Math Review Week 1

Math Review Week 1STANDARD QUESTION

Number and OperationsSPI 0806.2.1

Write the numbers in order from least to greatest.2/3, -0.36, 0.2, -1/4

Algebra0806.3.1

Evaluate x – y(z +y) for x =20, y = 4, z = 2

Geometry/MeasurementSPI 0806.4.1

In a right triangle, one leg is 3 cm, the other leg is 4cm, what is the length of the hypotenuse?

Data, Statistics, and ProbabilitySPI 0806.5.1

A bag has 5 blue marbles, 3 green marbles, and 7 yellow marbles. If a marble is picked from the bag, what is the probability that it will be green?

Pot Luck0806.3.1

Simplify: 84 – [8 – (-2)3]


Number and Operations0806.2.2

Simplify √169

Algebra0806.3.1

Simplify: 2b 2b 2b 2b∙ ∙ ∙


15 cups = _____pints

Data, Statistics, and Probability

Find the mean, median, and mode of the following data set: 10,6,91,5,8,6

Pot Luck0806.3.1

Find (2/3)(12)



Evaluate 24 8 (22)2

AlgebraSPI 0806.3.6

Determine the x- and y- intercepts of 5x + 10y = 20.


Joe ran 43 meters on Friday. How many kilometers did Joe run?


The high temperatures for the last 5 days have been 90°F, 72°F, 74°F, 85°F, and 89°F. What was the median high temperature for these 5 days?

Pot LuckSPI 0806.1.3

14 bagels cost $4.98. How much does one bagel cost? Round your answer to the nearest cent.



What is the value of this expression? (1.5 x 102) x (2.3 x 103)

Algebra0806.3.1

If m represents a positive number, what is m+ m + m + m equivalent to?


Determine how many inches are in 3 yards.


In a bag of cards 1/6 are green, 1/12 are yellow, 1/2 are white and 1/4 are blue. If someone takes a card from the bag without looking, which color is it most likely to be?


Russell drove 65.8 kilometers on Monday. On Wednesday, he drove 89.2 meters. How many more kilometers did Russell drive on Wednesday than on Monday?



Evaluate 25

22

Algebra0806.3.1

Evaluate -2p + 3 for p = 3.


Tracey drinks approximately 6 cups of water a day. About how many gallons of water does she drink in a year?


Using a standard pair of dice, which of the following is an example of mutually exclusive events? PROBLEM NOT COMPLETE

Pot Luck0806.3.13

If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?



(9 ÷ 3) x (8 ÷ 4) =

Algebra0806.3.1

Simplify and evaluate -3x - 10(x - y(5 - x) + 7) – 3 for x = 4, y = -2.


One gallon equals _____________ cups.


When Jake started working, he made $5.25 an hour. After six months, he made $5.85 per month. What is the most likely reason for the increase in pay?

Pot Luck0806.3.13

The sales price of a car is $12,590, which is 20% off the original price. What is the original price?


Number and Operations 0806.2.2

What is the positive square root of 49?

AlgebraGLE 0806.3.2

If N ÷ 24 = 6, then N is _____.


Which cities are the farthest apart?


Jade has a bag of marbles. There are 2 red, 3 blue, 2 yellow, and 5 green marbles. What is the probability Jade will choose a red marble?

Pot Luck0806.3.13

The city council has decided to add a 0.3% tax on motel and hotel rooms. If a traveler spends the night in a motel room that costs $55 before taxes, how much will the city receive in taxes from him?



What two integers is -√7 between?

AlgebraSPI 0806.3.2

What is the solution for x in the equation f(x) = g(x), where f(x) = 30−0.5x and g(x )= 2x−15?


The distance between London and Paris is about 340.6 kilometers. Which is closest to this distance in miles? (1mile ≈1.61 kilometers)


Mrs. Martin has a six sided die. She states that she can roll a 2 one-third of the time. How many times will she roll a 2 if she rolls the die 6 times?


A brand new one-dollar bill is 4.3×10−3 inch thick. What would be the thickness of a stack of 450 brand new one-dollar bills?



What Is the value of (9 x 1036) 3 x 109

AlgebraGLE 0806.3.2

Solve 18 + y = 45 for y.


Jerry needs 402 feet of fencing for an enclosure. How many yards of fencing does he need?


Using a standard pair of dice, which of the following is an example of mutually exclusive events? PROBLEM NOT COMPLETE

Pot LuckGLE 0806.2.3

The secretary purchases 1,710 pens and 12 staplers for the front office. Pens are purchased in sets of 6 for $1.55 per pack. Staplers are sold in sets of 2 for 8.95. How much will purchasing these products cost?



Simplify (√81)2

AlgebraGLE 0806.3.2

Solve for x. -18 - 6x = 6(1 + 3x)


300 kilograms = _____ milligrams


Jerrica has a bag with 3 blue, 6 orange, 2 red, and 5 yellow marbles. What is the probability of choosing a red marble and then a yellow marble without replacing the first marble?

Pot Luck0806.3.13

If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?



If h = 9, what is √4h

AlgebraGLE 0806.3.2

Solve for x. 6(1 – 3x) – 2(2x –1) = -18x


Joe ran 43 meters on Friday. How many kilometers did Joe run?


Jane has a bag of 3 red chips, 2 blue chips, and 6 white chips. What is the likelihood that Jane will pick a white chip from the bag?


A shirt costs 75 less than a sweater and pair of pants costs twice as much as the same shirt. If the sweater costs $35, how much do the pants costs?



Find the missing number.0.2, 0.4, ?, 0.8, 1.0

AlgebraGLE 0806.3.2

Solve: 17 - 3x = 8


Matthew measured a right triangle with a hypotenuse 10 centimeters (cm) long and one leg 6 centimeters long.What is the length of the other leg of the triangle Matthew measured?


Mrs. Martin has a six sided die. She states that she can roll a 2 one-third of the time. How many times will she roll a 2 if she rolls the die 6 times?

Pot LuckSPI

Marilyn managed to sell 3/5 of her cakes. a. What percentage of cakes was sold?b. What percentage of cakes was left?



Find the product of(5.8×1034) and (4.7×1015)?

AlgebraSPI 0806.3.5

What is the slope of the line represented 4x + 2y = 12 ?


Ann's car gets 27.5 miles per gallon of gas. How far can Ann drive if she uses 15 gallons of gas?


Lindsey collected pledges for a charity bike ride. Last week she collected the following amounts:Monday - $42.00 Tuesday - $59.00Wednesday- $75.00 Thursday- $25.00Friday - $25.00 Saturday - $97.00 Sunday - $25.00What was the median amount that Lindsey collected?

Pot Luck0806.3.2

Tina's brother is 6 years old. The quotient of Tina's age (t) and her brother's age is 3. Write this information in an algebraic equation.


Number and Operations SPI 0806.2.1

Evaluate 3 + 6 x (5 + 4) ÷ 3 - 7 using the order of operations.

Algebra0806.3.1

Evaluate (5a - 3) - (8a - 6) with a = -11.


Use a2 + b2 = c2 to determine the approximate length of the string on the kite.


There are 10 pieces of paper in a hat numbered 1 through 10. Andre needs to pick a 2 and then a 5 in order to win. The first piece of paper is not replaced. What are his chances of winning?

Pot Luck0806.3.1

Raymond and his mother picked all the peaches from their tree to make peach preserves. They used 15 peaches for each jar of preserves. They made 12 jars of preserves and still had 40 peaches left over. How many peaches did they get from their tree?



Simplify √225 + √16

AlgebraGLE 0806.3.2

Solve for m. m + (-13) = 39


One mile is how many inches?


Two number cubes, each with faces numbered 1 through 6, are rolled at the same time. What is the probability that at least one of the cubes will land on 6?

Pot Luck Lindsey has been monitoring her mileage. According to last week’s driving log, she drove 9 5/6 miles in her car and 10 2/3 miles in her truck. How far did Lindsey drive last week in all?Simplify your answer and write it as a proper fraction or as a whole or mixed number.



The length of the equator is about 40,100,000 meters. How is this length expressed in scientific notation?

Algebra0806.3.1

Which expression is equivalent to -2 (5y - 3 + 4a) ?


Mrs. Freeman, the drama teacher, drew the Following diagram for herstage manager. How far is the table away from the stool?


During 4 nights of working as a waiter, Billy earned $9.50, $14, $9.50, and $11.50 in tips. What was the median amount of money Billy earned in tips for those 4 nights?


Find the cost of 14 feet of rope if it costs $0.23 per yard.



Order the numbers from least to greatest-6.6, l6l, 1/6, 62

AlgebraGLE 0806.3.2

Solve for x: 6x + 1_ = 9x – 4 5


Determine how many centimeters are in one kilometer.


The five pieces of paper below are in a bag.

What is the probability that a piece of paper with the letter “E” will be drawn first?


If a gallon of oil costs $2.35 and a quart of oil costs $1.50, how much is saved by buying the oil in gallons instead of quarts if a person needs 5 gallons of oil?



Find the value of the ? in the given statement.

AlgebraGLE 0806.3.2

Simplify 2x = 6 3


oz = 28.3495 g 1 g = .0353 oz Approximately how many ounces are in 300 grams?


Katilia has a die with 6 sides. What is the likelihood that she will roll a 2 then a 4?


If a family uses one quart of milk per day, how many gallons are used in one year and a gallon of milk costs $3.45? (wording off here)



Evaluate 9 - 5 ÷ (8 - 3) x 2 + 6 using the order of operations.

AlgebraSPI 0806.3.6

Find the x- and y- intercept of 2x + 4y = 12.


A quart is what fraction of a gallon?


David owns a dog named Wishes. David reached into his box of 8 lamb-flavored, 12 liver-flavored, 6 chicken-flavored, and20 milk-flavored dog biscuits and gave one to Wishes without looking. What is the probability of Wishes getting a liver treat?


CREEP CRAWLY PUNCH• 8 cups pineapple juice• 1 gallon grape juice• 3 quarts Sprite• 2 quarts chocolate ice cream• 3 packs of gummy wormsYou have 2 pints of pineapple juice. Do you have enough?



Order the set of numbers from greatest to least. 5.0321, 5.0301, 5.0331, 5.0306, 5.039

Algebra0806.3.13

There were 268 people at a party, 3 times as many people ate chocolate cake than vanilla cake. How many people ate chocolate cake?


47 yards = _____ inches


Jane has a bag of 3 red chips, 2 blue chips, and 6 white chips. What is the likelihood that Jane will pick a white chip from the bag?


Write down your height (in feet and inches): _____________________. What is your height in grams?



Surface area of a sphere is given as S = 4r2 where r represents the radius of the sphere. What is the surface area of a sphere of radius 9 centimeters? (Use = 3.14 )

AlgebraGLE 0806.3.2

Solve the equation: 3x + 9 = 21


657 meters = _____millimeters


Use a2 + b2 = c2 to determine the approximate ground distance from the base of the building to the base of the ladder.


Which costs the most per ounce, 60 oz of peanut butter for $5.40, 28 oz for $2.24, or 16 oz for $1.76?



A list of temperatures for this week are listed in the table to the right. What day will have the lowest temperature?

AlgebraGLE 0806.3.2

Solve: -3x > -15


4 miles is how many kilometers?Hint: 1 mi ≈ 1.6 km


Katie has one standard die. Make a prediction of how many times Katie will roll a 5 if she rolls the die 6 times.


Solve for p. (-3/5)p + (3/4)p = 22 I added parenthesis to this problem unless the intention was for variable to be in the denominator.



The distance light travels in one year (one light-year) is 5,880,000,000,000 miles. What is this number in scientific notation?

AlgebraSPI 0806.3.5

Graph the line containing (2, 2) and m = ¾.


How many centimeters are in 4 meters?


Use a2 + b2 = c2 to determine the approximate length of the rope from the top of the wall to the floor.

Pot Luck0806.3.1

Evaluate: 6 + (2 ÷ 63 ÷ 2) + 7



How do you write 25 in scientific notation?

AlgebraGLE 0806.3.2

What order of operations is needed to solve 2x + 1 = 8 for x?


15 mm is equal to ________ meters.


The cable company is installing a new fiber optic cable between two new offices. The first new office is located 4 miles north of the central office. The second new office is located 11 miles east of the central office. How many miles of cable will be needed to connect the 2 new offices. Round the answer to the nearest tenth.

Pot Luck0806.4.6

Brittany can ride his bike 35 miles in 108 seconds. What is his rate per hour?



Scientists believe that a large asteroid may have hit Earth about 65 million years ago, killing off the dinosaurs. Which of the following correctly identifies 65 million expressed in scientific notation?

AlgebraGLE 0806.3.2

Solve for x. 5x – 1 8x + 2


How many dekameters in 15 hectometers?


Using the Pythagorean Theorem, what is the length of for the graph shown to the right?

Pot Luck Calculate 2 + 3 x 2 2 3 4 5 5



Represent 0.000000296 in scientific notation.

Algebra0806.3.9

Determine the range of the equation y = 2x + 1 if the domain is x = 5.


Pipefitters who install sprinkler systems into school buildings must purchase pipe for the water to flow. If Robert purchases a pipe that is 1.5 dekameters long, how many meters is the pipe's length?


Quincy has a die with 6 sides. What is the likelihood that he will roll a 3 then an 8?

Pot Luck0806.2.6

Evaluate: (23 − 12) × (43 ÷ 73 ÷ 8) - 3



Express in scientific notation: 60,100,000

AlgebraSPI 0806.3.1

At a wedding there were 331 guests plus the bride and groom. Everyone was given the choice between chicken and fish for dinner. Twice the number of people chose chicken over fish. How many chicken dinners were served?


A chemical costs $5.25 per pound. What would be the cost of 25.0 kg of the chemical?


The basket of golf balls at a miniature golf course contains 20 golf balls, of which 8 are red. What is the probability that a randomly selected golf ball will be red?


A truck is traveling at a speed of 42 miles per hour. What function gives the number of miles d driven in t hours?



Uranium-238 and Plutonium-239 are radioactive substances. The half-life of Uranium-238 is 4.5 billion years and that of Plutonium-239 is 24000 years. How many times greater than Plutonium-239 is the half-life of Uranium-238?

AlgebraGLE 0806.3.2

Solve for y. 2y – 6 > 5 - y


Compare using <, >, or =.36 km _____ 6 m


You roll a 6-sided die. What is P(4)? Simplify your answer and write it as a fraction or whole number.


Rob is going to college in Oklahoma which is 680 miles from his home in Tennessee. He can travel on state highways at 55mph or on the interstate at 70mph. Approximately, how much longer will his trip be if he takes state highways?



Simplify √72/√8

AlgebraSPI 0806.3.1

Does the point (0, 7) satisfy the equation y = 9x2 + -2x + 7?.


Two angles (x + 3)° and (x + 1)° are complementary. Find the measures of the angles.


James flips a coin one time. What is the probability that he flips "heads"?

Pot Luck0806.3.2

Translate the following sentence into an algebraic equation. Twelve decreased by the quantity five times a number is negative twenty three.



If p = √2, then p3 = ?

Algebra0806.2.2

Represent the next item in the pattern using mathematical symbols.


475 cg = _____ mg


Micah is playing a board game. What is the probability that he will roll two dice and get a 12? P(12)

Pot Luck0806.4.6

24 meters in 30 seconds = ____ meters in 45 seconds



Simplify: 43 ÷ 22

AlgebraSPI 0806.3.6

Determine the domain of the equation: 3x + 5y = 12


5 meter = ______ feetHint: 1 meter = 3.281 ft


Last February it was sunny 15 days, cloudy 7 days, and it snowed 9 days. Based on this information, what is the probability that it was cloudy on a randomly selected day in February?


Solve for b. 9.85b = 2.68 - 3.68b


Number and OperationsGLE 0806.2.4

Simplify: (43)(22)

AlgebraSPI 0806.3.5

What is the slope of the line represented by y = -2?


Sam is building a triangular sandbox for his little brother. He has already installed two of the sides at a right angle. One of these sides is 3 feet long and the other side is 4 feet long. How long should the last side be?


Last January it was sunny 15 days, cloudy 7 days, and it snowed 9 days. Based on this information, what is the probability that it snowed on a randomly selected day in January?

Pot Luck0806.3.1

Evaluate: (42 + 23) − (34 ÷ 33 − 3)



Solve: [[32]3]2

AlgebraSPI 0806.3.5

What is the slope of a line represented by x = 3.


Kimberly built a skateboard ramp with the measurements below. What is c, the length of the ramp?


Mitchell flips a coin two times in a row. What is the probability that he will get tails both times?


One number is 20 less than a second number. Three times the first number added to twice the second number is 65. Find the two numbers



Evaluate (-2)4(-2)-4

AlgebraSPI 0806.3.6

Find the equation of the line that has a slope of -2 and passes through the point (0,5) in slope-intercept form.


Charles measured a right triangle with a hypotenuse of 20 cm long and one leg 12 cm long. What is the length of the other leg of the triangle Charles measured? Use a2 + b2 = c2


Peggy will flip a fair coin one time and randomly select a marble from a bag. There are 5 red marbles and 12 purple marbles in the bag. What is the probability that the coin will land on tails and the marble will be purple?

Pot Luck0806.3.1

Evaluate: 23 + (8 × 8 − 4 ÷ 8)



Perform the indicated operation 1.5 x 106__ 2.3 x 10-4

AlgebraSPI 0806.3.1

What is the value of y in the solution for the system of linear equations below?x + 5y = 3 and 3x = 6


Five miles are how many inches?


Jeff believes that when he tosses one die that he will roll a 1 or a 6 only of the time. Test Jeff's conjecture and determine the theoretical probability of rolling a 1 or a 6. (wording is not right on 1st sentence)

Pot Luck0806.4.6

Amy is painting her room using paint that covers 1 gallon:200 sq. ft. The room has 400 sq. ft. How many gallons does she need?



Multiply (1.45 x 10-3) x (3.45 x 103)

AlgebraSPI 0806.3.6

What are the x and y intercepts for the function rule f(x) = 3x + 2?


Determine how many milliliters are in five liters.


What is the probability of rolling a 3 on a number cube and getting a head when you flip a coin?


Find the slope and intercepts of y = ½x - 4.


Number and OperationsGLE 0806.2.4

Rewrite using positive exponents: x-2z8y-9

x-5zy3

AlgebraSPI 0806.3.5

What is the slope of the line represented by 2x + 3y = 6?


25 ml is equal to ________ centiliters.


What is the probability of choosing a king from a standard deck of playing cards?


What is the difference between a linear equation and a non-linear equation?



Evaluate:- [[-22]2]4

AlgebraSPI 0806.3.5

Which equation represents the table to theright?


1,056 hours = _______ minutes


What is the sample space for choosing a letter from the word graduation?


89.50 Fahrenheit = _____0 Celsius



The thickness of one grain of pepper is 2.3 × 10-2 inches. Express the thickness of one grain of pepper as a conventional number.

AlgebraSPI 0806.3.1

What is the value of x in the solution to this system of linear equations? y = -x 3x + 3y = -4


25 days = ________ seconds


What is the probability of choosing a jack, a king or an ace from a standard deck of playing cards?

Pot Luck0806.3.9

Solve for y. 2y – 4 > 6



Multiply (2.45 x 109) x (3.12 x 102)

AlgebraGLE 0806.3.2

If f(x) = 3x + 7, then f(0) = ___


Find the area of a rectangle that has a length of 2 inches and a width of 3 cm. Hint: 1 inch = 2.54 cm


A bag contains 2 purple marbles, 13 yellow marbles, 8 red marbles, 11 blue marbles, and 10 green marbles. What is the probability of pulling out a purple or a green marble?


Camden is buying dried fish food for her tropical fish. She has a choice of 3 sizes: 16 oz. box for $3.52, 9 oz. box for $2.79, or a 21 oz. box $4.62. Which size box gives her the best buy for her money?



Evaluate 34 32; write your final answer as an exponent.

AlgebraSPI 0806.3.7

Which of these are not linear? a. y = x3 - 2 b. y = 3x4 - 15 c. y = ½ + x2

d. y = 3x - 1


In a right triangle, one leg is 6 cm, the hypotenuse is 15 cm, what is the length of the other leg?


The sides of number cube have the numbers 1, 2, 4, 8, 9, 4, and 7. If the cube is thrown once, what is the probability of rolling a 4?

Pot Luck0806.1.4

Nicole needs to make potato salad for a luncheon at her church. Her recipe serves 10 people but there will be 45 at her luncheon. The recipe calls for ¼ cup mayonnaise. She needs to buy mayonnaise at the store but she is not sure how much she will need. To make her recipe for 45 people, the amount of mayonnaise must increase from ¼ cup to _______ cups.



Write the quotient in scientific notation: 3.5 x 107

7 x 105

AlgebraSPI 0806.3.6

Describe how you would graph the linear equation y = ½ x – 4.


1,080,000 seconds = _______ hours


1950 people were mailed a questionnaire. Only 553 people answered and mailed back the questionnaire. What is the sample size of the survey?

Pot Luck0806.4.6

Sam and Sharon and Joey were training for the track team. Sam could run 4 miles in 30 minutes. Sharon could run 5 miles in 40 minutes. Joey could run 4 miles in 20 minutes. Who runs fastest?



Write the numbers in order from least to greatest.1/3, -0.66, 0.3, -1/3, .32

AlgebraSPI 0806.3.6

What is the domain and range for the following relation: {(5,3), (6,4), (7,5)}?


75 cm = _____ meters.


What is the probability of drawing a heart or an ace in a standard deck of 52 cards?

Pot Luck0806.3.1

Add: (-10) + 40 + 34 + (-60)



What number is equivalent to (49)1/2?

AlgebraSPI 0806.3.1

Solve the following system of equations. 4x + y = 45 x + y = 15


1 m = 3.2808 ft How many meters high is 360 inch telephone pole?

Data, Statistics, and Probability0806.3.13

Tracey has the following data: 2, 4, x, 5, 6If the median is 4.5, what is the value of x.


Joe traveled to his grandmother's house for a summer vacation. It took him 3 ½ hours to get there. If he traveled 122.5 miles, what was his average speed? Use d = rt



Planet Zorton is 68,820, 000 miles from planet Aerbon. Express this distance in scientific notation.

AlgebraSPI 0806.3.5

What is the slope of y = 3x + 6?


Find the length of the missing side


A fair six-sided die is rolled. What is the probability that the number rolled is a prime and even number?

Pot Luck0806.3.1

Use the correct order of operations to determine each answer.5 x 22 ÷ 2 × 10 + 23 × (11 - 4) - 24 × (23 - 18)

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Math Review Week 1