Other Types of Equations; Linear Inequalities and Absolute Value Inequalities; Basics of Functions and Their Graphs; Linear Functions and Slope and More on Slope

Other Types of Equations; Linear Inequalities and Absolute Value Inequalities;...

Quiz - Review for Exam 2

Other Types of Equations; Linear Inequalities and Absolute Value Inequalities; Basics of Functions and Their Graphs; Linear Functions and Slope and More on Slope.

1. Solve the polynomial equation by factoring and then using the​ zero-product principle.

2. Solve the radical equation. Check all proposed solutions.

3. Solve the radical equation. Check all proposed solutions.

4. Solve the radical equation. Check all proposed solutions.

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5. Solve the equation by making an appropriate substitution.

6. Solve the absolute value equation or indicate that the equation has no solution.

7. Other than empty set ∅, use interval notation to express the solution set and graph each solution set on a number line.

8. Solve the compound inequality.

9. Solve the absolute value inequality

10. Evaluate the function at the given values of the independent variable and simplify.

a. f(7)

b. f(x+3)

c. f()

11. Use the graph to determine the following.

a. the​ function's domain

b. the​ function's range

c. the​ x-intercepts, if any

d. the​ y-intercept , if any

e. the function value indicated below

f(−2)

12. Evaluate the piecewise function at the given values of the independent variable.

a. g(0)

b. g(-7)

c. g(2)

13. Use the given conditions to write an equation for the line in​ point-slope form and​ slope-intercept form.

Slope =−2, passing through (−5,−9)

14. Use the given conditions to write an equation for the line in​ point-slope form and​ slope-intercept form.

Passing through (−2, −2) and (2, 4)

15. Give the slope and​ y-intercept of the line whose equation is given. Then graph the linear function.

16. Graph the following equation in a rectangular coordinate system.

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17. Graph the following equation in a rectangular coordinate system.

18. Use the given conditions to write an equation for the line in ​point-slope form and in​ slope-intercept form.

Passing through (5, −7) and perpendicular to the line whose equation is

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