Free Printable ACC Semester 2 Practice

Worksheets

ACC Semester 2 Practice

Total questions: 50

Worksheet time: 2hrs 10mins

Name

Class

Date

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation? Use x as the number of haircuts; use y as the number of hair dyes.

3x + 2y = 315

2x + 4y = 450

3x + 2y = 450

2x + 4y = 315

2x + 2y = 315

3x + 4y = 450

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. Which equation shows how much the YOUNGER brother spent using x as the shirt price and y as the shorts price.

13x + 14y = 175

7x + 7y = 175

6x + 7y = 165

7x + 7y = 165

Erica has $14 and plans to save $5 each week until she has the $64 she needs for a new jacket. How many weeks will it take Erica to save money for a new jacket? Use w as the number of weeks.

5 + 14w = 64

14 + 5w = 64

19w = 64

5w - 14 = 64

This system has _____ solutions

Infinitely many

There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has? Use d to represent the number of donkeys. Use c to represent the number of chickens.

d + c = 174

4d + 2c = 50

d + c = 50

4d + 2c = 174

d + c = 50

2d + 4c = 174

d + c = 174

2d + 4c = 50

The prices of two gyms are graphed. Which statement below best represents the solution?

Both gyms cost $90 for 10 classes

Both gyms cost $10 for 90 classes

Both gyms charge $60 to start

Both gyms cost $20 before taking any classes.

Lisa and Tammy are selling items at the craft show. Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?

(1, 12)

(3, 19)

(5, 25)

(0, 10)

What is the solution?
(Hint: Both lines are graphed over each other)

One Solution

No solution

Infinitely Many Solutions

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation for x amount of people who bought the chicken and y people who bought the steak?

x + y = 6
14.80x + 17y = 91

x + y = 91
14.80x + 17y = 6

x + y = 6
14.80y + 17x = 91

x + y = 91
14.80x+ 17y = 6

10.

^{What is the solution?}

-2

(1, 2)

(1, -1)

11.

Parallel Lines never intersect because... (choose all that apply)

they have the same slopes.

they have the same y-intercept.

they have different slopes.

they have different y-intercepts.

12.

What is the solution to this system?
y= 4x + 3
2x - 3y = 21

(3,-9)

(-3,-9)

(-3,9)

(0,1)

13.

14.

Is this function linear or nonlinear?

Linear

Nonlinear

15.

Is the function Linear or Nonlinear?

Linear

Nonlinear

16.

17.

What is the slope?

m= -2/3

m=3/2

m=-3

m=2

18.

Find the slope given the following points: (5,1) and (3,1)

m=1/4

m=0

m=1

m=undefined

19.

Write in slope intercept form given the slope: m=3 and y int: -2

y=3x-2

y=2/3x

y=-2x+3

y=3x

20.

Find slope:

m= 4

m=1/4

m=-4

m=-1/4

21.

Find the slope between the two given points: (-2,1) and (5,7)

7/6

6/7

-2

22.

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

y = 3x + 2.5

y = 2.50x + 3

y = 2.50x

y = 3x + 2.50

23.

_{What is the y-intercept of the line?}

y = 1/2

y = 1

y = -1/2

y = -1

24.

What is the y-intercept?

25.

Which situation can be represented by
y = 17x - 8?

The number of seeds, y, needed to feed 8 hamsters 17 seeds each.

The earnings from a lemonade stand, y, selling glasses at 17 dollars each with $8 in the tip jar.

The cost, y, of buying 17 movie tickets that sell for $8 each.

The cost, y, of buying Star Wars figurines at $17 each with an $8 discount.

26.

Mr. Cabs has a gold membership at the local pet store to buy cheap mice to feed to his iguanas. The function y = 50 + 0.75x can be used to find the cost of purchasing the gold membership and buying x mice from the store. Based on this information, which statement about the graph of this situation is true?

The y-intercept represents the number of mice Mr. Cabs purchased from the store.

The slope of the line represents the cost of purchasing the gold membership.

The y-intercept represents the cost of purchasing the gold membership.

The slope of the line represents the total number of mice purchased by Mr. Cabs.

27.

Which set of values is a function?

(9,5) (10,5) (9,-5) (10,-5)

(3,4) (4,-3) (7,4) (3, 8)

(6,-5) (7, -3) (8, -1) (9, 1)

(2, -2) (5, 9) (5, -7) (1, 4)

28.

Is the relation a function? Why.

Yes, because the x-value 11 has two y-values pair with it.

Yes, because each x-value has only one y-value paired with it.

No, because the x-value 11 has two y-values pair with it.

No, because each x-value has only one y-value paired with it.

29.

Function

Not a Function

30.

Function

Not a Function

31.

Find the length of the missing side.

17 cm

22 cm

15 cm

13 cm

32.

Find the length of the missing side.

25 cm

42 cm

52 cm

48 cm

33.

Find the length of the missing side.

20 in.

68 in.

16 in.

80 in.

34.

_{^{Find the missing side}}

108

83.6

35.

Which set of sides would NOT make a right triangle?

4,5,6

8,10,12

5,8,13

5,10,12

36.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

17 miles

32 miles

37 miles

40 miles

37.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

25 feet

26 feet

27 feet

28 feet

38.

What is the type of correlation?

Negative

no association

positive

39.

What type of correlation does this graph have?

positive

negative

none

all of the above

40.

What type of correlation does this graph have?

positive

negative

none

all of the above

41.

What type of correlation does this scatter plot show?

positive linear association

negative linear association

no association

nonlinear association

42.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 140 pages.

12 chapters

19 chapters

14 chapters

21 chapters

43.

You are analyzing a scatter plot that has a negative correlation. What is true of the of the x and y values?

As x increases, y decreases

As x increases, y increases

As x decreases, y decreases

44.

Write an equation for this relationship.

y=1/5x

y=1/2x

y=2x

y=5x

45.

Which line shows a proportional relationship between x and y?

Line L

Line M

46.

What is the unit rate in this proportional relationship?

60 miles/1 hour

120 miles/ 2 hours

1 mile/ 1 hour

47.

Which statement best describes the relationship between x and y in the table?

Proportional

Not Proportional

48.

The cost of 4 pounds of grapes is $24.36. What is the constant of proportionality the relates cost in dollars, y, to the number of pounds of grapes, x?

6.09

20.36

8.12

28.36

49.

Does this graph represent a proportional relationship?

No, because it doesn't pass through the origin.

Yes, because it doesn't pass through the origin.

Yes, because it intersects the y axis.

No, because it intersects the x axis.

50.

Which one is correctly written ratio sentence for the constant in the equation: W = 2c.

For every 2 watermelons, there is 1 child.

W = watermelon and c=children

For every 2 children, there is 1 watermelon.

Every child gets a watermelon.

100 %

ACC Semester 2 Practice

Total questions: 50

Worksheet time: 2hrs 10mins

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