Lesson 13: Practice Problems

Problem 1

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

$y = 6 x + 8$
$y = \frac{2}{3} x$
$y = - x + 5$
$y = \frac{3}{4} x - 2 \frac{1}{2}$
$y = 1.5 x + 11$

Problem 2

True or false: The points $(6, 13)$ , $(21, 33)$ , and $(99, 137)$ all lie on the same line. The equation of the line is $y = \frac{4}{3} x + 5$ . Explain or show your reasoning.

Problem 3

Here is a linear equation: $y = \frac{1}{4} x + \frac{5}{4}$

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.

Problem 4 From Unit 2 Lesson 11

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

A graph of a line with a triangle with vertexes A (-2,-5), B (90 degree angle) and C. There is also point D on the hypotenuse and y axis.

Problem 5 From Unit 3 Lesson 9

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

Graph A

graph of a line starting at origin and moving diagonally upward, y and x axis labeled

Graph B

graph of a line starting above origin on the y-axis and moving gradually diagonally upward, y and x axis labeled

Graph C

graph of a line starting below the origin on the y-axis and moving diagonally upward, y and x axis labeled

Graph D

graph of a line starting above origin on the y-axis and moving diagonally downward, y and x axis labeled

Graph A
Graph B
Graph C
Graph D

$y$ 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.