Exponents
Simplify:
(x * x *x * x *x)/(x * x *x)
What is:
x2
Is √17 rational or irrational?
What is:
Irrational
Sam goes to the store and buys $17.08 worth of items. He has to pay 8% sales tax. What is his total?
What is:
$18.45
The temperature at 8:00 am was 32 degrees Fahrenheit. The temperature 9:00 am was 36 degrees Fahrenheit. What is the temperature’s rate of change?
What is:
4 degrees
A cylinder has a height of 8 feet and a radius of 4 feet. What is the volume of the cylinder? Using 3.14 for pi.
What is:
401.92 ft3
What is the probability of getting a 5 or higher on a six sided dice?
What is:
1/3
Solve:
(x+5)/7=2
What is:
x=9
Simplify:
(m^3 * m^5)/m
What is:
m7
What two whole numbers is √90 between?
What is:
9 & 10
Alex scored 6 points in his first game. In his second game he scored 14 points. What is his percent of increase?
What is:
133%
Morgan has $40 in her bank account after 2 weeks she has $54 in her account. Write an equation to represent this situation.
What is:
y=7x+40
A sphere has a radius of 5 feet. What is its volume? Using 3.14 for pi.
What is:
523.33 feet
What is the probability of getting all heads when you flip a coin 3 times?
What is:
1/8
Solve:
2(2x-4)=-6
What is:
1/2
Simplify:
(b^7)^-2/b^3
What is:
1/b^17
What is 0.1̅5 as a fraction in its most reduced form?
What is:
5/33
A rectangular garden is 5 ½ feet long. Its area is 44 square feet. A fence needs to be built around the entire garden.
What is the total length, in feet, of the fence needed?
What is:
27 feet
A student is saving money for summer camp.
The student was given $50 to start his savings. He saves the same amount of money each week afterwards. After 4 weeks, he has saved a total of $130. After 5 weeks, he has saved a total of $150. Create an equation to model this situation.
What is:
y=20x+50
A square pyramid has a volume of 128 feet3 with a height of 6 feet. What is the length of one of its sides?
What is:
8 feet.
What is the probability of putting the letters from the word TEACHER into a bag, drawing a vowel, keeping it, then drawing a consonant.
What is:
2/7
Solve:
-3(4x-2)+9=81
What is:
-5.5
Simplify:
((y^5)^-2*y^6)/y^-3
What is:
1/y
Order the following numbers from least to greatest:
π, 3.14, 3 1/4 , √9, 23/7
What is:
√9, 3.14, π, 3 1/4 , 23/7
A TV was originally $475. The store had it on sale for 35% off. David had a coupon for an extra 10% off. At the register he had to pay 7% sales tax. How much was the TV?
What is:
$297.33
An ice cream shop charges $4.50 for an icecream with one topping. It also charges $5.40 for an ice cream with two toppings. Create an equation to represent the cost of ice cream and x amount of toppings.
What is:
y=0.90x+3.60
If a sphere has a surface area of 615.44 inches, what is the volume of the sphere? Using 3.14 for pi.
What is:
1,436.02 inches3
If I wanted to create a 4 digit passcode with no limitations how many possibilities are there?
What is:
10,000
Solve:
-3/4(16x-12)+5(x-3)=-3x+10
What is:
x=-4
What does a represent?
(9^a)/3^4=3^8
What is:
6
What is √21 as a decimal.
What is:
4.5̅
Three friends agree to split the payment for mowing a large lawn. The job pays $84 total. Marcus worked 1¼ hours, Jada worked 2¼ hours, and Evan worked 2½ hours. They split the money based on how long each person worked.
How much does each friend earn?
What is:
Marcus $17.50
Jada $31.50
Evan $35
Susie had $105 saved after 3 weeks. After 5 weeks she had $139. Create an equation to represent how much she started with and how much she saved per week.
What is:
y=17x+54
A cone has a volume of 113.04 in3 with a height of 12 inches. If a sphere had the same radius what would the volume be?
What is:
113.04in3
The library needs a new filing system. They want to use 3 letters followed by two numbers to create it. But they do not want to repeat any letters or digits. How many books can they have?
What is:
1,404,000
Create an equation + Solve:
A gym charges a one-time enrollment fee plus a monthly fee. The enrollment fee is 4 times the monthly fee. New members receive $15 off their enrollment fee. A new member pays the enrollment fee plus 5 months of membership. The total cost is $228. What is the monthly membership fee?
What is:
$27