Tennessee - Test A. Predictive Assessment See what they know. Teach what they need. *TNRC-A1HSAG-101* Practice Example: A L G E B R A

Transcription

1 A L G E B R A Tennessee - Test A I Predictive Assessment See what they know. Teach what they need. Practice Example: Gr HS Items - In evaluating the following problem, which operation should be performed first? A A B. 4 C. 0 D. 0 B C D TN-TNRC-A-HSA-G--0_040 0 Discovery Education, Inc. All rights reserved. *TNRC-AHSAG-0* *TNRC-AHSAG-0*

2 Tennessee EOC Algebra Abbreviations for Geometric Formulas A = area d = diameter r = radius B = area of base b = base C = circumference h = height l = length P = perimeter s = length of side V = volume w = width Quadratics For ax + bx + c = 0: x = b ± b 4ac a Discriminant = b 4ac Perimeter (P) and Circumference (C) Any Polygon: Rectangle: Circle: Plane Figures Triangle Rectangle Circle Solid Figures Right Rectangular Prism Cube P = sum of side lengths P = l + w C = ϖr or ϖd ϖ.4 or 7 base Area (A) A = bh A = lw A = ϖr ϖ.4 or 7 Volume (V) V = Bh or V = lwh V = s d = rt Algebraic Formulas and Equations Distance Formula: Slope Formula: Slope-Intercept Equation: distance = rate time d = (x x ) + (y y ) d = distance between two points m = y y x x y = mx + b Point-Slope Equation: y y = m(x x ) Pythagorean Theorem: Midpoint Formula: Standard Form of a Linear Equation: Length foot (ft) = inches (in.) yard(yd) = feet yard = 6 inches mile =,760 yards mile =,80 feet a + b = c b ( ) x + x y + y, Ax + By = C Measurement Conversions Weight pound (lb) = 6 ounces (oz) ton (T) =,000 pounds Capacity cup (c) = 8 fluid ounces (fl oz) pint (pt) = cups quart (qt) = pints quart = 4 cups gallon (gal) = 4 quarts Conversion Between Customary and Metric Measurement yard = m quart = L foot = m ounce = 8. g inch =.4 cm lb = 0.4 kg a c

3 Questions through ask you to solve math problems. Read each question carefully. Choose the best answer and then go on to the next question. Do not skip any questions.. A researcher is interested in finding a relationship between age and weight of men in their 0s. She plotted the weights of various men from ages 0 through 9 below. Weight (lbs) Weight of Various Men in Their 0s Age (years) Which of the following is a valid conclusion based on this data? A. There is no relationship between age and weight of men in their 0s. B. Men in their late 0s can be expected to weigh less than men in their early 0s. C. A man s weight can be expected to increase until his mid-0s, when it begins to decrease. D. Men in their late 0s can be expected to weigh more than men in their early 0s.. Look at the height of each student shown in the chart below. Student Bernice Kaycee James Ronnie Nikki Height (feet) Which answer choice shows the students in order from least to greatest, by height? A. Kaycee, Ronnie, Nikki, James, Bernice B. Ronnie, James, Kaycee, Nikki, Bernice C. Kaycee, Nikki, Ronnie, Bernice, James D. Nikki, Kaycee, Ronnie, James, Bernice

4 . Sam can walk down his driveway to the street corner and then turn and walk feet to his mailbox. He can also walk directly across his yard to the mailbox, a distance of feet.. Mary sold boxes of cookies to help her school. On Saturday she sold 0 boxes. On Sunday she sold boxes per hour. On both days combined she sold more than 0 boxes of cookies. Which inequality shows the number of hours, h, that Mary must have worked on Sunday?? feet mailbox A. h > 4 B. h < 4 C. h > 6 feet D. h < 6 How far must he walk down his driveway to the street corner? A. foot B. 9 feet C. 0 feet D. 8 feet 6. Look at segment AB below. 4 y B 4. A student can find the area of the triangle below by evaluating the expression (x + 4)(x ) O A x What is the midpoint of this line segment? x + 4 ft x ft If x = 4 feet, then what is the area of the triangle? A. ft B. 6 ft C. 0 ft D. 8 ft A. (6, 6) B. (, 6) C. (0, ) D. (-, ) 7. Simplify: 4 A. B. C. 44 D. 76 4

5 8. Look at the function table below. x - 0 f(x) - - Which equation shows the relationship in the table? A. f(x) = x B. f(x) = x + C. f(x) = x + D. f(x) = x 9. A sandwich shop sells sandwiches for $.7 each. It costs the shop $.0 to make each sandwich. Which equation shows the profit, p, when n sandwiches are sold? A. p = (n $.7) $.0 B. p = (n $.0) $.7 C. p = ($.7 $.0) n D. p = $.7 $.0 n. Fifty-four students attended the winter dance. There were twice as many girls present as boys. This is shown in the system of equations below, where g is the number of girls and b is the number of boys. g + b = 4 b = g Solve the system of equations to find the number of girls at the dance. A. 8 B. 7 C. 6 D. 4. Which of these situations is best modeled with a quadratic function when graphed over time? A. the total amount of snowfall that has fallen in a particular storm B. the path of a basketball that is tossed into the air and returns to the ground C. the price of gas as it continually increases and decreases over time D. the path of a car as it is driven from the top to the bottom of a mountain 0. Simplify the expression below, expressing your answer in scientific notation A.. 0 B C.. 0 D.. 0 6

6 . As shown in the table, the amount of wages that Claire earns depends on the number of hours she works. Hours 0 0 Wages $.00 $8.0 $0.00 $7.0 Which function can be used to find Claire s wages, w, based on the number of hours, h, that she works? A. w = $.00h B. w = $.00h + $7.0 C. w = h + $4.00 D. w = $.0h 4. Corey turned on his stereo. The volume was off, so he increased the volume until it was loud. He played it for one hour. His older brother came in and asked him to turn the volume down. Corey turned it down and played it at a lower volume until he turned it off and went to bed. Which of the following graphs best models how loud the volume was? A. Stereo Volume over Time C. Stereo Volume over Time Volume Time B. Stereo Volume over Time Volume Volume Time D. Stereo Volume over Time Volume 6 Time Time

7 . Kelvin wanted to win the target-shooting competition at camp. For the competition, contestants get arrow. In practice, Kelvin got arrows and shot them at the target shown below. 7. Bobby wrote the following sequence. 0,, 4, 6... Which of the following equations could Bobby use to find the 9th term of the sequence? A. 9th term = 9 B. 9th term = (9 ) C. 9th term = (9 ) D. 9th term = (9 ) + 8. Find the product. (x + )(x ) A. x + x 0 Based on the results of his practice, what is the probability that Kelvin will shoot an arrow into the center circle in the competition? B. x + x + 0 C. x + D. x x 0 A. B. 9. With a potential weight of 6 tons, the adult African elephant is the largest land animal. It eats up to 00 pounds of food and drinks up to 60 gallons of water a day. C. How many cups of water can an African elephant drink in two weeks? D. 6. Which set of numbers below contains at least one natural number, one integer, and one irrational number? A. -, 0, 6 A. 840 cups B.,680 cups C. 6,70 cups D.,440 cups B. -,, 4 C. 0,, 6 D.,, 4 7

8 0. A sales director for a newspaper keeps track of the number of advertisements sold by each member of her team. The box-and-whisker plot below represents the first-quarter sales figures from last year She wants to compare this data to the first-quarter sales figures from this year, shown below Which of these conclusions must be true? A. The mean stayed the same. B. The range stayed the same. C. The median increased. D. The mode increased.. Look at the scatterplot below. Weekly Stock Prices Stock Price ($) Week # Which of the following is a reasonable equation for the line of best fit for this data? A. y = 4x + $0.0 B. y = 0.0x + $0. C. y = 0.7x + D. y = -4x 8

9 . Consider the function y = x. 4. Look at the graph below. If the domain is restricted to 0 x 4, what is the range of this function? A. - y B. 0 y 8 4 y C. y 4 D. 0 y 4. In physics class, Lillian learned the following formula for displacement. s = t(u + v) Solve this formula for v. A. v = s t B. v = s u u + t C. v = s ut D. v = t + us Which function is shown in the graph? A. f(x) = x B. f(x) = x + C. f(x) = x D. f(x) = x + x 9

10 . The graph of y = x x is shown below. y 6. A coach recorded the number of bottles of water his team drank during practice. Hours of Number Practice of Bottles x O 0 Which of these graphs depicts the number of bottles that were drunk as a function of hours of practice? A. x = -., x = 0. B. x = -, x = 0 C. x = -, x = D. x =, x = Hours of Practice B. Water Drunk During Practice Number of Bottles Use the graph to find the solutions to x x = 0. Number of Bottles A. Water Drunk During Practice Hours of Practice Number of Bottles C. Water Drunk During Practice Hours of Practice Number of Bottles D. Water Drunk During Practice Hours of Practice

11 Use the following information to answer questions 7 and 8. Marisol solved an equation, as shown below. Given: 6x ( + -x) = 7 Step : 6x + (4 + ) + -x = 7 Step : 6x + -x + (4 + ) = 7 Step : x + 7 = 7 Step 4: x = Solution: x = 0 7. What property did Marisol use to get from the given equation to Step? A. associative property B. commutative property C. distributive property D. inverse property 8. What property did Marisol use to get from Step to Step? A. associative property B. commutative property C. distributive property D. identity property 9. A nutritionist recorded the caloric value for various numbers of apples using the graph below. Calories y Caloric Value of Apples Number of Apples Based on this graph, how many apples would you need to consume to get 800 calories? A. 0 B. 9 C. 8 D x 0. Look at the irregular figure on the grid below. What is the best estimate of the area of the figure? A. 8 square units B. square units C. 6 square units D. 0 square units

12 . The chart below shows average attendance at the city zoo over the past year. Sunday 8:00 am - 9:9 am,4 0:00 am - :9 am,7 :00 pm - :9 pm,97 :00 pm - :9 pm 698 Monday,48,06,64 46 Tuesday,68, Wednesday, Thursday,64, Friday,46,97,86 Saturday 7,04,877 4,6,446 Based on the chart, which of the following is not a reasonable prediction for next year? A. More people will visit the zoo on Saturdays than any other day of the week. B. On every day of the week, fewer people will come from :00 pm to :9 pm than at any other time of the day. C. On every day of the week, more people will come from 8:00 am to 9:9 am than at any other time of the day. D. Fewer people will visit the zoo on Tuesdays than any other day of the week.. The formula for finding power in watts is shown below. Power force x distance time At the gym, Beatrice rides a stationary bicycle that shows she expends an average of 7 watts for 0 minutes. She would like to increase her power to 0 watts. Using the formula for power, which of the following can Beatrice do to increase her power from 7 watts to 0 watts? A. Travel the same distance in one hour instead of 0 minutes. B. Double both the time and distance that she rides the bike. C. Double the distance that she travels in 0 minutes. D. Use half as much force when she rides the bicycle.