Elementary Algebra
Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
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Chapter 2.1, Problem 75E

Is − 8 a solution to the equation 3 x = 16 − 5 x ? How do you know?

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(a) (b) (c) (d) de unique? Answer the following questions related to the linear system x + y + z = 2 x-y+z=0 2x + y 2 3 rewrite the linear system into the matrix-vector form A = 5 Fuse elementary row operation to solve this linear system. Is the solution use elementary row operation to find the inverse of A and then solve the linear system. Verify the solution is the same as (b). give the null space of matrix A and find the dimension of null space. give the column space of matrix A and find the dimension of the column space of A (Hint: use Rank-Nullity Theorem).
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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 - Translate and solve: Arianna bought a 24-pack of...Ch. 2.2 - Translate and solve: At JB’s Bowling Alley, 6...Ch. 2.2 - Translate and solve: The annual property tax on...Ch. 2.2 - Translate and solve: Stella planted 14 flats of...Ch. 2.2 - In the following exercises, solve each equation...Ch. 2.2 - In the following exercises, solve each equation...Ch. 2.2 - In the following exercises, solve each equation...Ch. 2.2 - In the following exercises, solve each equation...Ch. 2.2 - In the following exercises, solve each equation...Ch. 2.2 - In the following exercises, solve each equation...Ch. 2.2 - In the following exercises, solve each equation...Ch. 2.2 - In the following exercises, solve each equation...Ch. 2.2 - In the following exercises, solve each equation...Ch. 2.2 - In the following exercises, solve each equation...Ch. 2.2 - In the following exercises, solve each equation...Ch. 2.2 - In the following exercises, solve each equation...Ch. 2.2 - In the following exercises, solve each equation...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. 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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. 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. Then write the solution in...Ch. 2.7 - In the following exercises, graph each inequality...Ch. 2.7 - In the following exercises, graph each inequality...Ch. 2.7 - In the following exercises, graph each inequality...Ch. 2.7 - In the following exercises, graph each inequality...Ch. 2.7 - In the following exercises, graph each inequality...Ch. 2.7 - In the following exercises, graph each inequality...Ch. 2.7 - In the following exercises, graph each inequality...Ch. 2.7 - In the following exercises, graph 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 - 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 - 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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