Algebra Questions

Use the zero exponent rule to simplify All variables are nonze 5xy

Evaluate each using the values given 18 p p 3 use p 3 4 and q 4 6 B 3 96 D 6 66 A 1 56 C 5 36

y mx b 6 20 pts Each of the following contains a point and the slope for a linear function Complete for the linear equation y mx b and find another point that exists on that line 4 8 and m 7 m 7 4 8 Y 7x b 8 7 4 b b Y o 5 4 and m 3 m 3 4 3 5 b 4 15 6 b 11 4 9 and m m 2 2 6 18 and m 3 17 15 78 and m 30 8 28 6

3 20 pts While working on a video game Your studio needs to outsource their development to another willing to offer to help in the development of the video game company The following are the prices for every year of work that 5 companies are 450y 3000 Company 1 C Company 2 C 500y 2000 Company 3 C 360y 7000 Company 4 C 400y 8000 Company 5 C 600y 3250 Go online and find out how long a video game is usually in production in years How long does your game take to develop and which of the companies would be best for your cost If needed show work and be sure to include units

2 20 pts Look at the table below M Y Y x2 x1 D Number of Drinks 2 4 6 10 A Blood Alcohol Concentration 0 047 0 094 0 141 0 235 2 0 047 4 0 094 Using the rate of change formula find out between each number of drinks if this table is linear find m for each of the intervals 2 4 4 6 and 6 10 If it is linear create a function for the data and if not refer back to the first problem and create a linear function that can model this table 0 047 0 094 0 047 CE240 00 0 047 0 141 0 094 te 4 16 6 14176 024 0 049 6 1x 0 235 0 141 10 6 0 047 2 0 094 4 wa141 10 0 235

5 20 pts Given the following points determine if they can be considered a linear function If so create a linear function for the points 3 4 and 5 7 7 4 5 3 4 x b 4 3 and 6 20 5 44 223 6 8 2 and 8 9 20 4 6 3 y lo x tb 7 9 and 15 9 2 05 88 and 15 64 4 2 b 4 2 6 3 9 8 9 1 2 b x 162 3 3 164 b 2 44 2 3 64 53 3

4 20 pts With each of the equations below translate them all into our linear equation models y mx b and then identify m and b 5x 7y 4 8 1 x 4 2 y x y 4 4y 4x x 3y

Simplify the expression All variables are nonzero 4 5n 5 4 5n 2 2 www

Use the zero exponent rule to simplify 2 3 13

mplify the following expression All variables are nonzero 4 3 42x 4y 35x6y 2x 4y 3 or 6 11

Simplify the expression Write the answer with only positive exponents All variables are nonzero 2x y 3 4 2x y 3 4

Use the quotient to a power rule to simplify All variables are nonzero 5 A 4 12 2

Use the quotient to a power rule to simplify 5ad LA 5a d II 2

Simplify All variables are nonzero 5 2 y 5 X 5 5 2

5 5 8 54x y Step by Step Solution Simplify 42x Write the answer with only positive integer exponents All variables are nonzero Step 1 Write the quotient as the product of factors 5 5 42x y 8 54x y 42 54 0 y 5 y

Simplify the following expression All variables are nonzero 2 9 2 0 m 2m n 2 m n 2 2m n 3 16 atial notation with positive exponents Ilse integers or fractions for any

Use the zero exponent rule to simplify 15

implify the following expression All variables are nonzero 2wz 7w 2wz 2 2 2 2 7w II 2

Use the quotient to a power rule to simplify 5 2 X 3 5 2 5

Simplify the expression All variables are nonzero 5 7n 5 2 2

Simplify the following expression 10b4 6b 10b4

Use the quotient rule to simplify Z

Simplify Step by Step Solution Step 1 Rearrange factors Part 1 of 4 Write the answer with only positive integer exponents All variable O Points 0 of 1 4 D D

Simplify each expression a 50 b 5 c 5 a 5 Simplify your onewor Tyno

Simplify the expression All variables are nonzero 5a 6 5a 6 4

Simplify each expression a 4 3 b 4 3 c 4 3

Simplify the following expression 7 3 8 1

Ill in the blank below a and b are real numbers and n is an integer then 9 n C 9 b

Simplify the numerical expression Assume all variables are nonzero 11 11 7 4x

Simplify the following numerical expression 1 9 2

Use the negative exponent rules to simplify 6 1 2

Simplify each expression so that all exponents are positive All variables are nonzer a y 9 b y 9 c y 9

Simplify the following expressions so that all exponents are positive All variables are nonze 5 a 2m b 2m 5 c 2m 5

Simplify the following expression 3a 66 3a 6 4

Complete the sentence If a is a nonzero real number and n is a positive integer then a If a is a nonzero real number and n is a positive integer then a 1 C

implify the following expression 4a 49 3 4a b4 Simplify your answer Use integers or fractions for any numbers in the expression Use positive expor

9 REVIEW Sum 1 Solve each inequality 1 31 23 9 A r 6 or r 10 B r 3 or r 3 C 3 r 3 D r 4 or r 4 10 10 0 4 2 5k 1 1 A 5 75 k 5 09 B All real numbers C k 2 1 or k 2 6 D No solution

1 4orr Solve each inequality and graph its solution 11 0 6 0 2n 0 8 0 5 A n 2 4 or n 2 0 9 B n 3 1 or n 4 32 C 2 4 0 9 D n 4 5 or n 3 5 Solve each equation 12 12 3 42 2x 67 A 6 c 6 3 C 343 6 5 4 3 2 10 10 10 B 7 9 D 7 40 2 3 4 5 0 0 13 13

16 16 5 316 10n 103 A 10 6 C 3 5 20 B 2 D 3 2 17 17 2 4k 2 2 18 A No solution 201 C 2 5 B 3 1 D 3 2

Solve each inequality 5 7 3r 6 62 48 A 0 rs4 B 45754 C r Sor D 3 rs6 3 6 2 4 6m 8 262 A m 4 or m 26 B 4 6 9 sms4 D 0 S or 24

Solve each inequality and graph its solution 7 8 8a 8 5 69 a 1 A a 1 0 421 1 2 3 C as 10 or a 2 D No solution B Isas 8 4 8 5 10b 9 7 12 A 3 b 2 14 12 10 8 7 B 6 b 7 C All real numbers D 4 b 3 7 8 9 10 202 8 7 6 5 4 3 2 1 0 1 2 3 0 567

14 14 6 x 1 A 7 C 7 7 B 2 2 D 3 3 15 15 1 10 x 19 A 10 10 C 9 9 B 6 6 D 2 2 Z

Fill in the blanks If then a 0 U B n

4 A jet left Los Angeles flying west five hours before a passenger plane The passenger plane flew in the opposite direction going 250 km h faster than the jet for five hours after which time the planes were 3950 km apart How fast did the jet fly A 180 kmh C 235 kmh B 240 kmh Dj 85 kmh

Simplify the following expression X X 8 x 8 3

Use the quotient rule to simplify 36w8z6 24w4z 36w8z6

Complete the sentence If a is a nonzero real number and m and n are integer exponents then an If a is a nonzero real number and m and n are integer exponents then an 11 11 am n

The metal plate has the constant temperatures shown on its boundaries Find the equilibrium temperature at each of the indicated interior points by setting up a system of linear equations pplying either the Jacobi or the Gauss Seidel method Obtain a solution that is accurate to within 0 001 0 90 t t3 0 90 30 t2 t 100 30 100

1 20 points Find the surface area of the right trapezoidal prism with side a 15 side b 36 the height is h 30 cm the slant length is d 36 cm and the length is c 72 cm D UP 1

point Convert the system ugmented matrix o an augmented matrix Then transform the system to reduced echelon form and determine if the system is consistent If the system is consistent then find all olutions educed echelon form the system consistent select olution x1 x 2x1 9x2 x1 4x2 1 lelp To enter a matrix use For example to enter the 2 x 3 matrix 44 20 1 1 2 3 6 5 4 ou would type 1 2 3 6 5 4 so each inside set of represents a row If there is no free variable in the solution then type 0 in each of the answer blanks directly