Exam 3: Linear Equations, Graphs, and Functions

Solve the problem. -In 1980 , there were 138,000 farms in a state. As of 2005 , there were 78,000 . Find the average rate of change in the number of farms per year.

(Multiple Choice)

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Question 41

The point with coordinates $(0,0)$ is called the

(Short Answer)

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Question 42

Find the slope of the line. -

(Multiple Choice)

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Question 43

Graph the linear inequality in two variables. - $y<-3$

(Multiple Choice)

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Question 44

Evaluate the function. -Find $f(7)$

(Multiple Choice)

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Question 45

Graph the compound inequality. - $2 x+2 y>1$ or $3 x+4 y>2$

(Multiple Choice)

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Question 46

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question -Write an ordered pair $(x, y)$ that gives approximately the sales in June 2006.

(Multiple Choice)

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Question 47

Find the slope of the line and sketch the graph. - $2 x-3 y=-20$

(Multiple Choice)

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Question 48

Determine whether the relation defines $y$ as a function of $x$ . Give the domain. - $y^{2}=7 x$

(Multiple Choice)

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Question 49

Solve the problem -Let $x$ represent the number of gallons of gas sold at $\$ 2.10$ per gallon, and let $y$ represent the total cost of the gasoline (in dollars). Write an equation for this situation. Then give the ordered pair with an $x$ -value of 18 associated with this equation.

(Multiple Choice)

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Question 50

Decide whether the pair of lines is parallel, perpendicular, or neither. - $y=7$ and $7-y=-4$

(Multiple Choice)

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Question 51

Tell whether the points are the vertices of a parallelogram (that is not a rectangle), a rectangle, or neither. - $(-10,-4),(-1,-18),(13,-9),(4,5)$

(Multiple Choice)

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Question 52

Find the slope. - $\mathrm{m}=\frac{5-(-9)}{9-(-4)}$

(Multiple Choice)

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Question 53

Name the quadrant, if any, in which the point is located. - $(10,-13)$

(Multiple Choice)

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Question 54

Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form. -Through $(-2,-4)$ and $(-9,4)$

(Multiple Choice)

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Question 55

Find the equation in slope-intercept form of the line satisfying the conditions. -Slope 1 ; $y$ -intercept $(0,-6)$

(Multiple Choice)

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Question 56

Complete the table for the equation. - $x-4 y=-16$

(Multiple Choice)

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Question 57

Solve the problem. -Find $f\left(\frac{1}{2}\right)$ if $f(x)=4 x^{2}-2 x+9$ .

(Multiple Choice)

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Question 58

Find the $x$ - and $y$ -intercepts. Then graph the equation. - $10y - 2 x= -4$

(Multiple Choice)

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Question 59

Find the $x$ - and $y$ -intercepts, and graph the equation. - $y=3$

(Multiple Choice)

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Question 60

Solve the problem. -In 1980 , there were 138,000 farms in a state. As of 2005 , there were 78,000 . Find the average rate of change in the number of farms per year.

The point with coordinates $(0,0)$ is called the

Find the slope of the line. -

Graph the linear inequality in two variables. - $y<-3$

Evaluate the function. -Find $f(7)$

Graph the compound inequality. - $2 x+2 y>1$ or $3 x+4 y>2$

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question -Write an ordered pair $(x, y)$ that gives approximately the sales in June 2006.

Find the slope of the line and sketch the graph. - $2 x-3 y=-20$

Determine whether the relation defines $y$ as a function of $x$ . Give the domain. - $y^{2}=7 x$

Solve the problem -Let $x$ represent the number of gallons of gas sold at $\$ 2.10$ per gallon, and let $y$ represent the total cost of the gasoline (in dollars). Write an equation for this situation. Then give the ordered pair with an $x$ -value of 18 associated with this equation.

Decide whether the pair of lines is parallel, perpendicular, or neither. - $y=7$ and $7-y=-4$

Tell whether the points are the vertices of a parallelogram (that is not a rectangle), a rectangle, or neither. - $(-10,-4),(-1,-18),(13,-9),(4,5)$

Find the slope. - $\mathrm{m}=\frac{5-(-9)}{9-(-4)}$

Name the quadrant, if any, in which the point is located. - $(10,-13)$

Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form. -Through $(-2,-4)$ and $(-9,4)$

Find the equation in slope-intercept form of the line satisfying the conditions. -Slope 1 ; $y$ -intercept $(0,-6)$

Complete the table for the equation. - $x-4 y=-16$

Solve the problem. -Find $f\left(\frac{1}{2}\right)$ if $f(x)=4 x^{2}-2 x+9$ .

Find the $x$ - and $y$ -intercepts. Then graph the equation. - $10y - 2 x= -4$

Find the $x$ - and $y$ -intercepts, and graph the equation. - $y=3$

Review of the Real Number System

Linear Equations, Inequalities, and Applications

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Exam 3: Linear Equations, Graphs, and Functions

Solve the problem. -In 1980 , there were 138,000 farms in a state. As of 2005 , there were 78,000 . Find the average rate of change in the number of farms per year.

The point with coordinates (0,0)(0,0)(0,0) is called the

Find the slope of the line. -

Graph the linear inequality in two variables. - y<−3y<-3y<−3

Evaluate the function. -Find f(7)f(7)f(7)

Graph the compound inequality. - 2x+2y>12 x+2 y>12x+2y>1 or 3x+4y>23 x+4 y>23x+4y>2

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question -Write an ordered pair (x,y)(x, y)(x,y) that gives approximately the sales in June 2006.

Find the slope of the line and sketch the graph. - 2x−3y=−202 x-3 y=-202x−3y=−20

Determine whether the relation defines yyy as a function of xxx . Give the domain. - y2=7xy^{2}=7 xy2=7x

Solve the problem -Let xxx represent the number of gallons of gas sold at $2.10\$ 2.10$2.10 per gallon, and let yyy represent the total cost of the gasoline (in dollars). Write an equation for this situation. Then give the ordered pair with an xxx -value of 18 associated with this equation.

Decide whether the pair of lines is parallel, perpendicular, or neither. - y=7y=7y=7 and 7−y=−47-y=-47−y=−4

Tell whether the points are the vertices of a parallelogram (that is not a rectangle), a rectangle, or neither. - (−10,−4),(−1,−18),(13,−9),(4,5)(-10,-4),(-1,-18),(13,-9),(4,5)(−10,−4),(−1,−18),(13,−9),(4,5)

Find the slope. - m=5−(−9)9−(−4)\mathrm{m}=\frac{5-(-9)}{9-(-4)}m=9−(−4)5−(−9)​

Name the quadrant, if any, in which the point is located. - (10,−13)(10,-13)(10,−13)

Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form. -Through (−2,−4)(-2,-4)(−2,−4) and (−9,4)(-9,4)(−9,4)

Find the equation in slope-intercept form of the line satisfying the conditions. -Slope 1 ; yyy -intercept (0,−6)(0,-6)(0,−6)

Complete the table for the equation. - x−4y=−16x-4 y=-16x−4y=−16

Solve the problem. -Find f(12)f\left(\frac{1}{2}\right)f(21​) if f(x)=4x2−2x+9f(x)=4 x^{2}-2 x+9f(x)=4x2−2x+9 .

Find the xxx - and yyy -intercepts. Then graph the equation. - 10y−2x=−410y - 2 x= -410y−2x=−4

Find the xxx - and yyy -intercepts, and graph the equation. - y=3y=3y=3

Review of the Real Number System

Linear Equations, Inequalities, and Applications

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

The point with coordinates $(0,0)$ is called the

Graph the linear inequality in two variables. - $y<-3$

Evaluate the function. -Find $f(7)$

Graph the compound inequality. - $2 x+2 y>1$ or $3 x+4 y>2$

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question -Write an ordered pair $(x, y)$ that gives approximately the sales in June 2006.

Find the slope of the line and sketch the graph. - $2 x-3 y=-20$

Determine whether the relation defines $y$ as a function of $x$ . Give the domain. - $y^{2}=7 x$

Solve the problem -Let $x$ represent the number of gallons of gas sold at $\$ 2.10$ per gallon, and let $y$ represent the total cost of the gasoline (in dollars). Write an equation for this situation. Then give the ordered pair with an $x$ -value of 18 associated with this equation.

Decide whether the pair of lines is parallel, perpendicular, or neither. - $y=7$ and $7-y=-4$

Tell whether the points are the vertices of a parallelogram (that is not a rectangle), a rectangle, or neither. - $(-10,-4),(-1,-18),(13,-9),(4,5)$

Find the slope. - $\mathrm{m}=\frac{5-(-9)}{9-(-4)}$

Name the quadrant, if any, in which the point is located. - $(10,-13)$

Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form. -Through $(-2,-4)$ and $(-9,4)$

Find the equation in slope-intercept form of the line satisfying the conditions. -Slope 1 ; $y$ -intercept $(0,-6)$

Complete the table for the equation. - $x-4 y=-16$

Solve the problem. -Find $f\left(\frac{1}{2}\right)$ if $f(x)=4 x^{2}-2 x+9$ .

Find the $x$ - and $y$ -intercepts. Then graph the equation. - $10y - 2 x= -4$

Find the $x$ - and $y$ -intercepts, and graph the equation. - $y=3$