ELEMENTARY ALGEBRA This practice test measures our abilit to perform basic algebraic operations and to solve problems that involve elementar algebraic concepts. Directions: Solve each of the following problem in the space to the right of the question as provided and indicate ou answer b circling it.. 7 7 0.. If, then 7 7 7 0 7 7 0 7. If, 6 9 then. A factored form of 6a is a a a a ( a) a 6a a 6. If a and b -, then ab 6 b 7. The sum of two numbers is. If one number is, then in terms of, the other number is
8. If 6 - + 7, then. One of the solutions to the equation 08 0 is 9. 7 6 0.. 9 6 6 9 9 6 9. If +, then. Which of the following is a factor of 7 0? 0. Art downloaded apps per hour for t hours. In terms of t, what number of apps did he download? t t t +t
6. 8 7 6 0 6 0. Which of the following could represent the graph? 7. The length of a rectangle is 7 inches greater than its width. Which of the following epressions represents its area in terms of its width, w? ww 7 w 7 w 7 ww 7 8. If 9 is divided b, the remainder is 0 0 9. If 6, then 7 7 60 9. b 6 b b 8b 6b 6 0. In the solution of the sstem of equations above, what is the value of? -
. If +, then 7 7 9 6. b + b (b ) b + b b + b + b b b + b + 7. 0. If a b c e, then b e ac b+e a+c b e a c b e ac. a a a a a a a STOP!
ELEMENTARY ALGEBRA This practice test measures our abilit to perform basic algebraic operations and to solve problems that involve elementar algebraic concepts. Directions: Solve each of the following problem in the space to the right of the question as provided and indicate ou answer b circling it.. 7 7 0. Appl the distributive law of multiplication & watch our signs.. If, then 7 7 - - 7 0 7 7 0 7. If, 6 9 then Multipl: remember that eponents add when ou multipl this. 7 0 6 9 + 9 + 9 6. If a and b -, then ab 6 b 7. The sum of two numbers is. If one number is, then in terms of, the other number is ab 6 6 b 0 6 6 To make it easier for ou, let the unknown number or other number be represented b.. A factored form of 6a is a a a a ( a) a 6a a Thinking of the Reverse FOIL method (factoring), ou ll need the Outside & Inside multiplicands to cancel out for this result: a a 6 6a a a a Therefore: Now solve for :
8. If 6 - + 7, then 9. 7 6 0. 9 9 6 9. Which of the following is a factor of 7 0? 0 6 + 7-6 - 6 6 + 7-7 -7 9 6 Multipl it times: Remember that eponents add when ou multipl this. Use the FOIL method: 9 6 9 Use the reverse FOIL method (factoring): 0 7 0. One of the solutions to the equation 08 0 is. 9 6 6. If +, then Use the reverse FOIL method (factoring): 0 Solve each factor for : 0 0 + - - 6 Cross multipl &solve for :. Art downloaded apps per hour for t hours. In terms of t, what number of apps did he download? Rate apps per hour Rate apps hour # of hours time (t hour) t t t Multipl b number of hours to give number of apps. apps hour (t hour) t apps +t
6. 8 7 6 0 6 7. The length of a rectangle is 7 inches greater than its width. Which of the following epressions represents its area in terms of its width, w? ww 7 w 7 w 7 ww 7 8. If 9 is divided b, the remainder is 0 0 9. If 6, then 7 7 60 9 8 7 Find the least common denominator: st : Multipl 7 6 6 6 Area l w (l)ength w + 7 (w)idth w Area ww 7 9 Use the FOIL method: 0 9 0 nd : Compare Remainder: 0 6 6 6 6 0 0 9 6 0 Cross multipl: 0. Which of the following could represent the graph?. b 6 b b 8b 6b 6 0. In the solution of the sstem of equations above, what is the value of? - Tr some test coordinates X Y 0 0 6 9 - - - - 6 So the line must pass through the (0,0) coordinate which eliminates answers &. Since the values of X & Y are either both positive or both negative cannot be the correct answer. b b b 9 6b 9b 6b Solve for : + 6 - - 6 Now substitute for in: 0 6 0 Now solve for : 6 0 0 - -
. If +, then 7 60 9 ; 60 9 + Cross multipl & solve for : 6. b + b (b ) b + b b + b + b b b + b (b ) b + b b + b + b + 7 9 ( + ) ( ) + 9 6 8 +8 +8 + 7 6 - - 7 7 b + b + 7. 0 Find the least common denominator:. If a b c e, then b e ac b+e a+c a b c e -c -c a c b e +b +b a c b e b e a c (a c) b e b e a c b e ac. a a a a a a a a a a a( a) a a STOP!