Algebra Questions

Write 2 with denominator 5 2 Do not simplify

Find the LCM of this set of numbers 35 and 49

Let L PR by L P p plos p 1 Compute the representation matrix for L the bases 1 x x x x x 23 on bor L w r t Pri 4

4 BONUS If x a and x b for the function f x x 6x16 and a b find b a

3 Identify the solutions for the r 10 3r

5 1 point X John starts out with 10 in his savings account and his grandparents add 10 a week Write a recursive formula to represent how much money John has any time after two weeks f n f n 1 10 given f 1 10 f n 10 n 1 given f 1 10 f n f n 2 10 given f 1 10 f n 10f n 1 given f 1 10

3 1 point A family swimming pool holds 60m of water The function below gives the cubic meters of water in the pool taking into account water lost to evaporation over x days How much water does the pool have after 7 days f x 60 0 18x 8 39 m3 59 82 m 58 74 m3 5 74 m

1 Without looking at your notebook determine the key features of quadratics graphically algebraically and in a set of points Graphically Algebraically

4 1 point Rearrange the equation to isolate E 20 m O O m E 2 2m E m E 201 2mv E

1 point Solve the inequality statement 4r 5 5r 7 Or Or 12 Or 12 r 4

1 1 point A rectangle s length is 8cm more than three times its width It the perimeter is 128 cm find the length 6 7 cm OOOO 14 cm 28 cm 50 cm

1 point Lloyd currently has 80 in his bank account and he earns 130 a week at his current job Write a function S that represents the amount of money Lloyd has in his account after w weeks S w 80 130w S w 80 w S w 130 80w S w 80 130 w Ney

1 point Theo has 5 more than Denise and Denise has 11 more than Rudy Together they have 45 How much money does Denise have O 22 6 14 17

5 Identify the domain and range for the quadratic below Domain Range

2 Factor completely Then identify the roots for the quadratic function below y 2x 10x 12

1 Factor completely 3x y z 9x yz

1 point The fifth term of the sequence will be 11 1 2 5 8 True False

1 Draw a line perpendicular to the X axis to the right and 5 units from the Y axis 2 Draw a line M perpendicular to the Y axis below and 4 units away from the X axis 3 if there is a line A through point B 4 5 and point C 4 5 what is the position of the line about the x axis and y axis

1 point What is the equation of the inequality graphed below y 3x 2 y 3x 2 y2 3x 2 y 3x 2

7 1 point Write the first four terms of a sequence given the recursive rule below f n f n 1 4 for all n 2 and f 1 32 O not enough information 32 28 24 20 32 31 30 29 O 32 27 22 17 Previous

3 1 point The graph and the equation match y 2x 1 True False

6 1 point Write an explicit rule to represent the sequence 20 24 28 32 36 f n 4n 20 O f n 4n 24 Of n 4n 12 O f n 4n 16 Previous

1 1 point 3 4 is one of many solutions to the inequality 2x y 2 2 True False

Skew lines are a pair of lines that are non intersecting non parallel and non coplanar This implies that skew lines can never intersect and are not parallel to each other Given two lines a b c 7 40 0 0 0 0 0 L y 3 t 1 and L y 6 t 0 1 Prove that L and L are skew lines Find a vector that connects these two lines 2 6 marks 3 marks Plane lies exactly halfway between the two lines and intersects neither Use the results in Question 4 b to find the Cartesian and vector equation of plane B 16 marks

Factor the polynomial f x 2 102 20x2 40x 96 given that 6 and 2 are zeros Factored form f x Then identify all real zeros If there are multiple zeros separate the answers with commas X

A sine function has the following key features 1 4TT Frequency Amplitude 2 Midline y 2 y intercept 0 2 The function is not a reflection of its parent function over the x axis Use the sine tool to graph the function The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point Move Sine Undo Redo x Reset

Calculator The temperature of a substance during an experiment can be modeled by the function f x 7 5 cos T 31 4 into the experiment What is the greatest temperature the substance reached during the experiment Round to the nearest tenth of a degree if needed Use 3 14 for TT Enter your answer in the box where 31 4 where f x is the temperature C and x is the number of minutes

Calculator The average daily maximum temperature for Laura s hometown can be modeled by the function f x 4 5 sin T 11 8 where x 0 corresponds to January What is the average daily maximum temperature in May Round to the nearest tenth of a degree if needed Use 3 14 for TT Enter your answer in the box is the temperature in C and x is the month

333 The graph shows how many inches above the ground y the valve on a rotating tire is for a given number of seconds x How many degrees is the tire turning every second Enter your answer in the box m 25 3 3 5 20 15 10 5 0 0 5 1 2 3 4 5

5 1 Here is a visual pattern Sketch figure 4 Figure 1 Figure Dots Figure 1 5 2 Complete the table with the number of dots in each figure Figure 2 1 Reflect 1 2 2 Figure 2 Figure 3 3 Explore 6 1 Make your own pattern by creating figures 1 and 3 4 Figure 3 6 2 How many dots will figure 8 of your pattern have 90000000 6 10 Figure Dots 1 2 3 3 Put a heart next to the problem you feel most confident about Use the space below to ask a question or share something you are proud of

The graph shows the distance y in centimeters a pendulum moves to the right positive displacement and to the left negative displacement for a given number of seconds x How many seconds are required for the pendulum to swing from its position furthest to the right to its position furthest to the left Enter your answer in the box S 154 10 5 0 5 10 15 0 5 15 2 25 3 3 5 4 4 5 5 5 5 6 6 5 7

Ontent Time s The table shows the height in centimeters that a weight bouncing from a spring would achieve if there were no friction for a given number of seconds 0 0 75 1 5 2 25 3 3 75 4 5 5 25 121 le enhancedSequenceViewer 2414283 uri https 3A 2F 2Ff59af8a9 9515 4190 8486 aee0599ad9a3 sequences api brightspace com 6 1 09 Quiz Interpret Trigonometric Models Height cm 0 15 0 15 0 0 15 0 15 From its resting position how long does it take the weight to bounce one direction then the other and then back to its resting position

Calculator 1 A sinusoidal function has a frequency of 6TT Which function could be the function described O a maximum value of 12 a minimum value of 6 and a y intercept of 3 F f x 3 sin 6 x 9 f x 3 sin 3 9 f x 9 sin 3 f x 9 sin 6 x 3 O O C 0 1 2 3 4 Finish 0184053ac6443367cee1 3cd2 4356 859 5dcba203175 conorptid NO AL2 0 03 011 Quiz coopTyp ASSESSMENT 12ca4 13494576cm

Which graph represents O 1 08 Quiz Create Trigonometric Models f x 6 cos 4x AM MAA 0 5 0 5 0 5 6 otv 4 0 5

T Graph g t 4 sin 3t 2 Use 3 14 for TT Use the sine tool to graph the function The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point Move Sine a 7 Undo 000 Redo x Reset

What is the period of the function O 12 T O 16 6 O f x sin x

Lynne took a taxicab from her office to the airport She had to pay a flat fee of 2 05 plus 0 90 per mile The total cost was 5 65 How many miles was the trip 6 2 miles 4 miles 2 3 miles 8 6 miles

1 point Mike wants to rent a car for his vacation The rental costs 125 a week plus 15 a mile How far can Mike travel in a week if he wants to spend at most 200 Mike must drive more than 500 miles Mike can drive at most 500 miles Mike can drive at most 5 miles Mike can drive an unlimited amount of miles

Because a 11 a a for any real number a we call 1 the additive identity

1 point The sum of two consecutive even integers is at most 400 The pair of integers with the greatest sum is 196 and 198 True False 7

4 1 point A rectangle s length is 8cm more than three times its width It the perimeter is 128 cm find the length 50 cm 28 cm 6 7 cm 14 cm Previous

1 point he width of a poster is 8cm less than the length The perimeter is more than 184 cm If the length and width are both integers what is the minimum dimension f he length The minimum length is 43 cm The minimum length is 42 cm The minimum length is 50 cm The minimum length is 51 cm 4 Submit

1 point A house and lot together cost more than 89 000 The house costs 1000 more than seven times the cost of the lot How much does the lot cost less than 11 000 less than 14 000 more than 14 000 more than 11 000

1 point The length of a rectangle is 3 more than the width Find the length of the rectangle if the perimeter is 98 in 47 5 in 26 in 23 in 24 5 in

6 1 point In the equation below solve for x a 12x m x 12m 12a x X 22 62 m a 12

5 1 point A rectangle has perimeter P length I and width w Which of the following represents I in terms of P and w 1 P w 1 2P 2w P 2w 1 2 1 P 2w Previous

1 point Three less than two times a number is 55 What is the number 26 55 26 29

Evaluate the following expression 4 2 14 2 13 2 4 2 14 2 13 2 Simplify your answer

A pet sture surveyed 674 people to see how many own a fish how many own a dog and how many own a cat The Venn diagram below shows the results Each number gives the number of people who fall into that Venn diagram category All people in the survey Own a dog Own a fish 66 44 51 37 145 113 Own a cat 71 147 a How many of the people own a fish people b How many of the people own neither a fish nor a cat people c How many of the people own both a dog and a cat but don t own a fish X

The Commutative Property of Addition states that for any real numbers a and b a b 0 b b a 1