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Mid-term review 1B

Total questions: 79

Worksheet time: 3hrs 12mins

Name
Class
Date
1.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
2.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
3.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
4.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
5.
Juan bought a soda for $2. He also bought some nachos for $3 each. Juan did not spend more than $14 on the nachos and the soda. Write an inequality can be used to find n, the number of nachos that Juan could have bought.
a)
14≥2n+3
b)
2+3n≤14
c)
14-3n≤2
6.

4x - 4 ≥ -20

a)

x ≥ -6

b)

x ≥ -4

c)

x ≤ -4

d)

x ≤ -6

7.

-3 +6b < 21

a)

b < 4

b)

12 > b

c)

b > 12

d)

b > 4

8.

Solve for u.

u/7 – 1 ≤ 1

a)

14 ≥ u

b)

14 ≤ u

c)

u ≤ 14

d)

u ≤ -14

9.

x/4 + 2 > -3

a)

x < -20

b)

x > -20

c)

x > 20

d)

x < 20

10.
Match the graph with its inequality.
a)
a > 11
b)
a< 11
c)
 a ≥ 11
d)
 a ≤ 11
11.
what is the absolute value of -|14|?
a)
14
b)
21
c)
33
d)
-14
12.
what is the absolute value of -|24|? 
a)
-24
b)
24
c)
98
d)
11
13.
What is the absolute value of |55|?
a)
-55
b)
45
c)
55
d)
--55
14.
What is the absolute value of | 8 |?
a)
8
b)
-8
c)
0
d)
16
15.
Solve the absolute value equation. 
a)
{7}
b)
{-7, 7}
c)
{0, 7}
d)
No Solution
16.
|8 - 4x| = 16
a)
x = -2, x = -6
b)
x = 2 , x = 24
c)
x = -2, x = 6
d)
No Solution
17.
Is this function linear or non linear?
a)
Linear
b)
Non Linear
18.

Describe the following graph.

a)

Increasing

b)

Decreasing

c)

Vertical

d)

Horizontal

19.

Does the graph represent a linear function, a non-linear function, or is it not a function?

a)

Linear Function

b)

Non-Linear Function

c)

Not a Function

20.

Does the graph represent a linear function, a non-linear function, or is it not a function?

a)

Linear Function

b)

Non-Linear Function

c)

Not a Function

21.

Is the graph pictured a linear or nonlinear function?

a)

Linear

b)

Nonlinear

22.

Is this function linear or nonlinear?

a)

Linear function

b)

Nonlinear function

23.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

24.
Is the equation linear or nonlinear?
a)
Linear
b)
Nonlinear
25.
Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  Which equation matches this situation?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
26.
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
27.
A bag of candy was shared equally among 4 friends.  Each friend gave away 7 pieces of candy.  They each ended up with 8 pieces of candy.  Write an equation to find how much candy was in the bag at the beginning.
a)
c/7 - 4 = 8
b)
c/4 + 7 = 8
c)
4/c - 7 = 8
d)
c/4 - 7 = 8
28.
 A computer printer can print 10 pages per minute. There were already 35 pages in the tray.  The total pages printed was 115 pages. How many minutes has the printer been running?
a)
8
b)
9
c)
7
d)
10
29.
Ty entered the elevator on the 10th floor. He rode up 3 floors, down 7 floors, up 2 floors, down 5 floors and up 6 floors, where he got off. On what floor did Ty get off the elevator?
a)
6th floor
b)
7th floor
c)
8th floor
d)
9th floor
30.
It is -1°F   at Barb's house and 3 degrees colder where her uncle lives. What is the temperature at her uncles house?
a)
−2°F
b)
2°F
c)
−4°F
d)
4°F
31.
Solve    -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
32.
Solve    2x -7 = -23
a)
-8
b)
8
c)
-7
33.

Middletown High School has student elections every year. Lately, the school has seen a 5% decrease in voting from election to election. If 910 students voted this year, how many will be expected to vote 8 years from now? (Round to the nearest whole number if necessary).

a)

604

b)

777

c)

29

d)

198

34.

More and more people are purchasing food from farmers' markets. As a consequence, a market researcher predicts that the number of farmers' markets will increase by 15% each year. If there are 6,200 farmers' markets this year, how many will there be in 10 years? (Round to the nearest whole number if necessary).

a)

25,082

b)

12,937

c)

62,000

d)

43,511

35.

A publishing industry report predicts that magazine subscriptions will drop by 10% each year. If this prediction is correct, then how many subscribers will a magazine with 98,000 subscribers have in 10 years? (Round to the nearest whole number if necessary).

a)

34,170

b)

16,348

c)

7690

d)

76,023

36.

Jenny has $20 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much interest will she earn in 2 years?

a)

$2.05

b)

$45.79

c)

$1.99

d)

$7.51

37.

Lauren has $90 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much will she have in 2 years?

a)

$99.23

b)

$21.98

c)

$56.46

d)

$9.21

38.

A cliff overlooking Oak Grove Lake is experiencing erosion, losing elevation at a rate of 5% every millennium. The cliff's current elevation is 1,200 meters. What will its elevation be in 6 millennia? (Round to the nearest whole number if necessary).

a)

882

b)

465

c)

349

d)

975

39.

Kelsey deposited $30 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much interest will she earn in 3 years?

a)

$9.93

b)

$2.01

c)

$17.60

d)

$5.75

40.

Thanks to its environmental initiatives, Silvergrove has cut its annual CO2 emissions by 5%. This year, the town produced 290,000 metric tons of emissions. If the downward trend continues, how much CO2 will be produced 7 years from now? (Round to the nearest whole number if necessary).

a)

202,518

b)

135,792

c)

78,376

d)

20,658

41.

The mice population is 25,000 and is decreasing by 20% each year. What will be the mice population after 3 years?

a)

12,800

b)

15,777

c)

102, 475

d)

2,500

42.

Your new computer cost $1500 but it depreciates in value by about 18% each year. How much will your computer be worth in 6 years? (Round to the nearest cent.)

a)

$456.01

b)

$556.98

c)

$778.22

d)

$332.63

43.

What is the degree of P(x) = x - 2x3 + 7x2 + 5?

a)

1

b)

2

c)

3

44.

What is the degree of P(x) = (x)(x - 4)

a)

0

b)

1

c)

2

45.
Simplify:
a)
9n3 + 4n
b)
7n3 + 6
c)
-3n3 + 2
d)
7n6 + 6
46.
(4x3-5x2+3x)+(-2x3-x2+6x)
a)
2x3-6x2-9x
b)
2x3+6x2+9x
c)
-2x3-6x2+9x
d)
2x3-6x2+9x
47.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
48.
Add or Subtract to Simplify:
 (x + 2x2) + (4x2 + 7x)
a)
6x2 + 8x
b)
8x2 + 6x
c)
2x2 + 6x
d)
2x2 + 8x
49.
Add or Subtract to Simplify:
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
50.
Add or Subtract to Simplify:
(5x + x2 - 4) - (4x - x2 + 6)
a)
2x2 + x + 2 
b)
x + 2
c)
2x2 + x - 10 
d)
x - 10 
51.

(34)(37)

a)

328

b)

33

c)

3-3

d)

311

52.
(x8)(x-5)
a)
x-40
b)
x-13
c)
x13
d)
x3
53.
(58) / (53)
a)
55
b)
15
c)
511
d)
111
54.
(v-5) / (v-9)
a)
v-14
b)
v4
c)
1/v4
d)
1/v14
55.
(85)3
a)
88
b)
815
c)
82
d)
1/82
56.
(t-6)-5
a)
t-11
b)
t-30
c)
t30
d)
t11
57.
x-42
a)
142/x
b)
x42/1
c)
x/142
d)
1/x42
58.
4-8
a)
18/4
b)
48/1
c)
4/18
d)
1/48
59.
70
a)
71
b)
01
c)
1
d)
7
60.
(3x)0
a)
(3x)1
b)
01
c)
1
d)
3x
61.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
62.
Simplify the following expression: 
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
63.
  Simplify
 (2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
64.
 Simplify
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
65.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
66.

Solve 24 > -3r > -9 

Solve for r

create 2 inequalities, one with 24 as the answer and one with -9 as the answer.

a)
-8 < r < 3
b)
-8 > r > 3
c)
r > - 8 and r > 3 
d)
r > -8 or r < 3
67.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
68.

-2 < x - 9 < 3

a)

x < 12

b)

7 < x

c)

7 < x < 12

69.

2 < 3x - 12 < 5

a)

143 < x < 173\frac{14}{3}\ <\ x\ <\ \frac{17}{3}

b)

314 < x < 317\frac{3}{14}\ <\ x\ <\ \frac{3}{17}

c)

4 < x <34\ <\ x\ <3

d)

42 < x < 5142\ <\ x\ <\ 51

70.
Solve 24 > -3r > -9 
a)
-8 < r < 3
b)
-8 > r > 3
c)
r > - 8 and r > 3 
d)
r > -8 or r < 3
71.
x + 8 < 3 or - 8x < -40 
a)
x > -5 or x < 5
b)
x < -5 and x > 5
c)
x < -5 or x > 5 
d)
x > -5 and x < 5 
72.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
73.
Write an inequality for Graph 2.
a)
-2 ≤ x < 5
b)
x ≤ -2 AND x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
74.
0 < x + 7 < 9
a)
-7<x   and   x<2
b)
-7<x   or   x<2
c)
-7>x   and   x>2
d)
-7>x  or   x>2
75.
a)
A
b)
B
c)
C
d)
D
76.
3x-4< -13 or 7x+1> 22
a)
All Real numbers
b)
  x>3   and x>-9
c)
The answer is not listed
d)
x<-3   or x>3
77.

Which compound inequality is graphed above?

a)

x >5 OR x< -2

b)

x >5 OR x> -2

c)

x< 5 AND x> -2

d)

x ≥5 AND x< -2

78.

Solve the following compound inequality:

−4x + 1 ≤ 21 and 5x + 2 < 22

a)

x > −5 or x ≤ 4

b)

x ≥ −5 or x < 4

c)

x > −5 and x ≤ 4

d)

x ≥ −5 and x < 4

79.

What inequality is graphed?

a)

x > 2 and x ≤ −3

b)

x > 2 and x < −3

c)

x > 2 or x ≤ −3

d)

x > 2 or x < −3

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