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TAKS Practice Test (problems: 1 - 60)

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Practice Test Problem List
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Problem 1

Mr. Zeta invested $3000 in a savings account at an annual rate of 5%, and another amount, $x, in a stock fund which earned 7% in the first year.

Which equation describes y, the total amount of interest earned from both investments during the first year?

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Problem 2

A political rally is organized by a group of 100 people. In addition to this core group, a number of buses bring people from outlying areas to attend to the rally. Each bus has 30 seats, and does not travel unless it is full. The number of people at the rally can be expressed by the function

,

where c is the number of buses.

Which is the dependent quantity in this functional relationship?

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Problem 3

The graph shows the solution for which inequality?

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Problem 4

Which type of parent function is represented by the function graphed below?

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Problem 5

Which inequality best describes the domain of the function represented by this graph?

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Problem 6

In 2006, the population of Thailand was about 15,000,000 less than half the population of Brazil. If x represents the population of Brazil, which expression can be used to determine the population of Thailand?

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Problem 7

What is the value of f(x) = x2 + 3x – 5 when x = –3?

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Problem 8

Simplify the algebraic expression

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Problem 9

Find the slope of the line identified by the equation 3x + 8y = 10.

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Problem 10

Which function represents the line that contains the point (3, –2) and has a slope of –6?

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Problem 11

The line represented by the equation is graphed below.

Which of the following best describes the effect on the graph when the slope is halved?

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Problem 12

What is the y-intercept of the line represented by the equation

6x – 3y = 4?

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Problem 13

The amount of plastic waste generated in the United States varies directly with the number of people who produce it. In 2002, it was estimated that on average, every 90 Americans used 10 tons of plastic. How much plastic was used by the entire population of 288,000,000 Americans that year?

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Problem 14

Boris took hour to ride his bicycle from home to work. He rode an average of 15 miles per hour on a bike path until he got to the downtown area, where traffic slowed him down to 3 miles per hour.

If x is the number of hours Boris rode on the bike path, which equation can be used to find y, the number of miles from his home to his workplace?

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Problem 15

The temperature in Celsius can be found from the temperature in Fahrenheit using the formula

If the temperature in Laredo on a particular day varied from 59F to 86F, then the temperature in Celsius varied from—

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Problem 16

At a snack shop, Rhonda wants to sell a trail mix using x pounds of assorted nuts and y pounds of dried berries. The assorted nuts sell for $4.50 per pound and the dried berries sell for $6.00 per pound. If she wants to make 50 pounds of the mixture and sell it for $5.50 per pound, which system of equations can she use to find the number of pounds of each ingredient to use?

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Problem 17

The equations of two lines are

Which of the following describes their point of intersection?

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Problem 18

What is the effect on the graph of the equation when the equation is changed to y = 3x2?

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Problem 19

What is the effect on the graph of the equation y = x2 + 5 when the equation is changed to y = x2 – 5?

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Problem 20

The graph of y = 7x2 + c is a parabola with two distinct x-intercepts. Which of the following is true about the value of c?

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Problem 21

Which of the following tessellations uses only translations of the basic polygon?

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Problem 22

A waterski ramp is in the shape of a right triangle with height 1.8 m, and rises from the water at a constant 30angle of inclination. What is the length of the sloped side of the ramp?

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Problem 23

In right triangle PQR, the interior angle P measures 20. The measures of the three interior angles of ΔPQR are—

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Problem 24

Trapezoid WXYZ is graphed on the coordinate grid below.

Which set of coordinates represents the vertices of a trapezoid congruent to trapezoid WXYZ?

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Problem 25

Which of the following nets can be used to represent the triangular prism shown?

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Problem 26

The top, side, and front views of an object built with cubes are shown below.

How many cubes are needed to construct this object?

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Problem 27

If M(3, 5) is the midpoint of and N(5, –1) is the midpoint of , what are the coordinates of Q?

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Problem 28

The vertices of parallelogram LKMN are L(0, 0), K(5, 12), M(35, 12), and N(30, 0). Find the length of the longer diagonal of parallelogram LKMN.

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Problem 29

The angle opposite the longest side of a scalene triangle measures 70. Which of the following could be the measures of the other two angles?

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Problem 30

Which of the options gives the front view of the 3-dimensional figure shown?

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Problem 31

How many cubes are necessary to build the 3-dimensional figure with the top, front, and side views shown?

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Problem 32

Two perpendicular lines have the equations and y = mx + 2. What is the value of m in the second linear equation?

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Problem 33

A radius of a circle has endpoints C(–3, –2) and D(4, 1). Find the approximate length of a diameter of the circle.

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Problem 34

A rectangle is defined by the vertices A(2, 8), B(35, 8), C(35, 64), D(2, 64). Find the length of diagonal .

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Problem 35

A circular farm is divided into 8 sectors of equal size. 3 of the sectors are planted with peanuts. If the circumference of the farm is 300 ft, what is the approximate area planted with peanuts?

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Problem 36

What is the area of the figure shown?

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Problem 37

The test scores in a math class were 34, 50, 68, 72, 81, 84, 86, 88, 90, 91, and 92.

Which measure of the data is represented by the score 84?

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Problem 38

Which function represents the line that contains the point (3, –2) and (–3, 7)?

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Problem 39

What is the value of when x = 16?

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Problem 40

Two parallel lines have the equations y = 3x + 1 and ax – 2y = 0. What is the value of a in the second linear equation?

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Problem 41

The endpoints of the diameter of a circle are P(–1, 7) and Q(3, –5). Find the coordinates of the center of the circle.

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Problem 42

Subashini has a spinner with 10 equal sections colored either black or white. If the spinner lands on white on 17 out of 60 spins, which is most likely the number of white sections on the spinner?

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Problem 43

Which expression best represents the area of the regular hexagon shown?

[Area = (apothem)(perimeter)]

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Problem 44

If the area of the square shown is 169 square units, what is the value of c?

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Problem 45

What 3–dimensional figure is represented by the net shown?

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Problem 46

Joey bought an electric guitar for $289.00. The total cost including sales tax was $312.84. What was the sales tax rate to the nearest hundredth of a percent?

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