Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 2.2, Problem 2.37TI
Solve:
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Chapter 2 Solutions
Elementary Algebra
Ch. 2.1 - Is y=43 a solution of 9y+2=6y+3 ?Ch. 2.1 - Is y=75 a solution of 5y+3=10y4 ?Ch. 2.1 - Solve: x+19=27 .Ch. 2.1 - Solve: x+16=34 .Ch. 2.1 - Solve: n61=75 .Ch. 2.1 - Solve: p41=73 .Ch. 2.1 - Solve: p23=56 .Ch. 2.1 - Solve: q12=56 .Ch. 2.1 - Solve: b0.47=2.1 .Ch. 2.1 - Solve: c0.93=4.6 .
Ch. 2.1 - Solve: 8y47y7=4 .Ch. 2.1 - Solve: 6z+55z4=3 .Ch. 2.1 - Solve: 5(p3)4p=10 .Ch. 2.1 - Solve: 4(q+2)3q=8 .Ch. 2.1 - Solve: 4(2h3)7h=6(h2)6(h1) .Ch. 2.1 - Solve: 2(5x+2)9x=3(x2)3(x4) .Ch. 2.1 - Translate and solve: Ten more than x is equal to...Ch. 2.1 - Translate and solve: Twelve less than x is equal...Ch. 2.1 - Translate and solve: The difference of 4x and 3x...Ch. 2.1 - Translate and solve: The difference of 7a and 6a...Ch. 2.1 - Translate into an algebraic equation and solve:...Ch. 2.1 - Translate into an algebraic equation and solve:...Ch. 2.1 - Translate into an algebraic equation and solve:...Ch. 2.1 - Translate into an algebraic equation and solve:...Ch. 2.1 - In the following exercises, determine whether the...Ch. 2.1 - In the following exercises, determine whether the...Ch. 2.1 - In the following exercises, determine whether the...Ch. 2.1 - In the following exercises, determine whether the...Ch. 2.1 - In the following exercises, solve each equation...Ch. 2.1 - In the following exercises, solve each equation...Ch. 2.1 - 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How do...Ch. 2.1 - What is the first step in your solution to the...Ch. 2.2 - Solve: 3y=41 .Ch. 2.2 - Solve: 4z=55 .Ch. 2.2 - Solve: a7=42 .Ch. 2.2 - Solve: b6=24 .Ch. 2.2 - Solve: k=8 .Ch. 2.2 - Solve: g=3 .Ch. 2.2 - Solve: 25n=14 .Ch. 2.2 - Solve: 56y=15 .Ch. 2.2 - Solve: 925=45z .Ch. 2.2 - Solve: 56=83r .Ch. 2.2 - Solve: 1827=15c9c3c .Ch. 2.2 - Solve: 1822=12xx4x .Ch. 2.2 - Solve: 4(q2)8=24 .Ch. 2.2 - Solve: 6(r2)12=30 .Ch. 2.2 - Translate and solve: The number 132 is the product...Ch. 2.2 - Translate and solve: The number 117 is the product...Ch. 2.2 - Translate and solve: n divided by 7 is equal to 21...Ch. 2.2 - Translate and solve: n divided by 8 is equal to 56...Ch. 2.2 - Translate and solve: The quotient of q and 8 is...Ch. 2.2 - Translate and solve: The quotient of p and 9 is...Ch. 2.2 - Translate and solve: Two-fifths of f is 16.Ch. 2.2 - Translate and solve: Three-fourths of f is 21.Ch. 2.2 - Translate and solve: The sum of five-eighths and x...Ch. 2.2 - Translate and solve: The sum of three-fourths and...Ch. 2.2 - 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Solve: 3p14=5p .Ch. 2.3 - Solve: 8m+9=5m .Ch. 2.3 - Solve: 12j=4j+32 .Ch. 2.3 - Solve: 8h=4h+12 .Ch. 2.3 - Solve: 12x+8=6x+2 .Ch. 2.3 - Solve: 9y+4=7y+12 .Ch. 2.3 - Solve: 8q5=4q+7 .Ch. 2.3 - Solve: 7n3=n+3 .Ch. 2.3 - Solve: 2a2=6a+18 .Ch. 2.3 - Solve: 4k1=7k+17 .Ch. 2.3 - Solve: 78x12=18x2 .Ch. 2.3 - Solve: 76y+11=16y+8 .Ch. 2.3 - Solve: 2.8x+12=1.4x9 .Ch. 2.3 - Solve: 3.6y+8=1.2y4 .Ch. 2.3 - In the following exercises, solve the following...Ch. 2.3 - In the following exercises, solve the following...Ch. 2.3 - In the following exercises, solve the following...Ch. 2.3 - In the following exercises, solve the following...Ch. 2.3 - In the following exercises, solve the following...Ch. 2.3 - In the following exercises, solve the following...Ch. 2.3 - In the following exercises, solve the following...Ch. 2.3 - In the following exercises, solve the following...Ch. 2.3 - In the following exercises, solve the following...Ch. 2.3 - In the following exercises, solve the following...Ch. 2.3 - In the following exercises, solve the following...Ch. 2.3 - 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How...Ch. 2.4 - Solve: 5(x+3)=35 .Ch. 2.4 - Solve: 6(y4)=18 .Ch. 2.4 - Solve: (y+8)=2 .Ch. 2.4 - Solve: (z+4)=12 .Ch. 2.4 - Solve: 2(m4)+3=1 .Ch. 2.4 - Solve: 7(n3)8=15 .Ch. 2.4 - Solve: 13(6u+3)=7u .Ch. 2.4 - Solve: 23(9x12)=8+2x .Ch. 2.4 - Solve: 123(4j+3)=17 .Ch. 2.4 - Solve: 68(k2)=10 .Ch. 2.4 - Solve: 6(p3)7=5(4p+3)12 .Ch. 2.4 - Solve: 8(q+1)5=3(2q4)1 .Ch. 2.4 - Solve: 6[42(7y1)]=8(138y) .Ch. 2.4 - Solve: 12[15(4z1)]=3(24+11z) .Ch. 2.4 - Solve: 0.55(100n+8)=0.6(85n+14) .Ch. 2.4 - Solve: 0.15(40m120)=0.5(60m+12) .Ch. 2.4 - Classify the equation as a conditional equation,...Ch. 2.4 - Classify the equation as a conditional equation,...Ch. 2.4 - Classify the equation as a conditional equation,...Ch. 2.4 - Classify the equation as a conditional equation,...Ch. 2.4 - Classify the equation as a conditional equation,...Ch. 2.4 - Classify the equation as a conditional equation,...Ch. 2.4 - In the following exercises, solve each linear...Ch. 2.4 - In the following exercises, solve each linear...Ch. 2.4 - 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The...Ch. 2.4 - Using your own words, list the steps in the...Ch. 2.4 - Explain why you should simplify both sides of an...Ch. 2.4 - What is the first step you take when solving the...Ch. 2.4 - Solve the equation 14(8x+20)=3x4 explaining all...Ch. 2.5 - Solve: 14x+12=58 .Ch. 2.5 - Solve: 18x+12=14 .Ch. 2.5 - Solve: 7=12x+34x23x .Ch. 2.5 - Solve: 1=12u+14u23u .Ch. 2.5 - Solve: x+13=16x12 .Ch. 2.5 - Solve: c+34=12c14 .Ch. 2.5 - Solve: 11=12(6p+2) .Ch. 2.5 - Solve: 8=13(9q+6) .Ch. 2.5 - Solve: 15(n+3)=14(n+2) .Ch. 2.5 - Solve: 12(m3)=14(m7) .Ch. 2.5 - Solve: 4y73=y6 .Ch. 2.5 - Solve: 2z54=z8 .Ch. 2.5 - Solve: b10+2=b4+5 .Ch. 2.5 - Solve: c6+3=c3+4 .Ch. 2.5 - Solve: 3r+56+1=4r+33 .Ch. 2.5 - Solve: 2s+32+1=3s+24 .Ch. 2.5 - Solve: 0.14h+0.12=0.35h2.4 .Ch. 2.5 - Solve: 0.65k0.1=0.4k0.35 .Ch. 2.5 - Solve: 0.25n+0.05(n+5)=2.95 .Ch. 2.5 - Solve: 0.10d+0.05(d5)=2.15 .Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - In the following exercises, solve each equation...Ch. 2.5 - Coins Taylor has $2.00 in dimes and pennies. The...Ch. 2.5 - Stamps Paula bought $22.82 worth of 49-cent stamps...Ch. 2.5 - Explain how you find the least common denominator...Ch. 2.5 - If an equation has several fractions, how does...Ch. 2.5 - If an equation has fractions only on one side, why...Ch. 2.5 - In the equation 0.35x+2.1=2.85 what is the LCD?...Ch. 2.6 - Lindsay drove for 512 hours at 60 miles per hour....Ch. 2.6 - Trinh walked for 213 hours at 3 miles per hour....Ch. 2.6 - Lee wants to drive from Phoenix to his brother’s...Ch. 2.6 - Yesenia is 168 miles from Chicago. If she needs to...Ch. 2.6 - Solve the formula d=rt for r: (a) when d=180 and...Ch. 2.6 - Solve the formula d=rt for r: (a) when d=780 and...Ch. 2.6 - Use the formula A=12bh to solve for h: (a) when...Ch. 2.6 - Use the formula A=12bh to solve for b: (a) when...Ch. 2.6 - Use the formula I=Prt to find the principal, P:...Ch. 2.6 - Use the formula I=Prt to find the principal, P:...Ch. 2.6 - Solve the formula 3x+4y=10 for y: (a) when x=143...Ch. 2.6 - Solve the formula 5x+2y=18 for y: (a) when x=4 (b)...Ch. 2.6 - Solve the formula P=a+b+c for b.Ch. 2.6 - Solve the formula P=a+b+c for c.Ch. 2.6 - Solve the formula 4x+7y=9 for y.Ch. 2.6 - Solve the formula 5x+8y=1 for y.Ch. 2.6 - In the following exercises, solve. 376. Steve...Ch. 2.6 - In the following exercises, solve. 377. Socorro...Ch. 2.6 - In the following exercises, solve. 378. Yuki...Ch. 2.6 - In the following exercises, solve. 379. Francie...Ch. 2.6 - In the following exercises, solve. 380. Connor...Ch. 2.6 - In the following exercises, solve. 381. Megan is...Ch. 2.6 - In the following exercises, solve. 382. Aurelia is...Ch. 2.6 - In the following exercises, solve. 383. Kareem...Ch. 2.6 - In the following exercises, solve. 384. Javier is...Ch. 2.6 - In the following exercises, solve. 385. Alejandra...Ch. 2.6 - In the following exercises, solve. 386. Aisha took...Ch. 2.6 - In the following exercises, solve. 387. Philip got...Ch. 2.6 - In the following exercises, use the formula d=rt....Ch. 2.6 - In the following exercises, use the formula d=rt....Ch. 2.6 - In the following exercises, use the formula d=rt....Ch. 2.6 - In the following exercises, use the formula d=rt....Ch. 2.6 - In the following exercises, use the formula d=rt....Ch. 2.6 - In the following exercises, use the formula d=rt....Ch. 2.6 - In the following exercises, use the formula d=rt....Ch. 2.6 - In the following exercises, use the formula d=rt....Ch. 2.6 - In the following exercises, use the formula...Ch. 2.6 - In the following exercises, use the formula...Ch. 2.6 - In the following exercises, use the formula...Ch. 2.6 - In the following exercises, use the formula...Ch. 2.6 - In the following exercises, use the formula I=Prt....Ch. 2.6 - In the following exercises, use the formula I=Prt....Ch. 2.6 - In the following exercises, use the formula I=Prt....Ch. 2.6 - In the following exercises, use the formula I=Prt....Ch. 2.6 - In the following exercises, solve. 404. Solve the...Ch. 2.6 - In the following exercises, solve. 405. Solve the...Ch. 2.6 - In the following exercises, solve. 406. Solve the...Ch. 2.6 - In the following exercises, solve. 407. Solve the...Ch. 2.6 - In the following exercises, solve. 408. Solve...Ch. 2.6 - In the following exercises, solve. 409. Solve...Ch. 2.6 - In the following exercises, solve. 410. Solve...Ch. 2.6 - In the following exercises, solve. 411. Solve...Ch. 2.6 - In the following exercises, solve. 412. Solve the...Ch. 2.6 - In the following exercises, solve. 413. Solve the...Ch. 2.6 - In the following exercises, solve. 414. Solve the...Ch. 2.6 - In the following exercises, solve. 415. Solve the...Ch. 2.6 - In the following exercises, solve. 416. Solve the...Ch. 2.6 - In the following exercises, solve. 417. Solve the...Ch. 2.6 - In the following exercises, solve. 418. Solve the...Ch. 2.6 - In the following exercises, solve. 419. Solve the...Ch. 2.6 - In the following exercises, solve. 420. Solve the...Ch. 2.6 - In the following exercises, solve. 421. Solve the...Ch. 2.6 - In the following exercises, solve. 422. Solve the...Ch. 2.6 - In the following exercises, solve. 423. Solve the...Ch. 2.6 - In the following exercises, solve. 424. Solve the...Ch. 2.6 - In the following exercises, solve. 425. Solve the...Ch. 2.6 - Converting temperature While on a tour in Greece,...Ch. 2.6 - Converting temperature Yon was visiting the United...Ch. 2.6 - Solve the equation 2x+3y=6 for y (a) when x=3 (b)...Ch. 2.6 - Solve the equation 5x2y=10 for x (a) when y=10 (b)...Ch. 2.7 - Graph on the number line: (a) x1 (b) x2 (c) x3Ch. 2.7 - Graph on the number line: (a) x2 (b) x3 (c) x1Ch. 2.7 - Graph on the number line and write in interval...Ch. 2.7 - Graph on the number line and write in interval...Ch. 2.7 - Solve the inequality, graph the solution on the...Ch. 2.7 - Solve the inequality, graph the solution on the...Ch. 2.7 - Solve the inequality, graph the solution on the...Ch. 2.7 - Solve the inequality, graph the solution on the...Ch. 2.7 - Solve each inequality, graph the solution on the...Ch. 2.7 - Solve each inequality, graph the solution on the...Ch. 2.7 - Solve the inequality, graph the solution on the...Ch. 2.7 - Solve the inequality, graph the solution on the...Ch. 2.7 - Solve the inequality, graph the solution on the...Ch. 2.7 - Solve the inequality, graph the solution on the...Ch. 2.7 - Solve the inequality 3q7q23 , graph the solution...Ch. 2.7 - Solve the inequality 6x10x+19 , graph the solution...Ch. 2.7 - Solve the inequality 9y+2(y+6)5y24 , graph the...Ch. 2.7 - Solve the inequality 6u+8(u1)10u+32 , graph the...Ch. 2.7 - Solve the inequality 4b3(3b)5(b6)+2b , graph the...Ch. 2.7 - Solve the inequality 9h7(2h)8(h+11)+8h , graph the...Ch. 2.7 - Solve the inequality 14x112x16x+78 , graph the...Ch. 2.7 - Solve the inequality 25z13z115z35 , graph the...Ch. 2.7 - Translate and solve. Then write the solution in...Ch. 2.7 - Translate and solve. Then write the solution in...Ch. 2.7 - Translate and solve. Then write the solution in...Ch. 2.7 - Translate and solve. 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In the following exercises, solve each inequality,...Ch. 2.7 - In the following exercises, solve each inequality,...Ch. 2.7 - In the following exercises, solve each inequality,...Ch. 2.7 - In the following exercises, solve each inequality,...Ch. 2.7 - In the following exercises, solve each inequality,...Ch. 2.7 - In the following exercises, solve each inequality,...Ch. 2.7 - In the following exercises, solve each inequality,...Ch. 2.7 - In the following exercises, solve each inequality,...Ch. 2.7 - In the following exercises, solve each inequality,...Ch. 2.7 - In the following exercises, solve each inequality,...Ch. 2.7 - In the following exercises, solve each inequality,...Ch. 2.7 - In the following exercises, solve each inequality,...Ch. 2.7 - In the following exercises, solve each inequality,...Ch. 2.7 - In the following exercises, solve each inequality,...Ch. 2.7 - In the following exercises, solve each inequality,...Ch. 2.7 - In the following exercises, solve each inequality,...Ch. 2.7 - 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- Last Chance Mine (LCM) purchased a coal deposit for $2,918,300. It estimated it would extract 18,950 tons of coal from the deposit. LCM mined the coal and sold it, reporting gross receipts of $1.24 million, $13 million, and $11 million for years 1 through 3, respectively. During years 1-3, LCM reported net income (loss) from the coal deposit activity in the amount of ($11,400), $550,000, and $502,500, respectively. In years 1-3, LCM extracted 19,950 tons of coal as follows: (1) Tons of Coal 18,950 Depletion (2) Basis (2)(1) Rate $2,918,300 $154.00 Tons Extracted per Year Year 1 4,500 Year 2 8,850 Year 3 6,600 Note: Leave no answer blank. Enter zero if applicable. Enter your answers in dollars and not in millions of dollars. a. What is LCM's cost depletion for years 1, 2, and 3? Cost Depletion Year 1 Year 2 Year 3arrow_forwardConsider the following equation. log1/9' =6 Find the value of x. Round your answer to the nearest thousandth. x = ✓arrow_forwardExpanding a logarithmic expression: Problem type 3 Use the properties of logarithms to expand the following expression. 4(8+x)² log 5 ) Your answer should not have radicals or exponents. You may assume that all variables are positive. log 4(8 + X 5 -x)²arrow_forward
- Use the properties of logarithms to expand the following expression. log 6(x+5)² 3/24 Your answer should not have radicals or exponents. You may assume that all variables are positive. log 6(x + 3 I 4 5)² log Xarrow_forwardDone וון Exponential and Logarithmic Functions Expanding a logarithmic expression: Problem type 2 www-awy.aleks.com Use the properties of logarithms to expand the following expression. 3 log yz 5 x 0/3 Anthony Each logarithm should involve only one variable and should not have any radicals or exponents. You may assume that all variables are positive. log yz x 5 3 = Explanation Check log Español Aa ☑ © ZUZI MILOT AW MIII LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibilityarrow_forwardExpanding a logarithmic expression: Problem type 2 Use the properties of logarithms to expand the following expression. 3 yz log 5 x 0/3 An Each logarithm should involve only one variable and should not have any radicals or exponents. You may assume that all variables are positive. log yz 3 厚 5 Explanation Check log ☑ 2025 MG ¿W MIII LLC. All Rights Reserved. Terms of Use | Privacy Centerarrow_forward
- Expanding a logarithmic expression: Problem type 2 Use the properties of logarithms to expand the following expression. 3 yz log 5 x 0/3 An Each logarithm should involve only one variable and should not have any radicals or exponents. You may assume that all variables are positive. log yz 3 厚 5 Explanation Check log ☑ 2025 MG ¿W MIII LLC. All Rights Reserved. Terms of Use | Privacy Centerarrow_forwardWhat is the domain and range, thank you !!arrow_forwardAssume a bivariate patch p(u, v) over the unit square [0, 1]² that is given as a tensor product patch where u-sections (u fixed to some constant û; v varying across [0, 1]) are quadratic polynomials Pu:û(v) = p(û, v) while v-sections are lines pv:ô (u) = p(u, v). The boundary lines pv:o(u) and pv:1 (u) are specified by their end points p(0,0) 0.8 and p(1,0) 0.2 as well as p(0, 1) 0.3 and p(1, 1) = 0.8. The boundary quadratics pu:o(v) and pu:1 (v) interpolate p(0,0.5) = 0.1 and p(1, 0.5) = 0.9 in addition to the above given four corner-values. = = = Use Pu:û(v) = (1, v, v² ) Mq (Pu:û(0), Pu:û (0.5), Pu:û(1)) with Ma = 1 0 0 -3 4-1 2 4 2 (Pv:ô as well as pu: (u) = (1, u) M₁ (pv:v (0), P: (1)) with M₁ = = (19) 0 to formulate p(u, v) using the "geometric input" G with G = = (P(0,0%) p(0,0) p(0,0.5) p(0,1) ) = ( 0.39 0.8 0.1 0.3 0.2 0.9 0.8 p(1,0) p(1, 0.5) p(1, 1) See the figure below for (left) a selection of iso-lines of p(u, v) and (right) a 3D rendering of p(u, v) as a height surface…arrow_forward
- O Functions Composition of two functions: Domain and... Two functions ƒ and g are defined in the figure below. 76 2 8 5 7 8 19 8 9 Domain of f Range of f Domain of g Range of g 3/5 Anthony Find the domain and range of the composition g.f. Write your answers in set notation. (a) Domain of gof: ☐ (b) Range of gof: ☐ Х Explanation Check 0,0,... Español لكا ©2025 McGraw Hill LLC. All Rights Reserved Torms of lico Privacy Contor Accessibility.arrow_forwardTwo functions ƒ and g are defined in the figure below. g 6 6 7 8 8 8 9 Domain of f Range of f Domain of g Range of g Find the domain and range of the composition g.f. Write your answers in set notation. (a) Domain of gof: (b) Range of gof: ☐ ☑ 0,0,...arrow_forwardDone Oli ○ Functions Composition of two functions: Domain and range Two functions 0 g 3 4 6 www-awy.aleks.com g and ƒ are defined in the figure below. 8 8 9 Domain of g Range of g Domain of f Range of f 0/5 Anthony Find the domain and range of the composition f.g. Write your answers in set notation. (a) Domain of fog: ☐ (b) Range of fog: ☐ Х Explanation Check 0,0,... Español © 2025 McGraw HillLLC. AIL Rights Reserved Terms of Use | Privacy Center Accessibilityarrow_forward
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