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1. |
Refer to the graph below. Which statement is not true? |
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A. |
Line a does not intersect the x-axis. |
B. |
Lines a and c appear to intersect at (3, 3). |
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C. |
Lines a and b 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. |
(-5, 2) |
D. |
(-2, 5) |
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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. |
A dependent system has infinitely many solutions. |
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B. |
An inconsistent system has two solutions. |
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C. |
A consistent system has at least one solution. |
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D. |
An independent system has exactly one solution. |
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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. |
There is one solution to this system of equations. |
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B. |
The graphs appear to intersect at one point. |
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C. |
This system of equations is consistent. |
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D. |
This system of equations is dependent. |
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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. |
Use substitution to solve the system x – 3y = 2 and y =  x – . |
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A. |
all ordered pairs |
B. |
(3, 2) |
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C. |
(2, 3) |
D. |
no solution |
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Hint |
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8. |
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: 1.5 servings, low-fat margarine: 3 servings |
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C. |
normal butter: 3 servings, low-fat margarine: 1.5 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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9. |
Use elimination to solve the system  x + 3y = 8 and x + 3y = 10. |
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A. |
(4, 2) |
B. |
(0, 2) |
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C. |
(2, 0) |
D. |
(2, 4) |
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Hint |
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10. |
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. |
58 |
B. |
24 |
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C. |
85 |
D. |
42 |
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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: $4
nighttime: $6 |
B. |
daytime: $5
nighttime: $8 |
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C. |
daytime: $8
nighttime: $5 |
D. |
daytime: $6
nighttime: $4 |
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Hint |
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12. |
Use elimination to solve the system 5x – 4y= 14 and 7x + 3y = 11. |
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A. |
(-2, 1) |
B. |
(-1, 2) |
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C. |
(2, -1) |
D. |
(1, -2) |
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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. |
(3, 5) |
B. |
(-2, 4) |
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C. |
(0, 0) |
D. |
(0, 3) |
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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. |
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C. |
(-1, 0) |
D. |
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Hint |
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