3rd 6 weeks Test – Algebra I

ChanceMultiple

Reps

Slope/ y-

intercept

Transformations

Parallel & Perpendic

ular

10

20

30

40

50

40

30

20

10

50 50

40

30

20

10

50

40

30

20

10

50

40

30

20

10

Multiple Reps – 10 Points

QUESTION:

A ______________ function must have a constant rate of change

ANSWER:

• linear

Multiple Reps – 20 Points

QUESTION:

Which of the representations below can be used to determine whether or not a function is linear?

A. GraphB. EquationC. Both of the aboveD. None of the above

ANSWER:• B – Both of the above. Any representation can be used to

determine whether a function is linear or not.

Multiple Reps– 30 Points

QUESTION:• Does this table represent a linear function? Why or why not?

ANSWER:

• Yes. All rates of change are the same. m=3/2

X Y

-1 -4

1 -1

3 2

5 5

Multiple Reps– 40 Points

QUESTION:• Is the following equation a direct variation? Why or why not?

ANSWER:

• No. Since the equation is in standard form and it does not equal 0, it cannot be a direct variation.

3x+4y=6

Multiple Reps– 50 Points

QUESTION:Camilla is baking cookies for her class and wants to make sure she has enough chocolate chips. It takes 8 chocolate chips for one cookie, 15 for 2 cookies, and 22 for 3 cookies. If she has a total of 400 chocolate chips, will she have enough for 50 cookies? ANSWER:

• No. If we continued with her pattern (y=8x+1) she would need 401 chocolate chips.

Slope/y-intercept – 10 Points

QUESTION:At a the bat festival, each person is charged an entrance fee of $5.00 plus $1.50 per game they play. What is the slope?

A. Number of games playedB. $5.00C. Cost of attending the festival D. $1.50

ANSWER:• D - $1.50

Slope/y-intercept– 20 Points

QUESTION:Lily earns money babysitting. She gets paid $10 for the first hour and $8 for every hour after. What is the y-intercept in the situation?

A. $8B. Number of hoursC. $10 D. Amount of money earnedANSWER:

• C - $10

Slope/y-intercept– 30 Points

QUESTION:

• What is the meaning of the rate of change in the situation represented by the graph?

ANSWER:• The cost per mile driven

in a rental car.

Slope/y-intercept– 40 Points

QUESTION:

• A weightlifter is adding plates of equal weight to a bar. The table below shows the total weight, including the bar, that he will lift depending on the total number of plates on the bar. Based on this information, what does the number 35 signify?

ANSWER:• The weight of each plate.

Slope/y-intercept– 50 Points

QUESTION:The length of a certain plant is changing as described by the equation, y=5x+3, where represents the height in centimeters of the plant, and represents the number of years since the plant was planted. Is the statement “the plant has a height of 3 centimeters and grows at a rate of 5 centimeters per year” correct? If not, how should the statement be changed?

ANSWER:• Yes, it is correct. The 3 indicates the starting point, and the 5

indicates the rate of change per year.

Transformations– 10 Points

QUESTION:

• If the graph of y=2x+4 is translated 2 units up, which equation describes the new graph?

• A. y=2x+4• B. y=2x+6• C. y=4x+4• D. y=4x+6

ANSWER:• B – in a translation, the slope stays the same but the y-

intercept changes.

Transformations– 20 Points

QUESTION:A preschool charges a one-time fee of $180 for supplies and $275 a month. How will the graph change if the monthly rate is increased by $100?

A. The graph will be steeper.B. The graph will be higher.C. The graph will be less steep. D. The graph will be lower.

ANSWER:• A – The graph will be steeper. Because the monthly rate is

the slope, this is a rotation. The y-intercept is not changing.

Transformations – 30 Points

QUESTION:• The slope and y-intercept of the graph of f(x) were

changed to make the graph of g(x), as shown. Determine whether or not the following statement is an accurate description of the changes that were made? “The slope was multiplied by 2, and the y-intercept was decreased by 5 to make the graph of g(x).”

ANSWER:• No, it is not accurate.

The slope was multiplied by A negative number.

Transformations– 40 Points

QUESTION:An airplane’s altitude in feet during its descent for landing can be found using the function f(x) = -300x+30,000, where represents the horizontal distance in miles from where the plane begins its descent. After new government regulations become law, the airplane’s descent will be modeled by the function g(x) = -300x+30,500. Which statement describes this change?

A. The airplane starts its descent from an altitude 500 feet higher.B. The airplane starts its descent from an altitude 500 feet lower.C. The airplane descends 500 feet per horizontal mile faster.D. The airplane descends 500 feet per horizontal mile slower.

ANSWER:• A – the y-intercept was increased by 500, which resulted in

the airplane beginning its decent 500 feet higher.

Transformations– 50 PointsQUESTION:Students are selling hats to raise money. There are some hats left over from last year, and 20 boxes of hats will be ordered this year. When the order arrives, the total number of hats the students have can be determined by using the function f(x) = 48x+37, where x represents the number of boxes ordered. If the number of hats per box changes so that the situation is modeled by the function g(x) = 24x+37, how many fewer hats will the students’ have to sell if they still order 20 boxes?

A. 20 hatsB. 24 hatsC. 480 hats D. 960 hats

ANSWER:• C – plug in 20 for x and subtract g(x) from f(x)

Parallel/Perpendicular– 10 Points

QUESTION:• Parallel line have slopes that are

_____________________________.

ANSWER:

• The same or equivalent

Parallel/Perpendicular– 20 Points

QUESTION:

• Write the equation of the line 5x-2y=20 in slope-intercept form (solve for y).

ANSWER:

Parallel/Perpendicular– 30 Points

QUESTION:• Write the equation of a line parallel to the line y=2x-6

that goes through the point (2, -1).

ANSWER:• – use point-slope form.• Bonus points – write this equation in slope-intercept form • (extra 30 points) – click on title to reveal answer!

𝑦=2 𝑥−5

Parallel/Perpendicular– 40 Points

QUESTION:

• Determine whether the line y=2x - 4 is parallel, perpendicular, intersecting, or coinciding to the line that contains the points (8, 4) and (6, 5).

ANSWER:

• The line will be PERPENDICULAR because the slope between the given points is -1/2

Parallel/Perpendicular – 50 Points

QUESTION:

• Write an equation for a line that is perpendicular to .

ANSWER:

Chance– 10 Points

QUESTION:

In the equation for slope-intercept form of an equation, solve for x. y = mx + b

ANSWER:•x

Chance– 20 Points

QUESTION:• Is (-6, -6) a solution to the given inequality?

ANSWER:

• Yes – it falls in the shaded area.

Chance– 30 Points

QUESTION:• Which graph best

represents the inequality ?

ANSWER:• Solve for y - . This matches graph C.

Chance– 40 Points

QUESTION:• The area of a trapezoid is 64cm². One of the bases is

10 cm and the height is 4 cm. What is the length of the other base?

ANSWER:• 22. The formula for the area of a trapezoid is . Since we know

one of the bases, the height, and the area, we can solve for the other base.

Chance – 50 Points

QUESTION:When the inequality symbol is ≤ or ≥, the line is ________________________. When the inequality symbol is < or >, the line is ________________________.Shade ____________ the line with inequality symbols ≤ or <. Shade ____________ the line with inequality symbols ≥ or >.

ANSWER:• Solid• Dashed• Below• Above