Chapter 5

Algebra 1 · 391 exercises

Problem 77

Use the equation \(2 x+7 y=14\). What is the \(x\) -intercept?

2 step solution

Problem 77

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

4 step solution

Problem 78

Use the equation \(2 x+7 y=14\). What is the \(y\) -intercept?

3 step solution

Problem 78

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

4 step solution

Problem 79

Use the equation \(2 x+7 y=14\). Multiply each term in the equation by \(\frac{1}{14}\)

3 step solution

Problem 79

Graph the function. $$ h(x)=2 x-8 $$

4 step solution

Problem 80

Use the equation \(2 x+7 y=14\). Find a relationship between the denominators on the left side of the equation and the \(x\) -intercept and the \(y\) -intercept.

3 step solution

Problem 80

Graph the function. $$ f(x)=-5 x-7 $$

3 step solution

Problem 81

Use the following information. The equation 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 81

Graph the function. $$ f(x)=6 x+7 $$

4 step solution

Problem 82

Graph the function. $$ f(x)=3-7 x $$

3 step solution

Problem 83

Graph the function. $$ g(x)=-\frac{1}{2} x-3 $$

4 step solution

Problem 84

Solve the equation. Check the result. (Review 3.4 ) $$8+y=3$$

2 step solution

Problem 84

Graph the function. $$ f(x)=8 x+\frac{2}{3} $$

4 step solution

Problem 85

Solve the equation. Check the result. (Review 3.4 ) $$y-9=2$$

3 step solution

Problem 85

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

3 step solution

Problem 86

Solve the equation. Check the result. (Review 3.4 ) $$-6(q+22)=5 q$$

5 step solution

Problem 86

In a school of 500 teens, 40 have taken drum lessons. What are the odds that a randomly chosen teen has not taken drum lessons?

4 step solution

Problem 87

Solve the equation. Check the result. (Review 3.4 ) $$2(x+5)=18$$

4 step solution

Problem 87

A jar contains 10 blue marbles, 7 red marbles, and 4 yellow marbles. Without looking, you reach into the jar and choose one marble. What is the probability that the marble is red?

3 step solution

Problem 88

Solve the equation. Check the result. (Review 3.4 ) $$7-2 a=-14$$

5 step solution

Problem 89

Solve the equation. Check the result. (Review 3.4 ) $$-2+4 c=19$$

5 step solution

Problem 90

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

5 step solution

Problem 91

Use a table of values to graph the equation. Label the \(x \text { -intercept and the } y \text { -intercept. (Review } 4.2,4.3)\) $$y=4 x-4$$

3 step solution

Problem 92

Use a table of values to graph the equation. Label the \(x \text { -intercept and the } y \text { -intercept. (Review } 4.2,4.3)\) $$y=x+5$$

5 step solution

Problem 93

Use a table of values to graph the equation. Label the \(x \text { -intercept and the } y \text { -intercept. (Review } 4.2,4.3)\) $$y=-9+3 x$$

3 step solution

Problem 94

Use a table of values to graph the equation. Label the \(x \text { -intercept and the } y \text { -intercept. (Review } 4.2,4.3)\) $$y=-x-1$$

4 step solution

Problem 95

Use a table of values to graph the equation. Label the \(x \text { -intercept and the } y \text { -intercept. (Review } 4.2,4.3)\) $$y=10-x$$

3 step solution

Problem 96

Graph the line that passes through the points. Write its equation in slope- intercept form. (Review \(5.3 \text { for } 5.7)\) $$(2,3),(-4,1)$$

3 step solution

Problem 97

Graph the line that passes through the points. Write its equation in slope- intercept form. (Review \(5.3 \text { for } 5.7)\) $$(7,6),(5,-9)$$

3 step solution

Problem 98

Graph the line that passes through the points. Write its equation in slope- intercept form. (Review \(5.3 \text { for } 5.7)\) $$(-5,-2),(-1,12)$$

4 step solution

Problem 99

Graph the line that passes through the points. Write its equation in slope- intercept form. (Review \(5.3 \text { for } 5.7)\) $$(6,-2),(-5,-8)$$

3 step solution

Problem 100

Graph the line that passes through the points. Write its equation in slope- intercept form. (Review \(5.3 \text { for } 5.7)\) $$(2,9),(4,7)$$

3 step solution

Problem 101

Graph the line that passes through the points. Write its equation in slope- intercept form. (Review \(5.3 \text { for } 5.7)\) $$(19,-2),(4,-1)$$

3 step solution

Problem 102

Graph the line that passes through the points. Write its equation in slope- intercept form. (Review \(5.3 \text { for } 5.7)\) $$(5,-8),(7,-3)$$

4 step solution

Problem 103

Graph the line that passes through the points. Write its equation in slope- intercept form. (Review \(5.3 \text { for } 5.7)\) $$(14,-9),(-5,-3)$$

3 step solution

Problem 104

Graph the line that passes through the points. Write its equation in slope- intercept form. (Review \(5.3 \text { for } 5.7)\) $$(-5,9),(5,4)$$

3 step solution

Problem 105

You have 125.79 dollars to spend for a CD player. The sales tax is \(6 \% .\) What is your price limit for the CD player? (Review 3.6)

4 step solution

Problem 106

You have 15 DOLLARS to spend for a calendar. The sales tax is \(8.5 \% .\) What is your price limit for the calendar? (Review 3.6 )

4 step solution

Problem 107

You leave a 1.50 dollars tip for a lunch of \(\$ 6.00 .\) What percent tip did you leave? (Review 3.8).

3 step solution

Problem 108

A coat regularly sells for 84 dollars You buy the coat on sale and save \(\$ 10 .\) What percent is the discount? (Review 3.8 )

4 step solution

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