Math test english 5 docx

Basic trigonometric ratios, graphs, identities, and equations are covered in this section.. Remember, the ACT Math Test is different from all the other tests in that each math question c

Basic trigonometric ratios, graphs, identities, and equations are covered in this section

B ASIC T RIGONOMETRIC R ATIOS

sin A = hy o p p o p t o es n it u e se opposite refers to the length of the leg opposite angle A.

cos A = hy a p d o ja tec n en u t se adjacent refers to the length of the leg adjacent to angle A.

tan A = a o d p j p a oc s e i n te t

T RIGONOMETRIC I DENTITIES

sin2x + cos2x = 1

tan x = csionsx x

sin 2x = 2sin x cos x

cos 2x = cos2x − sin2x

tan 2x = 12−tatannx2x

 P r a c t i c e Q u e s t i o n s

Directions

After reading each question, solve each problem, and then choose the best answer from the choices given

(Remember, the ACT Math Test is different from all the other tests in that each math question contains five

answer choices.) When you are taking the official ACT, make sure you carefully fill in the appropriate bub-ble on the answer document

You may use a calculator for any problem, but many problems are done more quickly and easily with-out one

Unless directions tell you otherwise, assume the following:

■ figures may not be drawn to scale

■ geometric figures lie in a plane

■ “line” refers to a straight line

■ “average” refers to the arithmetic mean

Remember, the questions get harder as the test goes on You may want to consider this fact as you pace yourself

1 How is five hundred twelve and sixteen thousandths written in decimal form?

a 512.016

b 512.16

c 512,160

d 51.216

e 512.0016

2 413− 134= ?

f 2172

g 3152

h 323

i 2152

j 118

3 Simplify |3 − 11| + 4 × 23

a 24

b 40

c 96

d 520

e 32

4 The ratio of boys to girls in a kindergarten class is 4 to 5 If there are 18 students in the class, how

many are boys?

f 9

g 8

h 10

i 7

j 12

5 What is the median of 0.024, 0.008, 0.1, 0.024, 0.095, and 0.3?

a 0.119

b 0.095

c 0.0595

6 Which of the following is NOT the graph of a function?

f.

g.

h.

i.

j.

7 4.6 × 105= ?

a 4.60000

b 0.000046

c 4,600,000

d 460,000

e 0.0000046

8 What is the value of x5for x = 3?

f 15

g 243

h 125

i. 53

j 1.6

9 What is the next number in the pattern below?

0, 3, 8, 15, 24,

a 35

b 33

c 36

d 41

e 37

10 What is the prime factorization of 84?

f 42 × 2

g 7 × 2 × 3

h 22× 3 × 7

i 2 × 6 × 7

j 23× 7

11 Find the slope of the line 7x = 3y − 9.

a 3

b −9

c. 73

d −3

12 The perimeter of a rectangle is 20 cm If the width is 4 cm, find the length of the rectangle.

f 6 cm

g 16 cm

h 5 cm

i 12 cm

j 24 cm

13 Find the area of the figure below.

a 79 square inches

b 91 square inches

c 70 square inches

d 64 square inches

e 58 square inches

14 Five cans of tomatoes cost $6.50 At this rate, how much will 9 cans of tomatoes cost?

f $13.00

g $11.70

h $1.30

i $11.90

j $12.40

15 For all x ≠ 0,32x+ 15= ?

a. 125x

b.1105++3x x

c. 101+5x3x

d.152+ x

e. 51x

10 in

7 in

16 Which inequality best represents the graph below?

f −1.5 > x > −1

g x ≤ 0

h −0.5 > x > 0

i −1.5 < x < 0

j −1.5 ≤ x ≤ 0

17 Simplify −(6x4y3)2

a −36x6y5

b 36x2y

c −36x8y6

d 36x8y4

e −36xy

18 If 2x + 3y = 55 and 4x = y + 47, find x − y.

f 28

g 16

h 5

i 12

j 24

19 Which inequality represents the graph below?

a −4x < 0

b −20x > 5

c x < −4

d −x ≤ −4

e −x < 4

20 Simplify 3 16x.5y4

f 2xy3 2x2y

g 8x2y

h 8xy3 2

−4 0 4

−2

−3 −1 0 1