Algebra Questions

Solve the equations and check your solution It is possible to have NO SOLUTION 3 1 x 10 4 Type a response 15 5 2

Here is a triangle Let h b and a represent height base and area 3 cm 12 cm Use the formula a b h to work out the area of the triangle a 2 cm A different triangle has a base of 12 cm and an area of 144 cm What is its height cm 1 1

John is 4 years younger than Bethany Let p represent John s age and let q represent Bethany s age Complete the table using the equation p q 4 P 1 6 58 9 5 26

Here is a rectangle Let I w a and p represent length width area and perimeter 2 cm 9 cm Use the formula a 1 x w to work out the area of the rectangle a 2 cm Use the formula p 2 x 1 w to work out the perimeter of the rectangle cm 1 1

Find the volume of the composite solid which has a square base 6 1 11 6

23 A bacteria colony triples every 8 days If the colony amounts to 5750 bacteria in 35 days how many bacteria was in the colony initially Give your answer to nearest whole number

Write and use a piecewise function for this bread sales position pay schedule CARS R US Where you rake in the dough Monthly base salary 3000 Expected sales 10 cars per month Bonus Sales above 10 cars per month 500 bonus per car Show the calculations you would do NOT just the answers Math for 5 cars sold 3000 2 Math for 10 sold ath for 12 cars sold

a Use completing the square to determine the vertex form of the function f x 2x 20x 5 F x 22 202 5 2 2 102 5 262 10x 3 5 1 5 2 2 5 45 VAX 5 45

Given f x x 5 find f 3 b x if f x 1

11 A certain virus triples every 15 hours If the virus amounts to 5750 bacteria in 4 days how many bacteria was in the colony initially Give your answer to nearest whole number i A T r

5a Given the line 4x 5 y is 2 3 a solution Hint An ordered pair contains a value for x and for y 5b Are there other solutions to the equation in 5a If yes list one If not why not

One side of a linear equation simplifies to 4x 5 For the equation to be a contradiction which of the expressions can be on the other side of the equation Select an answer and submit For keyboard navigation use the up down arrow keys to select an ower 3 4 x 2 b 3x 4 x 2 C x 3 x 1 d 2x 3 x 1

4 If 4x 2y z 10 what is the value of y if x 2 and x 4

8 y 1 2 1 4y 10 Apply the distributive property but do not simplify Write your response here Simplify each side Write your response here Write your response here Write your response here Eliminate the variable from each side Type your answer here Type your answer here This resulting equation is Write your response here Therefore the equation is a n Write your response here The solution set is Write your response here true false contradiction conditional identity all real numbers the empty set

7 Solve applications of linear equations Homework Unanswered Due Today 11 59 PM Fill in the Blanks Type your answers in all of the blanks and submit X S2 According to the Health United States 2016 report by the Center for Disease Control the life expectancy at birth for females f is given by f 0 1139x 76 72 and for males m is m 0 1961x 68 95 where X is the number of years after 1975 a The life expectancy for males and females born in the United States will be the same in approximately Type your answer here years round to the nearest tenth or during the year Type your answer here b In this year the life expectancy rounded to the nearest tenth is approximately Type your answer here

0 04x0 02 1000 x 500 Multiple answers Multiple answers are accepted for this question Select one or more answers and submit For keyboard navigation SHOW MORE a 0 04x200 02x 500 b 0 02 1000 x 500 C d e f B h 0 02x 20 500 0 02x20 500 0 02x 520 0 02x 480 x 26 000 x 24 000

Type your answers in all of the blanks and submit X X 22 In blank a enter conditional equation contradiction or identity In blank b enter the numerical solution all real numbers or no solution 3 2x 1 2 3x 2 a The equation is a n Write your response here b Solution Write your response here

Quick Check 6 of operations Homework Unanswered Due Today 11 59 PM Match each expression with the correct order that we must perform the operations Drag and drop options on the right hand side and submit For keyboard navigation SHOW MORE 4 12 3 1 4 12 3 1 4 12 3 1 Subtract 4 and 12 Subtract 3 and 1 Divide the results Subtract 3 and 1 Divide 12 by that result Subtract from left to right Divide 12 by 3 Then subtract from left to right

Homework Unanswered Due Today 11 59 PM Arrange the given operations in the order from top to bottom in which they must be performed when applying the order of operations Drag and drop options into correct order and submit For keyboard navigation SHOW MORE E Simplify exponential expressions Simplify within parentheses or grouping symbols M Multiply or divide in order from left to right Add or subtract in order from left to right

Determine if the equation is a conditional equation a contradiction or an identity Then determine the solution set 3d 7 d 6 Multiple answers Multiple answers are accepted for this question Select one or more answers and submit For keyboard navigation SHOW MORE Homework a Conditional equation b C d e Contradiction Identity 2 2

3 Addition and multiplication properties of equality Homework Unanswered Due Today 11 59 PM Fill in the Blanks Type your answers in all of the blanks and submit X X To solve the equation 2x 5 9 first of the equation to get the equivalent equation 2x Type your answer here each side of the equation by Write your response here Write your response here Type your answer here to get x Type your answer here from each side Then Write your response here Type your answer here The solution set is

Fill in the Blanks Type your answers in all of the blanks and submit X X The set of numbers 1 2 3 4 5 is called the set of Write your response here numbers The set of numbers 0 1 2 3 4 5 is called the set of The set of numbers Write your response here Write your response here or The set of numbers 3 2 1 0 1 2 3 is called the set of Write your response here p and q are integers q0 is called the set of 0 is numbers Write your response here numb

Match each equation type with the correct equation Drag and drop options on the right hand side and submit For keyboard navigation SHOW MORE 2 b 6 6b 4 2b 3 2 b 6 6b 4 2b 3 2 b 6 6b 4 2b 3 III Equivalent Identity Contradiction

In Music What Does Allegro Mean Solve each inequality below Draw a straight line connecting it to the inequality that in the bes the solution set The line will cross a number and a letter Write the letter in the matching numbered box at the bottom of the page 4x 7 17 2x 36 4 3 10 8x 26 4 6x 1 23 5 6 11x 60 6 9x 5 58 7 32 15x 2 8 42 3x 3 9 26 4 5x 10 26 7x 2 11 10x 18 72 12 12 14x 2 13 4x 68 4 14 37 17 2x 15 3 7x 17 16 14 5x 34 17 58 x 20 18 6x 4 40 1 2 3 4 5 6 NUL 7 F 84 s 16 R U x 2 XV 4 x 6 x 10 X 6 x 16 x 1 x 2 x 7 x 4 x 38 X 2 x 13 x4 9 x 4 x 16 x 6 x 6 9 10 11 12 13 14 15 16 17 1

1 Addition and multiplication properties of equality Homework Unanswered Due Today 11 59 PM Fill in the Blanks Type your answers in all of the blanks and submit X X Q To solve the equation x 7 5 we must add The resulting equation is X Type your answer here Type your answer here The solution set of the equation is Write your response here to each side of the equation Enter the answer using solution set notation The

A snow globe is packaged in a cubic container that has a volume of 64 cubic inches A large shipping container is also a cube and its edge length is 8 inches longer than the edge length of the snow globe container How many snow globes can fit into the larger shipping container Hint Find the length of the side of the cubic snow globe container first The length of the container is inches The length of the large shipping container is inches POSSIBLE POINTS 1 snow globes can fit into the larger shipping container Do

Simplify the following expression 27x 2y6 ar y a b 32x y 0 ax y a b C C

The Write your response here property of equality states that we can add or Write your response here number from each side of an equation and obtain an equivalent equation The Write your response here property of equality states that we can Write your response here side of an equation by the same nonzero number and obtain an equivalent equation the same or divide each

Type your answers in all of the blanks and submit X S2 A ride sharing company charges an initial fee of 1 50 plus 0 18 per minute for a car ride How many minutes can a person ride fe 57 a Let X represent the number of minutes of the car ride The equation that represents this situation is Type your answer here Type your answer here b A person can ride Type your answer here X Type your answer here minutes for 5 Round to the nearest tenth

X 2 Write your response here zero equations are equations that have the same solution set These equations are produced when we perform the Write your response here operation on each side of an equation with the exception of multiplication by

If a linear equation is a contradiction what is its solution set Select an answer and submit For keyboard navigation use the up down arrow keys to select an a 195 a b 0

4 y 3 10 8 6 4 2 101 8 6 4 2 466 4 6 8 10 slope Y int 3 2 4 6 8 10

X X 22 a A Write your response here real numbers such that A 0 b These equations are also called Write your response here equation in one variable is an equation of the form Ax B C where A B and Care Write your response here c The value of the variable that makes the equation true is called the degree equations because the exponent on the variable is Write your response here or

Select all equations that are linear equations i Multiple answers Multiple answers are accepted for this question 5 Determine which equations are linear Homework Unanswered Due Today 11 59 PM Select one or more answers and submit For keyboard navigation SHOW MORE a C d 5I5 X X5 1 1 T 3 2x 3 2x x 3 4 x 2 x 2 3

Fill in the blanks with the expression that results when applying the given step to solve the equation Do not insert spaces when entering the expressions in the blanks 20x2 7x 3 3 3 2x 5 Apply the distributive property Do not simplify Write your response here Simplify each side Write your response here Write your response here Solve for X Isolate the variable term to the left side and the constant term to the right side X Type your answer here Write your response here Write your response here Type your answer here

Type your answers in all of the blanks and submit Enter the expression or number that is required to solve the equation Do not enter any blank spaces in your answers 2 1 5x 72 a Apply the distributive property Write your response here b When the constant term is moved to the right side the resulting equation is Type your answer here c Solve X d Solution set X Type your answer here Write your respor 72 Type your answer here

6 Determine if a number is a solution of an equation Homework Unanswered Due Today 11 59 PM Fill in the Blanks Type your answers in all of the blanks and submit X Consider the equation 3 2x 1 6 1 7x When checking if 4 is a solution of the equation the left side of the equation results in the number Type your answer here Therefore the value 4 and the right side of the equation results in the number Write your response here Type your answer here is or is not a solution of the equation

Homework Unanswered Due Today 11 59 PM Match each equation with the correct word that describes it Draga response in the right column up or down until it aligns with the correct match from the left column and drop it Drag and drop options on the right hand side and submit For keyboard navigation SHOW MORE 4 6 2x 3 8 4 3x 7 2 4 6 2x 3 8 4 2x 7 2 4 6 2x 3 8 4 3x 7 2 III E Conditional equation Identity Contradiction

When solving an equation you correctly determine that x 2 What is the correct form of the solution set of the equation Select an answer and submit For keyboard navigation use the up down arrow keys to select an answer a b x 2 x 2 C 2 d 2 Unanswered Submit This inve plu rec A Wh tha the The tha Bal

X X Fill in each blank with either conditional contradiction or identity a An equation that is true for all values of the variable is called an Write your response here b An equation that is true for some values of the variable and false for other values is called a Write your response here equation c An equation that is not true for any value of the variable is called a Write your response here This is a very com involves a variab plus a constant recall what this

X X Fill in the blank with the appropriate word An equation of the form Ax B C for A B and Creal numbers with AO is called write your response here equation

Select the equation that results after simplifying the left side of the equation 4 3 2x x 3 6 Select an answer and submit For keyboard navigation use the up down arrow keys to select an answer DJ b 9x 15 6 C 9x 9 6 d 7x 9 6 7x 15 6

7 In the figure shown lines ga 7 5 8 6 and g are parallel Select all angles that are congruent to angle 1 3 1 2 4

P 34 97 3333 D 64 d 5150 63 1 I C 34 Jamani b 64 a 613 77 I I 9 A C 3 W N Select all true equations

a Find f x for the indicated values of x if possible b Find the domain of f Use words or inequalities to describe the domain 49 f x x for x 2 5 50 f x 2x 1 for x 8 1 51 f x x 3xforx 3 2 52 f x 5 x 2x for x 1 5 53 f x 12 3xl for x 1 4 54 f x 15x 3 for x 3 0 55 f x 2x for x 3 5 56 f x 2 xfor x 2 2 57 f x x for x 1 a 1 58 f x 1 x for x 2 a 2 59 f x 6 3x for x 1 a 1 60 f x 7 for x 6 a 1 3x 5 61 f x for x 1 a x 5

3 satisfies The value 7 12 does not satisfy x 3 x 9 because it x 3 x 9 and x 3 x 9 www is an extraneous solution of the equation the equation the original equation

2 The expression p p q q p q can be rewritten in the form p g p q What is the value of m Enter your answer in the box

Match the image to the scale factor from FC to F G Image 1 Image 2 Image 3 set S Image 4 8 6 LIND N 18 G

73 2 1 3 2 3 3 2 3

kami O X T 14 5 3 y x 2 343 N