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TCAP REVIEW PREP (DAILY MATH) 2011 Math Journal 02.01.11 Henry drew a quadrilateral with only one pair of In the model below, white tiles equal +1 and parallel sides. What type of quadrilateral did black tiles equal -1. What is the result of this Henry draw? addition problem? A.trapezoid B.square C.rectangle D.rhombus A.-9 B.-3 C.3 D.9 What two steps can be taken to correctly solve the following equation? 3x + 14 = 23 A. First add 14 to each side of the equation. Then multiply each side by 3. B. First add 14 to each side of the equation. Then divide each side by 3. C. First subtract 14 from each side of the equation and then multiply each side by 3. D. First subtract 14 from each side of the equation and then divide each side by 3. Math Journal Which of these numbers is equivalent to the fraction 8/10? A.8.0 B.1.5 C.0.8 D.0.15 02.02.11 Three of the angles inside a quadrilateral measure 50°, 130°, and 135°. What is the measure of the 4th angle? A.15° B.30° C.45° D.60° Shanda found ½ of a lemon pie in the refrigerator. She and her two friends decided to divide it equally. What part of the whole pie did each of the 3 girls get? A.0 B.1/6 C.2/3 D.5/6 Math Journal 02.03.11 The grocery store is having a sale: buy 2 sixpacks of soda and get 1 free. One six-pack costs $2.25. Which equation is the correct representation of c, the total cost of 3 six-packs of soda? Robin spends $2.85 a day on school lunches. She purchases lunches 5 days a week. A.2.25 + 1 = 2c B.c= (2 x 2.25) + 1 C.(c + 2) x 2. 25 = 1 D.c = (3-1) x 2.25 A.$50 B.$60 C.$75 D.$100 About how much does she spend on lunches in a 4-week period? Franklin School is having an ice cream party. The principal wants to know what kind of ice cream he needs to order. Which of the following would be an unbiased sample? A.Ask five students from each homeroom which ice cream they prefer. B.Ask all of the athletes which ice cream they prefer. C.Ask all of the boys which ice cream they prefer. D.Let the principal and vice principal pick their favorite. Math Journal 02.04.11 Look at the circle below. Using 3.14 for Π, what is the area of the circle? Which expression says, “the sum of 7 and the quotient of x and 8”? A = Π r2 A.7 + 8x B.7 + 8 – x C.7 – 8x D.7 + x 8 A.6.28cm2 B.7.14cm2 C.12.56cm2 D.50.24cm2 4cm Kirsten wants to cover a box with newspaper on every side. To calculate how much newspaper she will need, she will use the formula for surface area of a prism, SA = 2lw + 2hw + 2lh How much newspaper will Kirsten need? 3ft A.52 ft2 B.44 ft2 2ft C.26 ft2 4ft D.24 ft2 Math Journal 02.07.11 Evaluate the following expression. Evaluate: 4.3 + 6 x 2.1 + 5 x 0.2 2 ½ x ( 3 1/3 ) A.72.34 B.17.9 C.14.7 D.5.325 A.1 B.6 C.6 1/6 D.8 1/3 Lorraine works at the deli in the grocery store. She started her job making $6.75 an hour in 2001. Each year she gets a raise as shown in the chart. The amount of her raise stays the same each year. What was Lorraine’s hourly pay for 2008? A.$15.00 B.$12.00 C.$11.25 D.$9.75 YEAR HOURLY PAY 2001 $6.75 2001 $7.50 2003 $8.25 2004 $9.00 Math Journal 02.08.11 Which number sentence shows how to use the distributive property to simplify an expression? Craig is going to roll a number cube labeled with the numbers 1 through 6. (Like a normal die.) What is the probability that he will roll a 1, 2, or a 3. A.4 x (3 + 2) = 12 + 8 B.5 x (7 + 4) = 5 x 11 C.(6 + 5) + 1 = 6 + 6 D.(3 – 1) – 6 = 2 - 6 A.25% B.33% C.40% D.50% Mrs. Rodolfo is opening a pet store and wants to see which breeds of dogs are popular in her community. Which of the following would be the BEST group to survey? A.20 owners at a dog show to see what types of dogs they own B.the first 10 customers leaving the local animal shelter with newly-adopted dogs C.60 people at the airport to see what types of dogs are popular in a variety of communities D.50 people walking their dogs near the new store to see what types of dogs they own Math Journal Mr. Willowbrook sells gumballs for $0.06 each at his store. If he sells $0.96 worth of gumballs, how many gumballs did Mr. Willowbrook sell? A.21 B.16 C.11 D.6 02.09.11 Which of the following illustrates the commutative property of multiplication? A.6 x 7 x 8 = 8 x 7 x 6 B.5 x 1 = 5 C.(4 x 3) x 2 = 4 x (3 x 2) D.3 + 0 = 3 Using the formula Volume = length x width x height, what is the volume of the prism? A.40 cm3 B.50 cm3 C.200 cm3 D.250 cm3 5 cm 10 cm 4 cm Math Journal Meghan wants to buy the following items: Ball- $3.89 Bat- $31.58 Glove- $43.99 What is the best estimate of the total cost of these items? A.$65 B.$69 C.$73 D.$80 02.10.11 Beth is making 4 batches of cookies for the school bake sale. The recipe calls for 1 ¼ cups of sugar for each batch of cookies. How many cups of sugar does Beth need? A.4 ½ B.4 ¾ C.5 D.5 ½ Brady got a total of 272 points on 3 tests. He knows he scored 84 on the second test and 90 on the third test. He cannot remember what his score was on the first test. Which number sentence can he use to figure out his score on the first test? A.n + 84 + 90 = 272 B.n – 84 – 90 = 272 C.272 + n = 84 + 90 D.272 ÷ n = 84 + 90 Math Journal Justin had $60 worth of quarters in a bag. He took 48 quarters out of the bag. How much money was left in the bag? A.$12 B.$36 C.$48 D.$108 02.11.11 Beth is making 4 batches of cookies for the school bake sale. The recipe calls for 1 ¼ cups of sugar for each batch of cookies. How many cups of sugar does Beth need? A.4 ½ B.4 ¾ C.5 D.5 ½ The chart below shows the cost of rides at the carnival. Use the chart to predict how many rides you could purchase for $5 Amount # of Rides A.12 $1 2 B.14 $2 5 C.16 $3 8 D.18 $4 11 Math Journal The formula below is used for converting temperature in degrees Fahrenheit (F) to temperatures in degrees Celsius (C). Use the formula to find the temperature in Fahrenheit when it is 35 degrees Celsius. F = 9/5 C + 32 A.95 °F B.67 °F C.63 °F D.31 °F 02.14.11 Suppose Art chooses a card at random from those below. What is the probability that he will choose a letter in his name? M A T H A.1/4 B.½ C.3/4 D.1/1 Given a cylinder with a volume of 90 cubic inches, find the volume of the cone with the same base and height. Volume of a cone = 1/3 Π r2 h Volume of a cyliner = Π r2 h A.270 cubic inches B.90 cubic inches C.30 cubic inches D.10 cubic inches V = 90 in3 Math Journal 02.15.11 Two of the angles inside an isosceles Which of these shapes could have 4 triangle measure 50° and 80°. What is vertices and sides that are all different the measure of the third angle? lengths? A.20° B.50° C.80° D.100° A.a triangle B.a parallelogram C.a pentagon D.a trapezoid A study will examine the television watching habits in the sample populations from two distant cities, W and E. Which of the following would result in a sample with the LEAST bias? A. Survey randomly selected people living in city W and randomly selected people living in City E B. Survey randomly selected people living in city W only. C. Survey randomly selected people not living in either city W or city E. D. Survey randomly selected people living in city E only. Math Journal Look at the expression below. Use the associative property to find an equivalent expression. (2.5x)y A.(2.5x)(2.5y) B.2.5(xy) C.(xy)2.5 D.(2x)(0.5y) 02.16.11 Solve the equation below for m: m + 496 + 3271 = 4012 A.m = 240 B.m = 245 C.m = 345 D.m = 542 The drawing shows a circle with a 5-inch diameter. Which is the closest to the circumference of this circle? A.3 in B.8 in C.16 in D.50 in 5 in Math Journal 02.17.11 Todd is drawing a triangle. The length of the shortest side is 3 cm. The length of the longest side is 5cm. Which of the following could NOT be the measurement of the missing side? Solve the inequality and graph: x–1≥4 A.2cm B.3cm C.4cm D.5cm Look at the table below. Which rule can be used to find the value of y for any value of x? A.y = 8x - 2 B.y = 4x - 2 C.y = 3x + 3 D.y = 2x + 4 x 1 2 3 4 5 y 6 8 10 12 14 Math Journal 02.18.11 Marcy wants to cover a cereal box with paper. When could a bar graph be misleading? The cereal box is 8 in long, 2 in wide, and 12 in tall. What is the Surface Area of the box? A.Bars are horizontal SA = 2LW + 2HW + 2LH B.Bars are vertical C.Scale does not start with 0 A.32 in2 D.Scale starts at 0 B.48 in2 C.192 in2 D.272 in2 Reggie is outside a baseball stadium, taking a survey on the most popular sport. He is asking everyone who enters what his or her favorite sport is. Which statement best describes whether or not this sample is biased? A.The sample is unbiased because people at the baseball stadium like all sports. B.The sample is biased because he only asks people who have tickets. C.The sample is biased because he only asks people about sports. D.The sample is biased because he only asks people entering the baseball stadium. Math Journal Suppose you have 6 coins in your pocket totaling 87 cents. Which of the following statements is true about the coins? A.Two of the coins are dimes B.None of the coins are pennies C.Some of the coins are nickels D.Three of the coins are quarters 02.21.11 Dana heard a friend say that when a coin is flipped, it lands on heads most of the time. Dana thinks her friend is wrong. Which of the following is the best way for Dana to prove to her friend that she is right? A.Flip a coin 2 times and record the results B.Flip a coin 3 times and record the results C.Flip a coin 50 times and record the results D.Flip a coin 5000 times and record the results. On Saturday morning, Steve surveyed the people that visited the new clothing store. He discovered that the visitors to the store included 12 children, 50 teens, 30 adults ages 20-35 and 10 adults over the age of 35. Which of the following is a reasonable explanation for the numbers of visitors? A.The store specializes in clothing for teens B.The store specializes in clothing for children. C.The store specializes in adult clothing. D.The store specializes in sports clothing. Math Journal In a random sample of 500 customers at a fast-food restaurant, it was determined that 200 customers ordered a salad. If the restaurant typically has 1000 customers in a day, how many of these customers will probably order a salad? A.450 B.400 C.550 D.4450 02.22.11 Ellen is in Girl Scouts. For a service project, they will be raking leaves. Her troop is made up of 25 girls. The troop leader tells them that they will be in groups of four or five girls. Which statement is true? A.There will be six groups of four. B.There will be only five groups C.There will be at least five groups. D.There will be at least six groups. Kayla is collecting empty soda cans for recycling. The table shows the number of cans she has collected for 4 days. She will continue collecting cans the rest of the week. Which choice best predicts the total number of cans Kayla will collect for the ENTIRE week? A.102 B.225 C.240 D.150 Days Sun Mon Tues Wed Cans 25 37 42 31 Thurs Fri Sat Sun Math Journal It snowed the first four days of the week. ON Monday, 10 in of snow fell. On Wednesday, another 8 in fell and on Thursday, another 4 in fell. What is missing to solve how much snow was on the ground by Thursday? A.A yard stick B.A strong shovel C.The amount of snow on Tuesday D.The average amount of snow. 02.23.11 Estimate the quotient of 37.25 and 2.81 A.9 B.12 C.15 D.19 Hernando wants to buy a CD that costs $15.97 (including tax). He collects his allowance of $3.00 on Fridays. How can he estimate when he will have enough money to purchase the CD? A.divide $16.00 by $3.00 to find the number of weeks B.add $15.97 and $3.00 and save until he has that much money C.subtract $3.00 from $15.97 and save until he has that much money D.multiply $16.00 by $3.00 to find the number of weeks Math Journal 02.24.11 What is a good estimate of 22 x 0.45? Using estimation, choose the most reasonable answer to 828 ÷ 39. A.11 B.44 C.88 D.220 A.19 B.20 C.22.5 D.25 Karl and Callie are looking at the sign-up board for extra-curricular activities. There are 48 students who signed up for sports, 71 students who signed up for clubs, and 25 who signed up for both. How many students signed up for extra-curricular activities? A.94 B.144 C.119 D.25 Math Journal The Hornets have won 8 less basketball games than the Celtics, but 3 more than the Bulls. The Bulls have won 6 less games than the Sonics. How many more games have the Celtics won than the Sonics? A.5 B.6 C.7 D.8 If A.B.- 02.25.11 Sue and Kevin are going to plant a garden this year. They are going to plant 8 rows of tomatoes with 20 in each row. They estimate that it will take them 6 hours to completely plant all of their tomatoes. What is the closest estimation of how many tomatoes they can plant in one hour? A.18 B.24 C.26 D.36 represents -1 and represents +1, which represents -4? C. - Math Journal The elevation of New Orleans, Louisiana is 8 feet below sea level. Which number represents this fact? A.80 B.8 C.-8 D.-80 02.28.11 -15 and 15 are ________. A.absolute B.multiples C.opposites D.positive Geologists explore a cave that was discovered under the local park. They descend about 200 feet into the cave. Which integer best represents how far into the cave they went? A.-2000 B.+200 C.-200 D.+20 Math Journal Put the following numbers in order from least to greatest: 14, 19, 0, 3, -2, -7 A.-2, -7. -19. 0, 3, 14 B.-19, -7, -2, 0, 3, 14 C.14, 3, 0, -2, -7, -19 D.14, 3, 0, -19, -7, -2 03.01.11 What number is 4 less than -5? A.-1 B.1 C.9 D.-9 A submarine found a shipwreck at 1780 feet below the surface of the ocean. A few miles away at 1830 feet, the same submarine found another shipwreck. Compare the depths of the two shipwrecks. A.1830 > 1780 B.-1780 < -1830 C.1830 < -1780 D.-1780 > -1830 Math Journal 03.02.11 Solve using the commutative property: 1 2/9 + 3 4/11 + 2 7/9 + 2 7/11 A.9.98 B.10 C.8 20/99 D.9.96 Simplify by Addition: 7 + (-10) A.17 B.3 C.-3 D.-17 Simplify: 6 (4 + x) A.24 + 6x B.24 + x C.24x D.30 Math Journal Use the distributive property to evaluate the expression below: 17 (3 + 7 + 60) A.1020 B.119 C.51 D.1190 03.03.11 Simplify: -3 ( -5 + 7.6) + 2 ( -1 + 3) A.-3.8 B.3.8 C.-11.8 D.11.8 Which statement shows the commutative property of addition? A.4 x 3 = 3 x 4 B.4 (3 + 5) = 4 x 3 + 4 x 5 C.3 + 6 = 6 x 3 D.5 + 2 = 2 + 5 Math Journal 03.04.11 Which property is shown in the equation: 3 x (4 + 2) = (3 x 4) + (3 x 2) Find the missing factor: A.commutative B.distributive C.associative D.identity A.2 B.5 C.8 D.16 _____ x (10 + 5) = (8 x 10 ) + (8 x 5) Mia runs through obstacle course A three times and obstacle course B twice. Course A is 21.85 m long and course B is 25.75m long. Which equation can you use to find d, the distance Mia runs altogether? A.(21.85 x 3) + (25.75 x 2 ) = d B.(21.85 + 3) + (25.75 + 2) = d C.3(21.85 + 25.75) = d D.(21.85 ÷ 3) + (25.75 ÷2) = d Math Journal 03.07.11 SOLVE: 1/18 ÷ 5/9 A.5/162 B.1/15 C.1/10 D.2/5 SOLVE: 1¾÷½ A.7/8 B.3 ½ C.3 ¾ D.4 ½ Look at the steps below. #1: change each mixed number to an improper fraction #2 keep the first fraction #3 change the sign from ÷ to × #4 cross cancel if possible #5 multiply straight across #6 change any improper fractions to a mixed number and reduce. What place does the following step correctly fit in the steps to divide mixed numbers: Invert the second fraction A.between steps 1 and 2 B.between steps 3 and 4 C.between steps 4 and 5 Math Journal When working with fractions, which statement below is true? A.You must always find a common denominator before working any type of problem involving fractions B.You must always cross cancel before working any type of problem that deals with fractions. C.You need to cross cancel when adding or subtracting. D.You need to find a common denominator when adding or subtracting. Solve: 7/3 ÷ 14/15 A.1/3 B.2/5 C.2 D.5/2 03.08.11 Solve: 2/3 x ½ x 3/5 (multiplying fractions) A.1/5 B.3/5 C.1/6 D.2/5 (dividing fractions) Math Journal 03.09.11 Solve: 11/50 ÷ 12/15 (dividing fractions) A.11/120 B.11/40 C.11/12 D.33/10 Solve: 7/9 x 3/7 (multiplying fractions) A.-3.8 B.3.8 C.-11.8 D.11.8 What is the perimeter of a pentagon with sides of lengths 2.09 m, 4.1 m, 8.357 m, 0.4 m, and 5.3 m? A.8664 B.20.247 C.25.847 D.23.847 Math Journal 03.10.11 Solve: 3 1/8 x 2 4/5 (multiplying mixed numbers) A.4 B.6 C.6 D.8 1/4 1/10 2/3 3/4 Solve: 12/15 ÷ 4/5 A.2/5 B.16/25 C.1 D.1 1/5 Evaluate the following problem using the appropriate steps. Give your answer in simplest terms: 5 1/3 x 2 1/8 A.10 1/24 B.3/4 C.11 1/3 D.34/3 Math Journal 03.11.11 Solve: 3/8 x 4/5 A.1/10 B.3/10 C.3/5 D.4/5 Solve: 4 2/5 ÷ 2 1/8 A.1 B.2 C.5 D.9 2/65 6/85 4/5 7/20 Christina is buying a skirt for $35.95, a pair of jeans for $25.98 and a t-shirt for $11.50. Find the total cost of these items not including sales tax. A.$68.93 B.$73.43 C.$70.63 D.$72.83 Math Journal Twenty five students tried out for the school play. Three-fifths of the students will be chosen. How many students will be chosen for the play? A.20 B.15 C.18 D.21 03.21.11 Solve: 3.9 - 1.68 A.1.11 B.1.41 C.2.12 D.2.22 Katie just bought her favorite magazine for $2.25 at the store. It is published twice a month. A yearly subscription costs $40. How much money would she save if she purchased a subscription instead of buying a single copy each time? A.$14 B.$13 C.$10 D.$12 Math Journal 03.22.11 Solve: 11.01 – 9.78 A.1.23 B.1.41 C.2.12 D.2.22 Solve: 13.29 + 25.96 A.0.51 B.12.67 C.39.25 D.58.88 At Bill’s Drive-Thru, customers always get 1 side order. Yesterday, ¾ of the total 120 customers chose onion rings as their side order. How many customers wanted onion rings? A.115 B.90 C.75 D.23 Math Journal Solve: 5.6225 ÷ 0.55. Round to the hundredth A.3.09 B.3.10 C.10.22 D.10.23 03.23.11 Brett wants to purchase a new DVD box set marked $59.95. The set is marked 30% off the original price. How much is Brett’s discount? A.$17.99 B.$20.98 C.$23.97 D.$41.96 Megan baked a cake that weighed 3 lbs. She gave ½ of it to her mom and then took the rest to her sister. She gave her sister ⅓ of the remaining cake and took the rest home. How much of the original cake did Megan take home? A.3 lb B.1.5 lbs C.1 lb D.0.75 lbs Math Journal Solve: 7/8 ÷ 7/2 (dividing fractions) A.1/4 B.7/16 C.7/4 D.49/16 03.24.11 What is ½ of 0.75? A.0.375 B.0.5 C.0.6 D.0.1 Justin’s mom told him to price the items he wanted for his birthday. The list is below. His mom gave him $90. Which fraction or decimal represents how much he has of the total he needs? A.½ B.0.4 C.one-quarter D.one-third Item Price Helmet $54.99 Nike T-Shirt $18 Game $49 Concert Tickets $62.76 Math Journal 03.25.11 At the Hamburger Drive-Thru, customers always get 1 side order. Last month, ⅗ of the total 115 customers chose french fries as the side order. How many customers A.7.7 wanted french fries? A.20 B.15 C.18 D.21 Solve: ____ is 35% of 220 B.67 C.70 D.77 Tori is making bracelets for 6 friends. Each bracelet will measure 7 ½ in long when it is completed. A package of beads contains 14 beads that are ⅜ in. in diameter. She needs to know how many packages of beads to purchase to make 6 bracelets. A.6 B.8 C.9 D.10 Math Journal What % is ⅜? A.21 B.38 C.55 D.68 03.28.11 Which of the following statements is true? A.¼ = 25% B.¼ = 75% C.¼ = 140% D.¼ > 75% Mark is mixing and bagging nuts, sesame seeds, and raisins for 24 children. He used 2 ⅜ lb of cashews, 1 ½ lb of walnuts, 2 ¼ lb of roasted peanuts, 1 ⅛ lb of sesame seeds, and 1 ¾ lb of raisins. How many ounces of the mixture can Mark put in each bag so that each child has the same amount? A.3/8 B.5 C.6 D.8 Math Journal 03.29.11 What is the value of 8.25 – 1.75 in fraction form? Solve: 0.0025 = _________% A.6 ¾ B.6 ½ C.10 ½ D.10 ¼ A.2.5% B.250% C.25% D..25% Find the missing number in the equivalency chart: A.¾ B.7/5 C.75/10 D.3/5 .25 is equal to ¼ ½ is equal to .5 1/3 is equal to .33 .75 is equal to ??? Math Journal 03.30.11 Which comparison is true? Which pair of numbers is equivalent? A.0.34% = 0.0034 B.0.34 = 0.34% C.0.34% = 0.00034 D.34% = 0.0034 A.¾ , 0.34 B.17%, 1,700 C.2/3, 80% D.40%, 2/5 Identify the percent of change as an increase or decrease and then determine the percent of change: Original Price: $10.00 New Price: $12.00 A.increase; 20% B.decrease; 20% C.decrease; 17% D.increase; 17% Math Journal 03.31.11 Tom has a bag of red and green candy with 12 red pieces and 10 green pieces. Use a proportion to predict how many pieces will be red out of a bag of 220. It take1 Manuel 3 minutes using a hand saw to cut through a log. How long will it take Manuel to saw the log into 6 equal parts? A.100 B.264 C.120 D.180 A.12 minutes B.15 minutes C.18 minutes D.20 minutes You have a rectangle with a length of 8 in and a width of 4 in. Using a scale factor of 1:4, find the dimensions of the larger similar rectangle. A.L = 2 in and W = 1 in B.L = 12 in and W = 8 in C.L = 32 in and W = 16 in D.L = 16 in and W = 8 in Math Journal 04.01.11 Ariana and Derek are driving to Michigan. Derek has driven 3/5 of the 750 miles and Ariana has driven ¼ of the miles. What percent of the miles do they still need to drive? A.85% B.15% C.55% D.45% When Anamarija purchased her favorite book in the year 2000, it cost her $4.50. The book is now out of print, which means that they no longer make it, and is worth 150% of its original value. What is the current value of her book? A.$675 B.$2.25 C.$225 D.$6.75 Math Journal 04.04.11 An electronics store advertises a new game box at a discount of 20% off the list price. Which of the following represents the final cost computation, including a 6% sales tax, for the game box listed at $500? A.Add 0.20 to 0.06 to obtain 0.26, then multiply by 500 B.Multiply 500 by 0.20, subtract this product from 500, multiply the difference by 0.06 and add the second product back to the difference. C.Divide 500 by 0.20 and to that quotient add 0.06 D.Multiply 500 by 0.20 and to that product add the product of 0.06 and 0.20. Using this set of numbers, determine in which order they would be placed on a number line: 2/3, 1 4/5, 0.1, 1 A.2/3, 0.1, 1, 1 4/5 B.1 4/5, 0.1, 1, 2/3 C.0.1, 2/3, 1, 1 4/5 D.1, 2/3, 0.1, 1 4/5 Math Journal Fill in the blank with the symbol that will make a true statement: -14 __________ -17 A.> B.< C.= 04.05.11 Which of the following decimals would come between 5.7 and 8.6 on a number line? A.4.9 B.5.5 C.6.8 D.8.69 A submarine found a shipwreck at 1780 feet below the surface of the ocean. A few miles away at 1830 feet, the same submarine found another shipwreck. Compare the depths of the two shipwrecks. A.1830 > 1780 B.-1780 < -1830 C.1830 < -1780 D.-1780 > -1830 Math Journal Evaluate (a-b )c when a = 7, b = 3, and c = 10. A.70 B.10 C.100 D.40 What is (xy + 1)÷ 7 if x = 5 and y = 11? A.6 B.7 C.8 D.9 04.06.11 Simplify the expression. Substitute the values for the variables stated. a = 4 b = -4 c = 1 3a + b - c A.17 B.29 C.7 D.9 Math Journal 04.07.11 Simplify this expression: (5 x 2) - 1 Which statement is incorrect? A.6 B.9 C.10 D.11 A.(9 * 3) + 6 * 4 ÷ 2 = 18 B.5 ( 4 * 3 + 2) – 8 ÷ 2 = 66 C.32 + 4 (1÷ 1 + 22) = 29 D.9 +3 ( 42 ÷ 22 – 2) + 22 * 1 = 35 Zoey solved the following problem in the steps below. What did she do incorrectly? 52 – 6 x 2 25 – 6 x 2 19 – 2 = 38 A.She solved the exponent first B.She multiplied incorrectly C.She solved the exponent incorrectly D.She subtracted before she multiplied Math Journal Solve: 04.08.11 ½ + ¾ ( ½ - ¼) Solve for x: -15x = 225 A.11/16 B.5/16 C.17/16 D.9/16 A.-25 B.-15 C.15 D.25 The formula, $ = 3x + 3 is used when purchasing cement at the local cement store. The bags of cement are represented by x and the price is represented by the dollar sign. If Jeff purchases 4 bags of cement, how much will he pay? A.$3.00 B.$12.00 C.$15.00 D.$18.00 Math Journal 04.11.11 Solve: x – 12 = 35 Write the solution for n. n / 27 = 3 A.23 B.35 C.47 D.50 A.81 B.27 C.21 D.9 The equation: 2p +350 = the population of a city each year where p is the population from the previous year. This year the city has 1000 residents. How many would reside there after 3 more years? A.6350 B.9.050 C.10,450 D.8,350 Math Journal Eight less than a number is eleven. What is the number? A.3 B.14 C.19 D.29 04.12.11 Bill is three years less than twice Jose’s age. If Jose is x, what expression represents Bill’s age in years? A.3x - 2 B.3 – 2x C.2 ( x – 3) D.2x - 3 Sharon had walked for 6 miles before a passing friend saw her and gave her a ride. Which equation shows the distance, D, Sharon had traveled both walking and riding for H hours at an average rate of 50 miles per hour in the car? A.D = 6 + H (50-6) B.D = 6H + 50 C.D = 50H + 6 D.D = H (50 + 6) Math Journal 04.13.11 Which variable expression means five less If a function (y) is defined by y = 2x – 6, than three times a number? then what is its value when x = -3? A.3x – 5 B.3 ( x – 5) C.5 – 3x D.3( 5 – x) A.-29 B.-12 C.0 D.12 Al, the plumber, charges $36 for a house call plus $22 an hour for his time on the job. Which equation below shows how to calculate his charge, C, for a call taking H hours of time? A.C = 36 H + 22 B.C = H (36 + 22) C.C = 22H + 36 D.C = H + H (36 – 22) Math Journal Simplify: 5xy (2x – 3) A.10x2y - 3 B.-5xy C.10x2y – 15xy D.10x2y – 3xy If a = 2 what is the solution to the problem? 4a + 3a + a A.2 B.10 C.16 D.76 04.14.11 Evaluate 4ns when n = 6 and s = -3 A.-463 B.-72 C.72 D.43 Math Journal 04.15.11 Evaluate the following for m = 4 and n = 20 Which word sentence represents 3x - 8 = 19 2n – m + (-2) m A.3 times a number less than 8 is 19 B.8 less than a number divided by 3 is 19 C.8 less than 3 times a number is 19 D.3 times 8 less than a number is 19 A.-4 B.-36 C.28 D.208 Alfonzo bought a CD player. He gave the clerk a $50 bill. He received back $8.27. Which equation represents this scenario with the cost of the CD player as x? A.$8.27x = $50 B.x - $8.27 = $50 C.x + $8.27 = $50 D.$50 + $8. 27 = x Math Journal EXTRA 1 Which word sentence represents x + 4 = 10 For each month Jack works he earns an increase of $0.05 on his hourly pay. If he A.four times x is ten has already worked 3 months, which shows B.x divided by four is ten his 4th month’s hourly rate in terms of his C.the quotient of x and four is ten first month’s hourly rate? D.four more than x is ten A.r + .20 B.r + .15 C..15r D.3r + .15 The cost of a ticket to Wonder Park Amusements started at $5.00 in 2000. If the price has gone up by $6.00 each year, which would state the correct cost (c) after y years? A.c = 5 + 6 B.c = 5y + 6 C.c = 6y + 5 D.c = 6 + 5y Math Journal EXTRA 2 In the equation: m2 -2 = 34, what does m2 mean? Solve the equation for m: m/9 -1=2 A.2m B.m divided by m C.m + m D.m times m A.27 B.3 C.1/3 D.18 If T = the number of tickets purchased by an individual at the fair, and each ticket cost $0.50, then what algebraic expression could be used to determine how much each person who purchased tickets spent? A..5 – T B..5 + T C.5 ÷ T D..5 T Math Journal EXTRA 3 Solve the equation for b: 8 + b/4 = 15 Solve the equation for a: 6 = a/4 + 2 A.60 B.21 C.32 D.28 A.1 B.8 C.16 D.32 Which of the following represents an equation for the mathematical real life problem: Mike’s age is 25 years less than twice Mike’s weight. Let A be Mike’s age and W represent Mike’s weight. A.A – 25 = 2W B.A + 25 = 2W C.A – 25 = W/2 D.A + 25 = W/2 Math Journal EXTRA 4 What is the value of p in the equation: 3p + 4 = 31 Solve the equation for x: -8x + 3 = -29 A.9 B.11 2/3 C.18 D.35 A.3.25 B.4 C.256 D.-40 Sarah buys a cappuccino twice each week. If c stands for the cost of each cup of coffee, which equation represents how much Sarah spends on coffee each year? A.4c B.2 x 52c C.2 x 4c D.52c Math Journal EXTRA 5 Solve the equation for r 3r + 6 = 6 Solve the equation for m 5.3 – 6m = -1.3 A.0 B.3 C.4 D.24 A.1.9 B.-0.7 C.1.1 D.-1.1 3, 8, 13, 18, ___, ___, ___. What are the next three numbers in the sequence? A.28, 23, 18 B.13, 8, 3 C.23, 28, 22 D.23, 25, 26 Math Journal EXTRA 6 Solve the equation for m: -9m – 9 = 9 What are the next three numbers in the sequence? 1, 2, 4, 8, .... A.-2 B.0 C.2 D.9 A.10, 12, 14 B.12, 14, 16 C.16, 32, 64 D.14, 18, 22 Write the equation of the line for the given table. A.y = 7x + 1 B.y = x – 7 C.y = 7x + 3 D.y = 2x - 3 x y 1 8 2 15 3 22 Math Journal Five bacteria are placed in a petri dish and then counted each hour. The first three bacteria counts were: 18, 57, 174. If this pattern continues, how many hours after the bacteria are placed in the dish will there be 14,214 bacteria? A.after 7 hours B.after 8 hours C.after 9 hours D.after 10 hours EXTRA 7 Complete the following pattern: 1, 1 ,2 ,4 ,3 ,9 ,4, ___ A.10 B.16 C.11 D.8 Write the equation of the line for the given table. A.y = 5x + 4 B.y = 4x + 5 C.y = 5x – 4 D.y = 4x - 5 x y 1 -1 2 3 3 7 Math Journal EXTRA 8 Draw a coordinate plane and label the four On your coordinate plane, plot the quadrants I, II, III, and IV following points: (4, 3) (-5, 1) (0, 4) Troy is going to take a survey of his middle school math class. Which of the following would be the best survey to use for this class? A.The different kinds of cars that these students have B.The different kinds of sports that are played by these high school students C.The number of people that have signed up to run for office in the county election D.The favorite songs of middle school students