TSIA2 Math Review

To divide proper/improper fractions __________.

multiply the first fraction by the reciprocal of the second fraction.

What is the least common multiple (LCM) of 3 and 4?

12

What is the greatest common factor (GCF) of 8 and 12?

4

What is the prime factorization of 72?

2³ × 3²

Prime factorization is _____________.

the process of finding prime numbers multiplied to give you the original number.

What is the prime factorization of 15?

3 × 5

What are the first five multiples of 9?

0, 9, 18, 27, 36

To reduce a fraction to lowest terms ______.

Divide the numerator and denominator by their greatest common factor (GCF).

To determine if two fractions are equivalent _______.

divide the numerator and denominator of one fraction by their shared GCF. If the reduced fraction is the same value as the other fraction, they are equivalent.

To compare proper unlike fractions, _______.

find a common denominator. Multiply the denominators of both fractions by their shared least common multiple, then compared the numerators.

Compare the following fractions.

1/4 < 4/3

To write a mixed number as an improper fraction ________.

Multiply the denominator by the whole number, then add the numerator. Place the sum over the old denominator.

To express a percentage as a decimal or fraction________.

divide the number by 100 or move the point two places to the left

What is 0.75% expressed as a decimal?

0.0075

What is 88% of 2,500?

2,200

What are the decimal places (in order)?

Tenths, Hundredths, Thousandths, Ten Thousandths, Hundred Thousandths, Millionths

What are the place values (in order)?

Hundred millions, Ten millions, Millions, Hundred thousands, Ten thousands, Thousands, Hundreds, Tens, Ones

What is 30,612 rounded to the nearest thousand?

31,000

What is 0.5578 rounded to the nearest tenth?

0.6

To calculate a number to the power of a negative exponent ______.

calculate the value of the same number to the positive exponent and turn it into an inverse fraction (ex. 3 ^-2 is the same as 1/9).

What is the value of 5 ^-3?

1/125

Volume of a rectangular prism

V = l • w • h

Volume of a Cylinder

V = πr²h

Circumference of a Circle

C = 2πr

Area of a Circle

Area = πr²

Area of a Triangle

Area = ½b • h

Area of a Rectangle

Area = l • w

Pythagorean Theorem (finds the side of a right triangle.)

a² + b² = c²

To calculate the mean

add all the values together and then divide the sum by the total count of numbers in the set.

Median

data points arranged in order from smallest to largest to find the middle value

Mode

most frequently occurring number

Range

difference between highest and lowest number

Probability

Probability = favorable outcomes/total outcomes

In the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5). Which of the following is an equation of the line?

y = ½x + 3

For ? = ?? + ?, ? is ______(rise/run), ? is the _______.

slope, y-intercept