Algebra Questions

2019 Kuta Software LLC All rig Label the slope and y intercept in each Sketch the graph of each line 2 1 y x 2 5 432 23 5 6 x

Solve 0 3 X 4 5 x 7x 10 X If there is more than one solution separate them with commas 6 2 10 X 7

Solve x 5 2 x 5 1 0 If there is more than one solution separate them with commas X 0 3 1 6 X S

3 f x 4 Find a polynomial f x of degree 3 that has the following zeros 3 2 8 Leave your answer in factored form 8 X

Arrange the steps for solving the inequality in the correct order 6 2x 1 x 3 2 3x 5 Drag and drop options into correct order and submit For keyboard navigation SHOW MORE E 17x 1 11x 9 6x 10 x 1 17 12x 6 x 3 6x 10 17x 9 10

Factor completely 3u 2u 21

Factor completely 2w 22w 48 2

Factor the following expression 15uv5y7 20u4v

Factor x xy 12y

Factor y 11y 12

Factor by grouping 3v 5v 15v 25

4 5 6 7 8 9 10 1 Solve the equations and check your solution It is possible to have NO SOLUTION 11 0 2 N ype here to search Type a response 4 Solve the equations and check your solution It is possible to have NO SOLUTION x 11 11 20 Type a response C O 72 F Mostly cloudy

Give the center and radius and sketch the graph of each of the following circles 15 x y 4 16 x y 16

Factoring A Sum Difference of Cubes Factor each completely 1 x 125 as x bc5 3 x 64 X 5 5X 25 example 5 x 27 7 1 a 9 x 27 11 8x 27 Name 2 a 64 4 u 8 6 125 x 8 a 125 10 x 1 12 27u 125 Date

ion has a minimum value of of t is the horizontal translati ollowing graph is a translation 21 8x 8x 21 59x Date lem Solving C on f x 2 x 3 4 Complete 2 The dratic Functions 19 7x 2x 0 17 7 7k 6k 3 3 Class 15 3r 16r 7 5 13 4k 8k 3 3 5K

Solving Quadratic Equations by Fact Solve each equation by factoring 1 k 1 5 0 3 4k 5 k 1 0 5 x 11x 19 5 7 n 10n 22 2 9 6n 18n 18 6

Using the graph below tell whether each statement is true or false 4 2 The vertex is at 0 4 3 The function has one solution 4 1 The function has a maximum at y 4 5 The y intercept is at 0 4 2 6 f z 0 from 2 2 2 4 4 The function is decreasing from 4 5 ty 4 x

Factor completely 2a 5a 7 Font Size A A BIU

Question 1 9 Which of the following leading terms would make the expression a perfect square trinomial 80zy 64y 0 25x 0 36x O 492 O 81z

Question 1 7 Use the dropdown menu to indicate whether each expression below is equivalent to 42 9 a 2x 3 12z 9 b 2x 3 2x 3 2z 3 12z 18 d 4z 9 z 1

Question 1 13 Which of the following are factors of a 60a 900 1 a 20 II a 30 III a 30 IV a 20 O ll only O Ill only O I and IV only O II and IV only

Using the graph below tell whether each statement is true or false 44 2 1 2 1 The function has a minimum 2 The vertex is at 6 5 5 0 3 The function has two solutions 6 f z 0 from 2 3 4 The function is decreasing from oc 5 5 The y intercept is at 6 0 V

Question 1 4 Match each polynomial with a factoring technique If none of the techniques can be used to factor the polynomial select none Factor by grouping Difference of Squares Perfect square trinomial 8zy 4y 10z 5 16m 40mn 25n 64d 9 0 261 C 0 n 00 ODDE n None 0000

The rectangular area of the new school courtyard is represented by the expression 4c 36 Which expression could represent the length times the width of the courtyard O 2c 6 O 2c 6 2c 6 04 2 32 o 4c 6 c 6

Use the dropdown menu to indicate whether each equation below has zeros at 1 2 a 82 2 b 2x 3 0 c 5 32 2 1 1 d 12x 5 2

Solve the following polynomial by factoring d d 12 Font Size S A A BIUS x x M 04 40 111

Question 1 8 The polynomial a 7a 2ab 14b can be factored into a 7 and O a 2b Oa 2b O2 a 26 Oa a 2

Question 1 10 Factor completely 27 0 y 3 o y 3 y 3y 9 y 3 y 3 o y 6 y 12y 9

Question 1 11 Determine the sum of the solutions to 27 5z 12 0 O E 2 0 4 5 2

Factor completely 7y 2ry 10r 35 y 5 2x 7 y 7 2x 5 2x 7 Oy 7 3x 5 3x 5 O not factorable

Question 1 6 Which of the following expressions is a factor of 2y 11y 5 O 2y 1 O2y 5 O 5y 1 o 2y 10

Question 1 3 Find the greatest monomial that is a factor of the expression 12f g 15fg 3f g o 3fg o 3g o 6fg o 6f g

Write each of the following statements using symbolic language 1 When you square five times a number you get three more than the number

Vertical asymptote Horiz Asympt 10

3 1 Graphing Quadratics 2 Homework CMR Graph each equation 1 y x 8x 12 3 y x 6x 10 Ay 0 5 1 5 2 2 5 3 5 5 y 2x 12x 22 Ay 12 16 8 X X X Y Y Y 2 y 2x 4x 5 Ay 543 21 4 y 2x 4x 3 Ay 3 4 9 8 7 6 5 6 7 6 y 2x 16x 31 8 x 13 12 1 X X

Solve each system by substitution 7 y 2x 16x 30 9 8 7 6 5 433 2 1 y x 4x 5 3 b 41 11 y 2x 16x 28 Ay 0 5 15 25 3 5 55 x X X X Y Y Y 8 y 2x 8x 5 34024 10 y x 4x 3 AY 35 25 13 05 0 3 1 5 12 y 2x 4x 49 X X X

Fill in the blanks with the appropriate numbers or expressions related to the following equation V 8 V 5 V 3 54 v 2v 15 a The restrictions on the variable are the smaller number in the first blank b When you If not enter none none You are correct 5 c The solution set of the equation is You are incorrect Ive the equation do you get any traneous solutions If so enter the value of the extraneous solution in the blank 13 10 X You are incorrect and 3 X You are incorrect X Enter Enter the solution set notation If there is more than Open in

Solve each system by substitution 7 y x 8x 12 9 y 2x 16x 30 Ay 11 y x 4x 2 25 1 5 05 0 5 X X X Y Y 8 y 2x 12x 14 Ay 10 y x 6x 11 6 5 12 y x 4x 2 1 05 0 5 1 5 AM X X

Graph each of the following Use one coordinate system for each problem 9 a y 2x b y 2x 3 c y 2x 5 1 10 a y 3 b y x 1 11 a y x b y x 2 c y 3x 3 c y x 2

NAME Chian louds Solve each system by substitution 13 y x 2x 3 n y P 15 y x 8x 13 41 17 y 2x 4x 5 Ay 20 HA H 4 0 5 0 5 15 25 45 4 36 x X X X Y Y DATE 14 y x 4x 2 AY 21 114 CC 65 15 25 16 y 2x 8x 9 Ay 18 y x 2x 3 3 f 6 5 0 5 15 435 PERIOD X X X Y Y

17 0 00000137701 x 135307 2596

NAME Christian Loueto W 39 23 3 4 Factoring when a 1 and GCF then a 1 Homework SSE Factor each completely 1 x 3x 2 3 n 8n 12 5 m 3m 10 7 m 15m 56 9 b 6b 40 11 m 4m 12 13 x 4x 45 DATE 2 m 13m 36 4 p 2p 24 6 x x 20 8 x 3x 40 10 v 2v 3 12 x x 72 14 p 14p 40 PERIO

7 STEM Connection Hannah is measuring three sheets of metal Sheet A is 1 times as long as Sheet B Sheet C is 2 3 times as long as Sheet A Order the sheets from least length to greatest length ACB 8 Tyler has three dogs of different weights Max Daisy and Charlie 3 as much as 8 Daisy weighs as much as Max Charlie weighs Daisy Who weighs the least How do you know Charlke 9 Hugo is organizing his books from shortest to tallest His math book is 2 times as tall as his science book His reading book as tall as his science book In what order should Hugo organize his books 7 is muth reading science 10 Extend Your Thinking What will happen to the product if a whole number is multiplied by Thee 82 predect answer 15

Graph each equation 1 y 2x 4x 4 Ay 3 y x 6x 12 5 y 2x 16x 36 A 4 3 2 1 123456x X X X Y Y Y 2 y x 2x 1 15 05 05 E 4 y x 2x Ay 3 5 25 IS 05 0 5 6 y 2x 16x 34 AY T x X X X Y Y

Solve each system by substitution or elimination 13 3x 8y 22 x y 118 3x 22 6 15 11xx 66 6 y 2x 6 x 3y 17 6 y 11 6 925 3 2x 6 7 x 6 18 17 SX 18 12 the 117 118 7 8 Sx 35 x 29 17 5x 7y 3 7x 8y 15 40x 1869 24 44x 30x 105 dx 81 4 8 x 4 y 2 6 8 9 14 8x 6y 10 6x 7y 15 16 18 sej y 3 45 29 3 45 45 7x y 14 14x 4y 28 74 42 7 y 6x 5 2x 4y 20

3 Tyler has three dogs of different weights Max Daisy and Charlie 3 Daisy weighs as much as Max Charlie weighs 8 Daisy Who weighs the least How do you know as much as

Factor each completely 13 2k 12k 16 15 2r r 6r 3 71 16r 40Pf 2r 5 8r 20 5 20 5 9x 6x 15x 10 14 6n 108n 486 16 15x 3x 40x 8 18 28x 35x 12x 15 20 7n 28n 8n 32

Review Factoring 2 Notes Homework SSE Factor the common factor out of each expression 1 7 28b 3 70m 7m 28m 63m 7m 10m 4 1m 4M 9 5 7x 70x 63x 35 Factor each completely 7 b 56 24 add 6 3 6 8 mult 9 a 14a 48 Cat8 Xato add multiply 11 6k 54k 120 2 6CK 4k 20 ks k 2 4a 4 4 30x 5x 15x 20 6 965 27b 3b 3 8 x 6x 27 10 n 2n 48 12 2a 18a 28

9 Hugo is organizing his books from shortest to tallest His math book is 2 times as tall as his science book His reading book is as tall as his science book In what order should Hugo organize his books muth reading science 10 Extend Your Thinking What will happen to the product if a whole number is multiplied by DIC answen 15

What are the Maximum Minimum Equation of the midline mplitude A 5a 2 2 3 2 T 1 2 eriod Use the graph to answer this question 7 2 Amplitude Midline y A maximum minimum 2 maximum minimum 2 3 2 2 ST