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Finals D5: 7th Grade Equations, Triangles, OoO, Inequalities

Total questions: 56

Worksheet time: 3hrs 48mins

Name
Class
Date
1.

An equation is...

a)

a problem that contains at least one variable and at least one operation; no equal sign

b)

a mathematical sentence showing two expressions are equal.

c)

The solution for a variable

d)

The value that results in a true sentence

2.

A solution is...

a)

A variable that results in a true sentence

b)

A mathematical sentence showing two expressions are equal.

c)

Numbers expressed using exponents

d)

The value for the variable in an equation.

3.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
4.

Level 3

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

5.

Level 3

Solve for x

a)

x = 2

b)

x = -2

c)

x = -10

d)

x = 4

6.
WRITE AN EQUATION
You bought a $5 magazine and four
erasers. You spent a total of $25. How
much did each eraser cost?
a)
5+x=25
b)
5+4x=25
c)
5x=25
d)
23-5=4x
7.
WRITE AN EQUATION
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
a)
331=7x+6
b)
331=13x
c)
331=6x+7
d)
331-7=6x
8.
A taxi charges $3, plus $1.50 for each mile traveled.  Mr. Lewis rode in the taxi from his home to the airport and was charged $30.  How many miles does Mr. Lewis live from the airport?
a)
18 miles
b)
20 miles
c)
22 miles
9.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
10.
Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. 
The correct equation was .50x + 20 = 35.
So, how many tickets did she buy?
a)
x = 30
b)
x = 25
c)
x = 35
d)
x = 31
11.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
12.
A taxi charges $3, plus $1.50 for each mile traveled.  Mr. Lewis rode in the taxi from his home to the airport and was charged $30.  How many miles does Mr. Lewis live from the airport?
a)
18 miles
b)
20 miles
c)
22 miles
13.
Terry had his car repaired at Ace Auto.  He was charged $50 per hour of labor plus $150 for parts.  His total bill for the repair before tax was $375.  How many hours of labor was Terry charged for?
a)
2.5 hours
b)
4.5 hours
c)
7.5 hours
d)
10.5 hours
14.
If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...
a)
80
b)
100
c)
60
d)
90
15.
Find the measure of each angle indicated.
a)
62
b)
53
c)
71
d)
50
16.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
17.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
18.
What is the measure of the missing angle?
a)
82
b)
43
c)
55
d)
180
19.

The sum of the lengths of any two sides of a triangle is _____ than the third side

a)

less

b)

greater

c)

equal

20.

Does the sides 8, 9, 10 make a triangle?

a)

yes

b)

no

21.

Does the sides 1, 1, 2 make a triangle?

a)

yes

b)

no

22.

Does the sides 6, 9, 8make a triangle?

a)

yes

b)

no

23.

Does the side 3, 4, 9 make a triangle?

a)

yes

b)

no

24.

Does the sides 12, 4, 17 make a triangle?

a)

yes

b)

no

25.

Does the sides 8, 7, 2 make a triangle?

a)

yes

b)

no

26.

Does the sides 14, 3, 9 make a triangle?

a)

yes

b)

no

27.

Does the sides 12, 18, 2 make a triangle?

a)

yes

b)

no

28.

Does the sides 3, 2, 1 make a triangle?

a)

yes

b)

no

29.

The lengths of two sides are given (8, 5). What are the possible length of the third side? Between what two numbers

a)

Between 5 and 8

b)

Between 3 and 13

c)

Between 3 and 5

d)

Between 5 and 13

30.

The lengths of two sides are given (9, 2). What are the possible length of the third side? Between what two numbers

a)

Between 0 and 2

b)

Between 2 and 9

c)

Between 7 and 11

31.
Simplify:
[25-(13+4)+4] ÷ 3
a)
6
b)
2
c)
3
d)
4
32.
(7 + 41) ÷ 2 – 15
a)
19
b)
9
c)
25
d)
3
33.
18 + (6 – 2) × 2
a)
26
b)
29
c)
44
d)
40
34.
(82 ÷ 2) × 3 – 17
a)
206
b)
100
c)
106
d)
5
35.
15 + 7 × 2 – 11 + 35=
a)
38
b)
251
c)
53
d)
50
36.
15 x 19 + 18 ÷ 6 = 
a)
250
b)
199
c)
400
d)
288
37.

Find and explain the error.

5 - 3 + 2

5 - 5

0

a)

There is no error.

b)

Addition was done first and you should have subtracted first

c)

They added wrong numbers

d)

Multiplied worng

38.

In PEMDAS, what does the M stand for?

a)

Masterful

b)

McDonald

c)

Math

d)

Multiplication

39.
True or false:
Addition ALWAYS comes before subtraction.
a)
True
b)
False
40.
Do I need to flip my sign?
3x  ≥ 12
a)
Yes
b)
No
41.
Do I need to flip my sign?
-3x  ≥ 12
a)
Yes
b)
No
42.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
43.
Solve and graph the inequality.
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
44.
Solve and graph the inequality.
-169 ≤ 8m - 9
a)
A
b)
B
c)
C
d)
D
45.
Solve and graph the inequality.
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
46.
Which number line shows the solution to:
11x + 14 < –8? 
a)
a
b)
b
c)
c
d)
d
47.
Choose the correct graph that best describes the solution for each inequality
5 + x ≥ 29
a)
a
b)
b
c)
c
d)
d
48.
a)
A
b)
B
c)
C
d)
D
49.
a)
A
b)
B
c)
C
d)
D
50.

There are no more than 18 students on the hall.

a)

s>18

b)

s<18

c)

s≤18

d)

s≥18

51.
There are fewer than 150 children at the playground.
a)
c<150
b)
c>150
c)
c≤150
d)
c≥150
52.
At least 25 cats are on my porch.
a)
c<25
b)
c>25
c)
c≤25
d)
c≥25
53.
Grace has $45 at most in her purse.
a)
g<45
b)
g>45
c)
g≤45
d)
g≥45
54.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
55.
a)

A

b)

B

c)

C

d)

D

56.
a)

A

b)

B

c)

C

d)

D

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