ELEMENTARY ALGEBRA

  Follow order of operations to simplify the following expression: 1) 5 - 7 -2 + (-6) + 1 Evaluate the expression using the values given for the variables. 2) m(5 - n) + m 2 ; use m = -5, and n = 7 Simplify the expression. 3) -9(3 + 10n) - 6(n - 8) Simplify the expression and write your answer as a fraction in lowest terms. 4) (- 4 7 ) - 1 2 - (- 1 8 ) Use a proportion to set up and solve the following problem. Round your answer to the nearest tenth if necessary. 5) A 9.5 ft tall adult elephant standing next to a bird bath casts a 26.6 ft shadow. If the bird bath casts a shadow that is 9.2 ft long, then how tall is it? Set up and solve an equation to answer the question below. Round your answer to the nearest tenth of a percent if necessary. 6) 46 is what percent of 56? ©A e2I0h1q7g qKHurtWal zScoIfVtnwdahrGeh mL[LTCC.t y bAXlqle HrJiigxhTtfs^ LrPeFsfe`rnvCeddV.C e ]MCa^dVeP gwQiDtvhY mIDnEfUiHnliKtye` `PTr[eJ-FABlegeeFbjrYaV. 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 33 grams to 54 grams Find the final price of the item below, given that the tax will be applied to the discounted price. 8) Original price of a book: $96.50 Discount: 55% Tax: 5% Use simple interest to find the ending balance, given the following values for principal, rate, and time. 9) $31,700 at 10.9% for 2 years Solve the equation given in #10. 10) -4n + 3 = 39 Solve the equation given in #11. 11) 44 = -5(5x - 8) + 3(6x - 1) Solve the equation given in #12. 12) 2 5 a - 1 2 a = - 2 15 Solve the equation given in #13. 13) -6.31 - 1.4n = 1 - 3.1n Solve the inequality in #14, write its solution set in interval notation, and graph the solution set on a number line. 14) 3x - 2 > -56 ©O n2o0m1I7b SK]uLtUaF zS^owfktUwyaerVew MLILLCR.y r gA^l_lp _ruiNgDh_t_sQ GrTedsBeqrQv`eMdc.b g dMBaZdheS zwYiDtwh` LIlnhfSiCnli^tfeW ^Pxrbej-hA_lngyekbUr\ar. 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) -6(3b + 2) ³ 2(2b + 5) 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) x - 2y = 6 Write the slope-intercept form of the equation of the line through the given points. 18) through: (-5, 4) and (1, -4) Find at least three ordered pairs that satisfy the equation and sketch the graph of the line through them. 19) 16 = 7x + 4y Solve the system of equations by the method of substitution. 20) y = -2x 2x + 4y = 18 ©V r2C0O1x7^ SKOuRtia] eSkopfjt`w^a]rkeN WLNLBCj.U v YAolzlI RrfiZgNhRtZsE TrgexsYeMrmvtemdA.t h VMwaKdcey IwmigtqhG lIEndfhiCnQiLtleC WPMrMeF-yATlzgPebbQrRax. Worksheet by Kuta Software LLC -4- Write the point-slope form of the equation of the line described. 21) through: (3, 5), parallel to y = - 7 2 x + 5 Write the slope-intercept form of the equation of the line described. 22) through: (-4, -1), perpendicular to y = - 2 3 x - 4 Solve the system by graphing both lines on one coordinate system. 23) x + 2y = 2 x - 4y = 8 Solve the system of equations by the method of elimination. 24) 10x + 11y = 9 -6x - y = -11 25) Julia and Eugene are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Julia sold 5 apple pies and 10 lemon meringue pies for a total of $245. Eugene sold 9 apple pies and 5 lemon meringue pies for a total of $194. What is the cost each of one apple pie and one lemon meringue pie?