Formulas You Should Know
Formula for the area of a triangle. How do you find the Area of a triangle?
A= 1/2 bh
How do you write an equation in slope intercept form/ what is slope intercept form?
y=mx+b
where m is the slope and b is the y-intercept
A function h of the variables a and b is defined as h(a,b) = ab - ba. What is the value of h(3,2)?
A)-1
B) 0
C) 1
D)3
E) 17
C) 1
A jar contains only 11 red balls, 9 yellow balls, 5 green balls, and n white balls. Each ball is a solid color. What is the probability that a ball randomly chosen from the jar is yellow?
A) 1/9
B) 1/25
C) 9/25
D) 9/(25+n)
E) (9+n)/ (25+n)
D) 9/(25+n)
Formula for the Area of a Circle. How do you find the area of a circle?
A= pi r2
In the standard (x,y) coordinate plane, what is the slope of the line with equation 3x+5y=6?
A) -5/3
B)-3/5
C)3/5
D)5/3
E)2
B)-3/5
Eduardo is making a cake with frosting. The recipe calls for 1/8 teaspoon of vanilla extract for the cake and 3/4 teaspoon of vanilla extract for the frosting. To make 2 cakes with frosting be doubling this recipe, how many teaspoons of vanilla extract does Eduardo need?
A) 2/3
B) 7/8
C) 7/16
D)1 and 1/2
E) 1 and 3/4
E) 1 and 3/4
Jalen has 6 pairs of shoes, 4 pairs of pants, and 6 shirts, which can be worn in any combination. He needs to choose a clothes combination to wear to the school dance. How many different combinations consisting of 1 of his 6 pairs of shoes, 1 of his 4 pairs of pants, and 1 of his 6 shirts are possible for Jalen to wear to the dance?
A) 10
B) 16
C) 24
D)48
E) 144
E) 144
Formula for the Circumference of a Circle. How do you find the circumference of a circle.
C=2pi r or C=dxpi
A room in a laboratory requires the ventilation system to produce 8 air exchanges per hour. This means that every hour, the ventilation system must move (pull in and pump out) a volume of air equal to 8 times the volume of the room. The area of the rectangular floor of the room is x square feet. The rectangular walls are 10 feet high. In terms of x, how many cubic feet of air must the ventilation system move per hour?
A) 4/5x
B) 4x/5
C) 5x/4
D) 8x
E) 80x
E) 80x
What value of x makes the equation [4(x-6)]/3 =16 true?
A)4.5
B) 6
C) 10
D)14.5
E) 18
E) 18
Suppose that x is a positive real number and 4x/6x2 is a rational number. Which of the following statements about x must be true?
A) x is rational
B) x is irrational
C) x=1
D) x=2/3
E) x =3/2
A) x is rational
What is the formula for the volume of a box? How do you find the volume of a rectangular box?
V=lwh
Volume = length x width x height
To attend an annual banquet, members pay $13 per ticket while nonmembers pay $15 per ticket. What is the total amount, in dollars, from the sale of 90 member tickets and n nonmember tickets?
A) n+90
B) 15(n+13)
C) 15(n+90)
D) 15n+13(90)
E) (15+13)n
D) 15n+13(90)
Wendy drives and average of 15,000 miles per year. Her present car averages 15 miles per gallon of gas. If gas costs $1.20 per gallon, how much less would she spend for gas in a year if she had a car that averaged 20 miles per gallon of gas?
A) $250
B) $300
C)$750
D)$900
E)$1,200
B) $300
A fair coin has 2 sides: 1 side is heads and 1 side is tails. A fair cube has 6 sides: 2 sides are solid green, 2 sides are solid yellow, and 2 sides are solid red. The coin and the cube are each tossed once. What is the probability they will land so that the side facing up on the coin is tails and the side facing up on the cube is yellow?
A)1/12
B)1/8
C)1/6
D)1/3
E)1/2
C)1/6
What is the equation for point-slope form?
y-y1=m(x-x1)
A certain race car has a max speed of 240 miles per hour. Which of the following is an expression for this maximum speed in feet per second?
(Note: 1 mile=5280 feet)
A) 240(5,280)/36,000
B) 240(3,600)/5,280
C) 240(5,280)/3,600
D) 60(5,280)/240
E) 240(5,280)/360
C) 240(5,280)/3,600
The system of equations below has 1 solution (a,b). What is the value of b?
3a-5b=22
a+3b=-2
A)-4
B)-2
C)4
D)9
E)20
B)-2
In the standard (x,y) coordinate plane, the graph of y=x2 is shifted 5 units down and 4 units right. Which of the following is an equation of the translated graph?
A) y=(x+4)2+5
B) y=(x+4)2 -5
C) y=(x-4)2+4
D) y=(x-4)2 -5
E) y=(x+5)2 -4
D) y=(x-4)2 -5