Chapter 4

Algebra 1: Concepts and Skills · 495 exercises

Problem 7

find the slope and y-intercept of the equation. $$y+x=15$$

3 step solution

Problem 7

Find the \(y\) -intercept of the graph of the equation. $$ -2 x-8 y=16 $$

3 step solution

Problem 7

Graph the equation. $$ x=7 $$

3 step solution

Problem 7

Rewrite the equation in function form. $$ x+y=-2 $$

2 step solution

Problem 7

Complete the statement with always, sometimes, or never. A point plotted in Quadrant IV \({?}\) has a positive \(x\) -value.

2 step solution

Problem 8

Determine whether the inequality is a multi-step inequality. Then explain how you would solve the inequality. $$ 10-c \geq 6 $$

3 step solution

Problem 8

The variables \(x\) and \(y\) vary directly. Use the given values to write an equation that relates \(x\) and \(y .\) $$ x=3, y=36 $$

3 step solution

Problem 8

Plot the points and draw the line that passes through them. Without finding the slope, determine whether the slope is positive, negative, zero, or undefined. \((2,1)\) and \((5,3)\)

3 step solution

Problem 8

find the slope and y-intercept of the equation. $$y=\frac{1}{2} x+6$$

2 step solution

Problem 8

Find the \(y\) -intercept of the graph of the equation. $$ 10 x-y=-5 $$

2 step solution

Problem 8

Rewrite the equation in function form. $$ x+3 y=9 $$

3 step solution

Problem 8

Complete the statement with always, sometimes, or never. A point plotted on the \(x\) -axis \({?}\) has \(y\) -coordinate \(0 .\)

3 step solution

Problem 9

Determine whether the inequality is a multi-step inequality. Then explain how you would solve the inequality. $$ \frac{1}{2} b+2>6 $$

3 step solution

Problem 9

Graph the equation. \(y=x\)

4 step solution

Problem 9

Plot the points and draw the line that passes through them. Without finding the slope, determine whether the slope is positive, negative, zero, or undefined. $$ (-4,-3) \text { and }(0,-3) $$

3 step solution

Problem 9

Find the \(x\) -intercept and the \(y\) -intercept of the graph of the equation. Graph the equation. $$ y=x+2 $$

3 step solution

Problem 9

Rewrite the equation in function form. $$ 4 x+2+2 y=10 $$

4 step solution

Problem 9

Complete the statement with always, sometimes, or never. A point plotted on the \(x\) -axis ? has \(y\) -coordinate \(0 .\)

3 step solution

Problem 10

Determine whether the inequality is a multi-step inequality. Then explain how you would solve the inequality. $$ 3 m+2 \leq 7 m $$

3 step solution

Problem 10

Graph the equation. \(y=-3 x\)

4 step solution

Problem 10

Are the graphs of y = x + 2 and y = x - 4 parallel lines?

3 step solution

Problem 10

Find the \(x\) -intercept and the \(y\) -intercept of the graph of the equation. Graph the equation. $$ y-2 x=3 $$

3 step solution

Problem 10

Complete the statement with always, sometimes, or never. The graph of an equation of the form \(y=b\) is \({?}\) a horizontal line.

3 step solution

Problem 10

Find three ordered pairs that are solutions of the equation. $$ y=4 x-1 $$

3 step solution

Problem 11

Determine whether the inequality is a multi-step inequality. Then explain how you would solve the inequality. $$ 2 w-1>6 w+2 $$

4 step solution

Problem 11

Graph the equation. \(y=5 x\)

4 step solution

Problem 11

Rewrite the equation in slope-intercept form. $$-x+y=9$$

2 step solution

Problem 11

Find the \(x\) -intercept and the \(y\) -intercept of the graph of the equation. Graph the equation. $$ 2 x-y=4 $$

3 step solution

Problem 11

Find three ordered pairs that are solutions of the equation. $$ y=5 x+7 $$

4 step solution

Problem 12

Find the constant of variation. \(y\) varies directly with \(x,\) and \(y=54\) when \(x=6\)

3 step solution

Problem 12

Rewrite the equation in slope-intercept form. $$3 x+y=-11$$

2 step solution

Problem 12

Find the \(x\) -intercept and the \(y\) -intercept of the graph of the equation. Graph the equation. $$ 3 y=-6 x+3 $$

4 step solution

Problem 12

Find three ordered pairs that are solutions of the equation. $$ y=\frac{1}{2} x+3 $$

3 step solution

Problem 13

Find the constant of variation. \(y\) varies directly with \(x,\) and \(y=72\) when \(x=6\)

3 step solution

Problem 13

Rewrite the equation in slope-intercept form. $$10 x-5 y=50$$

3 step solution

Problem 13

Plot the points and draw a line that passes through them. Use the rise and run to find the slope. $$ (2,3) \text { and }(0,6) $$

5 step solution

Problem 13

Find the \(x\) -intercept and the \(y\) -intercept of the graph of the equation. Graph the equation. $$ 5 y=5 x+15 $$

4 step solution

Problem 13

Complete the statement with always, sometimes, or never. The range of the function \(y=4\) is \(?\) equal to 4

3 step solution

Problem 13

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

3 step solution

Problem 13

Plot and label the ordered pairs in a coordinate plane. $$ A(0,3), B(-2,-1), C(2,0) $$

5 step solution

Problem 14

Describe the steps you would use to solve the inequality. $$ 7 a-4<17 $$

2 step solution

Problem 14

Find the constant of variation. \(h\) varies directly with \(m,\) and \(h=112\) when \(m=12\)

3 step solution

Problem 14

Rewrite the equation in slope-intercept form. $$y-4 x=9$$

2 step solution

Problem 14

Plot the points and draw a line that passes through them. Use the rise and run to find the slope. $$(1,4) \text { and }(3,2)$$

4 step solution

Problem 14

Find the \(x\) -intercept and the \(y\) -intercept of the graph of the equation. Graph the equation. $$ x-y=1 $$

3 step solution

Problem 14

Determine whether the given ordered pair is a solution of the equation. $$ y=-2,(-2,-2) $$

3 step solution

Problem 14

Use a table of values to graph the equation. $$ y=x+5 $$

3 step solution

Problem 14

Plot and label the ordered pairs in a coordinate plane. $$ A(5,2), B(4,3), C(-2,-4) $$

3 step solution

Problem 15

Describe the steps you would use to solve the inequality. $$ 11-2 n>-5 $$

3 step solution

Problem 15

Find the constant of variation. W varies directly with \(m,\) and \(W=150\) when \(m=6\)

3 step solution

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