Free Printable Unit 4 ACT Practice (Algebra 2)

1.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

2.

Subtract

a)

3 -8
0 -1

b)

3 -4
8 -13

c)

-3 8
0 1

d)

3 -8
-8 1

3.

What do w, x, y and z equal in this matrix subtraction?

a)

w = 13, x = 4, y = 7, z = 23

b)

w = 13, x = -4, y = 11, z = 23

c)

w = 13, x = 4, y = 11, z = 23

d)

w = 13, x = 4, y = 11, z = 17

4.

What do m, n, p and q equal in this scalar matrix multiplication?

a)

m=8, n=9, p=-4, q=4

b)

m=15, n = -45, p=20, q=-5

c)

m=20, n=-5, p=15, q=-45

d)

m=-5, n=20, p=-45, q=15

5.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

6.

Perform the indicated operation. If it’s not possible, select Not Possible.

a)

7
-7
-6
20

b)

7
-9
-6
20

c)

Not Possible

d)

7
-9
2
20

7.

find: B*A

a)

47 30
9 5

b)

17 15
42 35

c)

10 25
7 1

d)

not possible because rows do not match columns

8.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The dimensions must be equal.

c)

The determinant can't equal 0.

d)

The column of the 1st must equal the row of the 2nd.

9.

You can multiply a 2X3 matrix by which matrix?

a)

2X2

b)

2X12

c)

3X12

d)

2X3

10.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

11.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10⁴

c)

5 x 10^-3

d)

.5 x 10³

12.

How would you write -5.6 x 10^-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

13.

Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.

a)

True

b)

False

14.

Multiply:
(9.4 x 10⁶)(3.2 x 10⁵)

a)

30.08 x 10¹¹

b)

3.8 x 10¹

c)

3.008 x 10¹²

d)

2.9375 x 10¹

15.

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

a)

3 x 10¹⁰

b)

3 x 10⁴

c)

3 x 10^-4

d)

3 x 10^-11

16.

$365^0=$

a)

0

b)

1

c)

365

d)

$\frac{1}{365}$

17.

$m^2\cdot m^6\cdot m=$

a)

$m^8$

b)

$m^{12}$

c)

$m^4$

d)

$m^9$

18.

Simplify: $\left(2a^3b^4c^3\right)^2\cdot\left(4a^2bc^3\right)$

a)

$16a^8b^9c^9$

b)

$8a^8b^9c^9$

c)

$8a^6b^5c^6$

d)

$16a^5b^5c^6$

19.

a)

b)

2x²z⁴

c)

3x²y⁵z⁴

d)

20.

a)

$\frac{27x^{15}z^3}{y^6}$

b)

$\frac{9x^{15}z^3}{y^6}$

c)

$27x^8yz^4$

d)

$\frac{27x^8z^4}{y}$

21.

a)

b)

c)

d)

22.

$\frac{\left(2m^3n^2\right)^02m^3n^{-3}}{n^3}$

Simplify so there are no negative exponents in the answer.

a)

$\frac{2m^3}{n^{6^{ }}}$

b)

$2m^3$

c)

$4m^6n^2$

d)

$2m^6n^2$

23.

Write the following expression in radical form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

24.

a)

5x^5/4

b)

5x^-5/4

c)

(5x)^-5/4

d)

(5x)^-4/5

25.

a)

A

b)

C

c)

B

d)

D

26.

Simplify
(6^3/4)^1/3

a)

6^1/4

b)

6^3/12

c)

6^4/7

d)

6^9/12

27.

Which of these numbers is an integer?

a)

4.2

b)

4

c)

-4.2

d)

4/3

28.

Are irrational numbers real numbers?

a)

Always

b)

Sometimes

c)

Never

29.

Which categories does the number 3.7 belong to?

a)

Real numbers

b)

Rational numbers

c)

Integers

d)

Whole numbers

e)

Natural numbers

30.

How would you classify the number zero?

a)

Rational number

b)

Integer

c)

Whole number

d)

Natural number

31.

Which of the following is NOT a natural number?

a)

12

b)

3,000

c)

5

d)

0

32.

Select all: Which are characteristics of any Rational Number?

a)

Can be written as a fraction

b)

Cannot have a decimal

c)

A type of real number

d)

Includes every number on the number line

33.

Pi is an example of which type of number?

a)

Irrational number

b)

Natural number

c)

Unnatural number

d)

Fraction

34.

Put the equation in slope-intercept form:
2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

35.

Which is the graph of y=-x+2?

a)

A

b)

B

c)

C

d)

D

36.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

37.

What is the slope of this line?

a)

m = 0

b)

m = undefined

c)

m = 3

d)

m = ¹/₃

38.

Determine the slope between
(4,2) and (-3,5).

a)

3/1

b)

-7/3

c)

3/7

d)

-3/7

39.

What is the equation of the line that has a slope of 5 and goes through the point (2,7)?

a)

y = 5x + 3

b)

y = 1/5x - 3

c)

y = 1/5x + 3

d)

y = 5x - 3

40.

What is the formula for Point-Slope Form?

a)

y - y₁ = m(x - x₁)

b)

y = mx + b

c)

y + y₁ = m(x + x₁)

d)

y = mx - b

41.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

42.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

43.

Solve for r.

a)

A

b)

B

c)

C

d)

D

44.

pV = nRT
solve for R

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

45.

a)

h=V/(3πr²)

b)

h=(3V)/(πr²)

c)

h=V/(3πr²)

d)

h=(3π)/(Vr²)

46.

Evaluate f(-2) if f(x) = x²+ 3

a)

-1

b)

1

c)

7

d)

-7

47.

Given f(x)=5x-2 and g(x)=x², find f(2)+g(7)

a)

8

b)

57

c)

49

d)

-41

Unit 4 ACT Practice (Algebra 2)

Total questions: 47

Worksheet time: 2hrs 52mins

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