Name:



name: _______________________ date: _________ countdown: ___________ score: _______

EOC Practice: Set 21

1. Which is the y-intercept of the line that has slope –1 and passes through (5, –3)?

|a. |–8 |c. |2 |

|b. |–2 |d. |8 |

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2. The length a spring will stretch varies directly as the weight attached to the spring. If the spring stretches 1.6 inches when a 24-pound weight is attached, how far will it stretch when a 15-pound weight is attached?

|a. |3.9 inches |c. |2.25 inches |

|b. |2.56 inches |d. |1 inch |

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systems of equations/inequalities scatter plots quadratics

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3. Which is equivalent to [pic] for a ≠ 0, b ≠ 0?

|a. |9a5b2 |c. |9a12b4 |

|b. |9a17b12 |d. |[pic] |

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systems of equations/inequalities scatter plots quadratics

direct variation matrices

4. Which are the zeros of the function y = 2x2 + x – 6?

|a. |–1 and 5 |c. |–2 and [pic] |

|b. |–5 and [pic] |d. |2 and [pic] |

question type: polynomials ║ ┴ lines linear equations factoring formulas

systems of equations/inequalities scatter plots quadratics

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5. Aretha is stacking wood at her mountain cabin. She begins with a row of 20 logs on the bottom layer. Each layer contains one log less than the layer below it. How many logs are in the pile? The formula for the sum of a series of consecutive integers beginning with 1 is [pic](n + 1).

|a. |210 logs |c. |190 logs |

|b. |209 logs |d. |189 logs |

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systems of equations/inequalities scatter plots quadratics

direct variation matrices

name: _______________________ date: _________ countdown: ___________ score: _______

EOC Practice: Set 22

1. Shondra is investigating whether there is a linear relationship between the heights of the players on her basketball team and the average number of points scored per game last season. Her data are shown in the table. Which conclusion best describes the data?

|Height (cm) |Points |

|178 |9 |

|180 |15 |

|179 |12 |

|185 |3 |

|177 |6 |

|181 |9 |

|173 |6 |

|175 |6 |

|a. |A linear model predicts about 3 additional points scored for each centimeter gain in height. |

|b. |There is a strong positive correlation between height and points scored. |

|c. |There is a strong negative correlation between height and points scored. |

|d. |There is little correlation between height and points scored. |

question type: polynomials ║ ┴ lines linear equations factoring formulas

systems of equations/inequalities scatter plots quadratics

direct variation matrices

2. Which is an equation of the line that passes through (–3, 2) and is perpendicular to the graph of y = 3x – 2?

|a. |y = –3x – 7 |c. |y = [pic]x + 3 |

|b. |y = [pic]x + 1 |d. |y = [pic]x + 3 |

question type: polynomials ║ ┴ lines linear equations factoring formulas

systems of equations/inequalities scatter plots quadratics

direct variation matrices

3. What is the greatest common factor of the terms of 24p5q3z2 – 18p4qz3?

|a. |6p4qz2 |c. |6p5q3z3 |

|b. |9p4q3z2 |d. |72p5q3z3 |

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systems of equations/inequalities scatter plots quadratics

direct variation matrices

4. The resistance R of a wire varies directly as its length L. If the constant of proportionality between R and L is 0.007, what is the ratio of the resistance of a 20-foot wire to its length?

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

question type: polynomials ║ ┴ lines linear equations factoring formulas

systems of equations/inequalities scatter plots quadratics

direct variation matrices

5. Which system of equations has no solution?

|a. |2x – 3y = 12 |

| |6x + 5y = –4 |

|b. |x – 6y = 24 |

| |2x + 12y = 48 |

|c. |5x + 2y = –4 |

| |–10x – 4y = 8 |

|d. |x + 4y = 5 |

| |7x + 28y = 42 |

question type: polynomials ║ ┴ lines linear equations factoring formulas

systems of equations/inequalities scatter plots quadratics

direct variation matrices

name: _______________________ date: _________ countdown: ___________ score: _______

EOC Practice: Set 23

1. For which values of x is the function y = –x2 + 10x – 21 decreasing?

|a. |x > 5 |c. |x < 7 |

|b. |x > 4 |d. |x < 3 |

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systems of equations/inequalities scatter plots quadratics

direct variation matrices

Use the following information to answer questions 2 and 3.

Manuel has $1500 saved for a motorcycle. He plans to make deposits to his savings account for the motorcycle each month. The graph illustrates how his savings will increase.

[pic]

2. What is the slope of the line that contains the points on the graph?

|a. |–750 |c. |750 |

|b. |150 |d. |1,500 |

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systems of equations/inequalities scatter plots quadratics

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3. What does the slope of the line represent?

|a. |the increase in price of the motorcycle |

|b. |the number of months Manuel will save for the motorcycle |

|c. |the difference between the cost of the motorcycle and the amount Manuel has saved |

|d. |the amount Manuel will save each month |

question type: polynomials ║ ┴ lines linear equations factoring formulas

systems of equations/inequalities scatter plots quadratics

direct variation matrices

4. Which is an example of a direct variation equation?

|a. |y = 6x + 4 |c. |s = hm |

|b. |s = a + cp |d. |T = [pic] |

question type: polynomials ║ ┴ lines linear equations factoring formulas

systems of equations/inequalities scatter plots quadratics

direct variation matrices

5. Which formula is equivalent to E = 0.238I2Rt?

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

question type: polynomials ║ ┴ lines linear equations factoring formulas

systems of equations/inequalities scatter plots quadratics

direct variation matrices

name: _______________________ date: _________ countdown: ___________ score: _______

EOC Practice: Set 24

1. The solution of which system of inequalities is graphed?

[pic]

|a. |y < 3x – 1 |

| |y < –2x + 3 |

|b. |y < 3x – 1 |

| |y > –2x + 3 |

|c. |y > 3x – 1 |

| |y < –2x + 3 |

|d. |y > 3x – 1 |

| |y > –2x + 3 |

question type: polynomials ║ ┴ lines linear equations factoring formulas

systems of equations/inequalities scatter plots quadratics

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2. If [pic], which statement is true?

|a. |C + D = E |c. |2C = F |

|b. |CD = F |d. |2D + E = F |

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systems of equations/inequalities scatter plots quadratics

direct variation matrices

3. A city planner in Gastonia wants to build a rectangular playground at a park. If 2x2 + 5x + 2 represents the area of the playground and 2x + 1 represents the length, which represents the width of the playground?

|a. |x + 1 |c. |4x3 + 12x2 + 9x + 2 |

|b. |x + 2 |d. |2x + 1 |

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systems of equations/inequalities scatter plots quadratics

direct variation matrices

4. The volume V of a cone with radius r and height h is equal to [pic]πr2h. How much ice cream can be packed into a super-size ice cream cone with a diameter of [pic] inches and a height of 4 inches? Round your answer to the nearest cubic inch.

|a. |13 cubic inches |c. |51 cubic inches |

|b. |22 cubic inches |d. |180 cubic inches |

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systems of equations/inequalities scatter plots quadratics

direct variation matrices

5. For which value of x does [pic]?

|a. |4 |c. |[pic] |

|b. |[pic] |d. |–4 |

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systems of equations/inequalities scatter plots quadratics

direct variation matrices

name: _______________________ date: _________ countdown: ___________ score: _______

EOC Practice: Set 25

1. Simplify 5y – 8z – (z + 3y) + 5(y – 2z).

|a. |7y – 19z |c. |7y – 11z |

|b. |13y – 19z |d. |13y – 11z |

question type: polynomials ║ ┴ lines linear equations factoring formulas

systems of equations/inequalities scatter plots quadratics

direct variation matrices

2. Which equation describes the relationship shown by the set of ordered pairs

{(–3, 17), (–2, 12), (1, –3), (4, –18), (5, –23)}?

|a. |y = 5x – 2 |c. |y = –5x – 2 |

|b. |y = 2 – 5x |d. |y = 5x + 2 |

question type: polynomials ║ ┴ lines linear equations factoring formulas

systems of equations/inequalities scatter plots quadratics

direct variation matrices

3. Which point is not a solution of the system of inequalities?

y > x + 3

y < 3x – 1

|a. |(3, 7) |c. |(9, 15) |

|b. |(0, 4) |d. |(16, 45) |

question type: polynomials ║ ┴ lines linear equations factoring formulas

systems of equations/inequalities scatter plots quadratics

direct variation matrices

Use the following information to answer questions 4 and 5.

Mr. Panitsas owns 2 fleets of boats that he charters for fishing trips, whale watching, and sail boating. The table shows his income from the two fleets for the past week.

|Fleet 1 |Half Day |Full Day |Fleet 2 |Half Day |Full Day |

|Fishing |$520 |$995 |Fishing |$868 |$1,403 |

|Whale Watching |$284 |$178 |Whale Watching |$320 |$240 |

|Sailing |$582 |$720 |Sailing |$658 |$840 |

4. Which matrix shows the total income from both fleets?

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

question type: polynomials ║ ┴ lines linear equations factoring formulas

systems of equations/inequalities scatter plots quadratics

direct variation matrices

5. Mr. Panitsas wants to know how much more income Fleet 2 earned than Fleet 1. Which matrix shows the difference in income between the fleets?

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

question type: polynomials ║ ┴ lines linear equations factoring formulas

systems of equations/inequalities scatter plots quadratics

direct variation matrices

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