Transcript CST Review Questions

CST Review Questions
Good luck!
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Number sense: 1.1
Hint (Problem 1)
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Add a decimal
Move the decimal
Count the number of spaces
Use that as the exponent
Number sense: 1.1
Hint (Problem 2)
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Look at the exponent
Move the decimal that many spaces
If the exponent is positive, the number
gets bigger
If the exponent is negative, the number
gets smaller
Number sense: 1.2
Hint (Problem 3)
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The exponent goes to every number
inside the parentheses
Multiply out the numbers
Number sense: 1.2
Hint (Problem 4)
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Since all items are the same price, divide
Number sense: 1.2
Hint (Problem 5)
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Add the values with the same
denominator first
Add the value with the different
denominator last
Simplify, if needed
Number sense: 1.2
Hint (Problem 6)
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Put a 1 under the whole number
Multiply straight across
Number sense: 1.2
Hint (Problem 7)
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“Dirty shoes stay outside”
Divide, turn into decimal form
Number sense: 1.3
Hint (Problem 8)
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Change the fraction into decimal form
(“dirty shoes stay outside”)
Round the dollar amount
Number sense: 1.3
Hint (Problem 9)
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Rational numbers are:
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Whole number (positive or negative),
Decimals, or
Fractions
Irrational numbers are:
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Never-ending decimals or
Square roots with no solutions
Number sense: 1.4
Hint (Problem 10)
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Divide: “dirty shoes stay outside”
Number sense: 1.4
Hint (Problem 11)
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Change percent to decimal (move decimal
2 places to the left)
Multiply
Number sense: 1.5
Hint (Problem 12)
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Change percents to decimals (move
decimal to the left 2 places)
Multiply original amount by the 1st
discount, then subtract from the original
amount
Multiply discounted amount by 2nd
discount, then subtract from the
discounted amount
Number sense: 1.6
Hint (Problem 13)
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Change percent to decimal (move decimal
to the left 2 places)
Multiply
Number sense: 1.7
Hint (Problem 14)
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Change percent to decimal (move decimal
to the left 2 places)
Multiply
Number sense: 1.7
Hint (Problem 15)
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Change percents to decimals (move
decimal 2 places to the left)
Multiply discount percent by original
amount, then subtract from original price
Multiply tax to discounted price, then add
back to discounted price
Number sense: 1.7
Hint (Problem 16)
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Change percent to decimal (move decimal
2 places to the left)
Multiply cost by discount
Subtract discount from original amount
Number sense: 1.7
Hint (Problem 17)
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Add up cost of items
Determine percent of discount
Change percent to decimal (move decimal
2 places to the left)
Multiply cost by discount
Subtract from original cost
Number sense: 1.7
Hint (Problem 18)
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Add the exponents
Number sense: 1.7
Hint (Problem 19)
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Add the exponents
Number sense: 1.7
Hint (Problem 20)
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Since the question asks about the least
common denominator, see which solution
gives each fraction the same denominator
Number sense: 2.1
Hint (Problem 21)
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If the number is the same on the top and
bottom, cancel them out (you cannot do
this if the numbers have different
exponents)
For different exponents, but the same
base, subtract exponents. OR, write out
all the numbers and cancel out the ones
that are the same on the top and bottom.
Number sense: 2.1
Hint (Problem 22)
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Add exponents
Number sense: 2.2
Hint (Problem 23)
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Subtract exponents
If preferred, write out all numbers, cancel
when there is the same on the top and
bottom. Rewrite remaining number with
exponent.
Number sense: 2.3
Hint (Problem 24)
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What number, multiplied by itself, equals
225?
Number sense: 2.3
Hint (Problem 25)
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First, plug 100 in for x.
Second, determine which number,
multiplied by itself, equals 100.
Then multiply that answer by 4.
Number sense: 2.3
Hint (Problem 26)
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Subtract inside the absolute value symbols
first.
Take the absolute value of each
subtraction answer separately.
Subtract those solutions.
Number sense: 2.3
Hint (Problem 27)
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Find the absolute value of each number.
Determine which is smallest.
Number sense: 2.4
Hint (Problem 28)
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Find the absolute value of each number.
Determine which is closest of 5.
Number sense: 2.4
Hint (Problem 29)
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What math operation is “sum”?
What does the word “is” mean?
Number sense: 2.4
Hint (Problem 30)
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Plug in each number for its variable
(letter).
Remember that when 2 numbers are next
to each other, multiply.
Number sense: 2.5
Hint (Problem 31)
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Plug in each number for its variable
(letter).
Remember that when 2 numbers are next
to each other, multiply.
Number sense: 2.5
Hint (Problem 32)
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Pick a number (not zero).
Try each of the choices to that number
and see which changes its value.
Number sense: 2.5
Hint (Problem 33)
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Associative property: 1+(x+3)=(1+x)+3
Commutative property: 1+x=x+1
Identity property: x●1=x, x+0=x
Distributive property: 2(x+3)=2x+6
Hint (Problem 34)
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Factor (divide) the 3 from both numbers.
Or, look at the solutions and see which
could equal the question.
Hint (Problem 35)
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Inverse can mean the same thing as
reciprocal.
Hint (Problem 36)
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Associative property: 1+(x+3)=(1+x)+3
Commutative property: 1+x=x+1
Identity property: x●1=x, x+0=x
Distributive property: 2(x+3)=2x+6
Hint (Problem 37)
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Distributive property: 2(x+3)=2x+6
Hint (Problem 38)
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Inequality means not equal.
Hint (Problem 39)
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Locate several coordinates on the table
that match the graph.
Hint (Problem 40)
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Look at the graph between 2 and 3pm.
See the shape of the graph and decide
which sentence best describes it
Hint (Problem 41)
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Use exponent knowledge
Hint (Problem 42)
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Simplify the whole numbers by division
Simplify the exponents by subtraction OR
write out the numbers and cross of the
same numbers from the top and bottom
Hint (Problem 43)
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Plug in a few small values of x (not zero)
and determine the y values
Plot those points and see which graph
matches
Hint (Problem 44)
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8th grade: Find the y-intercept first, then
determine the slope (remember to put a 1
under the whole number)
7th grade: Plug in 2 values for x (anything
you choose that will fit on the graph), find
the values for y. See which graph
matches those points.
Hint (Problem 45)
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Up = slope
over
Hint (Problem 46)
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Find the slope two times and see which
sentence matches the answer
Hint (Problem 47)
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Up = slope
over
Hint (Problem 48)
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Go over to 3 pounds and see which
graphs have $1.
Then go to 6 pounds and see what the
value should be.
Hint (Problem 49)
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Do the opposite operations:
The opposite of addition,
The opposite of division (or multiply by
the reciprocal)
Hint (Problem 50)
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Solve for z:
Do the opposite operations:
Opposite of addition,
Opposite of multiplication
Keep the inequality symbol (>) the same.
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{z: …} means that z is from the set of …
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Hint (Problem 51)
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Do the opposite operations:
The opposite of addition,
The opposite of multiplication
CAREFUL with those negatives
Hint (Problem 52)
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Subtract to find how much money she still
needs
Divide to determine how many hours she
still needs to work
Hint (Problem 53)
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Do the opposite operations:
The opposite of addition,
The opposite of multiplication
Hint (Problem 54)
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Find out how many miles the duck flew in
the first 3 hours
Then find how many miles the duck flew
the next 2 hours
Then add them together
Hint (Problem 55)
Set up a proportion:
$36 = $720
3 hrs
x
 Or divide $36 by 3 hours, and then divide
that answer into $720
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Hint (Problem 56)
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Set up a proportion:
weight = weight
inches
x
Hint (Problem 57)
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Add together the number of miles driven
Divide by the miles per gallon to find the
number of gallons
Hint (Problem 58)
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Add up the total number of square feet to
seed
Set up a proportion:
2400 square feet = Total square feet
40 ounces
x
Hint (Problem 59)
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Divide the number of miles by the amount
of time it took to get home to find his
speed from LA to his house.
Compare this speed with that provided in
the question
Determine the solution, based on the
speeds.
Hint (Problem 60)
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One centimeter = 10 millimeters
Hint (Problem 61)
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Set up a proportion:
½ inch = 3 feet
inches
x
Hint (Problem 62)
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For each printer, determine how many
pages are printed in 1 minute
Compare the number of pages per minute
to determine greatest number printed
Hint (Problem 63)
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Multiply the number of pounds per square
inch by the number of square inches.
Hint (Problem 64)
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Divide the number of person-hours by the
number of people working
Hint (Problem 65)
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Set up a proportion:
1 lempira= 300 lempiras
6 cents
x
Hint (Problem 66)
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Base 1 (b1) = 11
Base 2 (b2) = 8
Height (h) = 4
Slant (s) = 5
Hint (Problem 67)
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Find the area of the rectangle first
Find the area of 1 triangle (1/2 base x
height)
Multiply the area of 1 triangle by 4 (for all
triangles)
Subtract the area of the 4 triangles from
the area of the rectangle
Hint (Problem 68)
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Find the area of the smallest rectangle
Add 5 to the height to find the area of the next
rectangle
Add 5 more to the height to find the area of the
3rd rectangle
Add 5 more to the height to find the area of the
last rectangle
Add the area of the rectangles together to find
the overall area of the staircase
Hint (Problem 69)
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Volume = length x width x height
Hint (Problem 70)
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12 inches = 1 foot
3 feet = 1 yard
1 foot = 30.48 centimeters
Hint (Problem 71)
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Determine what the length needs to be to
get an area of 20 square units
Find which answer fits to make a
rectangle with the right length
Hint (Problem 72)
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Divide AC by 2 to get the length of DC
Pythagorean Theorem:
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a2 + b2 = c2
a = DC
c = 25 cm
b2 = c2 – a2
√b2 = b
Hint (Problem 73)
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Pythagorean Theorem:
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a2 + b2 = c2
a = 8 cm
c = 17 cm
b2 = c2 – a2
√b2 = b
Hint (Problem 74)
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Instead of the difficult math involved:
Remember perimeter is the distance
around the outside (add up all outside
lengths)
Look at the answers:
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2 are already too small
1 is much too large
Only 1 answer makes sense
Hint (Problem 75)
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Congruent means:
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The same side lengths
The same angle measurements
Hint (Problem 76)
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For a box-and-whisker plot:
From left to right:
Low score
 Lower quartile
 Median
 Upper quartile
 High score
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Median is the one in the middle
Hint (Problem 77)
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Reading the graph:
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Going
Going
Going
Going
right increases
left decreases
up increases
down decreases
Hint (Problem 78)
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For a box-and-whisker plot:
From left to right:
Low score
 Lower quartile
 Median
 Upper quartile
 High score
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Median is the one in the middle
Hint (Problem 79)
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To find the median of data:
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Order from least to greatest
Median is the number in the middle
Subtract the median of one sandwich from
the other
Hint (Problem 80)
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To find the median of data:
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Order from least to greatest
Median is the number in the middle
Congratulations!
It’s over!