Logarithms
Evaluate log327.
What is 3.
Factor x2-2x.
What is x(x-2).
What is the formula for finding slope?
What is y=mx+b.
On a class trip, the students stopped off at Tommy’s for something to drink. Some students got milkshakes which cost $2.45 each, but twice as many students got soft drinks which cost $0.89 each. If the total bill was $25.38, how many students bought soft drinks? A)6 B)9 C)12 D)15
What is C)12.
Mike is planning a trip from Cleveland to Denver, which is about 1,332 mi. If his car averages 32 miles per gallon, and gas costs on average $3.29 per gallon, which of the following is the approximate cost of gas for the trip?
What is $136.95.
What is the logarithm an inverse of?
What is exponentiation.
Factor 10x2+x-2.
What is (5x-2)(2x+1).
Write an equation in slope-intercept form for the line with slope −3 that goes through the point (−2,0).
What is y=-3x-6.
A real estate agent received a 6% commission on the selling price of a house. If their commission was $8,880, what was the selling price of the house?
What is
6% x = 8,880. x = selling price of house.
x = $148,000.
A sequence starts 4, 24, 44, 64,.... What is the 230th term?
What is 4,584.
Evaluate log99.
What is 1.
Factor 4x2-36 completely.
What is 4(x+3)(x-3).
Write the equation of a line that goes through the point (5,−2) and has a slope of 1. Write your answer in general form.
What is x-y-7=0.
The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle.
L×W=300 :area , L is the length and W is the width.
2L+2W=70 :perimeter
L=35-W :solve for L
(35-W)×W=300 :substitute in the area equation
What is W=15 and L=20.
The sum of the first five numbers of an arithmetic sequence is 90. If the first term is equal to the common difference, what is the fifth term? A) 30 B)22 C)16 D)15
What is A) 30.
Solve for x: log4(2x)=5x+3.
What is x=-2/3.
Factor 18x3+3x2-6x.
What is 3x(2x-1)(3x+2).
Find the slope of a line whose coordinates are (2,9) and (4,1)?
Given, (x1,y1) = (2,9) and (x2,y2) = (4,1) The slope formula is m=(y2-y1)/(x2-x1)m m = (1 − 9)/(4 − 2) m = -8/2 = -4 What is -4.
Sarah has a 16 oz. of a soft drink that is 50% Coke and 50% Sprite. How much Sprite does she need to add to the drink to make it 65% Sprite?
What is =6.86 oz.
What is the range for the following data set? { 3, 9, 12, 12, 15, 16, 20, 21, 34, 35, 36, 36, 36, 38, 39, 50 }
What is 47.
Express 53=125 in logarithm form.
53=125 ab = c ⇒ logac=b What is Log5125=3.
Factor x2+2x+1-y2=.
What is (x+1-y)(x+1+y).
Determine the value of b, if the slope of a line passing through the points (b, 7) and (8, -5) is 6.
Given, Slope = m=6, Points: (x1,y1)=(b,7) and (x2,y2)=(8,-5)
We know that Slope (m)=(y2-y1)/(x2-x1)
6=(-5-7)/(8-b)
6=(-12)/(8-b)
-2=(8-b)
-2-8=-b,
What is b=10.
Four children have small toys. The first child has 1/10 of the toys, the second child has 12 more toys than the first, the third child has one more toy of what the first child has and the fourth child has double the third child. How many toys are there?
x :the total number of toys
x/10 :the number of toys for first child
x/10+12 :the number of toys for second child
x/10+1 :the number of toys for the third child
2(x/10+1) :the number of toys for the fourth child
x/10+x/10+12+x/10+1+2(x/10+1)=x
What is x=30 toys.
Write the solution to 5 + x −1 < 9 using interval notation.
What is (-3,5).