Chapter 5

Write in slope-intercept form the equation of line that passes through the given points. \(m=-2, b=3\)

Solve the equation. $$ 7 y=9 y-8 $$

Write in slope-intercept form the equation of line that passes through the given points. \(m=\frac{1}{2}, b=0\)

Do the three points \((12,0),(0,16),\) and \((12,25)\) form the vertices of a right triangle? Explain your answer.

Solve the equation. $$ 20 x=3 x+17 $$

Write in slope-intercept form the equation of line that passes through the given points. \((0,-3)\) and \((6,5)\)

Choose which lines are perpendicular. Line \(p\) passes through \((4,0)\) and \((6,4)\) Line \(q\) passes through \((0,4)\) and \((6,4)\) Line \(r\) passes through \((0,4)\) and \((0,0)\) A. line \(p\) and line \(q\) B. line \(p\) and line \(r\) C. line \(q\) and line \(r\) D. None of these

Solve the equation. $$ 3 p+10=5 p-7 $$

Write in slope-intercept form the equation of line that passes through the given points. \((7,4)\) and \((-3,0)\)

Which are not slopes of perpendicular lines? F. 1 and \(-1\) G. \(-\frac{11}{16}\) and \(\frac{16}{11}\) H. \(\frac{1}{31}\) and \(-31\) J. \(\frac{3}{2}\) and \(\frac{2}{3}\)

Solve the equation. $$ 12 x+10=2 x+5 $$

Write in slope-intercept form the equation of line that passes through the given points. \((5,2)\) and \((8,2)\)

Simplify the expression. $$2 k-8-8 k$$

Which equation is in point-slope form? A. \(y=5 x-9\) B. \(y+4=3(-2 x+2)\) C. \(x=8(y-1)\) D. \(y+4=3\left(x-\frac{3}{2}\right)\)

The center post of a roof is 8 feet high. The horizontal distance from the center post to the outer edge of the roof is 24 feet. Find the slope, or pitch, of the roof.

Compare using \(<,>,\) or \(=\). \(25 \% ? 0.25\)

Simplify the expression. $$-5 c+10+8 c-3$$

Add. Write the answer as a fraction or as a mixed number in simplest form. $$ 2 \frac{5}{12}+1 \frac{1}{6} $$

Compare using \(<,>,\) or \(=\). \(0.3 ? 3 \%\)

Simplify the expression. $$12 x+12 y-6 x+2$$

Add. Write the answer as a fraction or as a mixed number in simplest form. $$ 5 \frac{2}{3}+2 \frac{1}{8} $$

Compare using \(<,>,\) or \(=\). \(0.01 ? 1 \%\)

Solve the equation. $$4 x-11=-31$$

Check whether the given value of the variable is a solution of the inequality. (Lesson 1.4) $$ 2 x<24 ; x=8 $$

Add. Write the answer as a fraction or as a mixed number in simplest form. $$ 3+\frac{2}{7} $$

Compare using \(<,>,\) or \(=\). \(0.065 ? 65 \%\)

Solve the equation. $$5 x-7+x=19$$

Check whether the given value of the variable is a solution of the inequality. (Lesson 1.4) $$ 7 y+6>10 ; y=3 $$

Add. Write the answer as a fraction or as a mixed number in simplest form. $$ 3 \frac{1}{8}+5 \frac{5}{6} $$

Solve the equation. $$2 x-6=20$$

Check whether the given value of the variable is a solution of the inequality. (Lesson 1.4) $$ 16 p-9 \geq 71 ; p=5 $$

Add. Write the answer as a fraction or as a mixed number in simplest form. $$ 1 \frac{1}{4}+2 \frac{5}{8} $$

The United States Bureau of the Census predicts that the population of Florida will be about 17.4 million in 2010 and then will increase by about 0.22 million per year until 2025. Choose the equation that predicts the population y of Florida (in millions) in terms of x, the number of years after 2010. $$ (A) y=17.4 x+0.22 $$ $$ (B)y=-0.22 x+17.4 $$ $$ (C)y=0.22 x+17.4 $$ $$ (D)y=-17.4 x+0.22 $$

Determine whether the line is horizontal or vertical. Then graph the line. $$y=-2$$

Check whether the given value of the variable is a solution of the inequality. (Lesson 1.4) $$ 12 a \leq a-9 ; a=-2 $$

Add. Write the answer as a fraction or as a mixed number in simplest form. $$ 17 \frac{1}{3}+9 \frac{1}{2} $$

Compare using \(<,>,\) or \(=\) \(0.017 ? 17 \%\)

Determine whether the line is horizontal or vertical. Then graph the line. $$x=7$$

Check whether the given value of the variable is a solution of the inequality. (Lesson 1.4) $$ 4 x \leq 28 ; x=7 $$

Add. Write the answer as a fraction or as a mixed number in simplest form. $$ 7 \frac{3}{16}+3 \frac{19}{20} $$

Evaluate the expression when x 3 and y 6. $$ \frac{3 x}{x+y} $$

Compare using \(<,>,\) or \(=\) \(5 \% ? 0.05\)

Determine whether the line is horizontal or vertical. Then graph the line. $$x=4$$

Check whether the given value of the variable is a solution of the inequality. (Lesson 1.4) $$ 6 c-4>14 ; c=3 $$

You are buying \(\$ 24\) worth of birdseed that consists of two types of seed. Thistle seed costs \(\$ 2\) per pound. Dark oil sunflower seed costs \(\$ 1.50\) per pound. The equation \(2 x+1.5 y=24\) models the number of pounds of thistle seed \(x\) and the number of pounds of dark oil sunflower seed \(y\) that you can buy. Graph the line representing the possible seed mixtures.

Add. Write the answer as a fraction or as a mixed number in simplest form. $$ 1 \frac{2}{9}+5 \frac{13}{18} $$

Determine whether the line is horizontal or vertical. Then graph the line. $$y=3$$

Graph the function. (Lesson 4.8) $$ g(x)=3 x+1 $$

Add. Write the answer as a fraction or as a mixed number in simplest form. $$ 2 \frac{3}{4}+20 \frac{1}{5} $$

Divide. Write the answer as a fraction or as a mixed number in simplest form. $$\frac{3}{5} \div \frac{6}{7}$$