Algebra 1 Semester Exam Review

What is the slope of the line that passes through the points (5, -11) and (-9, 17)?

• A. -2

• B. -1/2

• C. 7

• D. 2

Answer explanation

Plug the points (X1,Y1) and (X2, Y2) into the slope equation and reduce the fraction!

What is the slope of the graph of y = 12x - 19 ?

• A. 12

• B. -12/19

• C. 19/12

• D. -19

Answer explanation

Slope is the m value in Y=mX+b

The table represents some points on the graph of a linear function.

Which function represents the same relationship?

• A. h(x) = -3x - 10.5

• B. h(x) = -x - 3.5

• C. h(x) = 3x - 10.5

• D. h(x) = x - 3.5

Answer explanation

Use slope formula to find m. Plug a point and the slope into point slope formula to find b.

A savings account balance can be modeled by the graph of the linear function shown on the grid. What is the rate of change of the balance with respect to the number of deposits?

(look at the numbers!, Change of y over change in x)

• $100 per deposit

• $50 per deposit

• $0.50 per deposit

• $2 per deposit

Answer explanation

Change in Y over Change in X is our rate of change.

Looking at the values of Y from point 1 to point 2, it starts at 50 and then goes to 150. Y increases by 100 so 100 is the change in Y.

Looking at values of X from point 1 to point 2, it starts at 0 and then goes to 1. X increases by 1 so 1 is the change in X.

Change of Y over Change in X = 100/1 = 100

100 is our rate of change.

The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?

• 2/9

• -9/2

• 9/2

• -2/9

Answer explanation

Change in Y over Change in X is our rate of change!

Looking at the Y column from line 1 to line 2, it starts at 12 and then goes to 3. Y decreases by 9 so our change in y is -9 (since it is decreasing).

Looking at the X column from line 1 to line 2, it starts at -2 and then goes to 0. X increases by 2 so our change in X is positive 2 (Since it is increasing)

What is the equation in slope-intercept form of the line that passes through the points

(-4, 47) and (2, -16)?

Answer explanation

Plug the points (X1,Y1) and (X2, Y2) into the slope equation and reduce the fraction!

Once you have the slope, you can eliminate some answers.

To narrow it down more, pick one of the points and then plug that and the slope into point-slop formula. Distribute the slope, and then solve for Y!

The graph models the linear relationship between the temperature of Earth's atmosphere and the altitude above sea level.

Which of these best represents the rate of change of the temperature with respect to altitude?

Look for the intersections, use your numbers an units! (change in y over change in x)

• -6.5°C/km

• -3.5°C/km

• -0.29°C/km

• -0.15°C/km

• 
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• 
• 

Answer explanation

Greater Than & Less Than = Dotted line

(Greater Than or Equal to) & (Less Than or Equal to) = Solid Line

Greater Than & (Greater Than or Equal to) = Shade Above

Less Than & (Less Than or Equal to) = Shade Below

• 3

• -9

• 0

• -15