Question 1

Solve   by factoring.

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Question 2

Solve   by factoring.

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Question 3

Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is,   where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied.  
Sketch a scatter plot of the data.

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Question 4

Determine any point(s) of intersection between the following equations.

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Question 5

The scatter plots of different data are shown below. Determine whether there is a positive correlation, negative correlation, or no discernible correlation between the variables.

Accepted Answer

A)  negative correlation 
B)  no discernible correlation 
C)  positive correlation 
A)  negative correlation 
B)  no discernible correlation 
C)  positive correlation

Question 6

Given the following equation, set   and solve the resulting equation.

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Question 7

Find all solutions of   .

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Question 8

Solve the following equation.

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Question 9

Find all solutions of   .

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Question 10

Simplify   and write the answer in standard form.

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Question 11

Solve the following equation.

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Question 12

Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is,   where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied.  
Find the equation of the line that seems to best fit the data. Use the model to estimate the elongation of the spring when a force of 35 kilograms is applied. Round your answer to one decimal place.

Accepted Answer

A)  2.9 centimeters 
B)  8.7 centimeters 
C)  4.4 centimeters 
D)  5.8 centimeters 
E)  11.6 centimeters 
A)  2.9 centimeters 
B)  8.7 centimeters 
C)  4.4 centimeters 
D)  5.8 centimeters 
E)  11.6 centimeters

Question 13

Simplify   and write the answer in standard form.

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Question 14

Solve:

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Question 15

Solve   using the quadratic formula.

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Question 16

Solve for x, rounding your answer to the nearest thousandth.

Accepted Answer

A)  -0.494 
B)  -0.033 
C)  5.491 
D)  -0.365 
E)  6.009 
A)  -0.494 
B)  -0.033 
C)  5.491 
D)  -0.365 
E)  6.009

Question 17

Find all solutions of   .

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Question 18

Simplify   and write the answer in standard form.

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Question 19

Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is,   where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied.  
Find the equation of the line that seems to best fit the data. Use the model to estimate the elongation of the spring when a force of 70 kilograms is applied. Round your answer to one decimal place.

Accepted Answer

A)  2.3 centimeters 
B)  4.6 centimeters 
C)  6.9 centimeters 
D)  9.2 centimeters 
E)  3.5 centimeters 
A)  2.3 centimeters 
B)  4.6 centimeters 
C)  6.9 centimeters 
D)  9.2 centimeters 
E)  3.5 centimeters

Question 20

Find two quadratic equations having the following solutions.

Accepted Answer

A)    ;   
B)    ;   
C)    ;   
D)    ;   
E)    ;   
A)    ;   
B)    ;   
C)    ;   
D)    ;   
E)    ;

Solve by factoring.

Solve by factoring.

Determine any point(s) of intersection between the following equations.

The scatter plots of different data are shown below. Determine whether there is a positive correlation, negative correlation, or no discernible correlation between the variables.

Given the following equation, set and solve the resulting equation.

Find all solutions of .

Solve the following equation.

Find all solutions of .

Simplify and write the answer in standard form.

Solve the following equation.

Simplify and write the answer in standard form.

Solve:

Solve using the quadratic formula.

Solve for x, rounding your answer to the nearest thousandth.

Find all solutions of .

Simplify and write the answer in standard form.

Find two quadratic equations having the following solutions.

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Prerequisites

Filters

Exam 2: Solving Equations and Inequalities

Solve by factoring.

Solve by factoring.

Determine any point(s) of intersection between the following equations.

The scatter plots of different data are shown below. Determine whether there is a positive correlation, negative correlation, or no discernible correlation between the variables.

Given the following equation, set and solve the resulting equation.

Find all solutions of .

Solve the following equation.

Find all solutions of .

Simplify and write the answer in standard form.

Solve the following equation.

Simplify and write the answer in standard form.

Solve:

Solve using the quadratic formula.

Solve for x, rounding your answer to the nearest thousandth.

Find all solutions of .

Simplify and write the answer in standard form.

Find two quadratic equations having the following solutions.

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Prerequisites

Filters