not true for the system of equations? |
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A. |
This system is inconsistent. |
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B. |
This system is consistent. |
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C. |
The graphs appear to be parallel lines. |
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D. |
There is no solution to this system of equations. |
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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. |
(2, 1) |
B. |
(-3, -2) |
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C. |
(3, 2) |
D. |
(2, 3) |
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Hint |
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6. |
The sum of the digits of a two–digit number is 7. If the tens digit is 1 more than the units digit, what is the number? |
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A. |
34 |
B. |
43 |
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C. |
25 |
D. |
52 |
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Hint |
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7. |
Solve the system 3x + y = 11 and x – 2y = –1. |
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A. |
(2, 3) |
B. |
(4, 1) |
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C. |
(3, 2) |
D. |
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Hint |
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8. |
Solve the system 3x – 7y = 9 and 4x + 2y = 12. |
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A. |
(-3, 0) |
B. |
(0, -3) |
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C. |
(3, 0) |
D. |
(0, 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. |
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: 0.5 servings, low-fat margarine: 4 servings |
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B. |
normal butter: 3 servings, low-fat margarine: 1.5 servings |
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C. |
normal butter: 1.5 servings, low-fat margarine: 3 servings |
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D. |
normal butter: 4 servings, low-fat margarine: 0.5 servings |
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Hint |
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11. |
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: 8 pieces, teens: 5 pieces |
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D. |
adults: 4 pieces, teens: 3 pieces |
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Hint |
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12. |
Refer to the graph. What is (are) the solution(s) to the system? |
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A. |
no intersections |
B. |
(-1, 3) |
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C. |
(3, -1) |
D. |
(-1, 3) and (3, -1) |
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Hint |
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13. |
Solve the system y = 2x2 – x – 3 and y =  . |
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A. |
(0, -3) |
B. |
(2, 3) |
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C. |
no solution |
D. |
(0, -3) and (2, 3) |
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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. |
(3, 5) |
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C. |
(-2, 4) |
D. |
(0, 0) |
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Hint |
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