ACT practice
Natural numbers are also called?
Counting numbers.
It starts at one side of the circle, goes through the center and ends on the other side.
Diameter
Division, Multiplication, Addition and Subtraction... which two are non-communicative?
Division and subtraction.
Uses a sign to show a relationship, that things are equal:
Equation.
A small number written slightly above and to the right of a variable or a number.
Exponent.
Change two or more terms to just one term:
Factor.
Variables and/or numbers
Factors.
Irrational numbers can not be written as:
Fractions.
The radius is ______ the size of the diameter
Half
Factorial operation (looks like someone took you by surprise)
!
A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?
$408.04
A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player ?
$56.00
Factor x²+7x+12
(x+3)(x+4)
Factor x²+8x+15
(x+3)(x+5)
The submarine was 75 feet below the surface when the skipper yelled, "dive!" The submarine went down another 25 feet. What is the new depth of the sub?
-100
Which number is smaller, -12 or -11
-12
(-8) x (+2) =
-16
The additive inverse of 2 is:
-2
(+24) ÷ (-3) =
-8
½= (decimal)
.5
Number where whole numbers begin.
0
What is the difference between 1.8 and 1.08 ? (Note: A bar indicates a digit pattern that is repeated.)
0.719 (with a bar over the 19)
Number where natural numbers begin.
1
Determine the factors the number 12
1, 2, 3, 4, 6, 12
Determine the factors for the number 25
1, 5, 25
Determine the factors for the number 10
1,2, 5, 10
Jim Brown is the all-time leader in rushing yards per game for a career. He rushed for 12,312 yards in 118 career games. What was his rushing average per game?
104.3
The circle has a diameter of 40, what is the circumference?
125.6 (pie times diameter)
(-8) x (-2) =
16
Four squared equals
16
What is the ONLY even prime number?
2
In 1963 Jim Brown rushed for 133.1 yards per game. He finished the year with 1863 yards in 14 games. If he averaged the same amount per game, but played in 16 games instead of 14. What would have been his total number of yards? Would it beat Eric Dickerson's record of all-time record of 2105 yards?
2,129.6/yes
In his first five seasons, Cam Newton has thrown for 18,263 yards. In his first five season, Dan Marino threw for 19,422. How many more yards did Dan Marino average per year more than Cam Newton? Round to the nearest number.
232
|-27| (absolute value of -27)
27
In his first five seasons, Cam Newton has thrown for 18,263 yards. How many yards has he averaged per season.
3,652
Solve 3! (show your math)
3.2.1=6
The circle has a radius of 50, what is the circumference?
314 (pie time diameter, diameter is twice the radius)
It rained 6 days out of the 18 days we were on vacation. What percentage of the time did it rain?
33%
Between 1977 and 1983, Jim Rice of the Boston Red Sox hit 39, 46, 39, 24, 17, 24, and 39 home runs. Find the mean and then the mode in those numbers. (answer in this format XX/XX)(round up or down if necessary)
33/39
What is the greatest common factor of 42, 126, and 210 ?
42
Which of the following is a prime number. 4,8,14,18,33,35, 36, 42,43, 44, or 49
43
Cam Newton threw for 300 yards or more in seven of the sixteen games he played in this year. What percentage of his games did he throw for 300 yards or more?
43%
.5= (percentage)
50%
Ryan wants to pig out on pizza. He goes to Sunset Pizza and orders a large, 16"pizza. The number of inches refers to the diameter of the pizza. What is the radius of the pizza and what is the total area of the pizza. (Formula C=2πr)
50.25 inches
A football field is 360 ft (120yards) long and 160ft wide. What is the area of the field and what is the total perimeter of the field.
57,600/1,040
Ron Rivera has been the headcoach of the Panthers for five years. His teams have won 47 of the 80 games played. (this question does not take into account his one tie) What is his winning percentage?
59%
Solve 24÷3+16−9×2
6
Through 44 games of the 2015-16 NBA season, the Phila 76ers have one 13.6% of their games. How many games have they won? (will have to round up to get a whole number)
6
Six is less than three
6<3
What is the value of x when 2x + 3 = 3x - 4 ?
7
Solve 7! (show your math)
7.6.5.4.3.2.1=5,040
Find the area of a parallelogram with a base of 7 inches and a height of 10 inches.
70
The Golden State Warriors have won 91.3% of their games. Their season is 81 games long. How many wins will they get if they continue winning at this percentage.
74
Seven is greater than three
7>3
(-24) ÷ (-3) +
8
Ryan wants to pig out on pizza. He goes to Sunset Pizza and orders a large, 16"pizza. The number of inches refers to the diameter of the pizza. What is the radius of the pizza and what is the total area of the pizza. Is Ryan a pig?
8"/200.96/yes
3⁴
81
Aaron Rodgers completed 17 of his 19 passes thrown. What percentage of his passes were completed?
89%
Ron Rivera has been the headcoach of the Panthers for five years. His teams have won 47 gamess in his five years. How many wins have they averaged per year while he has been their coach.
9.4
The Golden State Warriors won 27 of the 30 games they have played. What is their winning percentage?
90%
What was the Carolina Panthers winning percentage (rounded up) for this year. They won 15 of 16 games.
94%
a²×a⁴= (x's are times sign, not a variable)
a⁶
b⁵×b²×b²= (x's are times signs, not variables)
b⁹
When comparing negative numbers, the number farthest from 0 is the ________ number.
smallest
.25= (fraction)
¼
.75 = (fraction)
¾
The formula for circumference for a circle or sphere:
πd (pie times diameter)
−(4) + (−2)=
−(4+2) or -6
3/5 + 2/9-4/3=
−23/45
The opposite of a rational number.
Irrational number
When adding fractions look for the:
LCD
Average is essentially the same as:
Mean
The most frequent term in a set of numbers:
Mode
When a number is written in front of a variable such as 3x, it means the 3 and the x are:
Multiplied
Subtraction and Division are (associative or non-associative)?
Non-associative.
In Algebraic equations, the letters (also called variables) always stand in for:
Numbers
An action performed upon one or two numbers to produce a resulting number:
Operation.
In multiplying and dividing signed numbers, if the two signs are the same then the result will be a:
Positive number
A number that can be divided evenly only by a one and by itself. Numbers such as 2, 3, 5, 7, 13, 17, etc....
Prime numbers.
The values being multiplied together are the multipliers or factors, the result is the:
Product.
Represent real values-no pretend or make believe.
Real numbers.
Addition and Multiplication are (associative or non-associative)?
Associative
An operation which involves two numbers:
Binary
A _______ is the number preceeding a variable:
Coefficient.
A value or number that never changes in an equation.
Constant.
π×r×r= (this formula is used for circles)
A (area)
Formula for finding the area of a parallelogram
A=b×h (area equals base times height)
Tells you how far (like on a number line) a number is from zero. Its symbol is two vertical bars ||
Absolute value
Division, Multiplication, Addition and Subtraction....which two are communicative?
Addition and Multiplication.
Numbers that are opposite in sign but the same otherwise are called:
Additive inverses.
Copy the correct sentence. Air Force One is the aircraft on which dignitaries and the President travels. Air Force One is the aircraft on which dignitaries and the President travel.
Air Force One is the aircraft on which dignitaries and the President travel.
It is the distance from the center of a circle to any point on the circle:
Radius
The area of a circle can be found by multiplying π (3.14) by the square of the ______?
Radius
Means to combine all that can be combined, cut down on the number of terms, and put an expression in an easily understandable form:
Simplify.
The grouping together of one or more factors:
Term.
Copy the correct sentence. The Emperor Penguins, the biggest penguin type, is found in Antarctica. The Emperor Penguin, the biggest penguin type, is found in Antarctica.
The Emperor Penguin, the biggest penguin type, is found in Antarctica.
The number 12 in the expession 12a is called:
The coefficient.
Write a formula for there was one less a apple on the tree.
a-1
Bi (as in Binary) means:
Two
Isosocles triangles have:
Two sides in common
A letter representing some unknown; it always represents a number.
Variable.
The letter b in the expression 12b is called a:
Variable.
Copy the correct sentence. When one writes "To Whom It May Concern" in letters, please be sure that their handwriting is good. When one writes "To Whom It May Concern"in letters, please be sure that one's handwriting is good.
When one writes "To Whom It May Concern"in letters, please be sure that one's handwriting is good.
Do not include fractions.
Whole numbers.