Problem 1SP: Skill Practice 1
Solve.
Problem 2SP: Skill Practice 2 Solve. y+52y24=y+73+1 Problem 3SP: Skill Practice 3 To rent a storage unit, a customer must pay a fixed deposit of $150 plus $52.50 in... Problem 4SP: Skill Practice 4
Identify each equation as a conditional equation, a contradiction, or an identity.... Problem 5SP: Skill Practice 5
Solve the equation and check the solution.
Problem 6SP: Skill Practice 6 Solve the equation and check the solution. yy+5=5y+5+54 Problem 7SP: Skill Practice 7 Solve the equation. 11x2+5x+43x+4=1x+1 Problem 8SP: Skill Practice 8
Solve for the indicated variable.
a.
b.
c.
Problem 9SP: Skill Practice 9 Solve the equation for x. 3xw=ax+z Problem 1PE: 1. An equation that can be written in the form, where a and b are real numbers and, is called a... Problem 2PE: A linear equation is also called a _________-degree equation because the degree of the variable is... Problem 3PE: A __________ to an equation is the value of the variable that makes the equation a true statement. Problem 4PE: A _________equation is one that is true for some values of the variable and false for others. Problem 5PE: 5. An_________ is an equation that is true for all values of the variable for which the expressions... Problem 6PE: A ___________ is an equation that is false for all values of the variable. Problem 7PE: 7. A ___________equation is an equation in which each term contains a rational expression.
Problem 8PE: 8. If an equation has no solution, then the solution set is the ________set and is denoted by... Problem 9PE: For Exercises 910, determine if the equation is linear or nonlinear. If the equation is linear, find... Problem 10PE: For Exercises 9–10, determine if the equation is linear or nonlinear. If the equation is linear,... Problem 11PE: For Exercises 1130, solve the equation. (See Examples 12) 6x4=20 Problem 12PE: For Exercises 1130, solve the equation. (See Examples 12) 8y+6=22 Problem 13PE: For Exercises 1130, solve the equation. (See Examples 12) 4=73(4t+1) Problem 14PE: For Exercises 1130, solve the equation. (See Examples 12) 11=72(5p2) Problem 15PE: For Exercises 11–30, solve the equation. (See Examples 1–2)
15.
Problem 16PE: For Exercises 1130, solve the equation. (See Examples 12) 5(u4)+2=11(u3) Problem 17PE: For Exercises 1130, solve the equation. (See Examples 12) 2.3=4.5x+30.2 Problem 18PE: For Exercises 1130, solve the equation. (See Examples 12) 9.4=3.5p0.4 Problem 19PE: For Exercises 1130, solve the equation. (See Examples 12) 0.05y+0.02(6000y)=270 Problem 20PE: For Exercises 1130, solve the equation. (See Examples 12) 0.06x+0.04(10,000x)=520 Problem 21PE: For Exercises 11–30, solve the equation. (See Examples 1–2)
21.
Problem 22PE: For Exercises 1130, solve the equation. (See Examples 12) 4(y3)=3[y+2(y2)] Problem 23PE: For Exercises 1130, solve the equation. (See Examples 12) 14x32=2 Problem 24PE: For Exercises 1130, solve the equation. (See Examples 12) 16x52=1 Problem 25PE: For Exercises 11–30, solve the equation. (See Examples 1–2)
25.
Problem 26PE: For Exercises 1130, solve the equation. (See Examples 12) 25p310=715p1 Problem 27PE: For Exercises 1130, solve the equation. (See Examples 12) y15+y4=y+32+1 Problem 28PE: For Exercises 11–30, solve the equation. (See Examples 1–2)
28.
Problem 29PE: For Exercises 11–30, solve the equation. (See Examples 1–2)
29.
Problem 30PE: For Exercises 1130, solve the equation. (See Examples 12) t23t+75=t410+2 Problem 31PE: In the mid-nineteenth century, explorers used the boiling point of water to estimate altitude. The... Problem 32PE: For a recent year, the cost C(in$) for tuition and fees for x credit-hours at a public college was... Problem 33PE: 33. The annual per capita spending for prescription drugs can be modeled by, where t is the number... Problem 34PE Problem 35PE: A motorist drives on State Road 417 to and from work each day and pays $3.50 in tolls one-way. a.... Problem 36PE: A subway ride is $2.25 per ride. a. Write a model for the cost C (in $) for x rides on the subway.... Problem 37PE: 37. Helene considers two jobs. One pays $45,000/yr with an anticipated yearly raise of $2250. A... Problem 38PE: Tasha considers two sales jobs for different pharmaceutical companies. One pays a base salary of... Problem 39PE: For Exercises 3944, identify the equation as a conditional equation, a contradiction, or an... Problem 40PE: For Exercises 3944, identify the equation as a conditional equation, a contradiction, or an... Problem 41PE: For Exercises 3944, identify the equation as a conditional equation, a contradiction, or an... Problem 42PE: For Exercises 3944, identify the equation as a conditional equation, a contradiction, or an... Problem 43PE: For Exercises 39–44, identify the equation as a conditional equation, a contradiction, or an... Problem 44PE: For Exercises 3944, identify the equation as a conditional equation, a contradiction, or an... Problem 45PE: For Exercises 4548, determine the restrictions on x. 3x52x+4=57 Problem 46PE: For Exercises 4548, determine the restrictions on x. 2x+15x7=23 Problem 47PE: For Exercises 45–48, determine the restrictions on x.
47.
Problem 48PE: For Exercises 45–48, determine the restrictions on x.
48.
Problem 49PE: For Exercises 4966, solve the equation. (See Examples 57) 1272y=5y Problem 50PE: For Exercises 49–66, solve the equation. (See Examples 5–7)
50.
Problem 51PE: For Exercises 4966, solve the equation. (See Examples 57) w+34w+1=w5w Problem 52PE: For Exercises 4966, solve the equation. (See Examples 57) x+26x+1=x7x Problem 53PE: For Exercises 4966, solve the equation. (See Examples 57) cc3=3c334 Problem 54PE: For Exercises 4966, solve the equation. (See Examples 57) 7d778=dd7 Problem 55PE: For Exercises 49–66, solve the equation. (See Examples 5–7)
55.
Problem 56PE: For Exercises 49–66, solve the equation. (See Examples 5–7)
56.
Problem 57PE: For Exercises 4966, solve the equation. (See Examples 57) 2x51x+5=11x225 Problem 58PE: For Exercises 4966, solve the equation. (See Examples 57) 2c+31c3=10c29 Problem 59PE: For Exercises 4966, solve the equation. (See Examples 57) 14x2x121x4=4x+3 Problem 60PE: For Exercises 49–66, solve the equation. (See Examples 5–7)
60.
Problem 61PE: For Exercises 4966, solve the equation. (See Examples 57) 5x2x22x24=4x2+3x+2 Problem 62PE: For Exercises 4966, solve the equation. (See Examples 57) 4x22x81x216=2x2+6x+8 Problem 63PE: For Exercises 4966, solve the equation. (See Examples 57) 5m2=3mm2+2m82m+4 Problem 64PE: For Exercises 4966, solve the equation. (See Examples 57) 10n6=15nn22n246n+4 Problem 65PE: For Exercises 4966, solve the equation. (See Examples 57) 5x3x25x213x+1=32x Problem 66PE: For Exercises 49–66, solve the equation. (See Examples 5–7)
66.
Problem 67PE: For Exercises 6788, solve for the specified variable. (See Examples 89) A=lwforl Problem 68PE: For Exercises 67–88, solve for the specified variable. (See Examples 8–9)
68.
Problem 69PE: For Exercises 67–88, solve for the specified variable. (See Examples 8–9)
69.
Problem 70PE: For Exercises 6788, solve for the specified variable. (See Examples 89) w=KTforK Problem 71PE: For Exercises 67–88, solve for the specified variable. (See Examples 8–9)
71.
Problem 72PE: For Exercises 67–88, solve for the specified variable. (See Examples 8–9)
72.
Problem 73PE: For Exercises 6788, solve for the specified variable. (See Examples 89) 7x+2y=8fory Problem 74PE: For Exercises 67–88, solve for the specified variable. (See Examples 8–9)
74.
Problem 75PE: For Exercises 6788, solve for the specified variable. (See Examples 89) 5x4y=2fory Problem 76PE: For Exercises 67–88, solve for the specified variable. (See Examples 8–9)
76.
Problem 77PE: For Exercises 67–88, solve for the specified variable. (See Examples 8–9)
77.
Problem 78PE: For Exercises 6788, solve for the specified variable. (See Examples 89) 14x23y=2fory Problem 79PE: For Exercises 67–88, solve for the specified variable. (See Examples 8–9)
79.
Problem 80PE: For Exercises 6788, solve for the specified variable. (See Examples 89) S=n2[2a+(n1)d]fora Problem 81PE: For Exercises 67–88, solve for the specified variable. (See Examples 8–9)
81.
Problem 82PE: For Exercises 6788, solve for the specified variable. (See Examples 89) V=13BhforB Problem 83PE: For Exercises 67–88, solve for the specified variable. (See Examples 8–9)
83.
Problem 84PE: For Exercises 67–88, solve for the specified variable. (See Examples 8–9)
84.
Problem 85PE: For Exercises 6788, solve for the specified variable. (See Examples 89) 6x+ay=bx+5forx Problem 86PE: For Exercises 6788, solve for the specified variable. (See Examples 89) 3x+2y=cx+dforx Problem 87PE: For Exercises 6788, solve for the specified variable. (See Examples 89) A=P+PrtforP Problem 88PE: For Exercises 6788, solve for the specified variable. (See Examples 89) C=A+ArforA Problem 89PE: For Exercises 89–102, solve the equation.
89.
Problem 90PE: For Exercises 89102, solve the equation. 45z3=24z+7 Problem 91PE: For Exercises 89102, solve the equation. 52{3[5v+3(v7)]}=8v+6(34v)61 Problem 92PE: For Exercises 89102, solve the equation. 6{42[8u2(u3)]}=4u+3(2u)+8 Problem 93PE: For Exercises 89–102, solve the equation.
93.
Problem 94PE: For Exercises 89102, solve the equation. (m+3)(2m5)=2m2+4m3 Problem 95PE: For Exercises 89102, solve the equation. 3c24c92c2+3c=22c25c12 Problem 96PE: For Exercises 89102, solve the equation. 4d2d52d2+5d=22d2+3d5 Problem 97PE: For Exercises 89–102, solve the equation.
97.
Problem 98PE: For Exercises 89102, solve the equation. 12x+25=25(x+1)+110x Problem 99PE: For Exercises 89102, solve the equation. (t+2)2=(t4)2 Problem 100PE: For Exercises 89102, solve the equation. (y3)2=(y+1)2 Problem 101PE: For Exercises 89102, solve the equation. 33a+4=55a1 Problem 102PE: For Exercises 89102, solve the equation. 88x3=22x+5 Problem 103PE: Suppose that 40 deer are introduced in a protected wilderness area. The population of the herd P can... Problem 104PE Problem 105PE Problem 106PE Problem 107PE Problem 108PE Problem 109PE Problem 110PE Problem 111PE: Explain why the equation x+1=x+2 has no solution. Problem 112PE: 112. Explain the difference in the process to clear fractions between the two equations.
Problem 113PE Problem 114PE Problem 115PE Problem 116PE: For Exercises 113116, find the value of a so that the equation has the given solution set.... format_list_bulleted
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