Exam 2: Equations, Inequalities, and Problem Solving

Solve. -Sally is making a cover for a round table. When finished, the cover will fit exactly with no excess hanging off. Sally has to cut the fabric circle with a 4 inch larger diameter than the table to allow for hemming. If the table has a diameter of 54 inches, how much fabric does Sally need? (Use $3.14$ for $\pi$ . Round to 2 decimal places.)

(Multiple Choice)

4.9/5

(32)

Question 61

Solve the equation. - $( y - 8 ) - ( y + 2 ) = 5 y$

(Multiple Choice)

4.8/5

(37)

Question 62

Solve the equation. --9n = -81

(Multiple Choice)

4.9/5

(35)

Question 63

Solve. -Seven times some number added to 4 amounts to -12 added to the product of 3 and the number.

(Multiple Choice)

4.9/5

(37)

Question 64

Graph the inequality on a number line. Then write the solution in interval notation. - $x > 5$

(Multiple Choice)

4.9/5

(38)

Question 65

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -The number of video stores in a region recently decreased from 88 to 57. Find the percent of decrease.

(Multiple Choice)

4.7/5

(44)

Question 66

Solve. -Jeff starts driving at 65 miles per hour from the same point that Lauren starts driving at 40 miles per hour. They drive in opposite directions, and Lauren has a half-hour head start. How long will they Be able to talk on their cell phones that have a 330-mile range?

(Multiple Choice)

4.9/5

(36)

Question 67

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -Due to a lack of funding, the number of students enrolled at City College went from 6000 last year to 2000 this year. Find the percent of decrease in enrollment.

(Multiple Choice)

4.7/5

(41)

Question 68

Solve the equation. - $0.09 y + 0.09 ( 500 - y ) = 0.50 y$

(Multiple Choice)

4.9/5

(39)

Question 69

Solve the formula for the specified variable. - $\mathrm { A } = \mathrm { P } + \mathrm { PRT }$ for $\mathrm { T }$

(Multiple Choice)

4.8/5

(40)

Question 70

Solve the equation. - $4 ( y + 2 ) = 5 ( y - 6 )$

(Multiple Choice)

4.9/5

(43)

Question 71

Solve the equation. - $\frac { 11 } { 14 } x + \frac { 1 } { 7 } = \frac { 5 } { 7 } x$

(Multiple Choice)

4.9/5

(30)

Question 72

Indicate whether the list of terms are like or unlike. - $- 11 x y , 12 x ^ { 2 } y$

(Multiple Choice)

4.7/5

(43)

Question 73

Solve the equation. - $\frac { 5 ( 9 - x ) } { 4 } = x$

(Multiple Choice)

4.8/5

(41)

Question 74

Solve the equation. -3r + 6 = 24

(Multiple Choice)

4.8/5

(41)

Question 75

Solve the equation. - $\frac { 1 } { 2 } k = - \frac { 5 } { 2 }$

(Multiple Choice)

4.8/5

(37)

Question 76

Simplify the expression by combining any like terms. --1.1c + 4 - 3c - 2.8

(Multiple Choice)

4.8/5

(38)

Question 77

Solve. Round all amounts to one decimal place. -57 is 20% of what number?

(Multiple Choice)

4.8/5

(41)

Question 78

Solve the equation. -6x + x = 6 - 34

(Multiple Choice)

4.8/5

(36)

Question 79

Solve the formula for the specified variable. - $\mathrm { V } = \frac { 1 } { 3 } \mathrm { Ah } \quad \text { for } \mathrm { A }$

(Multiple Choice)

4.9/5

(44)

Question 80

Solve the equation. - $( y - 8 ) - ( y + 2 ) = 5 y$

Solve the equation. --9n = -81

Solve. -Seven times some number added to 4 amounts to -12 added to the product of 3 and the number.

Graph the inequality on a number line. Then write the solution in interval notation. - $x > 5$

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -The number of video stores in a region recently decreased from 88 to 57. Find the percent of decrease.

Solve. -Jeff starts driving at 65 miles per hour from the same point that Lauren starts driving at 40 miles per hour. They drive in opposite directions, and Lauren has a half-hour head start. How long will they Be able to talk on their cell phones that have a 330-mile range?

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -Due to a lack of funding, the number of students enrolled at City College went from 6000 last year to 2000 this year. Find the percent of decrease in enrollment.

Solve the equation. - $0.09 y + 0.09 ( 500 - y ) = 0.50 y$

Solve the formula for the specified variable. - $\mathrm { A } = \mathrm { P } + \mathrm { PRT }$ for $\mathrm { T }$

Solve the equation. - $4 ( y + 2 ) = 5 ( y - 6 )$

Solve the equation. - $\frac { 11 } { 14 } x + \frac { 1 } { 7 } = \frac { 5 } { 7 } x$

Indicate whether the list of terms are like or unlike. - $- 11 x y , 12 x ^ { 2 } y$

Solve the equation. - $\frac { 5 ( 9 - x ) } { 4 } = x$

Solve the equation. -3r + 6 = 24

Solve the equation. - $\frac { 1 } { 2 } k = - \frac { 5 } { 2 }$

Simplify the expression by combining any like terms. --1.1c + 4 - 3c - 2.8

Solve. Round all amounts to one decimal place. -57 is 20% of what number?

Solve the equation. -6x + x = 6 - 34

Solve the formula for the specified variable. - $\mathrm { V } = \frac { 1 } { 3 } \mathrm { Ah } \quad \text { for } \mathrm { A }$

Review of Real Numbers

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 2: Equations, Inequalities, and Problem Solving

Solve the equation. - (y−8)−(y+2)=5y( y - 8 ) - ( y + 2 ) = 5 y(y−8)−(y+2)=5y

Solve the equation. --9n = -81

Solve. -Seven times some number added to 4 amounts to -12 added to the product of 3 and the number.

Graph the inequality on a number line. Then write the solution in interval notation. - x>5x > 5x>5

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -The number of video stores in a region recently decreased from 88 to 57. Find the percent of decrease.

Solve. -Jeff starts driving at 65 miles per hour from the same point that Lauren starts driving at 40 miles per hour. They drive in opposite directions, and Lauren has a half-hour head start. How long will they Be able to talk on their cell phones that have a 330-mile range?

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -Due to a lack of funding, the number of students enrolled at City College went from 6000 last year to 2000 this year. Find the percent of decrease in enrollment.

Solve the equation. - 0.09y+0.09(500−y)=0.50y0.09 y + 0.09 ( 500 - y ) = 0.50 y0.09y+0.09(500−y)=0.50y

Solve the formula for the specified variable. - A=P+PRT\mathrm { A } = \mathrm { P } + \mathrm { PRT }A=P+PRT for T\mathrm { T }T

Solve the equation. - 4(y+2)=5(y−6)4 ( y + 2 ) = 5 ( y - 6 )4(y+2)=5(y−6)

Solve the equation. - 1114x+17=57x\frac { 11 } { 14 } x + \frac { 1 } { 7 } = \frac { 5 } { 7 } x1411​x+71​=75​x

Indicate whether the list of terms are like or unlike. - −11xy,12x2y- 11 x y , 12 x ^ { 2 } y−11xy,12x2y

Solve the equation. - 5(9−x)4=x\frac { 5 ( 9 - x ) } { 4 } = x45(9−x)​=x

Solve the equation. -3r + 6 = 24

Solve the equation. - 12k=−52\frac { 1 } { 2 } k = - \frac { 5 } { 2 }21​k=−25​

Simplify the expression by combining any like terms. --1.1c + 4 - 3c - 2.8

Solve. Round all amounts to one decimal place. -57 is 20% of what number?

Solve the equation. -6x + x = 6 - 34

Solve the formula for the specified variable. - V=13Ah for A\mathrm { V } = \frac { 1 } { 3 } \mathrm { Ah } \quad \text { for } \mathrm { A }V=31​Ah for A

Review of Real Numbers

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Solve the equation. - $( y - 8 ) - ( y + 2 ) = 5 y$

Graph the inequality on a number line. Then write the solution in interval notation. - $x > 5$

Solve the equation. - $0.09 y + 0.09 ( 500 - y ) = 0.50 y$

Solve the formula for the specified variable. - $\mathrm { A } = \mathrm { P } + \mathrm { PRT }$ for $\mathrm { T }$

Solve the equation. - $4 ( y + 2 ) = 5 ( y - 6 )$

Solve the equation. - $\frac { 11 } { 14 } x + \frac { 1 } { 7 } = \frac { 5 } { 7 } x$

Indicate whether the list of terms are like or unlike. - $- 11 x y , 12 x ^ { 2 } y$

Solve the equation. - $\frac { 5 ( 9 - x ) } { 4 } = x$

Solve the equation. - $\frac { 1 } { 2 } k = - \frac { 5 } { 2 }$

Solve the formula for the specified variable. - $\mathrm { V } = \frac { 1 } { 3 } \mathrm { Ah } \quad \text { for } \mathrm { A }$