TAKS Grade 9 – 11: Objective #2 – 2006
1. Ronald wants to buy a shirt that is on sale for 15% off the regular price. The regular price of the shirt is p dollars. Which expression represents the sale price of the shirt? (Ab3A)
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A. p – 0.15p
B. p + 0.15p
C. p – 15p
D. 0.15p
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2. Tammy drew a floor plan for her kitchen, as shown below.
Which expression represents the area of Tammy’s kitchen floor in square units? (Ab4A)
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A. 6x2 + 30x + 5
B. 6x2 + 13x + 5
C. 10x + 12
D. 5x + 6
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3. Which graph below represents the linear parent function? (Ab2A)
4. The graph below shows the relationship between the distance in miles a delivery truck traveled and the number of hours each delivery took.
Which best describes the relationship shown on the graph? (Ab2D)
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A. Negative trend
B. Positive trend
C. Constant trend
D. No trend
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5. Look at the graph below.
Which is the best interpretation of this graph? (Ab2C)
A. Jorge earns $20 for each hour worked.
B. For every 10 pieces of candy Stacey buys, she pays $1.
C. For every 10 students at a dance, 2 teachers are needed as chaperones.
D. A runner runs at a constant rate of 2 miles every 30 minutes.
6. Simplify the expression 6 – 3(5x + 2) – 10x. (Ab4B)
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A. -24x
B. 5x + 6
C. 8 – 25x
D. 12 – 25x
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7. Which of these are characteristics of the parent function of a quadratic equation? (Ab2A)
I. The parent function of a quadratic equation has the vertex at (0, 0).
II. The parent function of a quadratic equation opens downward.
III. The parent function of a quadratic equation has the y-axis as its line of symmetry.
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A. I and II only
B. I and III only
C. II and III only
D. I, II, and III
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8. The area of the shaded portion of the rectangle shown below is 400 square feet.
How can the area of the unshaded portion of the rectangle be expressed in terms of x in square feet? (Ab3A)
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A. 440x – 30
B. (30 + x)440
C. (30 – 440)x
D. 30x – 440
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9. The squares below show a pattern.
Which expression can be used to determine the number of squares at stage n? (Ab3B)
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A. 5n – 3
B. 4n – 2
C. 2n2
D. n2 + n
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10. A rectangle has a length of 2x + 1 and a width of 5x – 4. Which expression best describes the area of the rectangle? (Ab4A)
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A. 7x – 3
B. 14x – 6
C. 10x2 – 3x – 4
D. 10x2 + 13x – 4
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11. Simplify the polynomial below. (Ab4B)
-3x(7x – 4) + 6x – (13 – 24x2)
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A. 3x2 + 18x – 13
B. -24x2 – 15x – 17
C. -24x2 + 10x – 17
D. 3x2 + 18x + 13
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12. Mr. Maxwell asked his students to identify the domain represented by the function graphed below.
Which of the following student responses is correct? (Ab2B)
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A. -5 £ x < 6
B. -6 £ x £ 2
C. -5 £ x < -2
D. Not here
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13. The graph below shows the amount of force needed to stretch a certain spring to various distances.
Which of the following best represents the difference between the amount of force in pounds needed to stretch the spring to 10 inches and the amount needed to stretch it to 4 inches? (Ab4A)
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A. 6
B. 14
C. 30
D. 70
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14. A sporting-goods store sold a total of 80 backpacks at the beginning of a new school year. Each backpack sold for either $35 or $50, not including tax. If x represents the number of $35 backpacks the store sold, which expression represents the total amount of money in dollars from the sales of the two kinds of backpacks, not including tax? (Ab3A)
A. 35x + 50(x – 80)
B. 50x + 35(80 – x)
C. 35x + 50(80 – x)
D. 50x + 35(x – 80)
15. Which equation is the parent function of a quadratic equation? (Ab2A)
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A.
B. y = x
C.
D. y = x2
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16. The water level in a creek was at a maximum height after a heavy rain. The water level in the creek receded at a constant rate for several hours until it leveled off to its regular height. Which of the following graphs best represents this information? (Ab2C)
17. Which of the following is equivalent to 2x – 3y ³ 9? (Ab4A)
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A.
B.
C.
D.
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18. The blocks below are arranged in sequence to show a pattern.
Which expression can be used to determine the number of blocks at Stage n? (Ab3B)
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A.
B. (n – 1) + 1
C. 2n
D. n2
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19. The graph of the function is shown on the coordinate grid below.
What is the domain of the function? (Ab2B)
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A. x £ 5
B. x ³-5
C. -5 £ x £ 5
D. 0 £ x £ 5
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20. A physicist determines the kinetic energy of a moving particle by multiplying one-half the particle’s mass, m, by the square of the particle’s velocity, v. The kinetic energy is best represented by—
(Ab3A)
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A.
B. 2mv2
C.
D.
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21. A function is described by the equation y = 2x2 – 5x – 3, in which y is dependent on x. If a value for the independent variable is selected from the set {-4, -1, 0, 2, 5}, which of the following is a corresponding dependent value? (Ab4A)
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A. 9
B. -6
C. -5
D. 0
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22. The graph below shows the relationship between temperature and the density of water.
Which of the following statements best describes this relationship? (Ab2C)
A. The density of water increases as temperature increases between 4°C and 10°C.
B. The density of water decreases as temperature increases between 0°C and 4° C.
C. The density of water decreases as temperature increases between 4°C and 10°C.
D. The density of water remains constant as temperature increases.
23. Brian was 1 out of 25 students who took a practice college entrance exam. No two students scored the same on the exam. If x represents the number of students who scored higher than Brian, which expression represents the number of students who scored lower than Brian? (Ab3A)
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A. 24 – x
B. x – 24
C. 25 – x
D. x – 25
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24. The graph below represents which type of parent function? (Ab2A)
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A. Exponential
B. Absolute value
C. Linear
D. Quadratic
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25. Simplify the algebraic expression .
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A. 5a2b – 2ab2
B. 31a2b – 28ab2
C. a2b + 3ab2
D. 15a2b + 18ab2
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TAKS Grade 9-11: Objective #2 – 2006
Answer Key
1. A
2. B
3. D
4. B
5. B
6. A
7. B
8. D
9. D
10. C
11. A
12. A
13. C
14. C
15. D
16. A
17. B
18. D
19. C
20. A
21. C
22. C
23. A
24. C
25. A
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