Elementary Algebra
Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Chapter 2.3, Problem 2.61TI

Solve: 12 j = − 4 j + 32 .

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Compare the interest earned from #1 (where simple interest was used) to #5 (where compound interest was used). The principal, annual interest rate, and time were all the same; the only difference was that for #5, interest was compounded quarterly. Does the difference in interest earned make sense? Select one of the following statements.   a. No, because more money should have been earned through simple interest than compound interest.  b. Yes, because more money was earned through simple interest. For simple interest you earn interest on interest, not just on the amount of principal. c. No, because more money was earned through simple interest. For simple interest you earn interest on interest, not just on the amount of principal. d. Yes, because more money was earned when compounded quarterly. For compound interest you earn interest on interest, not just on the amount of principal.
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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. 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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. 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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. 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