Winter Session Chapter 2 Test

Simone needs to graph the equation

 $y=2x-5$ . She says that she should start graphing on the y-intercept  $\left(0,-5\right)$  and then draw a line with a slope of 2. Is Simone correct? 

• Yes, Simone is correct.

• No, Simone needs to start graphing at the x-intercept  $\left(-5,0\right)$ . 

• No, Simone needs to start graphing at the y-intercept  $\left(0,2\right)$  and then draw a line with a slope of -5.

• No, Simone needs to start graphing at the x-intercept  $\left(0,2\right)$  and then draw a line with a slope of -5.

Which of the following is the graph of the line  $3x-2y=8$ ? 

• 
• 
• 
• 

A linear function can be used to model the relationship between x and y that is shown in the table. What is the equation of this linear function?

•  $y=3x+3$  

•  $y=3x-11$  

•  $y=6x-2$  

•  $y=6x-20$  

Morton needs to have his car repaired. The auto repair shop charges a fixed dollar amount for labor, plus another dollar amount per hour. The coordinate grid shows the graph of the function that represents the situation. What is the y-intercept of the function and what does it represent?

• It is $75, and it represents the hourly rate for the labor charges.

• It is $50, and it represents the hourly rate for the labor charges.

• It is $50, and it represents the fixed amount for the labor charges.

• It is $75, and it represents the fixed amount for the labor charges.

The graph of the function f(x) is shown. Which set of properties accurately describe this function? Which set of properties accurately describes this function?

• The function has an x-intercept of 3 and y-intercept of 5, and is decreasing over the entire domain.

• The function has an x-intercept of 5 and y-intercept of 3, and is decreasing over the entire domain.

• The function has an x-intercept of 5 and y-intercept of 3, and is increasing over the entire domain.

• The function has an x-intercept of 3 and y-intercept of 5, and is increasing over the entire domain.

Which equation represents a line that has a slope of  $-\frac{1}{2}$  and passes through the point  $\left(4,0\right)$ ? 

•  $y=-\frac{1}{2}x+2$  

•  $y=-4x+\frac{1}{2}$  

•  $y=4x-\frac{1}{2}$  

•  $y=-\frac{1}{2}x+4$  

Select the linear function of the given graph.

• $f\left(x\right)=-\frac{2}{3}x-2$

• $f\left(x\right)=\frac{2}{3}x+3$

• $f\left(x\right)=\frac{2}{3}x-2$

• $f\left(x\right)=-\frac{2}{3}x+3$

Colleen recently purchased a farm that raises chickens. She wants to know how much a baby chick weighs when it is hatched. To find out, she recorded the weight of one of the chicks after it was born. She found that her chick grew about 2.5 grams each day. Nine days after it hatched, the chick weighed 27 grams.

Objective: Assume the chicken will continue to grow at the same rate. What is the linear equation that represents the growth of the chickens after x days?

• $y=2.5x+9$

• $y=2.5x+27$

• $y=2.5x+4.5$

• $y=2.5x+18$

Colleen recently purchased a farm that raises chickens. She wants to know how much a baby chick weighs when it is hatched. To find out, she recorded the weight of one of the chicks after it was born. She found that her chick grew about 2.5 grams each day. Nine days after it hatched, the chick weighed 27 grams.

Objective: Identify and interpret the slope of your equation in the context of the story.

• The slope is 9, which means the chick is growing 9 days for each gram.

• The slope is 2.5, which means the chick is growing 2.5 grams for each day.

• The slope is 9, which means the chick is growing 9 grams for each day.

• The slope is 2.5, which means the chick is growing 2.5 days for each gram.

Colleen recently purchased a farm that raises chickens. She wants to know how much a baby chick weighs when it is hatched. To find out, she recorded the weight of one of the chicks after it was born. She found that her chick grew about 2.5 grams each day. Nine days after it hatched, the chick weighed 27 grams.

Objective: Identify and interpret the y-intercept of your equation in the context of the story.

• The y-intercept is 9, which means the chick was 9 grams when the chick was born.

• The y-intercept is 2.5, which means the chick was 2.5 grams when the chick was born.

• The y-intercept is 27, which means the chick was 27 grams when the chick was born.

• The y-intercept is 4.5, which means the chick was 4.5 grams when the chick was born.