Chapter 5

Algebra 1: Concepts and Skills · 266 exercises

Problem 59

Graph the function. (Lesson 4.8) $$ h(x)=4 x-4 $$

3 step solution

Problem 59

The equation below represents the intercept form of the equation of a line. In the equation, the x-intercept is a and the y-intercept is b. \(\frac{x}{a}+\frac{y}{b}=1\) Write the intercept form of the equation of the line whose x-intercept is 2 and y-intercept is 3.

2 step solution

Problem 60

Divide. Write the answer as a fraction or as a mixed number in simplest form. $$\frac{4}{5} \div \frac{3}{10}$$

4 step solution

Problem 60

Graph the function. (Lesson 4.8) $$ f(x)=2 x+10 $$

3 step solution

Problem 61

Divide. Write the answer as a fraction or as a mixed number in simplest form. $$\frac{4}{9} \div \frac{2}{3}$$

3 step solution

Problem 61

Graph the function. (Lesson 4.8) $$ f(x)=-3 x+4 $$

4 step solution

Problem 61

Evaluate the expression when x 3 and y 6. $$ \frac{-8 x}{-4 y} $$

3 step solution

Problem 62

Divide. Write the answer as a fraction or as a mixed number in simplest form. $$ \frac{5}{8} \div \frac{7}{3} $$

3 step solution

Problem 62

Graph the function. (Lesson 4.8) $$ g(x)=-x-7 $$

3 step solution

Problem 62

Choose an equation in standard form of the line that passes through the point \((-1,-4)\) and has a slope of \(2 .\) (F) \(-2 x+y=-2\) (H) \(-x-y=9\) (G) \(-3 y=x-9\) (J) \(x-3 y=-9\)

3 step solution

Problem 62

Find three solutions of the equation. $$ y=6 x+3 $$

3 step solution

Problem 63

Divide. Write the answer as a fraction or as a mixed number in simplest form. $$ \frac{4}{9} \div \frac{9}{6} $$

3 step solution

Problem 63

Graph the function. (Lesson 4.8) $$ g(x)=\frac{6}{5} x+5 $$

3 step solution

Problem 63

Solve the equation. \(8+y=3\)

2 step solution

Problem 63

Find three solutions of the equation. $$ y=-x-4 $$

4 step solution

Problem 64

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

4 step solution

Problem 64

Solve the equation. \(y-9=2\)

3 step solution

Problem 64

Subtract. Write the answer as a fraction or as a mixed number in simplest form. (Skills Review p.764) $$ \frac{5}{6}-\frac{1}{2} $$

4 step solution

Problem 64

Find three solutions of the equation. $$ y=\frac{1}{2} x $$

3 step solution

Problem 65

Divide. Write the answer as a fraction or as a mixed number in simplest form. $$ 2 \frac{1}{3} \div \frac{1}{3} $$

3 step solution

Problem 65

Solve the equation. \(6(q+22)=-120\)

5 step solution

Problem 65

Subtract. Write the answer as a fraction or as a mixed number in simplest form. (Skills Review p.764) $$ \frac{1}{3}-\frac{1}{18} $$

4 step solution

Problem 65

Find three solutions of the equation. $$ y=-5 x+7 $$

4 step solution

Problem 66

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

4 step solution

Problem 66

Solve the equation. \(2(x+5)=18\)

3 step solution

Problem 66

Subtract. Write the answer as a fraction or as a mixed number in simplest form. (Skills Review p.764) $$ \frac{7}{8}-\frac{2}{3} $$

3 step solution

Problem 66

Find three solutions of the equation. $$ x+y=1 $$

3 step solution

Problem 67

Divide. Write the answer as a fraction or as a mixed number in simplest form. $$ \frac{7}{8} \div \frac{13}{8} $$

4 step solution

Problem 67

Solve the equation. \(7-2 a=-14\)

3 step solution

Problem 67

Subtract. Write the answer as a fraction or as a mixed number in simplest form. (Skills Review p.764) $$ \frac{1}{2}-\frac{1}{5} $$

4 step solution

Problem 67

Find three solutions of the equation. $$ x+3 y=9 $$

3 step solution

Problem 68

Divide. Write the answer as a fraction or as a mixed number in simplest form. $$ 3 \frac{3}{4} \div \frac{5}{4} $$

4 step solution

Problem 68

Solve the equation. \(-2+4 c=19\)

2 step solution

Problem 68

Subtract. Write the answer as a fraction or as a mixed number in simplest form. (Skills Review p.764) $$ \frac{8}{9}-\frac{1}{3} $$

4 step solution

Problem 68

Find the slope and the y-intercept of the graph of the equation. Then graph the equation. $$ y+2 x=2 $$

3 step solution

Problem 69

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

4 step solution

Problem 69

Use a table of values to graph the equation. Label the x-intercept and the y-intercept. \(y=x+5\)

3 step solution

Problem 69

Subtract. Write the answer as a fraction or as a mixed number in simplest form. (Skills Review p.764) $$ \frac{5}{7}-\frac{2}{3} $$

4 step solution

Problem 69

Find the slope and the y-intercept of the graph of the equation. Then graph the equation. $$ 3 x-y=-5 $$

3 step solution

Problem 70

Divide. Write the answer as a fraction or as a mixed number in simplest form. $$ 5 \frac{7}{10} \div 5 $$

4 step solution

Problem 70

Use a table of values to graph the equation. Label the x-intercept and the y-intercept. \(y=4 x-4\)

3 step solution

Problem 70

Subtract. Write the answer as a fraction or as a mixed number in simplest form. (Skills Review p.764) $$ \frac{3}{5}-\frac{1}{2} $$

4 step solution

Problem 70

Find the slope and the y-intercept of the graph of the equation. Then graph the equation. $$ 9 x+3 y=15 $$

3 step solution

Problem 71

Use a table of values to graph the equation. Label the x-intercept and the y-intercept. \(y=-x+8\)

4 step solution

Problem 71

Subtract. Write the answer as a fraction or as a mixed number in simplest form. (Skills Review p.764) $$ \frac{3}{4}-\frac{1}{3} $$

4 step solution

Problem 71

Find the slope and the y-intercept of the graph of the equation. Then graph the equation. $$ 4 x+2 y=6 $$

3 step solution

Problem 72

Round to the nearest whole dollar. \(\$ 14.76\)

3 step solution

Problem 72

Find the slope and the y-intercept of the graph of the equation. Then graph the equation. $$ 4 y+12 x=16 $$

3 step solution

Problem 73

Round to the nearest whole dollar. \(\$ 908.23\)

3 step solution

Problem 73

Find the slope and the y-intercept of the graph of the equation. Then graph the equation. $$ 25 x-5 y=30 $$

3 step solution

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