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ACT Practice #2

Total questions: 35

Worksheet time: 3hrs 55mins

Name
Class
Date
1.

The height and length of a base of one parallelogram are both twice those of the other parallelogram. Find the ratio of the areas of these parallelograms.

a)

1/2

b)

2/1

c)

1/4

d)

4/1

2.
What is a Proportion?
a)
A Proportion is a number
b)
It is Ratio
c)
It is two Ratios with an equal sign in the middle of the two.
3.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
SSS
c)
ASA
d)
HL
4.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SSS
b)
ASA
c)
AAS
d)
SAS
5.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
6.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
7.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
8.
y = - 2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
9.
Which line is parallel to
y = 2x - 7  ?
a)
y = -2x + 8
b)
y = 1/2x - 7 
c)
y = -1/2x + 2
d)
y = 2x - 3 
10.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
11.
Which of the following signs represents the absolute value?
a)
|   a   |
b)
a*
c)
a!
d)
√a
12.

What is the smallest integer greater than (-5.7)2?

a)

-32

b)

32

c)

33

d)

-33

13.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

14.
Using the graph solve the equation
-x2-2x+3=-5.
a)
{-3,-1}
b)
{-2,0}
c)
{-4,2}
d)
{-1,4}
15.
Standard form of a quadratic equation
a)
y=x²
b)
y=ax²+bx+c
c)
y=mx+b
d)
y=x
16.

Solve.

x2 - 4x = 5

a)

11 and -7

b)

1 and 3

c)

1.73 and -1.73

d)

5 and -1

17.
Evaluate using the quotient rule: 
a)
a8b13
b)
a2b7
c)
a15b30
18.
True or False?
a)
True
b)
False
19.

Simplify:

a)

3k9

b)

k/3

c)

k/6

d)

6k

20.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
21.

Identify the quadrant where the point is located. (10 , -5)

a)

I

b)

II

c)

III

d)

IV

22.

Which quadrants contain x and y coordinates that are the same in sign?

a)

Q1 only

b)

Q1 and Q3

c)

Q2 and Q4

d)

Q 3 only

23.

The start up cost to join eTunes music is $7.95. The variable costs are $0.95 per song downloaded. Write a linear equation that could be used to find how many songs he downloaded.

a)

y = 0.95x + 7.95

b)

y = 7.95x + 0.95

c)

y = 0.95x - 7.95

d)

y = - 0.95x + 7.95

24.

The start up cost to join eTunes music is $7.95. The variable costs are $0.95 per song downloaded. If Will spent $26, write and solve a linear equation to find how many songs he downloaded.

a)

32 songs

b)

33 songs

c)

19 songs

d)

36 songs

25.
Find missing side
a)
5
b)
7
c)
9
d)
11
26.

One property of similar triangles is that corresponding angles of two similar triangles are congruent. What is the second property of similar triangles?

a)

Corresponding sides are congruent

b)

Corresponding sides are unrelated

c)

Corresponding sides are equal

d)

Corresponding sides are equally proportional

27.

Find the PERIMETER of the large triangle.

a)

the perimeter is 24 units

b)

the perimeter is 36 units

c)

the perimeter is 32 units

d)

the perimeter is 28 units

28.
How many total outfit options are represented?
a)
12
b)
22
c)
3
29.
Which of the following situations is represented by this tree diagram?
a)
3 shirt options, 6 pants options, and 12 shoe options
b)
3 shirt options, 2 pants options, and 2 shoe options
c)
2 shirt options, 3 pants options, and 1 shoe option
30.

Max is ordering a salad for lunch. He can choose one of chicken, tofu, hard-boiled eggs, or turkey to have on the salad. He can also pick one vegetable topping. The vegetable choices are sprouts, tomatoes, or olives. How many different combinations can Max create?

a)

7 combinations

b)

12 combinations

c)

3 combinations

d)

4 combinations

31.

A cylinder has a radius of 2 inches and a height of 9 inches. A larger cylinder has a radius triple that of the smaller one. What is the approximate volume of the larger cylinder, if it has the same height?

a)

170 in.3

b)

1,033 in.3

c)

917 in.3

d)

1,018 in.3

32.
What is the formula used to find the volume of a rectangular prism?
a)
V = Lw
b)
V = Lwh
c)
V = 1/2bh
d)
V = 2∏r
33.

How do you solve for the volume of a cube with edge length 5?

a)

5 + 5 + 5

b)

53

c)

52

34.

A formula used to compute the current value of a savings account is A = P(1+r)n, where A is the current value; P is the amount deposited; r is the rate of interest for 1 compounding period, expressed as a decimal; and n is the number of compounding periods.


Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded yearly, which of these values is closest to the value of his savings account after 15 years?

a)

$1,584.62

b)

$2,651.39

c)

$2,663.90

d)

$1,825.10

35.

Bob needed a start up balance of $150 to open a savings account and saves $40 per month. He incorrectly wrote an equation to represent his amount saved as:


y = 150m + 40


Which answer best describes why his equation is incorrect?

a)

The start up amount is a one time deposit and should not be multiplied by a variable

b)

Both amounts should be multiplied by a variable because they are both related to the amount deposited each month

c)

The start up amount is a one time deposit and should not be multiplied by a variable. "Per" means to multiply; so, $40 per month translates to $40m