ACT Calculator (Casio)

Abs. Value = Shift + Hyp

Multiple Choice

-|-6| - |-18|

• 24

• 12

• -12

• -24

Multiple Choice

Solve |x – 12| - 3 = 11.

• -2, -26

• -2, 26

• 3, 25

• 4, -7

Multiple Choice

Evaluate each expression.
| x + 9 | = -5

• -14

• -4

• {-14, -4}

• no solution

Rational Exponents

Multiple Choice

Simplify the expression:
27^1/3

• 3

• 9

• 27

• 3³

Multiple Choice

Simplify  $$8^{\frac{5}{3}}$$  

• 2

• 16

• 64

• 32

Logarithms

Multiple Choice

log₅(25) = y

• y = 2

• y = 0.5

• y = 5

• y = (1/2)

Multiple Choice

Write as one logarithm. Simplify, if possible.
log₃9 + log₃27

• -1

• 5

• 4

• 1

Multiple Choice

Evaluate:
log₄16

• 2

• 4

• 1/2

• -2

LCM/GCF

Find the LCM of 10, 18, and 24

LCM(10, LCM (18, 24))

Multiple Choice

Is this question asking to find GCF or LCM?

• GCF

• LCM

Multiple Choice

Is this question asking to find GCF or LCM?

• GCF

• LCM

Multiple Choice

 Find the GCF of each set of numbers. 
28, 42, 56

• 14

• 4

• 7

• 8

Multiple Choice

Find the LCM of each set of numbers. 
5, 10, 15 

• 50

• 30

• 90

• 150

Multiple Choice

Avery gets newsletters by e-mail. He gets one for sports every 5 days, one for model railroads every 10 days, and one for music every 8 days. If he got all three today, how many more days will it be until he gets all three newsletters on the same day again? 

• 80 days

• 40 days

• 50 days

• 60 days

Factorial

Complex Numbers

Multiple Choice

(3+2i)(2-i)=

• 8+i

• 8-i

• 4+i

• 4-i

Multiple Choice

(3+4i) + (-2+5i)=

• 1-i

• 1+9i

• 5+9i

• -1+9i

Multiple Choice

Simplify.

Matrices

Matrices

Matrices

Matrices

Multiple Choice

Find the determinant of the matrix

• A

• B

• C

• D

Multiple Choice

Solve for the determinant of the following matrix:  
⌈12  −3⌉
⌊−6  15⌋
*detA= ad-bc

• 198

• 162

• -333

• -9

Multiple Choice

Evaluate m² + 12q if m = 5 and q = -3

• 10

• -25

• -11

• 13

Multiple Choice

If f(x) = 2x + 1, find f(1).

• f(1) = 1

• f(1) = 4

• f(1) = 0

• f(1) = 3

Multiple Choice

• 16

• 48

• -28

• 4

Multiple Choice

Given the graph, 

find:

$$f\left(7\right)$$  

• $$f\left(7\right)=3$$  

• $$f\left(7\right)=1$$  

• $$f\left(7\right)=2$$  

• $$f\left(7\right)=0$$  

Multiple Choice

Given the graph, 

find:

$$f\left(6\right)$$  

• $$f\left(6\right)=3$$  

• $$f\left(6\right)=1$$  

• $$f\left(6\right)=2$$  

• $$f\left(6\right)=0$$  

Multiple Choice

The following formula is for the area of :
A=πr²

• Square

• Cylinder

• Circle

• Triangular Prism

Multiple Choice

Area of a trapezoid:

• A=½bh

• A=½b₁h

• A=½(b₁+b₂)h

• A=πd

Multiple Choice

The following formula is for the area of:
A=½bh

• Rectangle

• Circle

• Triangle

• Trapezoid

Multiple Choice

Circumference of a Circle

• C=πr²

• C=2πr

• C=2π

Multiple Choice

What formula is this?

• midpoint

• slope

• distance

• average

Multiple Choice

What is the correct slope-intercept form?

• y = mx + b

• y = mb + x

• y = x

• y = -mx + b

Multiple Choice

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

Multiple Choice

How is the distance formula correctly written:

• $$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$$

• $$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}$$

• $$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)^2}$$

• d = $$\sqrt{\left(x\right)^2-\ \left(y\right)^2}$$

Multiple Choice

What is Perimeter?

• The amount of space inside a shape

• The distance around the shape

• The amount of space inside a shape divided by two

• Half the distance around a shape

Multiple Choice

Which one is the easy way to remember trigonometric ratios?

• Sah Coh Toa

• Soh Cah Toa

• Soh Cah Tao

• Soh Ceh Toa

Multiple Choice

If you are given the opposite side and hypotenuse, which trig function should you use?

• sine

• cosine

• tangent

• cotangent

Multiple Choice

Identify the trig function:

$$\frac{adj\ }{hyp}$$  

• sec

• sin

• cot

• cos