Algebra Questions

19 Write the following as a single logarithm 3logy logz 4logx

7 Simplify the radical expression a5b

7 Simplify the radical expression a b

3 Solve 2x 6 3 x

24 Solve 7 2x 51 21

20 Solve for x 3x 4x 3

17 Simplify x2 3x 2 X 4 2x2 x 3 x2 16

angular figure 8 ft of the figure Sides meet at right angles 10 ft 3 ft 5 ft PNMcAfee Secur 4 ft 5 ft 3 ft 8 ft aleks co

Write a rational equation for the real world application Then solve A glassblower can produce several sets of simple glasses in about 3 hours When the glassblower works with an apprentice the job takes about 2 hours Write an equation that can be used to find the amount of time t i hours it would take for the apprentice to make the same number of sets of glasses when working alone

ombine the rational expressions into a single fraction and reduce it in lowest terms 3x 1 x 2 x2 3x 18 x 6

Select two choices that are true about the function f x A There is an asymptote at x 0 B There is a zero at 23 C There is a zero at 0 D There is an asymptote at y 23 23x 14 x

3x 1 5x Find the quotient of the following 12x 6 10x 5x

Solve the rational equation algebraicall 2x 3x 15x x 5 x 9x 20

Find the product of the following 2 14x 45 3x 2x 1 6x 3x 2x 50

Combine the rational expressions into a single fraction and reduce it in lowest terms 13x 10 3x 1

A Determine which of the following graphs is the graph of the given function x 1 f x 24x C 3 B D 6 4 T 2 0

3x 8x 4 3x 10x 8

Given the rational expression shown below select all the statements that are true about the completely simplified form of this rational expression 4x 5 x 2 2 x 3 x 3 A The numerator is 6x 1 B The denominator is 2 x 3 C The numerator is 5x 3 D The denominator is 3x 5

below Put the numbers into the boxes to represent the sum of the rational expression given x 12 3x 3 2x 5 2x 5 2 3 x x Solution Box 5

Solve each rational equation algebraically

x 8 x2 9x 8 Simplify the given expression

Which function is graphed to the right A f x 3 1 x 2 B f x 2 c f x x 2 6 5 4 3 2 1 6 0 1 2 TV TY 2 4

equation algebraically 619 6 3x

1 3 x 4 2 2

3 5 9 V 4 V 12 3 7p 5 27 4 7 5t 13 25 6 14 13y 20y 21

Solve 5z 3 20 00 1 or z 0 75257 0 7 ora27

Kelsey is 5 years older than her sister Misty The product of their ages in years is 84 How old is Misty Drag the answers into the boxes to correctly complete the statements The equation years old where m is the Misty s age in years can be used to solve this problem Misty is

The length of a rectangle is 3 inches shorter than its width The perimeter of the rectangle is 50 inches What are the length and width of the rectangle Drag the answers into the boxes to correctly complete the statements The equation the rectangle is 5 73 8 73 11 12 5 where w is the width of the rectangle can be used to solve this problem The length of inches and the width of the rectangle is 14 2 w 3 2w 50 2 w 3 2w 50 inches w w 3 50

What type of exponential function is f x 0 75 2 1 What is the function s percent rate of change Select from the drop down menus to correctly complete each statement The function is an exponential Choose function The percent rate of change of the function is Choose

Factor 16x 121 over the set of complex numbers

8 9 61 6 16 5 12 10 8

Which graph represents the polynomial function y 2 22 11x 12x 36 100 80 60 40 20 10 8 6 4 2 100 20 40 60 80 100 100 80 60 40 20 N 6 8 10 10 10 8 6 100 80 60 40 20 60 80 100 60

he movement of the progress bar may be uneven because questions can e worth more or less including zero depending on your answer What are the values of cos Y and cot X in the triangle below 1 3 5 34 cos Y COS Y cos Y cos Y 3 34 5 34 3 34 5 34 9 9 N cot X cot X cot X cot X 9 5 3 5 3 3 5 315

The population of bacteria in a petri dish triples every 10 minutes The population of the bacteria is initially 400 organisms What unit is most appropriate for the time at which the number of bacteria is 600 O hour O bacteria per hour O minute bacteria per minute

As the concert came to its end the number of people in a stadium decreased every 10 minutes The function p x 0 65 96 models the number of people in hundreds of thousands where x represents the number of 10 minute periods since the trend has been observed What do the values in the function represent Select each correct answer There were 650 000 people in the stadium when the trend began The number of people in the stadium decreased by 96 each 10 minute period since the trend began There were 65 000 people in the stadium when the trend began The number of people in the stadium decreased by 4 each 10 minute period since the trend began

Factor 16x 121 over the set of complex numbers Enter your answer in the box

What does the fundamental theorem of algebra state about the equation 2x2 6x 10 0 O The fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2 The roots are x 3 i 11 The fundamental theorem of algebra tells you that the equation will have two complex roots since the leading coefficient of the equation is 2 The roots arex 3 i 11 The fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the 3 II polynomial is 2 The roots are x O The fundamental theorem of algebra tells you that the equation will have two complex roots since the leading coefficient of the equation is 2 The roots are a 3 11

The radioisotope Phosphorus 32 is used in leukemia therapy The half life of this isotope is 14 26 days Which equation determines the percent of an initial amount of the isotope remaining after f days A 100 4 0 A 14 26 4 04 100 1 Pe 34 26

Which graph represents the system of inequalities 3x 5y 10 x y 1 5 4 3 2 1 2 5 4 3 2 1 1 2 3 45 2 3 2 5 4 3 2 1 2 3 5 4 3 2 1 2 3 2 3

What is 2 log logy 2 log z written as a single logarithm O log O log 21 2yz 7 yz O log 22 log no zz

Solve for x 6x 2x 1 0x 0 x ti 7 Hivi Ox 1 5 Ox 1 7 6 1 i 5 6

What is the exact angle measure in radians 420 OT

Simplify 2 32 10 243 2x2 72 15 z2 9 O O 2 52 6 1 1 6 2x 3 r 5r 0 2x 3 1 x 6 2x 3

Right triangle ABC has its right angle at C AC 12 and BC 5 Which trigonometric ratios are correct Select each correct answer tan B sin B sin A cos A

Multiply 6x 15xy 20

Solve the system of equations using the substitution method y 1 x 2x 5y 6 Enter your answer in the boxes

Solve for x x 1 x Ox 25 0x 28 0 x 25

Solve for u m2 r k y 0 1 O 0 k y r 172 771 ky r m k y r ky r m

What is the simplest radical form of the expression x y x6 y 10 ng v Or y x y

What are the zeros of the polynomial function f x x 2x x 2 Select each correct answer 0 3 0 2 0 1 0 01 02