Integers
What is 5+(-6)?
-1
What is 52?
25
A basketball player made 20 out of 32 attempted free throw shots. What is the ratio of shots made vs. shots missed?
5/3 Calculate the number of shots missed by subtracting 20 from 32. That means he missed 12 and hit 20. 20/12 reduces to 5/3.
Solve - without a calculator -
(52+6-3) + (16+4)-32
39 Remember to use your order of operations!
What is the perimeter of a square with sides that measure 10 cm?
Formula: the sum of the length of all sides of a two- dimensional figure
40 cm
(the sum of the four sides - 10+10+10+10=40 or in the case of a square in which all sides are the same length, you can multiply the length times 4x10=40)
What is (-2) - 6
-8
What is 103?
1,000
Charles drove 276 miles on 12 gallons of gas. How many miles per gallon did he get on the trip?
23 miles per gallon
Set up a proportion and cross multiply to solve for x
276 = x
12 1 (276/12 = 23)
Simply 5+x2-3+3x
x2+3x+2
What is the area of a triangle with a base that is 3 inches and a height of 4 inches?
Formula: A=1/2 bh
6 in.2 (One half of a base of 4 is 2. 2x3=6)
Answers in area will always be in square units)
What is -4-(-4)
0
What is the square root of 49?
7
6 = 21
16 x
Solve for x to solve the proportion problem
56 (Cross multiply 16x21=336 336/6=56)
Multiply, then simplify (Use the FOIL method)
(x+3) (2x-4)
2x2+2x-12
If you build a railing around a circular swimming pool that has a diameter of 20 feet, what will be its length?
Formula: C=pi(d) (use 3.14 for pi)
62.8 feet (3.14x20)
What is -12 x 3
-36
What is 32+23?
17
Your total bill at a restaurant is $15.65. You want to leave a tip of 15% to the waitress. How much should you leave? (round your answer to the nearest cent)
$2.35 (15.65x.15)
Solve for x
3x-20=130
50
Isolate the x. Add 20 to each side, making the equation 3x=150, then divide 3 from each side, giving you the answer: x=50.
A ladder is placed 8 feet from the wall of a house to form a right angle. The ladder is 15 feet in length. How far up the wall will the ladder reach (round your answer)
Formula: Pythagorean theorem: a2+b2=c2
13 feet (The c2 is already given as 15 and 8 is a2, so solve for b to find the answer)
82=64 and 152=225 so we have 64+b2=225. Subtract 64 from each side to make the equation b2=161. The square root of 161 is 12.7, which rounds to 13.
What is -24/-8
3
What is 6o
1
Any number other than zero raised to the power of zero is 1
24 is 80% of what number?
30 (set up a proportion, with 80/100 - for the %, and then 24/x. 24x100 = 2,400 then 2,400/80=30
or you can divide 80/100 and then multiply the answer by 24. Either way you will get 30 for the answer!
Factor x2+4x+3
(x+1)(x+3)
Figure out what possible polynomials when multiplied together with the FOIL method would result in the problem to be factored.
(x)(x)=x2 [First] (x)(3)=3x [Outer] and (1)(x)=x [Inner] 3x+x=4x, (1)(3)=3 [Last]
A cone has a slant height(s) of 4 feet and a radius (r) of 3 feet. What is the surface area of the cone in square feet?
Formula: SA= (pi)(r)(s)+(pi)(r2)
30pi in2
Plug the values given for slant height and radius into the formula. 3x7=21pi + 32=9piso 21pi+9pi= 30pi in2