Lesson 11

More Solutions to Linear Equations

For each equation, find $y$ when $x=\text-3$ . Then find $x$ when $y=2$

$y=6x+8$
$y=\frac23x$
$y=\text-x+5$
$y=\frac34x-2\frac12$
$y=1.5x +11$

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True or false: The points $(6,13)$ , $(21,33)$ , and $(99,137)$ all lie on the same line. The equation of the line is $y=\frac43x+5$ . Explain or show your reasoning.

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Here is a linear equation: $y=\frac14 x +\frac54$

Are $(1,1.5)$ and $(12,4)$ solutions to the equation? Explain or show your reasoning.
Find the $x$ -intercept of the graph of the equation. Explain or show your reasoning.

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Find the coordinates of $B$ , $C$ , and $D$ given that $AB$ = 5 and $BC$ = 10.

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(From Unit 2, Lesson 16.)

Match each graph of a linear relationship to a situation that most reasonably reflects its context.

$y$ is the weight of a kitten $x$ days after birth.

$y$ is the distance left to go in a car ride after $x$ hours of driving at a constant rate toward its destination.

$y$ is the temperature, in degrees C, of a gas being warmed in a laboratory experiment.

$y$ is the amount of calories consumed eating $x$ crackers.

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(From Unit 5, Lesson 8.)

Lesson 11

Problem 1

Solution

Problem 2

Solution

Problem 3

Solution

Problem 4

Solution

Problem 5

Solution