Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Law of large numbers wikipedia , lookup
Line (geometry) wikipedia , lookup
Elementary mathematics wikipedia , lookup
Recurrence relation wikipedia , lookup
System of polynomial equations wikipedia , lookup
Elementary algebra wikipedia , lookup
History of algebra wikipedia , lookup
Advanced Algebra II Test #1 Review Name:_______________________; Date _________ Evaluate the expression for the given value of the variable. 2. 6h 2 h when h=4 1. (k 2)2 6k when k= - 5 3. x 2 5 y 2 when x= -2 and y= -3 4. n3 4n 10 when n= -3 In problems 5 and 6; indentify the variable, write an equation that represents the problem, solve the equation and indentify the solution. 5. Twice the sum of a number and 16 is 30. 6. Five less than the sum of a number and 3 is 49. In 7 and 8, simplify the expression. 7. 8( s t ) 16(t s) 8. 3( x2 y) 9( x 2 2 y) In 9-14, solve the equation. Check your solution. 5 1 9. 7 c 22 10. 1 a 5 2 3 11. 3(2 x 5) x 7( x 3) 13. 1 1 t t 10 2 3 12. 2(4 3x) 7 6( x 1) 14. Solve for x. Then find the length of each side of the figure. Perimeter = 46 2x+3 x+2 In 15-17, solve for y (isolate y), then find the value of y for the given value of x. 15) 8 y 14 x 22; x 5 16) 8 y 6 x y 36; x 6 1 2 17) x y 2; x 1 3 5 In 18-23, solve for the indicated value and then evaluate 18-20 at the given values. 19) n V at for a; 3xy 18) E MC 2 for M; E 2,C 2 5g 7 20) n 4,V 1,t 2 2 21) v 1 at ; 2 for t 22) A p prt , for t 23) 3xy 5g 7 2 for x; g 2, y 3, for g In 24-29, solve for all values of x. Give simplest solution set and then graph the solution on the number line provided. 24) 4 10x 26 25) x 4 5 and x 2 3 26) 10 3x 1 14 27) 1 3 3 x x and x 3 4 2 4 2 28) x 4 2 or x 2 2 29) x 2 4 2 or x 2 3 3 Solve the following. 30) A box of greeting cards costs $4.95. There is a shipping and handling fee of $5.25 for the entire order. How many boxes of cards can you order if you want to spend no more than $30? Identify variables Write Equations Solve Equation Interpret results 31) Find four consecutive integers such that the sum of all four is 78. Identify variables Write Equations Solve Equation Interpret results 32) You and some friends have raised $250 to help make a video for a contest. You need $35 to buy videotapes. It costs $45 per day to rent the video camera. Write and solve an inequality to find the possible numbers of days you can rent the video camera. Identify variables Write Equations Solve Equation Interpret results