Math Practice Qs Flashcards
A _____ is any positive or negative whole number, including 0
integer
A _____ number is a whole number above 1 that is only divisible by 1 and itself
prime
Ex: 3, 19, 31
A ____ number is a whole number above 1 that is divisible by 2 or more factors, so they have factors other than 1 and itself
composite
A _____ number are all integers, fractions, and terminating and repeating decimals
rational
Ex: 0.25, 0.99999
A ________ number is a real number that cannot be written as a fraction
irrational
Ex: Pi, decimals that go on forever without repeating, sq rt of non perfect squares
A ____ number includes all rational and irrational numbers
real
Know the place values from the decimal part and whole part
check slide 9 on math ppt
Based on the number below, identify the Ten Thousands place, Tenths place, and Thousandths place
62,952.825
62,952.825
- Ten Thousands Place: 6
- Tenths Place: 8
- Thousandths Place: 5
Convert the improper fraction into a mixed number. Simplify, if needed.
15/9
1 ⅔
Covert the mixed number into an improper fraction. Simplify, if needed.
2 ²⁄₉
20/9
Convert the decimal to a percent
0.75
75%
Convert the Percent to a Decimal
42.7%
0.427
Convert the Decimal to a Fraction. Simplify, if needed
4.554
= 4554/1000 = 2277/500
Convert the Fraction to a Decimal
37/10
3.7
Use calculator to divide the numerator by the denominator
Convert the Fraction to a Percent
17/20
= 0.85 = 85%
1) Convert to decimal; 2) Move decimal place two places RIGHT
Convert Percent to a Fraction
37.2%
= 0.372 = 372/1000
1) Convert to decimal; 2) Write as fraction
Solve
20 ÷ 4(3 + 2)
20 ÷ 4 x (3+2)
= 20 ÷ 4 x (5)
= 5 x (5)
= 25
PEMDAS
Solve
|12 - 34| + 4 ÷ 2
|12 - 34| + 4 ÷ 2
= |-22| + 4 ÷ 2
= 22 + 4 ÷ 2
= 22 + 2
= 24
PEMDAS
Solve. Write your answer as a decimal
15 - 2³ x 10 / 14 ÷ 2 + 3
Place numerator and denominator in parentheses and divide using the fraction bar LAST
= (15 - 2³ x 10) / (14 ÷ 2 + 3)
Numerator:
- (15 - 2³ x 10)
- (15 - 8 x 10)
- (15 - 80) = -65
Denominator
- (14 ÷ 2 + 3)
- (7 + 3) = 10
Fraction now:
-65/10 = -6.5
PEMDAS
Solve
-7 + - 14
-21
Solve
5 - -20
25
Solve
10 + -15
-5
Solve
-6 - -2
-4
Solve
-3 - 4
-7
Solve:
⅝ + ¼
⅞
Use butterfly method
Solve
⅖ - ⅐
9/35
Use butterfly method
Solve
⅗ x ⅐
3/35
Multiply across the numerator and denominator
Solve
⅗ ÷ ⅐
21/5
Keep, Change, Flip
Solve. Write answer as a mixed number
⅘ ÷ ⅔ x ⁸⁄₉
1 ¹⁄₁₅
PEMDAS. Check on slide 64 on ppt
From this equation, identify the terms, coefficients, constants, and like terms
9x + 7 + 4x
Terms: 9x, 7, 4x
Coefficient: 9, 4
Constant: 7
Like terms: 9x, 4x
Solve:
-5 |6a + 2|= -15
- Isolate to get absolute value on its own
- Since absolute value sign present, there will be two answers. Write two equations and set equal to a + and - product
- Solve as normal
{-⅚, ⅙}
Solve
¾ (x+2) = 3
x = 2
Solve
5 (x-2)² = 125
{-3, 7}
Solve
3 (x-1) - (x+2) = 5
x = 5
Solve
2x² - 9 = 9
x = ± 3
Expand the equation
(x-2) (x-2)
x² - 4x + 4
FOIL or Box method
Solve the inequality
-4x + 9 > 25
x < -4
When x or ÷ by neg # on inequality, flip direction of inequality sign
Do algebra problems on slide 82 of FutureRN ppt
Linda bough a soft drink for $2.37 and 7 candy bars. She spent a total of $37.50. How much did each candy bar cost?
2.37 + 7x = 37.50
x = $5.02
What are the values of x and y?
2x + 5y = 19
4x + 3y = 17
x = 2
y = 3
Check on Nursehub Free practice, slide 50 on pdf
The product of the sum of 7 and one-third an unknown number and 25 is no greater than 100
25 (⅓x + 7) ≤ 100
Know if these key words mean addition, subtraction, multiplication, or division
And
Addition
Know if these key words mean addition, subtraction, multiplication, or division
Sum
Addition
Know if these key words mean addition, subtraction, multiplication, or division
Difference
subtraction
Know if these key words mean addition, subtraction, multiplication, or division
Product
multiplication
Know if these key words mean addition, subtraction, multiplication, or division
Per
multiplication
Know if these key words mean addition, subtraction, multiplication, or division
Quotient
division
In a regional math competition, Alex and Jaime are in the final round, where the winner is determined by the total points scored across several rounds. Jamie has already amassed a score of 400 points. To win the competition, Alex, who currently has 300 points from previous reounds, needs to score more than Jaime’s total by the end of the competition. If each correct answer in the remaining rounds earns Alex 10 points, write an inequality showing how you could solve this
300 + 10x > 400
Janice wants to put 4 inch sqare pavers around a rectangular cement. The cement slab is 8 ft long and 10 ft wide. How many pavers does Janice need to completely surround the sitting area?
112 slabs
A dog needs to take 2mL of medicine three times per day. The bottle contains 150cc of the supplement. How many days will this bottle last?
25 days
The product of the sum of a number and six and the different of a number and six
(n+6) (n-6)
The quotient of 9 increased by a number and the product of 5 and the number
9 + n / 5n
The quotient of a 7 and the difference of a number and 2
7 / x-n
20 is what % of 45?
44.4%
What % of 12 is 27?
225%
30 is 45% of what number?
66.67
What number is 21% of 250?
52.5
An iPhone was sold for $300 at the end of December. By the end of January, the price has risen to $450. What % increase did the price increase by?
50%
N-O/O
An emergency room PT HR dropped 30% to 63bpm. What was the PT heart rate prior to the drop?
90bpm
x - 0.3x = 63
An employee salary increased by $4500, which represents a 15% raise. What is the employees new salary?
$34500
new amount/multiplier
Use front end estimation to estimate $375.25
$400
Convert 1453.88mL to L
1.454L
A PT weight 160 lbs and needs to take medication of 5mg/kg of body mass. If there are 2.2 lbs in 1kg, how many mg of medication will this PT need to take?
363.6mg
There is a ration of 4:5 boys to girls on the swim team. If there are 35 girls on the swim tea, how many boys are on the swim tea?
28 boys
There is a ration of 4:5 boys to girls on the swim team. If there are a total of 99 children are on the swim team, how many of them are boys?
44 boys
In y=kx, which value is the constant of proportionality?
k
Dustin keeps track of how many gallons of gas he needs to fill up x amount of miles that he drives. During his last stop at the gas station, he filled up 14 gallons of gas after driving 210 miles. How many miles per gallon does he get with his car?
15 miles/gallon
Jane puts the same amount of money into her savings account each week to save to purchase a car. In week 3, she has saved a total of $157.50 and by week 8, she has $420 saved. Assuming she saves the same amount each week, what is the unit rate at which she is saving?
52.50/week
Do practice Qs on FutureRN for Tables, Charts, and Graphs and all other units after
