Chapter 4

Use the following information. The violin family includes the bass, the cello, the viola, and the violin. The size of each instrument determines its range. The shortest produces the highest notes, while the longest produces the deepest (lowest) notes. \begin{array}{|l|c|c|c|c|} \hline \text { Violin family } & {\text { Bass }} & {\text { Cello }} & {\text { Viola }} & {\text { Violin }} \\ \hline \text { Total length, t (inches) } & {72} & {47} & {26} & {23} \\ \hline \text { Body length, b (inches) } & {44} & {30} & {?} & {14} \\ \hline \end{array} Write a direct variation model that relates the body length of a member of the violin family to its total length. HINT: Round each ratio to the nearest tenth. Then write a direct variation model.

Write the equation in slope-intercept form. Then graph the equation. $$3 x-6 y=9$$

LADDER The top of a ladder is 12 feet from the ground. The base of the ladder is 5 feet to the left of the wall. What is the slope of the ladder? Make a sketch to help you.

The ordered pair \((3,5)\) is a solution of \(?\) F. \(y=5\) G. \(x=5\) H. \(y=-3\) J. \(x=-5\)

Find three ordered pairs that are solutions of the equation. $$ 3 x-5 y=15 $$

Which ordered pair has an \(x\) -coordinate of \(-7 ? (A) \)(3,-7)\( (B) \)(-7,3)\( (C) \)(7,3)\( (D) \)(3,7)$

Graph the function. $$ g(x)=2 x-3 $$

Write the equation in slope-intercept form. Then graph the equation. $$4 x+5 y=15$$

Evaluate the expression. (Lesson 1.3) $$ 17-6+4-8 $$

Find three ordered pairs that are solutions of the equation. $$ 5 x+2 y=10 $$

The point \((-9,-8)\) is in which quadrant? (A) Quadrant I (B) Quadrant II (C) Quadrant III (D) Quadrant IV

Graph the function. $$ h(x)=5 x-6 $$

Find the constant of variation of the direct variation model \(3x = y.\) A. 3 B.\(\frac{1}{3}\) C.1 D.-3

Write the equation in slope-intercept form. Then graph the equation. $$4 x-y-3=0$$

Evaluate the expression. (Lesson 1.3) $$ 6+9 \div 3+3 $$

Find three ordered pairs that are solutions of the equation. $$ y-3 x=9 $$

Which ordered pair is in Quadrant IV? (A) \((7,12)\) (B) \((-4,3)\) (C) \((-4,3)\) (D) \((8,-7)\)

Graph the function. $$ f(x)=4 x+1 $$

Find the \(x\) -intercepts and the \(y\) -intercepts of the line. Graph the equation. Label the points where the line crosses the axes. $$ y=x+3 $$

The variables x and y vary directly. When x = 4, y = 24. Which equation correctly relates x and y? $$F. x=4 y$$ $$G.y=4 x$$ $$H.x=6 y$$ $$J.y=6 x$$

Write the equation in slope-intercept form. Then graph the equation. $$x-y+4=0$$

Evaluate the expression. (Lesson 1.3) $$ 4 \cdot 5-2 \cdot 6 $$

Find three ordered pairs that are solutions of the equation. $$ -5 x-3 y=12 $$

The vertical axis is also called the ____ ? (A) \(x-\mathrm{axis}\) (B) \(y\) -axis (C) coordinate plane (D) origin The vertical axis is also called the ____ ? (A) \(x-\mathrm{axis}\) (B) \(y\) -axis (C) coordinate plane (D) origin

Graph the function. $$ h(x)=9 x+2 $$

Find the \(x\) -intercepts and the \(y\) -intercepts of the line. Graph the equation. Label the points where the line crosses the axes. $$ y=x+9 $$

Solve the equation. (Lesson 3.3) $$ 7 x+30=-5 $$

Write the equation in slope-intercept form. Then graph the equation. $$2 x-3 y-6=0$$

Evaluate the expression. (Lesson 1.3) $$ 9 \cdot 6 \div 3 \cdot 18 $$

Use a table of values to graph the equation. $$ y=3 x+3 $$

EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable. \(3 x+9\) when \(x=2\)

Find the x-intercepts and the y-intercepts of the line. Graph the equation. Label the points where the line crosses the axes. $$ y=-4+2 x $$

Graph the function. $$ h(x)=-x+4 $$

Solve the equation. (Lesson 3.3) $$ 4 y=26-9 y $$

Write the equation in slope-intercept form. Then graph the equation. $$5 x+15+5 y=10 x$$

Find the grade of a road that rises \(1 \frac{1}{2}\) feet for every horizontal distance of 25 feet.

Evaluate the expression. (Lesson 1.3) $$ 22-8 \div 2 \cdot 3 $$

Use a table of values to graph the equation. $$ y=4 x+2 $$

EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable. \(13-(y+2)\) when \(y=4\)

Find the x-intercepts and the y-intercepts of the line. Graph the equation. Label the points where the line crosses the axes. $$ y=2-x $$

Graph the function. $$ g(x)=-2 x+5 $$

Solve the equation. (Lesson 3.3) $$ 2(w-2)=2 $$

Write the equation in slope-intercept form. Then graph the equation. $$2 x+2 y-4=x+5$$

Find the grade of a road that rises 70 feet for every horizontal distance of 1000 feet.

Evaluate the expression. (Lesson 1.3) $$ 0.75 \div 2.5 \cdot 2+1 $$

Use a table of values to graph the equation. $$ y=3 x-4 $$

EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable. \(4.2 t+17.9\) when \(t=3\)

Find the x-intercepts and the y-intercepts of the line. Graph the equation. Label the points where the line crosses the axes. $$ y=-3 x+9 $$

Graph the function. $$ f(x)=-3 x-2 $$

Solve the equation. (Lesson 3.3) $$ 9 x+65=-4 x $$