Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 2.1, Problem 18E
In the following exercises, solve each equation using the Subtraction and Addition Properties of Equality.
18.
Expert Solution & Answer
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Check out a sample textbook solutionStudents have asked these similar questions
3. Answer the questions for the quadratic function f(x) = -2x² + 8x - 10
a. Does the parabola opens up or down?
b. Find the equation of the axis of symmetry.
c. Find the vertex.
d. Find the x and y intercepts.
e. Graph the function on the axis provided.
12
13
Practice:
2. Answer the questions for the quadratic function f(x) = x² + 8x+12
a. Does the parabola opens up or down?
b. Find the equation of the axis of symmetry.
c. Find the vertex.
d. Find the x and y intercepts.
e. Graph the function on the axis provided.
-10
7
Exercise 12.2. Let F be a field and n Є N.
(1) For every subset S of F", show that
I(S) := {f(x1,
.
,xn) Є F[x1,...,xn] | f (a₁,, an) = 0, V(a1,
..., an) E S}
is an ideal of the polynomial ring F[x1, ..., xn], called the vanishing ideal of S.
(2) Given two subsets S and T of F", prove or disprove that
I(SUT) = I(S)NI(T)
·
and
I(SNT) = I(S) + I(T).
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. 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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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- D2L Course Schedule × ⇒ Math 140 AC2 MT × G Google ☑ Untitled documen × G Google G square root sign ✗ adidas Samba OG X Math 140 AC2 MT X → C https://drive.google.com/file/d/1pXqJ_6k8OigXg6qML2lkxIM-bDwLhk5T/view 3. We're a little past the halfway point of the semester. I've been thinking about how we've been doing. I have noticed something interesting about the relationship between WAs and grades. I made a piecewise function to describe the situation. G(x) is the grade for someone who has completed x WAs. Use the function for parts a-c. (7.5 pts.) 20 for x=0 G(x)=15x+ 30 for 0arrow_forwardFor each of the following equations, a solution is given. Show whether the given solutionis correct by substituting the variable back into the equation. -9x = 18x = -2arrow_forwardA large mixing tank currently contains 200 gallons of water, into which 10 pounds of sugar have been mixed. A tap will open, pouring 10 gallons of water per minute into the tank at the same time sugar is poured into the tank at a rate of 3 pounds per minute. The concentration function has a vertical asymptote. Write the equation for the vertical asymptote. Does the vertical asymptote have any practical application in this problem? Why or why not?arrow_forward2 סוי vle.mathswatch.co.uk Queue | Oxf... X VIEWER XD... Submit a co... 18/28 Marks mplify 2a (a + 1) + 5(3a - 2) 2a+ 3 Answer + 5 البقاله بالهجه ..... W e r t y u # S £ יו 20 d f g harrow_forwardDraw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form. Click twice to plot each segment.Click a segment to delete it. 12345678910-1-2-3-4-5-6-7-8-9-1012345678910-1-2-3-4-5-6-7-8-9-10xy12345678910-1-2-3-4-5-6-7-8-9-1012345678910-1-2-3-4-5-6-7-8-9-10xy Answer Attempt 1 out of 2 Slope of the Line:arrow_forwardD2L Course Schedule × zm MATH 140 AC O Math 140 AC2 MT X Home - Google Dix Untitled documen X APznzaZOmoEKtr X adidas Samba OG × ✓ Math 140 AC2 MT × | + C doc-08-9s-prod-00-apps-viewer.googleusercontent.com/viewer2/prod-00/pdf/4b40ij3n5ssib10rfbdvgd4hcOnkjh9f/0972m4636 vecpvn6ctclvph34kfeur7... Q Update: APznzaZOmoEKtnM4eg2YA5rwDV97bDw0GG39cSO6IEGFlaYSOS4iHO... 2 / 3 - 90% + | 2. We spent a lot of time working with linear functions and distinguishing them from nonlinear functions. For a-c, if the function is linear, find its equation. If it is not linear, explain why it's not linear. (7.5 pts.) a) The UPass is a great program for students in college. You pay $80 for unlimited ‘L' and bus rides for the entire semester. U(x) is the cost for x 'L' and bus rides in one semester. b) X g(x) -1 -1 -2 -3 2 5 0 1 1 3 c) 4. 3. 2 1- 6 -5 -4 -3 -2 -1 0 1 2 4 5 6 7 8 -1- -2arrow_forwardD2L Course Sched X | zm MATH 140 ✗ Math 140 AC2 × Untitled docun X APznzaZOmoE X adidas Samba × |_ Math 140 AC2 × Home - Google × b Home | bartleb × | + С doc-08-9s-prod-00-apps-viewer.googleusercontent.com/viewer2/prod-00/pdf/4b40ij3n5ssib10rfbdvgd4hc0nkjh9f/0972m4636 vecpvn6ctclvph34kfeur7... Q Update: III APznzaZOmoEKtnM4eg2YA5rwDV97bDw0GG39cSO6IEGFlaYSoS4iHO... MT Check In Pat 1 2 20 for x=0 G(x)=15+ 300arrow_forwardThank you.arrow_forwardThank you.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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