Algebra Math Problems

Follow order of operations to simplify the following expression:

1)- 30 8 - 5 -2 - (- 9 ) Evaluate the expression using the values given for the variables.

2) m - m2 - n ; use m = -7, and n = -6 Simplify the expression.

3) -6 (9 + 3k ) - 6 (1 - 7k ) Simplify the expression and write your answer as a fraction in lowest terms.

4) 10 7 - 13 8 - (- 3 2 ) Use a proportion to set up and solve the following problem. Round your answer to the nearest tenth if necessary.

5) If a 4.5 ft tall woman casts a 7.7 ft long shadow, then how tall is a man who casts a 12.8 ft shadow?Set up and solve an equation to answer the question belo w. Round your answer to the nearest tenth of a percent if necessary.

6) What percent of 111.2 is 43?

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Worksheet by Kuta Software LLC -2- Find the percentage change. Round to the nearest tenth of a percent if necessary and state whether the change is an increase or a decrease.

7) From 51 hours to 84 hours Find the final price of the item below, given that the tax will be applied to the discounted price.

8) Original price of a puppy: $369.99 Discount: 23% Tax: 5% Use simple interest to find the ending balance, given the following values for principal, rate, and time.

9) $910 at 2.9% for 3 years Solve the equation given in #10.

10) -1 + 5m = -31 Solve the equation given in #11.

11) -7 (1 - 3r ) + 6 (3 + r ) = -16 Solve the equation given in #12.

12) -4 15 = 5 4 x - 4 3 x Solve the equation given in #13.

13) 2x - 1.2 = 8.42 - 1.7 x Solve the inequality in #14, write its solution set in interval notation, and graph the solution set on a number line.

14) 6b - 8 ³ 76 ©f K 2T 0H 1E 7b R K UuatM af G Sso `fIto w _aS rG eQ W LH LoC D .D F f A dlV lg W rk iD gxhR tj s c p rle Jsie n rfv F e`d q.Q M U M zap dJe ` o w ri[ t] h d S Iv nsfF ij n T iF t[ e O P Ptr o eo -b A ol] g P eib ]re aw .Worksheet by Kuta Software LLC -3- Solve the inequality in #15, write its solution set in interval notation, and graph the solution set on a number line.

15) -2n - 2 (2 + n ) ³ 2n - 4 (n + 3 ) Find the slope of the line. Assume that the scale on each axis is 1 unit per tick mark.

16) x y Find the x- and y-intercepts of the line represented by the equation below. Plot both intercepts on a coordinate system and draw the line through them.

17) 4x + y = 4 Write the slope-intercept form of the equation of the line through the given points.

18) through: (-5, 4 ) and (3, - 1 ) Find at least three ordered pairs that satisfy the equation and sketch the graph of the line through them.

19) 6 = 3y - 12 x Solve the system of equations by the method of substitution.

20) -2x + 6y = -14 y = -2x © R R 2 ] 0 U 1 y 7 d V K I u F t E a P j S M o n f F t O w K a p r n e v ` L r L w C _ . k ] d A E l e l x _ r \ i U g z h W t L s d T r w e e s \ e \ r R v ` e h d e . a k T M Q a A d \ e Z D w C i g t ` h \ Q I s n i f e i a n y i K t x e H B P B r v e E - B A l l Y g p e m b o r Y a i .Work sh eet b y K uta S oftw are L LC -4 - Writ e t h e p oin t-s lo p e f o rm o f t h e e q uatio n o f t h e l in e d esc rib ed .

21) th ro ugh:

( 2 , - 3 ) , p ara lle l t o y = 1 2 x + 5 Writ e t h e s lo p e-in te rc ep t f o rm o f t h e e q uatio n o f t h e l in e d esc rib ed .

22) th ro ugh:

( 1 , - 5 ) , p erp en dic u la r t o y = 2 3 x - 3 Solv e t h e s y ste m b y g ra p hin g b oth l in es o n o n e c o ord in ate s y ste m .

23) x + y = - 3 3 x - 2 y = - 4 Solv e t h e s y ste m o f e q uatio n s b y t h e m eth od o f e lim in atio n .

24) 14 x - 2 y = - 4 7 x - 4 y = - 29 25) Beth a n d C aste l a re s e llin g w ra p pin g p ap er f o r a s c h ool f u ndra is e r. C usto m ers c an b uy r o lls o f pla in w ra p pin g p ap er a n d r o lls o f h olid ay w ra p pin g p ap er. B eth s o ld 9 r o lls o f p la in w ra p pin g pap er a n d 1 4 r o lls o f h olid ay w ra p pin g p ap er f o r a t o ta l o f $ 304. C aste l s o ld 3 r o lls o f p la in wra p pin g p ap er a n d 9 r o lls o f h olid ay w ra p pin g p ap er f o r a t o ta l o f $ 162. F in d t h e c o st e ach o f one r o ll o f p la in w ra p pin g p ap er a n d o ne r o ll o f h olid ay w ra p pin g p ap er.