GRADE 10 MATHEMATICS

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Class: ______. 1. 10th Grade TAKS Practice Test 1. 10th Grade TAKS Practice Test 1. Multiple Choice. Identify the choice that best completes the statement or ...
STUDENT NAME:_________________________________________

GRADE 10 MATHEMATICS

Administered October 2009

Name: __________________________________

Class: ________

10th Grade TAKS Practice Test 1 Multiple Choice Identify the choice that best completes the statement or answers the question. 1 The sides of squares can be used to form triangles. The areas of the squares that form right triangles have

a special relationship.

Using the dimensions of the squares shown below, determine which set of squares will form a right triangle.

A

C

B

D

1 10th Grade TAKS Practice Test 1

2 Jake studies the parabola shown below.

Which is an accurate conclusion that Jake could make about this parabola? F G H J

The vertex is at (–2, 0). The minimum value is at (0, –4). The maximum value is at (2, 0). The axis of symmetry is the x-axis.

3 Simplify the expression 3(x + 1) – 2(3x + 7). A B C D

–3x – 11 –3x – 10 –3x – 8 –3x + 17

2 10th Grade TAKS Practice Test 1

4 The drawing shows a view of a building.

6 Which equation best represents the area, A, of

the rectangle below?

Which drawing best represents the top view of this building?

F G H J

A = 2x + 2(x + c) A = x2 + (x + c)2 A = x(x + c) A = 2x(x + c)

F 7 Use the Pythagorean Theorem to find the

figure that is a right triangle.

G

A H B J C

5 The world’s fastest flying insect is the

dragonfly. It can fly 36 miles per hour. If a dragonfly flew in a straight path at this rate, what distance would it fly in 15 minutes? A B C D

D

2 mi 9 mi 25 mi 540 mi

3 10th Grade TAKS Practice Test 1

8 What is m, the slope of the line that contains the points (2, 0), (0, 3), and (4, –3)?

F G H J

3 2 2 m= 3 m=

2 3 3 m=− 2 m=−

9 Mitch wants to use 40 feet of fencing to

10 Greta and her friends are having lunch at Joe’s

enclose a flower garden. Which of these shapes would use all the fencing and enclose the largest area? A B C D

Diner. The total cost of their lunch, including tax, is $54.63. Greta and her friends have $65.00 altogether and want to leave a tip equal to 15% of the total bill. Is $65.00 enough to cover the cost of their lunch and the 15% tip for the server?

A rectangle with a length of 8 feet and a width of 12 feet An isosceles right triangle with a side length of about 12 feet A circle with a radius of about 5.6 feet A square with a side length of 10 feet

F G H J

4 10th Grade TAKS Practice Test 1

No, they need $0.56 more. No, they need $3.29 more. Yes, and they have $2.18 left over. Yes, they have the exact amount.

11 Which equation best describes the relationship between x and y in this table?

x –4 –1 2 5 A B C D

y –11 –2 7 16

1 3 1 y= x–1 3

y= x+1

y = 3x – 1 y = 3x + 1

12 Which of the following describes the line

14 Vicki works as a salesclerk in a clothing store.

containing the points (0, 4) and (3, –2)? F G H J

She earns $10 per hour plus a commission of 6% of her total sales. Which equation represents e, her total earnings when she works h hours and sells a total of d dollars in merchandise?

y = −2x + 4 1 y = x+6 2 y = 2x + 4 1 y = − x+6 2

F G H J

13 A blueprint of a house plan uses a scale in

which ¼ inch equals 1 foot. If the length of one side of the house is 65 feet, how many inches will the length be on the blueprint? A

4 in.

B

16 in.

C D

1 4 1 65 in. 4

260 in.

5 10th Grade TAKS Practice Test 1

e = 10h + 0.06d e = 10h + 0.6d e = 6h + 10d e = 0.06h + 10d

15 Triangle RST is translated so that R is mapped

to R ' .

Which set of ordered pairs best identifies points S ' and T ' ? A B C D

S ' (8, 3), T ' (3, 8) S ' (4, 3), T ' (9, 8) S ' (10, –1), T ' (12, –9) S ' (10, 3), T ' (5, 4)

6 10th Grade TAKS Practice Test 1

16 The graph shows the path of a golf ball.

What is the range of this function? F G H J

0 < y < 100 0 < y < 100 0