Free Printable IM2 Virtual Day 11/14

1.

Mike's goal is to run at least 400 miles. To date, he has run 125 miles. He runs 5 miles per day. The inequality below represents how many more days Mike will need to run to achieve his goal.

$125\ +\ 5x\le400$

Which statement best describes what he needs to achieve his goal?

a)

He needs to run 125 days.

b)

He needs to run 55 or less than 55 days.

c)

He needs to run 55 or more days.

d)

He needs to run more than 55 days.

2.

What is the value of $\left|x+3\right|+x^3$ when x = -4

a)

-65

b)

-63

c)

-57

d)

-11

3.

Three monomials are shown below.

$7x^2y$ $14xy^2$ $14x^2y$

Which is the least common multiple (LCM) of all three monomials?

a)

$28^2y^2$

b)

$28xy^2$

c)

$14x^2y^2$

d)

$7x^2y^2$

4.

Jason is solving the equation shown below.

$3x+\left(-8x+9\right)=29$

This was his first step: $\left(3x-8x\right)+9=28$

Which property did Jason use for the first step?

a)

Distributive Property

b)

Associative Property

c)

Commutative Property

d)

Additive Inverse Property

5.

A compound inequality is shown below.

$-12<-2y+8<32$

What is the solution of the compound inequality?

a)

$-10<y<12$

b)

$-12<y<10$

c)

$-12>y>10$

d)

$12>y\ \ or\ y<-10$

6.

Michael rented a car for one day at a daily rate of $42. He also had to pay $0.55 per mile driven, but there were no other fees. If Michael return the car at the end of day and paid $114.60, how many miles did he drive?

a)

128

b)

132

c)

136

d)

140

7.

Compare the real numbers shown below.

$\sqrt[]{64\ }\ \ \ \frac{124}{12}\ \ \ \ 10.25\ \ \ \ \ -213$

Which is the greatest value?

a)

$\sqrt[]{64}$

b)

$\frac{124}{12}$

c)

$10.25$

d)

$-213$

8.

A polynomial expression is shown below.

$\left(8x^2+2\right)\left(3x^2+6\right)-\left(9x^3-4x^2+3\right)$

Once the polynomial is simplified, what will be the coefficient of the $x^2$ term?

a)

15

b)

28

c)

58

d)

62

9.

Kelsey bought x shirts and y pants. She spent a total of $120. The equation below shows the relationship between the number of shirts and the number of pants purchased.

$15x+30y=120$

The ordered pair (4,2) is the solution to the equation. What does the solution represent?

a)

Kelsey bought 4 pairs of pants and 2 shirts

b)

Kelsey bought 15 shirts and 30 pairs of pants.

c)

Kelsey bought 4 shirts and 2 pairs of pants.

d)

Kelsey paid $4 for a shirt and $2 for a pair of pants.

10.

Which expression is the simplified form of $\sqrt[]{48}$

a)

$6\ \sqrt[]{8}$

b)

$4\ \sqrt[]{3}$

c)

$2\ \sqrt[]{24}$

d)

$3\ \sqrt[]{6}$

11.

Three monomials are shown below.

$25a^2bx\ \ \ 15b^2cx^{3\ }\ \ \ \ 30ab^3cx^2$

What is the greatest common factor (GCF) of all three monomials?

a)

$5ab^2x^3$

b)

$5bx$

c)

$15abcx$

d)

$30a^2b^3cx^3$

12.

What is the value of $2m\ +\ 5n^2\$ when m = -18 and n = 11?

a)

19

b)

91

c)

569

d)

641

13.

Paul has 100 coins in a jar, and they are all dimes or nickels. Their total is $8.10. The system below represents this situation.

d + n = 100

0.1d + 0.05 n = 8.10

How many dimes, d, does Paul have in his jar?

a)

38

b)

40

c)

60

d)

62

14.

To fix a broken pipe, a plumber charges a service fee of $45 and an hourly rate (h) of $30. The total charges (c) can be represented by the equation $c=45+30h$ . Which statement is true?

a)

If it takes the plumber 3 hours to fix the pipe it would cost $78.

b)

The total cost for fixing the pipe is $75.

c)

If it takes the plumber 3 hours to fix the pipe, it would cost $165.

d)

If the plumber charged $105, it took him 2 hours to fix the pipe.

15.

Which graph represents a function?

a)

b)

c)

d)

16.

Thirty ninth graders responded to a survey about how many hours they spend on the computer for one week. The results are shown in the box-and-whisker plot.

What is the interquartile range of the results shown?

a)

7

b)

11

c)

18

d)

30

17.

Which relation is not a function?

a)

(2,3), (4,5), (6,7), (8,9)

b)

(0,2), (1,3), (2,4), (3,4)

c)

(2,5), (3,9), (4,12), (5,15)

d)

(5,1), (10,2), (15,3), (15,4)

18.

A theme park opened at 8:00 am. During the first hour, the number of tickets sold is recorded in five minute intervals.

Which is the best estimate for the number of tickets sold around 9:10 am based on the line of best fit?

a)

5

b)

15

c)

25

d)

30

19.

Parker's pizza sells basic cheese pizza for $6.00. The total amount charted for a pizza (p) is based on the cost for a cheese pizza plus an additional charge that depends on the number of toppings (t). This can be represented by $p=1.25t+6$ . What does the number 1.25 mean in the equation?

a)

The cost of all the toppings

b)

The cost of pizza with 6 toppings

c)

The cost of each topping

d)

The cost of each pizza with 1 topping

20.

A line has a slope of -2 and goes through the point (-4,5). Which equation represents this line?

a)

y = -2x - 4

b)

y = -2x + 5

c)

y = -2x + 1

d)

y = -2x - 3

21.

Joe's Sandwich Shop recorded the number of customers who ate lunch there each day for 20 days.

The range of the data is 29. What number of customers is represented by the question mark in the stem-and-leaf plot?

a)

21

b)

76

c)

78

d)

79

22.

Mrs. Jackson summarized the quiz scores for the last science quiz on the box and whisker plot. Twenty students took the quiz.

Which statement is true about the science quiz scores?

a)

About 75% of the students scored between 60 and 90 on the quiz.

b)

Ten students scored between 60 and 90.

c)

25% of the students scored over 60.

d)

More than 5 students scored higher than 90 on the quiz.

23.

A function is shown in the table.

Which equation represents this function?

a)

y = 5x - 7

b)

y = 18x -2

c)

y = 19x - 12

d)

y = 20x - 32

24.

Chen is listening to songs on his music player. He has 2 hip-hop, 3 grunge, 1 classic rock and 2 alternative songs. In shuffle mode, each song is randomly chosen from all 9 songs on the playlist. The songs can be played more than once. What is the probability that Chen will hear a hip-hop song followed by a classic rock song?

a)

$\frac{1}{8}$

b)

$\frac{3}{8}$

c)

$\frac{1}{32}$

d)

$\frac{1}{64}$

25.

Consider the following equation.

$y=4-\frac{x}{2}$

What is the slope of the line?

a)

-2

b)

$-\frac{1}{2}$

c)

$\frac{1}{2}$

d)

2

26.

Hint: What is the greatest amount of x's and y's the two monomials have IN COMMON????

a)

A

b)

B

c)

C

d)

D

27.

Where did Wyatt make a mistake?

a)

A

b)

B

c)

C

d)

D

28.

a)

A

b)

B

c)

C

d)

D

29.

a)

A

b)

B

c)

C

d)

D

30.

a)

A

b)

B

c)

C

d)

D

31.

a)

A

b)

B

c)

C

d)

D

32.

a)

A

b)

B

c)

C

d)

D

33.

a)

A

b)

B

c)

C

d)

D

34.

a)

A

b)

B

c)

C

d)

D

35.

a)

A

b)

B

c)

C

d)

D

36.

**Remember the difference between a DASHED and SOLID boundary line!

a)

A

b)

B

c)

C

d)

D

37.

a)

A

b)

B

c)

C

d)

D

38.

a)

A

b)

B

c)

C

d)

D

39.

a)

A

b)

B

c)

C

d)

D

40.

a)

A

b)

B

c)

C

d)

D

41.

a)

A

b)

B

c)

C

d)

D

42.

a)

A

b)

B

c)

C

d)

D

43.

a)

A

b)

B

c)

C

d)

D

44.

a)

A

b)

B

c)

C

d)

D

45.

a)

A

b)

B

c)

C

d)

D

IM2 Virtual Day 11/14

Total questions: 45

Worksheet time: 23hrs 30mins

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