TEAS (MATH)
How many kilometers are in a centimeter?
1 kilometer is equal to 100,000 centimeters
How do you find a weighted average? Loral received all her grades for the semester (in parentheses) along with the weight for each grade, shown below. What is her final grade? 45% = 3 tests (80%, 75%, 92%) 25% = final (88%) 15% = paper (91%) 15% = 2 oral quizzes each worth 25 points (22, 19)
1. Find the average of all the tests (82.3%) 2. Find the average of the oral test (88%) 3. Multiply each grade by the weight and then add them all together (82 × .45) + (88 × .25) + (91 × .15) + (82 × .15) = 85.
Jackson is 3 times as heavy as Andrew if the sum of their weight is 360, how much does Andrew weight?
90 pounds 3A + A = 360 4A =360 360/4 = 90
1 kilogram is how many pounds?
2.2 pounds
1 inch is how many centimeters?
2.54 cm
Express 5.6 meters as a percentage of 8 meters.
5.6 / 8 = 0.70 0.70 X 100 = 70%
The area of one face of a cube is 49 square centimeters. What is the total length of all its edges?
* A cube has 6 faces and 12 edges* Find the square root of 49 then take that and multiply it by 12 7 X 12= 84
How would you find a percentage of a fraction Example: 50% of 1/2 + 1/4
1. Find the lowest common D 2. Make sure you are multiplying the top numbers as well 3. Make your percent a fractions as well (50% = 1/2) 4. 3/4 (got this number by finding lowest common D and then multiplying) X 1/2 = 3/8
1 mile is how many kilometers?
1.609 kilometers
Dividing a number by 10 is the same as multiplying that number by what?
1/10
How many inches are in a 1 foot?
12 inches
How many ounces are in 1 pound?
16 oz
1 oz is how many grams?
28.35 g
1 meter equals how many feet?
3
How many feet are in a 1 yard?
3 feet
How many quarts are in 1 gallon?
4 quarts
How many feet are in a 1 mile?
5280 feet
Express 48 square centimeters in square meters. a. 4800 b. 0.48 c. 0.048 d. 0.0048
D 48/10,000 = 0.0048
How do you convert a fraction to an improper fraction
Example 2 1/4 First: You'll want to multiply the 2 by the 4 Then add the product so (2X4) +1 Add them all together and keep the denominator in place
How do you convert a fraction to an improper fraction with two numbers?
Example: 2 1/4 X 3 2/3 First: You want to multiply the 2 by the 4 and the 3 by the 3 (The two denominators) Then: you want to add the other two numbers then the 1 and the two (2 X 4) + 1 & (3 X 3) + 2 = 9/4 & 11/3 Now: we want to multiply them together so 9 X 11 & 4 X 3 = 99/12 Make sure you simplify!
Solve the inequality 17 - 2a < 10
First 17 -10 = -7 -2a < -7 Divide and since we are dividing two negatives we will switch the sign A > 3.5
A teacher has a rectangular piece of paper which is 52 cm long and 38 cm wide. She cuts the paper into squares, each measuring 5 cm by 5 cm. What is the largest number of whole squares she cuts?
First we divide 38 by 5 = 7 Then we divide 52 by 5 = 10 Now we multiply them together 7 X 10 = 70
John, Lucy and Emma share 60 pencils in the ratio 4:5:6. How many pencils does Lucy receive?
First you want to add all the ratios up 4+5+6 = 15 so John: 4/15 Lucy: 5/15 Emma: 6/15 Lucy: 5/15 (60) = 20
Simplify to a fraction in lowest terms: 6+9 ------ 6⋅9
First you want to add the 6+9 = 15 Then multiply the 6 X 9 = 54 Now you want to find the lowest common D 5/18
Given that 5 cm on a map represents 4 km on the ground, calculate the distance in km between two points, which are 8 cm apart on the map.
First you want to set up the equation 4/5 = x/8 Now we want to cross multiple 4 X 8 = 32 and 5x Now we want to divide X= 6.4
The price of a pencil box increased from $25 to $26.50. What is the percentage increase in the price?
First you want to take 26.5 - 25 = 1.5 1.5 divided by 25 = 0.06 0.06 X 100 = 6% (have to multiply by 100 to get percent)
How do you solve for X when where is a fraction in the equation?
First: you will want to multiply the whole equation by the denominator to get rid of the fraction Then you solve
How do you add two fractions together?
IF they have the same CD (common denominator) you just add across IF NOT you need to find the LCD (lowest common denominator) Then you multiply by the number it took to get to the lowest common denominator on each side Then you would add both fractions together
How do you subtract two fractions?
IF they have the same CD (common denominator) you just add across IF NOT you need to find the LCD (lowest common denominator) Then you multiply by the number it took to get to the lowest common denominator on each side Then you would subtract both fractions from each other since they have the same common denominator
Enrique weighs 5 pounds more than twice Brendan's weight. If their total weight is 225 pounds, how much does Enrique weigh?
If E + B = 225, and E = 2B + 5, then 225 - B = 2B + 5. Solving for B, 3B = 220 and B = 73.3. 225 - 73.3 = 151.7.
How do you divide fractions?
Keep, Change, Flip! Then multiply fractions! Example: 1/8 DIVIDED BY 3/4 1/8 X 4/3 = 4/24 because 1 X 4 & 8 X 3
How do you multiply fractions?
Multiply straight across For example: 2/5 X 2/3 (2 X 2) & (5X3) = 4/15
What is PEMDAS? What does it stand for?
PEMDAS is basically order of operations, when solving a problem you need to first do.... Parenthesis, Exponents, Multiply, Divide, Add, Subtract
If Mike walks around the edge of a pool that is 20 feet wide and 110 feet long four times how far has he walked in total?
Rectangle area: 2 X L + 2 X W (2 X 20) + (2 X 110) = 260 260 X 4 (walked around 4 times) = 1040
A side of a square is 2.5 cm long. What is the area of square?
Side X Side 2.5 X 2.5 = 6.5
A tank is 12 cm high with a square base. Its sides are 10 centimeters wide. What is the volume of the tank in cubic centimeters?
V = L X W X H 10 X 10 X 12 = 1200
What is an improper fraction?
a fraction in which the numerator is greater than the denominator, such as 5/4.