Chapter 1

Find the zero of the function \(f\). $$ f(x)=-3 x-12 $$

Write the slope-intercept form of the line that passes through the given point with slope \(m .\) $$\text { Through }(1,3), m=-2$$

Graph each linear function. Give the (a) \(x\) -intercept, (b) \(y\) -intercept. (c) domain, (d) range, and (e) slope of the line. $$f(x)=x-4$$

Work Exercises \(1-6\) without pencil and paper. Do not use a calculator. If \(40 \mathrm{L}\) of an acid solution is \(75 \%\) acid, how much pure acid is there in the mixture?

Using interval notation, write each set. Then graph it on a number line. $$\\{x |-1 < x < 4\\}$$

For each set, list all elements that belong to the (a) natural numbers, (b) whole numbers, (c) integers. (d) rational numbers, (e) irrational numbers, and (f) real numbers. $$\left\\{-6,-\frac{12}{4},-\frac{5}{8},-\sqrt{3}, 0,0.31,0 . \overline{3}, 2 \pi, 10, \sqrt{17}\right\\}$$

Find the Zero of the function \(f\). Do not use a calculator. \(f(x)=5 x-30\)

Write the slope-intercept form of the line that passes through the given point with slope \(m .\) $$\text { Through }(2,4), m=-1$$

Graph each linear function. Give the (a) \(x\) -intercept, (b) \(y\) -intercept. (c) domain, (d) range, and (e) slope of the line. $$f(x)=-x+4$$

Work Exercises \(1-6\) without pencil and paper. Do not use a calculator. If \(y\) varies directly with \(x,\) and \(y=2\) when \(x=4,\) what is the value of \(y\) when \(x=12 ?\)

Using interval notation, write each set. Then graph it on a number line. $$\\{x | x \geq-3\\}$$

For each set, list all elements that belong to the (a) natural numbers, (b) whole numbers, (c) integers. (d) rational numbers, (e) irrational numbers, and (f) real numbers. $$\left\\{-8,-\frac{14}{7},-0.245,0, \frac{6}{2}, 8, \sqrt{81}, \sqrt{12}\right\\}$$

Find the zero of the finction \(f\). Do not use a calculator. $$f(x)=5 x$$

Write the slope-intercept form of the line that passes through the given point with slope \(m .\) $$\text { Through }(-5,4), m=1.5$$

Graph each linear function. Give the (a) \(x\) -intercept, (b) \(y\) -intercept. (c) domain, (d) range, and (e) slope of the line. $$f(x)=3 x-6$$

Work Exercises \(1-6\) without pencil and paper. Do not use a calculator. Suppose two acid solutions are mixed. One is \(26 \%\) acid and the other is \(32 \%\) acid. Which one of the following concentrations cannot possibly be the concentration of the mixture? C. \(30 \%\) B. \(28 \%\) D. \(31 \%\) A. \(36 \%\)

Using interval notation, write each set. Then graph it on a number line. $$\\{x | x<0\\}$$

For each set, list all elements that belong to the (a) natural numbers, (b) whole numbers, (c) integers. (d) rational numbers, (e) irrational numbers, and (f) real numbers. $$\left\\{-\sqrt{100},-\frac{13}{6},-1,5.23,9 . \overline{14}, 3.14, \frac{22}{7}\right\\}$$

Find the zero of the function \(f .\) Do not use a calculator. \(f(x)=-2 x\)

Write the slope-intercept form of the line that passes through the given point with slope \(m .\) $$\text { Through }(-4,3), m=0.75$$

Graph each linear function. Give the (a) \(x\) -intercept, (b) \(y\) -intercept. (c) domain, (d) range, and (e) slope of the line. $$f(x)=\frac{2}{3} x-2$$

Work Exercises \(1-6\) without pencil and paper. Do not use a calculator. Suppose that a computer that originally sold for \(x\) dollars has been discounted \(30 \% .\) Which one of the following expressions does not represent the sale price of the computer? A. \(x-0.30 x\) B. \(0.70 x\) D. \(x-0.30\) C. \(\frac{7}{10} x\)

Using interval notation, write each set. Then graph it on a number line. $$\\{x | 8 > x > 3\\}$$

For each set, list all elements that belong to the (a) natural numbers, (b) whole numbers, (c) integers. (d) rational numbers, (e) irrational numbers, and (f) real numbers. $$\\{-\sqrt{49},-0.405,-0 . \overline{3}, 0.1,3,18,6 \pi, 56\\}$$

Find the zero of the finction \(f\). Do not use a calculator. $$f(x)=2(3 x-5)+8(4 x+7)$$

Write the slope-intercept form of the line that passes through the given point with slope \(m .\) $$\text { Through }(-8,1), m=-0.5$$

Graph each linear function. Give the (a) \(x\) -intercept, (b) \(y\) -intercept. (c) domain, (d) range, and (e) slope of the line. $$f(x)=-\frac{2}{5} x+2$$

Work Exercises \(1-6\) without pencil and paper. Do not use a calculator. Consider the following problem. One number is three less than six times a second number. Their sum is \(32 .\) Find the numbers. If \(x\) represents the second number, which equation is correct for solving this problem? A. \(32-(x+3)=6 x\) B. \((3-6 x)+x=32\) C. \(32-(3-6 x)=x\) D. \((6 x-3)+x=32\)

Using interval notation, write each set. Then graph it on a number line. $$\\{x | 1 \leq x<2\\}$$

Classify each number as one or more of the following: natural number, integer, rational number, or real number. \(19,900,037,000,000\) (The federal debt in dollars at the end of January 2017 )

Find the zero of the finction \(f\). Do not use a calculator. \(f(x)=-4(2 x-3)+8(2 x+1)\)

Write the slope-intercept form of the line that passes through the given point with slope \(m .\) $$\text { Through }(-5,9), m=-0.75$$

Graph each linear function. Give the (a) \(x\) -intercept, (b) \(y\) -intercept. (c) domain, (d) range, and (e) slope of the line. $$f(x)=\frac{4}{3} x-3$$

Work Exercises \(1-6\) without pencil and paper. Do not use a calculator. Consider the following problem: The difference between six times a number and 9 is equal to five times the sum of the number and \(2 .\) Find the number. If \(x\) represents the number, which equation is correct for solving this problem? A. \(6 x-9=5(x+2)\) B. \(9-6 x=5(x+2)\) C. \(6 x-9=5 x+2\) D. \(9-6 x=5 x+2\)

Using interval notation, write each set. Then graph it on a number line. $$\\{x |-5

Classify each number as one or more of the following: natural number, integer, rational number, or real number. \(700,000,000,000\) (The federal 2008 bailout fund in dollars)

Find the zero of the finction \(f\). Do not use a calculator. $$f(x)=3 x+6(x-4)$$

Write the slope-intercept form of the line that passes through the given point with slope \(m .\) $$\text { Through }\left(\frac{1}{2},-4\right), m=2$$

Graph each linear function. Give the (a) \(x\) -intercept, (b) \(y\) -intercept. (c) domain, (d) range, and (e) slope of the line. $$f(x)=3 x$$

Solve each problem analytically, and support your solution graphically. The perimeter of a rectangle is 98 centimeters. The width is 19 centimeters. Find the length.

Using the variable \(x,\) write each interval using set-builder notation. $$(-4,3)$$

Classify each number as one or more of the following: natural number, integer, rational number, or real number. \(-24\) (The change in the number of football fields of area of land loss in Louisiana each day)

Find the zero of the function \(f\). \(f(x)=-8 x+0.5(2 x+8)\)

Write the slope-intercept form of the line that passes through the given point with slope \(m .\) $$\text { Through }\left(5,-\frac{1}{3}\right), m=3$$

Graph each linear function. Give the (a) \(x\) -intercept, (b) \(y\) -intercept. (c) domain, (d) range, and (e) slope of the line. $$f(x)=-0.5 x$$

Solve each problem analytically, and support your solution graphically. Perimeter of a Storage Shed \(\mathbf{A}\) carpenter must build a rectangular storage shed. She wants the length to be 3 feet greater than the width, and the perimeter must be 22 feet. Find the length and the width of the shed.

Using the variable \(x,\) write each interval using set-builder notation. $$[2,7)$$

Classify each number as one or more of the following: natural number, integer, rational number, or real number. \(-17\) (The annual percent change in the area of Louisiana wetlands in square miles)

Find the zero of the finction \(f\). Do not use a calculator. $$f(x)=1.5 x+2(x-3)+5.5(x+9)$$

Write the slope-intercept form of the line that passes through the given point with slope \(m .\) $$\text { Through }\left(\frac{1}{4}, \frac{2}{3}\right), m=\frac{1}{2}$$