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CST Review Questions Good luck! Number sense: 1.1 Hint (Problem 1) Add a decimal Move the decimal Count the number of spaces Use that as the exponent Number sense: 1.1 Hint (Problem 2) 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) The exponent goes to every number inside the parentheses Multiply out the numbers Number sense: 1.2 Hint (Problem 4) Since all items are the same price, divide Number sense: 1.2 Hint (Problem 5) 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) Put a 1 under the whole number Multiply straight across Number sense: 1.2 Hint (Problem 7) “Dirty shoes stay outside” Divide, turn into decimal form Number sense: 1.3 Hint (Problem 8) Change the fraction into decimal form (“dirty shoes stay outside”) Round the dollar amount Number sense: 1.3 Hint (Problem 9) Rational numbers are: Whole number (positive or negative), Decimals, or Fractions Irrational numbers are: Never-ending decimals or Square roots with no solutions Number sense: 1.4 Hint (Problem 10) Divide: “dirty shoes stay outside” Number sense: 1.4 Hint (Problem 11) Change percent to decimal (move decimal 2 places to the left) Multiply Number sense: 1.5 Hint (Problem 12) 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) Change percent to decimal (move decimal to the left 2 places) Multiply Number sense: 1.7 Hint (Problem 14) Change percent to decimal (move decimal to the left 2 places) Multiply Number sense: 1.7 Hint (Problem 15) 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) 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) 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) Add the exponents Number sense: 1.7 Hint (Problem 19) Add the exponents Number sense: 1.7 Hint (Problem 20) 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) 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) Add exponents Number sense: 2.2 Hint (Problem 23) 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) What number, multiplied by itself, equals 225? Number sense: 2.3 Hint (Problem 25) 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) 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) Find the absolute value of each number. Determine which is smallest. Number sense: 2.4 Hint (Problem 28) Find the absolute value of each number. Determine which is closest of 5. Number sense: 2.4 Hint (Problem 29) What math operation is “sum”? What does the word “is” mean? Number sense: 2.4 Hint (Problem 30) 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) 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) 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) 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) Factor (divide) the 3 from both numbers. Or, look at the solutions and see which could equal the question. Hint (Problem 35) Inverse can mean the same thing as reciprocal. Hint (Problem 36) 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) Distributive property: 2(x+3)=2x+6 Hint (Problem 38) Inequality means not equal. Hint (Problem 39) Locate several coordinates on the table that match the graph. Hint (Problem 40) Look at the graph between 2 and 3pm. See the shape of the graph and decide which sentence best describes it Hint (Problem 41) Use exponent knowledge Hint (Problem 42) 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) 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) 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) Up = slope over Hint (Problem 46) Find the slope two times and see which sentence matches the answer Hint (Problem 47) Up = slope over Hint (Problem 48) 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) Do the opposite operations: The opposite of addition, The opposite of division (or multiply by the reciprocal) Hint (Problem 50) Solve for z: Do the opposite operations: Opposite of addition, Opposite of multiplication Keep the inequality symbol (>) the same. {z: …} means that z is from the set of … Hint (Problem 51) Do the opposite operations: The opposite of addition, The opposite of multiplication CAREFUL with those negatives Hint (Problem 52) Subtract to find how much money she still needs Divide to determine how many hours she still needs to work Hint (Problem 53) Do the opposite operations: The opposite of addition, The opposite of multiplication Hint (Problem 54) 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 Hint (Problem 56) Set up a proportion: weight = weight inches x Hint (Problem 57) Add together the number of miles driven Divide by the miles per gallon to find the number of gallons Hint (Problem 58) 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) 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) One centimeter = 10 millimeters Hint (Problem 61) Set up a proportion: ½ inch = 3 feet inches x Hint (Problem 62) 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) Multiply the number of pounds per square inch by the number of square inches. Hint (Problem 64) Divide the number of person-hours by the number of people working Hint (Problem 65) Set up a proportion: 1 lempira= 300 lempiras 6 cents x Hint (Problem 66) Base 1 (b1) = 11 Base 2 (b2) = 8 Height (h) = 4 Slant (s) = 5 Hint (Problem 67) 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) 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) Volume = length x width x height Hint (Problem 70) 12 inches = 1 foot 3 feet = 1 yard 1 foot = 30.48 centimeters Hint (Problem 71) 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) Divide AC by 2 to get the length of DC Pythagorean Theorem: a2 + b2 = c2 a = DC c = 25 cm b2 = c2 – a2 √b2 = b Hint (Problem 73) Pythagorean Theorem: a2 + b2 = c2 a = 8 cm c = 17 cm b2 = c2 – a2 √b2 = b Hint (Problem 74) Instead of the difficult math involved: Remember perimeter is the distance around the outside (add up all outside lengths) Look at the answers: 2 are already too small 1 is much too large Only 1 answer makes sense Hint (Problem 75) Congruent means: The same side lengths The same angle measurements Hint (Problem 76) For a box-and-whisker plot: From left to right: Low score Lower quartile Median Upper quartile High score Median is the one in the middle Hint (Problem 77) Reading the graph: Going Going Going Going right increases left decreases up increases down decreases Hint (Problem 78) For a box-and-whisker plot: From left to right: Low score Lower quartile Median Upper quartile High score Median is the one in the middle Hint (Problem 79) To find the median of data: Order from least to greatest Median is the number in the middle Subtract the median of one sandwich from the other Hint (Problem 80) To find the median of data: Order from least to greatest Median is the number in the middle Congratulations! It’s over!