Solve for x: 2x+5=11
x=3
(Subtract 5 from both sides: 2x=6, then divide by 2.)
What is the sum of the angles in a triangle?
180 degrees
(All triangles have angles that add up to 180 degrees.)
What is the mean of 2, 4, and 9?
5
Add all numbers together. Divide by the number of numbers given (( 2+4+9)/3=15/3=5 )
What is the place value of the digit 5 in the number 3,582?
Hundreds
What is the smallest prime number?
2
Prime number: A natural number greater than 1 that has exactly two positive divisors: 1 and itself
Simplify: 3(x−2)+4x
7x−6
(Distribute and combine like terms.)
Find the area of a rectangle with length 8 and width 3.
24
(Area = length × width = 8×3.)
If you flip a fair coin, what is the probability of getting heads?
1/2 or 50% heads or tails
What is 3/4 as a decimal?
0.75
(Divide 3 by 4.)
What is 15% of 60?
9
( 0.15×60=9.)
If y=2x−7, what is y when x=5?
y=3
(Plug in x=5 : 2(5)−7=10−7=3.)
A triangle has angles x∘,2x, and 3x∘. Find x.
x=30
(x+2x+3x=180⇒6x=180⇒x=30 .)
What is the median of 7, 5, 9, 3, 8?
7
Put in order first, then find the middle value.
(3,5,7,8,9. Middle value is 7.)
What is 2-2?
1/4
(Negative exponents flip)
If the probability of winning a game is 1/4 , how many times would you expect to win in 20 games?
5
(.25 x 20=5)
If f(x)=3x−4, find x when f(x)=11.
x=5
(Set 3x−4=11, add 4: 3x=15, divide by 3: x=5.)
What is the volume of a rectangular prism with dimensions 2, 5, and 6?
60
(Volume = 2×5×6=60.)
A bag has 3 red, 2 blue, and 5 green marbles. What is the probability of drawing a blue marble?
2/10 or 1/5 (2 blue out of 10 total)
What is the value of 72−52?
24
( 72=49, 52=25, 49−25=24 .)
If a triangle has sides of lengths 6, 8, and 10, is it a right triangle?
Yes
(Check with the Pythagorean Theorem: 62+82=36+64=100=102 .)
Solve for x: 2x−7=3x+8
x=−15
(Subtract 3x from both sides: 2x-3x-7=8, which gives −x−7=8. Add 7: −x=15 , so x=−15.)
The area of a circle is 153.94. What is the radius?
r=7
(Area = πr2, so πr2=153.94 ⇒r2=49⇒r=7.)
Find the mode of the following set: 4, 6, 6, 8, 9, 4, 6.
6
Mode: The number that appears the most.

24

If a line has an equation of y=−2x+3, what is its slope, its y-intercept, and what quadrants does it touch?
Slope is m=−2, Y-intercept is b=3
It will touch quadrants 1,2 & 4