ACT Math Fundamentals

Concepts

100

What do you when a question asks for the "reciprocal"?

Turn it upside down

200

When converting from percents to decimals, we...

Remove the percent sign and move the decimal 2 to the left 

ex: 20% = 0.2

300

What is the order of operations? 

Hint: PEMDAS

Parentheses Exponent Multiply Divide Add Subtract

400

What is the difference between rational and irrational numbers?

Rational numbers can be written as a fraction, irrational numbers cannot

500

When solving inequalities, if you multiply or divide by a negative number you must remember to...

Flip the sign

Practice Q's

100

If m is the least prime number and n is the least positive integer multiple of 12, what is the difference between n and m? 

10 

m = 2

n = 12

200

What is the largest value of a for which there exists a real value of b such that a² + b² = 529 

A. 19

B. 23

C. 506

D. 529 

B. 23

300

(x²y⁵)²(x^-1y⁴)^-2 = ?

x⁶y²

400

If │x + 9│= 24, what are all the possible values for x?

15 and -33 

500

(4x - 4)² = ? 

A. 16x² - 32x + 16

B. 16x² - 16x - 32

C. 16x² + 16 

D. 4x² - 16

E. 2x - 2

A. 

Multiply out or Plug In!

ACT Q's

100

What is the least common denominator of the fractions 9/14, 2/5, and 6/7 ? 

A. 28  B. 35  C. 70  D. 98  E. 490

C. 70

200

What is the value of g(-3) given g(x) = 4x² - 3x + 9?

54

300

What is the solution to the equation below? 

4(y - 2) - 3(y - 6) = 7(-y - 4) + 8

A. 15/4   B. 3/4   C. 0   D. -15/4   E. -21/4 

D. -15/4

400

If 16 + 4y = 64, then 3y = ?

A. 12   B. 20   C. 36   D. 48   E. 54

C. 36

500

The functions h and j are defined as h(x) = 4x - 3 and j(x) = 5x + 1.  What is the value of h(j(-3)) ?

F. -74   G. -59   H. -15   J. -14   K. 61

G = -59

Strange Ones

100

(-2)³ = 

-8

200

9⁰ = 

1

300

For the equation: 

(x² - 7x + 12) / (x - 3) = 0

What value of x would give an undefined answer?

X = 3

Undefined is whenever there is a 0 in the denominator 

400

16^1/4 = ?

2

500

What type of number would you get as an answer to √(-3) x √(2) ?

Imaginary Number

Ms. Nizami Trivia

100

Where did Ms. Nizami graduate from college?

Clemson University

200

What City is Ms. Nizami from?

Florence, SC (Hyderabad, India)

300

How old was Ms. Nizami when she moved to the US?

10 years old

400

What was Ms. Nizami's major in college?

Secondary Education and Math

500

How many siblings does Ms. Nizami have?

2 sisters