Lesson 1 Business Cents Solidify Understanding

Ready

Write the coordinate of the $x$ -intercept and $y$ -intercept for each linear relationship.

1.

$x$	$y$
$- 3$	$54$
$- 2$	$48$
$- 1$	$42$
$0$	$36$
$1$	$30$
$2$	$24$
$3$	$18$
$4$	$12$
$5$	$6$
$6$	$0$
$7$	$- 6$

$x$ -intercept:

$y$ -intercept:

2.

$x$	$y$
$- 8$	$- 42$
$- 7$	$- 35$
$- 6$	$- 28$
$- 5$	$- 21$
$- 4$	$- 14$
$- 3$	$- 7$
$- 2$	$0$
$- 1$	$7$
$0$	$14$
$1$	$21$
$2$	$28$

$x$ -intercept:

$y$ -intercept:

3.

$x$ -intercept:

$y$ -intercept:

4.

$y = 3 x - 9$

$x$ -intercept:

$y$ -intercept:

5.

What is true about the coordinates for all intercepts, either $x$ or $y$ ?

Fill in the table with values that satisfy the equation. Determine both the $x$ - and $y$ -values to satisfy the equation. Then make a graph to represent the equation.

6.

$y = 4 x - 6$

$x$	$y$

7.

$y = x + 5$

$x$	$y$

8.

$x + y = 9$

$x$	$y$

Set

Solve each system of equations using the algebraic method of substitution. Check your solution in both equations.

9.

${\begin{cases} y = 2 x - 13 \\ y = x - 5 \end{cases}$

10.

${\begin{cases} y = - 2 x + 9 \\ y = x - 3 \end{cases}$

11.

${\begin{cases} y = x + 1 \\ x + 2 y = 8 \end{cases}$

12.

${\begin{cases} x = 9 - 2 y \\ 3 x + 5 y = 20 \end{cases}$

13.

${\begin{cases} y = 2 x - 4 \\ 3 y + 21 x = 15 \end{cases}$

14.

${\begin{cases} x = - 1 - 2 y \\ 3 x + 5 y = - 1 \end{cases}$

Go

Solve the following inequalities and graph the solution set on a number line.

15.

$4 x + 10 < 2 x + 14$

16.

$2 x + 6 > 55 - 5 x$

17.

$2 x < 7 x - 36$

18.

$3 x - 7 \geq 2 (x - 7)$