Lesson 9 Can You Get to the Point, Too? Solidify Understanding

Ready

Determine the solution to each system of linear equations.

1.

$x$	$f (x)$
$- 1$	$5$
$0$	$7$
$1$	$9$
$2$	$11$
$3$	$13$

$x$	$g (x)$
$- 2$	$- 6$
$- 1$	$- 1$
$0$	$4$
$1$	$9$
$2$	$14$

2.

${\begin{cases} y = 2 x - 9 \\ y = 3 x - 21 \end{cases}$

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5.

${\begin{cases} x = 5 y + 1 \\ 2 x - 2 y = 18 \end{cases}$

6.

$x$	$h (x)$
$- 3$	$42$
$- 2$	$45$
$- 1$	$48$
$0$	$51$
$1$	$54$

$x$	$p (x)$
$- 3$	$48$
$- 2$	$45$
$- 1$	$42$
$0$	$39$
$1$	$36$

Set

Solve each system of equations using algebra. Check your solution.

7.

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

8.

${\begin{cases} 2 x + 5 y = 3 \\ x + 5 y = 6 \end{cases}$

9.

${\begin{cases} 2 x + 0.5 y = 3 \\ x + 2 y = 8.5 \end{cases}$

10.

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

11.

${\begin{cases} 3 x + 5 y = - 3 \\ x + 2 y = - \frac{4}{3} \end{cases}$

12.

A $150$ -yard pipe is cut to provide drainage for two fields. If the length of one piece $(a)$ is three yards less than twice the length of the second piece $(b)$ , what are the lengths of the two pieces?

Go

For each graph determine if the relationship represents a function. If it is a function, write yes and explain why. If it is not a function, write no and explain why it is not.

Lesson 9 Can You Get to the Point, Too? Solidify Understanding

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