Free Printable ACT Review 1A

1.

For which of the following conditions will the sum of integers m and n always be an odd integer?

a)

m is an odd integer

b)

n is an odd integer

c)

m and n are both odd integers

d)

m and n are both even integers

e)

m is an odd integer and n is an even integer

2.

In parallelogram ABCD shown here, $\overline{AC}$ is a diagonal, the measure of $\angle ABC$ is 40˚, and the measure of $\angle ACD$ is 57˚. What is the measure of $\angle CAD?$

a)

40˚

b)

57˚

c)

77˚

d)

83˚

e)

97˚

3.

For what value of x is the equation $2^{\left(2x+7\right)}=2^{15}$ true?

a)

2

b)

4

c)

11

d)

16

e)

44

4.

A wallet containing 5 five dollar bills, 7 ten dollar bills, and 8 twenty dollar bills is found and returned to its owner. The wallet's owner will reward the finder with 1 bill drawn randomly from the wallet. What is the probability that the bill drawn will be a twenty dollar bill?

a)

$\frac{1}{20}$

b)

$\frac{4}{51}$

c)

$\frac{1}{8}$

d)

$\frac{2}{5}$

e)

$\frac{2}{3}$

5.

Let the function f be defined as f(x) = 5x² - 7(4x+3). What is the value of f(3)

a)

-18

b)

-26

c)

-33

d)

-60

e)

-75

6.

What is the sum of the solutions of the 2 equations below?

8x = 12

2x + 10 = 22

a)

$2\frac{2}{5}$

b)

$7\ \frac{1}{2}$

c)

9

d)

10

e)

$17\frac{1}{2}$

7.

In Cherokee County, the fine for speeding is $17 for each mile per hour the driver is traveling over the posted speed limit. In Cherokee County,Kirk was fined $221 for speeding on a road with posted speed limit of 30mph. Kirk was fined for traveling at what speed in miles per hour?

a)

13

b)

17

c)

43

d)

47

e)

60

8.

a)

-18

b)

-2

c)

0

d)

2

e)

18

9.

What is the slope of the line through (-2, 1) and (2, -5) in the standard (x, y) coordinate plane?

a)

$\frac{3}{2}$

b)

1

c)

-1

d)

$-\ \frac{3}{2}$

e)

-4

10.

$When\ x\ =\ \frac{1}{2},\ what\ is\ the\ value\ of\ \frac{8x-3}{x}$

a)

$\frac{1}{2}$

b)

2

c)

$\frac{5}{2}$

d)

5

e)

10

11.

In the standard (x, y) coordinate plane, what is the midpoint of the line segment that has endpoints (3, 8) and (1, -4)

a)

(-2, 12)

b)

(-1, -6)

c)

$\left(\frac{11}{2},\ -\frac{3}{2}\right)$

d)

(2, 2)

e)

(4, -12)

12.

The average of 5 distinct scores has the same value as the median of the 5 scores. The sum of the 5 scores is 420 What is the sum of the 4 scores that are not the median?

a)

315

b)

320

c)

336

d)

350

e)

360

13.

The ABC Book Club charges a $40 monthly fee, plus $2 per book read in that month. The Easy Book Club charges a $35 monthly fee, plus $3 per book read in that month. For each club, how many books must be read in 1 month for the total charges from each club to be equal?

a)

1

b)

4

c)

5

d)

6

e)

75

14.

The 35 member History Club is meeting to choose a student government representative. The members decide that the representative, who will be chosen at random, CANNOT be any of the 3 officers of the club. What is the probability that Hiroko, who is a member of the club but NOT an officer, will be chosen?

a)

0

b)

$\frac{4}{35}$

c)

$\frac{1}{35}$

d)

$\frac{1}{3}$

e)

$\frac{1}{32}$

15.

In the standard (x, y) coordinate plane, what is the slope of the line given by the equation 4x = 7y + 5

a)

$-\frac{4}{7}$

b)

$\frac{4}{7}$

c)

$\frac{7}{4}$

d)

4

e)

7

ACT Review 1A

Total questions: 15

Worksheet time: 21mins

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