Properties
Real Numbers
Evaluating
Geometry
Real World
100
What number is missing in the sequence: 180, 360, 540, 720, ___, 1080.
you are going up by 180 so the missing number is 900.
100
Which of the following is a perfect square? A) 39 B) 64 C) 88 D) 99
B) 64
100
Simplify: -12 - /-14/
-26
100
If two angles are supplementary, and one of them measures 56 degrees, what does the other angle measure?
Supplementary angles add up to 180 degrees. So, 180 - 56 = 124 The other angle has to be 124 degrees.
100
16 out of 20 boys passed their test. What percent of boys passed the test?
16/20 = 0.8 move decimal 2 places to right or multiply by 100 0.8 = 80%
200
The following problem is an example of what property? (2x3) + 4 = 4 + (2x3)
Commutative Property
200
What is 1/40 written as a decimal?
0.025
200
What is 1.26 x 10^6?
1,260,000
200
If two angles are complementary and one angle is 27 degrees, what is the measure of the other one?
Complementary angles add up to 90 degrees. So, 90-27 = 63 The other angle is 63 degrees.
200
The rate of cars to people in West Germany is 250 to 1000. Write this rate as a fraction in simplest form.
1/4
300
Which property is being demonstrated? 3(x + 6) = 3x + 18
Distributive Property
300
Between which two consecutive numbers does the square root of 58 lie?
square root of 58 = 7.6 so it lies between 7 and 8
300
Evaluate: 3(6-4)^2 + 8
3(6-4)^2 + 8 3(2)^2 + 8 3(4) + 8 12 + 8 20
300
What is the length of a right triangles hypotenuse if it's other two sides are 2 and 3? a squared + b squared = c squared
a=2 b=3 c=? 2 squared + 3 squared = c squared 4 + 9 = c squared 13 = c squared 3.6 = c
300
A map of the US uses the scale 1/2 inch = 100 miles. On the map, the distance from NY to Richmond is 3 1/4 inches. What is the actual distance from NY to Richmond?
.5/100 = 3.25/x .5x = 325 x = 650 miles
400
What is the smallest subset of the real numbers that contains -6?
Integers
400
Order the following from least to greatest: 0.004, 2/5 , 4% , 4x10^1
0.004 2/5 = .4 4% = .04 4x10^1 = 40 0.004 , 4% , 2/5 , 4x10^1
400
Evaluate: 15/5 - 3^2 + 4 x -1
15/5 - 3^2 + 4 x -1 3 - 9 + -4 -6 + -4 -10
400
What is the Volume of a rectangular prism whose length is 4mm, width is 7mm, and height is 12mm? V=lwh
l=4 w=7 h=12 V=lwh V=4x7x12 V=336
400
When shooting free throws in basketball, Tyson is about 65% accurate. If he attempts 20 free throws in a row, how many can he expect to make?
65/100 = x/20 100x = 1300 x = 13
500
What is the smallest subset of real numbers that includes the square root of 14?
Irrational numbers
500
What is the least common multiple of 40 and 48?
multiples of 40: 80, 130, 160, 200, 240, 280, 320, 48: 96, 144, 192, 240 so the least common multiple is 240.
500
Evaluate: 2xy - x^2 if x =4 and y= -5
Rewrite 2xy - x^2 2(4)(-5) - (4)^2 -40 - 16 -56
500
What is the surface area of a square pyramid if the sides of the base are 6 feet and the slant height is 8 feet? S.A. = 1/2lp + B
l=8 p (perimeter of base) = 6+6+6+6=24 B (area of base) = 6x6 = 36 SA = 1/2lp + B SA = 1/2(9)(24) + 36 SA = 96 + 36 SA = 132 feet
500
After shopping, Marie had $85 worth of clothes. If the sales tax is 8%, how much will her final bill be?
step 1) change 8% to a decimal = 0.08 step 2) $85 x 0.08 = $6.80 step 3) $85 + $6.80 = $91.80