ATI TEAS 6 - Math Section

Which of the following is a expression to compare 8.33 and 8 2/3? A. 8.33 > 8 2/3 B. 8 2/3 > 8.33 C. 8.33 = 8 2/3 D. 8 2/3 >_ 8.33 note: >_ is meaning greater than or equal to

B. 8 2/3 is greater than 8.33

Solve this rational using the correct order of operations: 150 / (6 + 3 * 8) - 5 note: evaluate PEMDAS from left to right

0

Convert the fraction into a decimal: 13 --- 50

0.26

Convert the percent to a decimal: 73.7%

0.737

Which of the following is 25% of 680 pounds? A. 1,700 pounds B. 510 pounds C. 68 pounds D. 710 pounds

D. 710 pounds Steps: - multiply .25 by 680 OR - multiply 25 by 680 - divide by 100

Convert the percent to a decimal: 138%

1.38

Convert the fraction into a decimal: 19 --- 10

1.9

Convert the decimal into a fraction: 1.07

107 ---- 100

Which of the following is the correct value of 3 + 2 * 6 - 4? A. 32 B. 10 C. 11 D. 26

11 Steps: 1. multiply 2. add 3. subtract

Solve this rational using the correct order of operations: (12 - 2) / (11 - 6) = ?

2 Steps: 1. solve inside parentheses 2. divide

Solve this rational using the correct order of operations: 36 - 6 ------- 12 + 3

2 note: - first, make sure to solve numerator and denominator separately - then divide the fraction last

List the following in decreasing order: -2, -0.2, 2 (2/10), 2

2 (2/20) 2 -0.2 -2

Convert 24.36% into a simplified fraction.

609/2500 Steps: 1) 24.36/100 2) get rid of the decimal = 2436/10000 3) simplify = 609/2500

Convert 4/5 to a percent

80% 1) divide 4/5 = 0.80 2) 80/100

Which of the following fractions is equivalent to 83.1%? A. 831 / 1000 B. 83.1 / 10 C. 831 / 10 D. 0.831

831 / 1000 Steps: - turn percent into decimal (0.831) - count how many places behind decimal (3 = 1000th place) - turn into fraction = answer

While shopping, you find a shirt that is marked 30% off. If the regular price is $45, which of the following is the reduced price? A. $13.50 B. $15 C. $31.50 D. $33.75

A. $13.50 Steps: - Multiply 45 by .30

Rules for TEAS order of operation (PEMDAS) - please note: for the TEAS, the "E" in PEMDAS will not be required. But you will still need to follow all other orders of operation.

1. First perform any calculations inside the parentheses 2. Perform all multiplication and division, completing the operations as they occur from left to right. 3. Perform all addition and subtraction, completing the operations as the occur from left to right.

What do you call the square root of any prime number?

an irrational number

How do you convert a fraction into a decimal?

divide the numerator by the denominator

How do you turn integers into fractions?

by simply writing them over a 1. Example: - the integer 5 = 5/1 - the integer -2 = -2/1 - the integer 100 = 100/1 therefore, these are rational numbers.

How do you define rational numbers?

theses are numbers that we see every day, including decimals and fractions.

Solve: 3x + 5 = 2x + 1

x = -4

Solve: x - 5 = -12

x = -7

Solve: 3x = 10

x = 10/3

Solve: 2 -- X = 4 7

x = 14

Solve: 8 --X = 6 5

x = 15/4

Solve: 5x = 2

x = 2/5

Solve: x - 5 = 32

x = 27

Solve: x + 20 = 100

x = 80

Linear equations

y = mx + b

What does extraneous mean?

irrelevant

How do you convert a percentage to a decimal?

percentage divided by 100

What makes *rational* numbers different from *irrational* numbers?

- Rational numbers can be written as either terminating or repeating numbers. For example, 6 can be written 12/2 or 18/3 - Irrational number *can not* be written in fraction form. For example, the square root of 2 or the number pie converted to a decimal are not terminating or repeating.

Your current salary is $50,000. Next year you will get a 4% increase in your salary. How much more money will you make next year?

$2,000

The ratio between two quantities.

Constant of proportionality

What are the variables and constants in the equation below? 3x - 6 = -5x + 8

Variables: - 3x - (-5x) Constants: - (-6) - 8

How do you solve an equation with variables?

- collect all variable terms on one side of the equal sign - get all constants(numbers) on the opposite site - divide

What is the meaning of a variable in an equation?

- letters of the alphabet - sometimes raised to a power

What is the correct increasing order for -5, 2 , 0.523 5 --- 3

-5 0.523 5 2/3

Solve: x + 7 = -3x

-7/4 = x

Liquid Volume

1 L = 1,000 mL = 1000 cc

How do you convert a decimal to a fraction?

1. count how many places after the decimal - (1.03) would be the 100th place - (1.003) would be the 1000th place 2. take the whole number and put it over the amount of places after the decimal - 103/100 - 1003/1000

Convert the decimal to a percent: 1.22

122%

Solve this rational using the correct order of operations: 9 - 5 / (8 - 3) * 2 + 6 note: evaluate PEMDAS from left to right

13

Solve this rational using the correct order of operations: 4 + 3 * (9 - 6) = ?

13 Steps: 1. solve inside parentheses 2. multiply 3. add

Solve this rational using the correct order of operations: 3 + 6 * (5 + 4) + 3 - 7 note: evaluate PEMDAS from left to right

14

Which of the following percentages is equivalent to 8/5? A. 1.6% B. 160% C. 0.625 D. 62.5%

160% Steps: - turn the fraction into a decimal - multiply the decimal by 100 = answer

Solve this rational using the correct order of operations: 6 x 5 + 4 / 2 - 2 x 5

22 Steps: 1. multiply and divide from left to right 2. add and subtract from left to right

Convert the decimal to a percent: 0.384

38.4%

Solve this rational using the correct order of operations: 30 - 3 * 2 ----------- 18 - 24 / 2

4 Steps: 1. simplify the numerator 2. simplify the denominator 3. divide

The success rate for a salesperson is 1 out of 8 calls. At this rate, how many sales would the salesperson expect to get out of 32 calls?

4 calls

Which of the following estimates the answer to 418.6 * 3.879 --------------- 53.7

419 * 4 -------- 54

Micah spends 17 hours in a 2 week period practicing piano. At this rate, how many hours will he practice in 5 weeks?

42.5 hours Steps: - 17 divided by 2 = 8.5 hours per week - multiply 8.5 by 5

A company found an average of 5 defective televisions for every 1,000 checked. If the company produced 85,000 televisions in 1 year, how many of them would be expected to be defective?

425 tv's

Which of the following is the correct value of 15 + 2 * 5 ---------- 11 - 24 / 4 A. 21 B. 5 C. aprox. 9.9

5 Steps: 1. simplify numerator 2. simplify denominator 3. divide

Convert the fraction into a decimal: 5 2/7

5.2875

Convert the decimal into a fraction: 0.516

516 ----- 1000

How do you convert a decimal to a percent?

decimal x 100 = ____%

What does erroneous mean?

incorrect

What does this mean in a word problem - Sum

to add

What does this mean in a word problem - Quotient

to divide

What does this mean in a word problem - Product

to multiply

What does this mean in a word problem - Difference

to subtract