Exam 1: Equations, Inequalities, and Applications

Solve the problem. -Center City East Parking Garage has a capacity of 253 cars more than Center City West Parking Garage. If the combined capacity for the two garages is 1219 cars, find the capacity for each garage.

(Multiple Choice)

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Question 201

Solve the linear inequality. Express the solution in set-builder notation. - $6 x + 5 \geq 1$ and $7 x - 4 < 8$

(Multiple Choice)

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Question 202

Solve the equation. - $\left| x ^ { 2 } + 13 x - 7 \right| = 7$

(Multiple Choice)

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Question 203

Solve the problem. -A rectangular carpet has a perimeter of 288 inches. The length of the carpet is 96 inches more than the width. What are the dimensions of the carpet?

(Multiple Choice)

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Question 204

Solve the problem. -ABC phone company charges $23 per month plus 3¢ per minute of phone calls. XYZ phone company charges $11 per month plus 6¢ per minute of phone calls. How many minutes of phone calls in a month make XYZ phone company the better deal?

(Multiple Choice)

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Question 205

Solve the inequality. Express your answer using interval notation. - $| 8 \mathrm { k } - 2 | \leq 7$

(Multiple Choice)

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Question 206

Write the expression in the standard form a + bi. - $\frac { 35 + 13 i } { 5 - 4 i }$

(Multiple Choice)

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Question 207

Solve the rational inequality. Express the solution in interval notation. - $\frac{x-5}{x+1}>0$

(Multiple Choice)

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Question 208

Solve the inequality. Express your answer using interval notation. - $| 2 \mathrm { k } - 8 | \geq 9$

(Multiple Choice)

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Question 209

Solve the rational inequality. Express the solution in interval notation. - $\frac { 4 x - 3 } { x + 7 } \leq 3$

(Multiple Choice)

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Question 210

Solve the problem. -The manager of a candy shop sells chocolate covered peanuts for $6 per pound and chocolate covered cashews for $12 per pound. The manager wishes to mix 80 pounds of the cashews to get a cashew-peanut mixture that will sell for $7 per pound. How many pounds of peanuts should be used?

(Multiple Choice)

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Question 211

Write the expression in the standard form a + bi. - $\frac { 2 i } { 1 - i }$

(Multiple Choice)

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Question 212

Solve the problem. -During a hurricane evacuation from the east coast of Georgia, a family traveled 250 miles west. For part of the trip, they averaged 50 mph, but as the congestion got bad, they had to slow to 30 mph. If the total time of travel was 9 hours, how many miles did they drive at the reduced speed?

(Multiple Choice)

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Question 213

Solve the equation by completing the square. - $x ^ { 2 } + 4 x - 7 = 0$

(Multiple Choice)

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Question 214

Write the expression in the standard form a + bi. - $\frac { 6 + 2 i } { 7 - 9 i }$

(Multiple Choice)

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Question 215

Write the sentence as an equation. Let the variable x represent the number. -Three times a number is equal to 20 decreased by the number.

(Multiple Choice)

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Question 216

Write the expression in the standard form a + bi. - $\frac { 2 } { 8 + i }$

(Multiple Choice)

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Question 217

Solve the inequality. Express your answer using interval notation. - $| x - 7 | + 4 \geq 6$

(Multiple Choice)

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Question 218

Solve the equation by factoring. - $3 x ^ { 2 } - 8 x = 0$

(Multiple Choice)

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Question 219

Perform the desired operation. Write the answer in the form a + bi. - $( - 4 + 8 i ) ( 4 + i )$

(Multiple Choice)

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Question 220

Solve the problem. -Center City East Parking Garage has a capacity of 253 cars more than Center City West Parking Garage. If the combined capacity for the two garages is 1219 cars, find the capacity for each garage.

Solve the linear inequality. Express the solution in set-builder notation. - $6 x + 5 \geq 1$ and $7 x - 4 < 8$

Solve the equation. - $\left| x ^ { 2 } + 13 x - 7 \right| = 7$

Solve the problem. -A rectangular carpet has a perimeter of 288 inches. The length of the carpet is 96 inches more than the width. What are the dimensions of the carpet?

Solve the problem. -ABC phone company charges $23 per month plus 3¢ per minute of phone calls. XYZ phone company charges $11 per month plus 6¢ per minute of phone calls. How many minutes of phone calls in a month make XYZ phone company the better deal?

Solve the inequality. Express your answer using interval notation. - $| 8 \mathrm { k } - 2 | \leq 7$

Write the expression in the standard form a + bi. - $\frac { 35 + 13 i } { 5 - 4 i }$

Solve the rational inequality. Express the solution in interval notation. - $\frac{x-5}{x+1}>0$

Solve the inequality. Express your answer using interval notation. - $| 2 \mathrm { k } - 8 | \geq 9$

Solve the rational inequality. Express the solution in interval notation. - $\frac { 4 x - 3 } { x + 7 } \leq 3$

Write the expression in the standard form a + bi. - $\frac { 2 i } { 1 - i }$

Solve the equation by completing the square. - $x ^ { 2 } + 4 x - 7 = 0$

Write the expression in the standard form a + bi. - $\frac { 6 + 2 i } { 7 - 9 i }$

Write the sentence as an equation. Let the variable x represent the number. -Three times a number is equal to 20 decreased by the number.

Write the expression in the standard form a + bi. - $\frac { 2 } { 8 + i }$

Solve the inequality. Express your answer using interval notation. - $| x - 7 | + 4 \geq 6$

Solve the equation by factoring. - $3 x ^ { 2 } - 8 x = 0$

Perform the desired operation. Write the answer in the form a + bi. - $( - 4 + 8 i ) ( 4 + i )$

The Rectangular Coordinate System, Lines, and Circles

Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions and Equations

Conic Sections

Systems of Equations and Inequalities

Matrices

Sequences and Series; Counting and Probability

Math Exercises: Sets, Intervals, Absolute Value, and Properties

Filters

Exam 1: Equations, Inequalities, and Applications

Solve the problem. -Center City East Parking Garage has a capacity of 253 cars more than Center City West Parking Garage. If the combined capacity for the two garages is 1219 cars, find the capacity for each garage.

Solve the linear inequality. Express the solution in set-builder notation. - 6x+5≥16 x + 5 \geq 16x+5≥1 and 7x−4<87 x - 4 < 87x−4<8

Solve the equation. - ∣x2+13x−7∣=7\left| x ^ { 2 } + 13 x - 7 \right| = 7​x2+13x−7​=7

Solve the problem. -A rectangular carpet has a perimeter of 288 inches. The length of the carpet is 96 inches more than the width. What are the dimensions of the carpet?

Solve the problem. -ABC phone company charges $23 per month plus 3¢ per minute of phone calls. XYZ phone company charges $11 per month plus 6¢ per minute of phone calls. How many minutes of phone calls in a month make XYZ phone company the better deal?

Solve the inequality. Express your answer using interval notation. - ∣8k−2∣≤7| 8 \mathrm { k } - 2 | \leq 7∣8k−2∣≤7

Write the expression in the standard form a + bi. - 35+13i5−4i\frac { 35 + 13 i } { 5 - 4 i }5−4i35+13i​

Solve the rational inequality. Express the solution in interval notation. - x−5x+1>0 \frac{x-5}{x+1}>0 x+1x−5​>0

Solve the inequality. Express your answer using interval notation. - ∣2k−8∣≥9| 2 \mathrm { k } - 8 | \geq 9∣2k−8∣≥9

Solve the rational inequality. Express the solution in interval notation. - 4x−3x+7≤3\frac { 4 x - 3 } { x + 7 } \leq 3x+74x−3​≤3

Write the expression in the standard form a + bi. - 2i1−i\frac { 2 i } { 1 - i }1−i2i​

Solve the equation by completing the square. - x2+4x−7=0x ^ { 2 } + 4 x - 7 = 0x2+4x−7=0

Write the expression in the standard form a + bi. - 6+2i7−9i\frac { 6 + 2 i } { 7 - 9 i }7−9i6+2i​

Write the sentence as an equation. Let the variable x represent the number. -Three times a number is equal to 20 decreased by the number.

Write the expression in the standard form a + bi. - 28+i\frac { 2 } { 8 + i }8+i2​

Solve the inequality. Express your answer using interval notation. - ∣x−7∣+4≥6| x - 7 | + 4 \geq 6∣x−7∣+4≥6

Solve the equation by factoring. - 3x2−8x=03 x ^ { 2 } - 8 x = 03x2−8x=0

Perform the desired operation. Write the answer in the form a + bi. - (−4+8i)(4+i)( - 4 + 8 i ) ( 4 + i )(−4+8i)(4+i)

The Rectangular Coordinate System, Lines, and Circles

Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions and Equations

Conic Sections

Systems of Equations and Inequalities

Matrices

Sequences and Series; Counting and Probability

Math Exercises: Sets, Intervals, Absolute Value, and Properties

Filters

Solve the linear inequality. Express the solution in set-builder notation. - $6 x + 5 \geq 1$ and $7 x - 4 < 8$

Solve the equation. - $\left| x ^ { 2 } + 13 x - 7 \right| = 7$

Solve the inequality. Express your answer using interval notation. - $| 8 \mathrm { k } - 2 | \leq 7$

Write the expression in the standard form a + bi. - $\frac { 35 + 13 i } { 5 - 4 i }$

Solve the rational inequality. Express the solution in interval notation. - $\frac{x-5}{x+1}>0$

Solve the inequality. Express your answer using interval notation. - $| 2 \mathrm { k } - 8 | \geq 9$

Solve the rational inequality. Express the solution in interval notation. - $\frac { 4 x - 3 } { x + 7 } \leq 3$

Write the expression in the standard form a + bi. - $\frac { 2 i } { 1 - i }$

Solve the equation by completing the square. - $x ^ { 2 } + 4 x - 7 = 0$

Write the expression in the standard form a + bi. - $\frac { 6 + 2 i } { 7 - 9 i }$

Write the expression in the standard form a + bi. - $\frac { 2 } { 8 + i }$

Solve the inequality. Express your answer using interval notation. - $| x - 7 | + 4 \geq 6$

Solve the equation by factoring. - $3 x ^ { 2 } - 8 x = 0$

Perform the desired operation. Write the answer in the form a + bi. - $( - 4 + 8 i ) ( 4 + i )$