Find the value of x.
22=3x-5
x=9
What is the slope of the following equation?
y=-1/2x-5
m=-1/2
Factor the following quadratic:
x^2+7x+12
(x+3)(x+4)
If you roll a fair 6-sided dice, what is the probability that you roll a 4 or higher?
1/2=0.5
What is 10% of 130?
13
Simplify the following inequality.
7x+2>2x+17
x>3
What is the y-intercept of the following equation.
y=3x+7
Y-intercept:
(0,7)
Factor the following quadratic:
x^2-14x-32
(x-16)(x+2)
You have a bag with 6 red marbles and 4 green marbles. If you randomly select one marble what is the probability that it is a red marble?
6/10=60%
Dave is at a restaurant. If the bill is $40 and he wants to tip 15%, how much should he leave as a tip?
Dave should leave $6 as the tip.
Find the value of x.
8(1.125x-0.5)=-22
x=-2
Convert the following equations into slope-intercept form:
10x-5y=15
y=2x-3
Factor the following quadratic:
x^2-100
(x-10)(x+10)
In a bag, there are 8 red marbles, 5 blue marbles, and 12 green marbles. If you randomly select one marble from the bag what is the probability of picking a red marble?
8/25=32%
Alice is driving at a constant speed of 60 miles per hour, and Bob is driving at a constant speed of 45 miles per hour.
If they both start at the same location and drive for 20 minutes, how far apart will they be.
5 miles
Simplify the inequality.
-2(x-5)<=5(2.2x+2)
x>=0
What is the equation of this line?
y=2x-4
Factor the following quadratic:
3x^2+18x+24
3(x+4)(x+2)
You have a standard deck of 52 playing cards. If you draw one card at random, what is the probability of drawing a red face card (King, Queen or Jack)?
6/52=3/26=11.5%
A recipe that makes 24 cookies uses 2 large eggs. If Joe wants to make 120 cookies for the classes he teaches, how many eggs does he need to use?
10 eggs
Find the value of x.
frac(2x-8)(3)=frac(4x)(5)
x=-20
What is the equation of the line that passes through the points (-4, 5) and (2, 2)?
y=-1/2x+3
Factor the following quadratic:
2x^2+13x+15
(2x+3)(x+5)
If you flip a fair coin 3 times, what is the probability that you get at least 2 heads?
4/8 = 50%
Consider a two-digit number where each digit represents a distinct positive integer. The sum of the two digits is 12. If you reverse the digits and subtract the smaller number from the larger number, the result is 18.
Can you find the original two-digit number?
57