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NMS Standard Final 1st Semester (19-20)

Total questions: 56

Worksheet time: 2hrs 52mins

Name
Class
Date
1.

Distribute and simplify  −13(9x + 18)-\frac{1}{3}\left(9x\ +\ 18\right)  

a)

-3x + 6

b)

3x + 6

c)

3x - 6

d)

-3x - 6

2.

Consider the inequality  3x+24>−20\frac{3x+2}{4}>-20  
What is the solution to the inequality?

a)

 x>−29.3x>-29.3  

b)

 x>−27.3x>-27.3  

c)

 x>−8.7x>-8.7  

d)

 x<−27.3x<-27.3  

3.
Which graph represents the inequality  6 > x
a)
A
b)
B
c)
C
d)
D
4.
Pick the correct inequality.
a)
x < -6
b)
x ≥ -6
c)
x > -6
d)
x ≤ -6
5.
You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95. Write and solve an inequality that represents how much more you must spend to get free shipping. 
a)
X > 5.05
b)
X ≥ 5. 05
c)
X > 69.95
d)
X ≥ 69.95
6.
Which of the following inequalities would require you to flip the sign when solving?
a)
2x < 3
b)
3x > - 9
c)
-4x ≥ 10
d)
5x ≤ 15
7.
Melissa wants to spend no more than $300 on school clothes. She spends $75 on a coat and then wants to buy some sweaters that are on special for $10 each. Write an inequality to show how many sweaters Melissa can buy. DO NOT SOLVE
a)
75x-10 ≥ 300
b)
75+10 ≤ 300x
c)
10x ≥ 300
d)
75+10x ≤ 300
8.

Which scenario could be represented by the graph?

a)

The temperature is less than -1 degree.

b)

The temperature is more than -1 degree.

c)

The temperature is at most -1 degree.

d)

The temperature is at least -1 degree.

9.
Find the difference:
(2x + 7) - 3(5x - 4)
a)
-13x - 5
b)
17x + 5
c)
17x + 5
d)
-13x + 19
10.
 -4(3x - 2y) – (5x + 18y)
a)
-17x - 10y
b)
-17x + 10y
c)
-7x - 8y
d)
7x + 8y
11.

-6(2x - 8y) - (4x + 3y)

a)

-16x + 45y

b)

-8x - 51y

c)

-16x - 51y

d)

-8x + 45y

12.
A cell phone company charges $3.00 to make a phone call plus $0.15 for each minute for each minute you talk. Which equation would you use to determine the total cost, c, of a phone call that is m number of minutes long?
a)
c = 3.00 - 0.15m
b)
c = 0.15 + 3.00m
c)
3.00 = c + 0.15
d)
c = 3.00 + 0.15m
13.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
14.
-2x-7+3x=10
a)
x=-2
b)
x=3
c)
x=10
d)
x=17
15.
El Rodeo School has 837 students. El Rodeo School has 78 more students than Hawthorne. How many students are there at Hawthorne School? Write an equation that could be used to solve this problem.  
a)
837 + 78 = x
b)
x - 837 = 78
c)
x - 78 = 837
d)
x + 78 = 837
16.
At Costco, 32 cans of Coke cost a total of $8.96. What is the cost per can? Write an equation that could be used to solve this problem.  
a)
8.96x = 32
b)
32x = 8.96
c)
8.96/x = 32
d)
x/8.96 = 32
17.
Which equation represents the total cost of a repair by an electrician after x hours?
An electrician charges $90 per hour plus a $50 travelling fee.
a)
y = 50 - 90x
b)
y = 90x + 50
c)
y = -50x + 90
d)
y = -90 - 50x
18.
A square has a side measure of x + 3. What does x equal if the perimeter is 36?
a)
6
b)
7
c)
8
d)
9
19.

Which diagram correctly models how to solve -4+|-8|

a)
b)
c)
d)
20.

What is the value of - |5| + |–2|?

a)

7

b)

-7

c)

3

d)

-3

21.

A recipe for muffins needs ¾ a cup of milk. You are making ½ of the recipe. How much milk do you need?

a)
b)
c)
d)
22.

Ms. Grimes is grading student responses for the same math problem. Below are four student responses. Which student is different than the rest

a)
b)
c)
d)
23.

The price of a share of stock for company XYZ at the beginning of the week was $24.75. Over the next five days, the share of stock gained $2.50 on Monday, lost $3.25 on Tuesday, lost $0.75 on Wednesday, gained $1.25 on Thursday, and gained $4.75 on Friday.

What was the price of the share of stock at the end of Friday?

a)

$37.25

b)

$24.50

c)

$29.25

d)

$20.25

24.

1. At 5:00 a.m., the temperature outside was 6°F below zero. By noon, it rose by 15°F. At 7:00 p.m., the temperature dropped by 5°F. What was the evening temperature?

a)

-26°F

b)

4°F

c)

14°F

d)

26°F

25.

Lindsay is playing a video game. She begins with an initial score of 500 points but loses 280 points throughout the game. She represents her score using the expression below.

500 - 280

Which expression also represents Lindsay’s video game score?

a)

280 – 500

b)

280 + 500

c)

500 – (-280)

d)

500 + (-280)

26.

DeShawn plans on raising a total of $1,000 for a local charity. His goal is to raise three-fifths of that money by the end of the month. DeShawn was only able to raise 5/6 of his goal for this month. How much money did DeShawn actually raise?

a)

$400

b)

$500

c)

$600

d)

$833

27.

The variable b = −3, and the variable c = 6. A dot has been placed to indicate the location of 2 on the number line below. Identify where 2 + b and 2 + c are located on the number line.

a)

1 and -8

b)

-5 and 8

c)

-1 and 8

d)

5 and -8

28.

10x + 9 = 4x - 9 How many solutions?

a)

no solution

b)

infinitely many

c)

one solution

d)

two solutions

29.

3 + 12(3p + 2) = 9(p - 3) How many solutions?

a)

two solutions

b)

three solutions

c)

one solution

d)

no solution

30.

How many solutions

-5(x+7)=-5x+35

a)

No Solution

b)

Infinitely many

c)

one

d)

five

31.

Solve. Use a T-chart.

6(4x+2)= 3(8x+4)

a)

Infinitely Many

b)

No Solution

c)

one solution

d)

two solutions

32.

Which size can of soup shown in the table has the lowest unit price?

a)

10 oz

b)

15 oz

c)

18 oz

d)

32 oz

33.

A dessert recipe calls for 2 12\frac{1}{2}   cups of milk and makes 5 servings. How many cups of milk are needed for 8 servings?

a)

 3123\frac{1}{2}  cups

b)

4 cups

c)

 4124\frac{1}{2}  cups

d)

7 cups

34.

What does the point (1, 3) represent on the graph?

a)

It shows for every 1 item produced the revenue is $3.

b)

It shows that for every 3 items produced the revenue is $1.

c)

It shows that for every 300 items produced the revenue is $100.

d)

It shows that the revenue is a constant rate of $1.

35.

What is the constant rate of change (slope) for line f?

a)

4

b)

14\frac{1}{4}

c)

12\frac{1}{2}

d)

2

36.

The scale of a map is 1 ¼ inches = 100 miles. On the map, two rivers are 4 ½ inches apart. What is the distance in miles between the two rivers?

a)

275

b)

360

c)

375

d)

412

37.

Which of the following is true?

a)

It shows for every 1 quantity produced the revenue is $3

b)

It shows that for every 3 quantities produced, the revenue is $1

c)

It shows that for every 300 quantity produced, the revenue is $100

d)

It shows that the revenue is a constant rate of $1

38.

Selena babysits on the weekends. The equation y = 12x represents the amount of money she earns for every hour, x, she babysits. What is the constant of proportionality?

a)

1

b)

6

c)

12

d)

24

39.

Leo jarred 14 liters of jam after 2 days. How many days does Leo need to spend making jam if he wants to jar 21 liters?

a)

7

b)

3

c)

24

d)

147

40.

A map scale shows 3¼ inches is equivalent to 29¼ feet. If the length of a river is 5 inches, how long is the river?

a)

45 feet

b)

95 feet

c)

16.25 feet

d)

0.5 feet

41.

Find the constant rate of change.

a)

$50 per hour

b)

$25 per hour

c)

$12.50 per hour

d)

The data does not show a constant rate of change.

42.
A machine packs boxes at a constant rate of 2/3 a box every 1/2 a minute.  What is the number of boxes it packs per minute?
a)
1/3 box per minute
b)
3/4 box per minute
c)
7/6 box per minute
d)
One and 1/3 box per minute
43.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
44.
You can buy 36 cookies for $4. What is the unit rate (in cookies per dollar)?
a)
4 cookies per dollar
b)
6 cookies per dollar
c)
9 cookies per dollar
d)
1/9 dollars per cookie
45.
Which line shows a proportional relationship between x and y?
a)
Line L
b)
Line M
46.
Which color car represents a proportional relationship between the miles traveled and the hour traveled?
a)
Red car
b)
White car
c)
Both cars
d)
None of the cars
47.

The speed of a car is shown in the graph.

The speed of a truck is represented by the equation y = 60x.

Which vehicle had a greater rate of change?

a)

car

b)

truck

c)

the car and truck had the same rate of change

d)

there is not enough information given to determine which vehicle had a greater rate of change

48.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
49.

Cameron's income is shown on the graph.

Joe makes $30 every hour.

Which of the following is true?

a)

Joe gets paid about double what Cameron gets paid.

b)

Cameron gets paid about double what Joe gets paid.

c)

Joe gets paid three times more than Cameron.

d)

Joe and Cameron get paid about the same amount per hour.

50.
Solve for x 
a)
x = 1/10
b)
x = 10
c)
x = 4
d)
x = 5
51.
a)
27
b)
12
c)
1.333
d)
3.67
52.

Which is the better buy? A 12-pack of Pepsi for $3.50 or a 6-pack for $1.80?

a)

The 12-pack

b)

The 6-pack

c)

They're the same

d)

Neither, I prefer Coke

53.
Determine what type of slope is portrayed in the image
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
54.
Determine what type of slope is portrayed in the image
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
55.
Determine what type of slope is portrayed in the image
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
56.
Determine what type of slope is portrayed in the image
a)
Positive
b)
Negative
c)
Zero
d)
Undefined

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