Exam 8: Solving Equations and Inequalities

Solve the problem. -In order for a chemical reaction to take place, the Fahrenheit temperature of the reagents must be at least $133.09^{\circ} \mathrm{F}$ . Find the Celsius temperatures at which the reaction may occur. $\left(\mathrm{F}=\frac{9}{5} \mathrm{C}+32\right)$

(Multiple Choice)

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Question 201

Solve the problem. -A rectangular Persian carpet has a perimeter of 184 inches. The length of the carpet is 24 inches more than the width. What are the dimensions of the carpet?

(Multiple Choice)

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Question 202

Provide an appropriate response. -The solution for the equation $3(6 s-9)=18 \mathrm{~s}-27$ is given as 0 . Is this correct? Explain.

(True/False)

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Question 203

Solve using the addition principle. Graph and write set-builder notation for the answer. - $x+\frac{1}{7}>\frac{4}{7}$ $Solve using the addition principle. Graph and write set-builder notation for the answer. - x+\frac{1}{7}>\frac{4}{7}$

(Multiple Choice)

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Question 204

Solve the problem. -The parking lot at a grocery store has 96 cars in it. $75 \%$ of the cars are blue. How many cars are blue?

(Multiple Choice)

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Question 205

Translate the sentence to an inequality. -Five added to half of a number is at most six.

(Multiple Choice)

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Question 206

Solve. - $4 x-2+7 x-7=6 x+5 x+9$

(Multiple Choice)

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Question 207

Solve the problem. -If Gloria received a 6 percent raise and is now making $\$ 24,380$ a year, what was her salary before the raise? Round to the nearest dollar if necessary.

(Multiple Choice)

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Question 208

Solve the equation using the addition principle. - $\mathrm{k}+\frac{1}{3}=\frac{7}{12}$

(Multiple Choice)

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Question 209

Solve using the multiplication principle. - $-\frac{3}{8} x=28.41$

(Multiple Choice)

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Question 210

Solve the problem. Round to the nearest tenth of a percent. -What percent of 101 is 16.8 ?

(Multiple Choice)

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Question 211

Solve the problem. Round to the nearest tenth of a percent. -What percent of 3121 is 17 ?

(Multiple Choice)

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Question 212

Solve the problem. -A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 48 marbles in it. At least how many green marbles does it have?

(Multiple Choice)

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Question 213

Decide if the given number is a solution to the given equation. - $p+3=15 ; 12$

(True/False)

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Question 214

Decide if the given number is a solution to the given equation. - $\mathrm{p}-10=1 ; 11$

(True/False)

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Question 215

Solve the problem. -Jon has 1027 points in his math class. He must have $85 \%$ of the 1400 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class?

(Multiple Choice)

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Question 216

Solve. - $x=\frac{w+y+z}{3}$ for $y$

(Multiple Choice)

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Question 217

Solve the equation using the addition principle. - $x-\frac{3}{4}=-\frac{1}{4}$

(Multiple Choice)

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Question 218

Solve the problem. -If the formula $R=-0.037 t+50.1$ can be used to predict the world record in the 400 -meter dash $\mathrm{t}$ years after 1925, for what years will the world records be 48.1 seconds or less?

(Multiple Choice)

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Question 219

Solve. Clear decimals first. - $12.11 y-72.66+5.19 y=8.65 y-51.9+31.14$

(Multiple Choice)

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Question 220

Solve the problem. -In order for a chemical reaction to take place, the Fahrenheit temperature of the reagents must be at least $133.09^{\circ} \mathrm{F}$ . Find the Celsius temperatures at which the reaction may occur. $\left(\mathrm{F}=\frac{9}{5} \mathrm{C}+32\right)$

Solve the problem. -A rectangular Persian carpet has a perimeter of 184 inches. The length of the carpet is 24 inches more than the width. What are the dimensions of the carpet?

Provide an appropriate response. -The solution for the equation $3(6 s-9)=18 \mathrm{~s}-27$ is given as 0 . Is this correct? Explain.

Solve using the addition principle. Graph and write set-builder notation for the answer. - $x+\frac{1}{7}>\frac{4}{7}$ $Solve using the addition principle. Graph and write set-builder notation for the answer. - x+\frac{1}{7}>\frac{4}{7}$

Solve the problem. -The parking lot at a grocery store has 96 cars in it. $75 \%$ of the cars are blue. How many cars are blue?

Translate the sentence to an inequality. -Five added to half of a number is at most six.

Solve. - $4 x-2+7 x-7=6 x+5 x+9$

Solve the problem. -If Gloria received a 6 percent raise and is now making $\$ 24,380$ a year, what was her salary before the raise? Round to the nearest dollar if necessary.

Solve the equation using the addition principle. - $\mathrm{k}+\frac{1}{3}=\frac{7}{12}$

Solve using the multiplication principle. - $-\frac{3}{8} x=28.41$

Solve the problem. Round to the nearest tenth of a percent. -What percent of 101 is 16.8 ?

Solve the problem. Round to the nearest tenth of a percent. -What percent of 3121 is 17 ?

Solve the problem. -A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 48 marbles in it. At least how many green marbles does it have?

Decide if the given number is a solution to the given equation. - $p+3=15 ; 12$

Decide if the given number is a solution to the given equation. - $\mathrm{p}-10=1 ; 11$

Solve the problem. -Jon has 1027 points in his math class. He must have $85 \%$ of the 1400 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class?

Solve. - $x=\frac{w+y+z}{3}$ for $y$

Solve the equation using the addition principle. - $x-\frac{3}{4}=-\frac{1}{4}$

Solve the problem. -If the formula $R=-0.037 t+50.1$ can be used to predict the world record in the 400 -meter dash $\mathrm{t}$ years after 1925, for what years will the world records be 48.1 seconds or less?

Solve. Clear decimals first. - $12.11 y-72.66+5.19 y=8.65 y-51.9+31.14$

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

Exam 8: Solving Equations and Inequalities

Solve the problem. -A rectangular Persian carpet has a perimeter of 184 inches. The length of the carpet is 24 inches more than the width. What are the dimensions of the carpet?

Provide an appropriate response. -The solution for the equation 3(6s−9)=18 s−273(6 s-9)=18 \mathrm{~s}-273(6s−9)=18 s−27 is given as 0 . Is this correct? Explain.

Solve using the addition principle. Graph and write set-builder notation for the answer. - x+17>47x+\frac{1}{7}>\frac{4}{7}x+71​>74​

Solve the problem. -The parking lot at a grocery store has 96 cars in it. 75%75 \%75% of the cars are blue. How many cars are blue?

Translate the sentence to an inequality. -Five added to half of a number is at most six.

Solve. - 4x−2+7x−7=6x+5x+94 x-2+7 x-7=6 x+5 x+94x−2+7x−7=6x+5x+9

Solve the problem. -If Gloria received a 6 percent raise and is now making $24,380\$ 24,380$24,380 a year, what was her salary before the raise? Round to the nearest dollar if necessary.

Solve the equation using the addition principle. - k+13=712\mathrm{k}+\frac{1}{3}=\frac{7}{12}k+31​=127​

Solve using the multiplication principle. - −38x=28.41-\frac{3}{8} x=28.41−83​x=28.41

Solve the problem. Round to the nearest tenth of a percent. -What percent of 101 is 16.8 ?

Solve the problem. Round to the nearest tenth of a percent. -What percent of 3121 is 17 ?

Solve the problem. -A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 48 marbles in it. At least how many green marbles does it have?

Decide if the given number is a solution to the given equation. - p+3=15;12p+3=15 ; 12p+3=15;12

Decide if the given number is a solution to the given equation. - p−10=1;11\mathrm{p}-10=1 ; 11p−10=1;11

Solve the problem. -Jon has 1027 points in his math class. He must have 85%85 \%85% of the 1400 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class?

Solve. - x=w+y+z3x=\frac{w+y+z}{3}x=3w+y+z​ for yyy

Solve the equation using the addition principle. - x−34=−14x-\frac{3}{4}=-\frac{1}{4}x−43​=−41​

Solve the problem. -If the formula R=−0.037t+50.1R=-0.037 t+50.1R=−0.037t+50.1 can be used to predict the world record in the 400 -meter dash t\mathrm{t}t years after 1925, for what years will the world records be 48.1 seconds or less?

Solve. Clear decimals first. - 12.11y−72.66+5.19y=8.65y−51.9+31.1412.11 y-72.66+5.19 y=8.65 y-51.9+31.1412.11y−72.66+5.19y=8.65y−51.9+31.14

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

Provide an appropriate response. -The solution for the equation $3(6 s-9)=18 \mathrm{~s}-27$ is given as 0 . Is this correct? Explain.

Solve using the addition principle. Graph and write set-builder notation for the answer. - $x+\frac{1}{7}>\frac{4}{7}$ $Solve using the addition principle. Graph and write set-builder notation for the answer. - x+\frac{1}{7}>\frac{4}{7}$

Solve the problem. -The parking lot at a grocery store has 96 cars in it. $75 \%$ of the cars are blue. How many cars are blue?

Solve. - $4 x-2+7 x-7=6 x+5 x+9$

Solve the problem. -If Gloria received a 6 percent raise and is now making $\$ 24,380$ a year, what was her salary before the raise? Round to the nearest dollar if necessary.

Solve the equation using the addition principle. - $\mathrm{k}+\frac{1}{3}=\frac{7}{12}$

Solve using the multiplication principle. - $-\frac{3}{8} x=28.41$

Decide if the given number is a solution to the given equation. - $p+3=15 ; 12$

Decide if the given number is a solution to the given equation. - $\mathrm{p}-10=1 ; 11$

Solve the problem. -Jon has 1027 points in his math class. He must have $85 \%$ of the 1400 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class?

Solve. - $x=\frac{w+y+z}{3}$ for $y$

Solve the equation using the addition principle. - $x-\frac{3}{4}=-\frac{1}{4}$

Solve the problem. -If the formula $R=-0.037 t+50.1$ can be used to predict the world record in the 400 -meter dash $\mathrm{t}$ years after 1925, for what years will the world records be 48.1 seconds or less?

Solve. Clear decimals first. - $12.11 y-72.66+5.19 y=8.65 y-51.9+31.14$