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Review: Cycle 4 Quiz 2

Total questions: 66

Worksheet time: 6hrs 52mins

Name
Class
Date
1.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
2.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
3.
X/7 - 4 = -5
a)
X = -7
b)
X = -1/7
c)
X=1/7
d)
X = 7
4.

7x + 4 = -2x + 15

a)

x = 17

b)

x = 24

c)

x = 19/5

d)

x = 11/9

5.

1 − 3x = 2x + 4

a)

x = 5/2

b)

x = -2

c)

x = -3/5

d)

x = 3

6.

10 + 9x = 3x + 8

a)

x = 3/2

b)

x = -1/3

c)

x = 2/5

d)

x = -4/3

7.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
8.
2x + 3(5x - 7) = 47
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
9.

Solve the equation

a)

6

b)

-6

c)

4

d)

-2

10.

Find the value of the unknown variable

a)

A

b)

B

c)

C

d)

D

11.

Find the value of the unknown variable

a)

A

b)

B

c)

C

d)

D

12.

Find the value of the unknown variable

a)

A

b)

B

c)

C

d)

D

13.

Find the value of the unknown variable

a)

A

b)

B

c)

C

d)

D

14.

Find the value of the unknown variable

a)

A

b)

B

c)

C

d)

D

15.

Find the value of the unknown variableA

a)

A

b)

B

c)

C

d)

D

16.

Find the value of the unknown variable

a)

A

b)

B

c)

C

d)

D

17.

Find the value of the unknown variable

a)

A

b)

B

c)

C

d)

D

18.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
19.
Express the following in Interval Notation
 -8 ≤ x < 8 
a)
[-8, 8]
b)
[-8,8)
c)
(-8, 8]
d)
(-8, 8)
20.
Express the following in Interval Notation
 -9 < x ≤ -4 
a)
[-9, -4]
b)
(-9,-4]
c)
[-9, -4]
d)
(-9,-4)
21.
Write the inequality in interval notation.
a)
(-2,5)
b)
(-∞,-2) or (5,∞)
c)
[-2,5]
d)
(-∞,-2] or [5,∞)
22.
Can you use the symbols [ or ]
with infinity?
a)
Yes
b)
No
23.
Look at the picture. Which number line corresponds to [-2, 5]?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
24.
Express the following in Interval Notation
{ x | -9 < x ≤ -4 }
a)
[-9, -4]
b)
(-9,-4]
c)
[-9, -4]
d)
(-9,-4)
25.
Solve the compound inequality, write in Set Builder Notation:
y–3≥ -11 AND y–3 ≤ -8 
a)
{ y | y ≥ 3}
b)
{y | -8 ≤ y ≤ -5}
c)
{ y | y ≥ -8 and y ≥ -5}
d)
{y ≥ -11}
26.
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
27.
Solve:  -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3
28.
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
29.
Solve and graph:
a)
A
b)
B
c)
C
d)
D
30.
Solve:
a)
A
b)
B
c)
C
d)
D
31.

Write an inequality for Graph 3.

a)

5 < x ≤ -2

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

32.
Solve:  -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3
33.
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
34.
x+2<-4 or -5x<-15
a)
-6<x<3
b)
x<-3 and x>6
c)
x<-6 or x>3
d)
No Solution
35.
Solve:  -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3
36.
A-B = C
(solve for A) 
a)
A = C - B
b)
A = C + B
c)
A - C = B
d)
B = A - C
37.
IR = V
(solve for R) 
a)
R = IV
b)
R = I/V
c)
R = V/I
d)
R = V - I
38.
ax + c = R
(solve for x) 
a)
ax = R + c
b)
ax = R - c
c)
x = a(R-c)
d)
x = (R-c) / a 
39.
2h = w-3p
(solve for p) 
a)
p = -(2h - w) / 3
b)
p = (2h - w) / 3
c)
p = -6hw
d)
p = -6h - 3w
40.
F = (GMm) / r2
(solve for G) 
a)
G = (Fr2) / (Mm)
b)
G = FMmr2
c)
Fr2 = GMm
d)
Fr2M2 = G
41.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
42.

Solve for v

C = xv + x

a)

(C-x)/x = v

b)

(C+x)/x = v

c)

(-C-x)/x = v

d)

(Cx)/x = v

43.
a)
(2.5+h)f
b)
g=1
c)
f(5+h)/2
d)
(5f+h) / 2
44.

Solve for h

V = πr²h for h

a)

V/(πr²) = h

b)

V - πr² = h

c)

V + πr² = h

d)

V/π = h

45.
a)
b = 3A - a - c
b)
b = -3A + a - c
c)
b = -3A - a - c 
d)
b = 2A - c
46.
a)
4w-10
b)
-2w+10
c)
2w-10
d)
-4w + 10
47.
a)
L = r / (2A)
b)
L = 2A + r
c)
L = 2A - r
d)
L = (2A) / r
48.

Solve for m

E = mc2

a)

m = square root (E/c)

b)

m = square root(E) /c

c)

m = E /c2

d)

m = c2/E

49.
Solve for v.
a)
at + u  = v
b)
at - u = v
c)
a/t + u = v
d)
a/t - u = v
50.

Solve for r:
LA = 2πrhLA\ =\ 2\pi rh

a)

LA−2πh = rLA-2\pi h\ =\ r

b)

LA2πh= r\frac{LA}{2\pi h}=\ r

c)

LA2−πh = r\frac{LA}{2}-\pi h\ =\ r

d)

2LAπh= r\frac{2LA}{\pi h}=\ r

51.

Solve for h:
V = 13πr2hV\ =\ \frac{1}{3}\pi r^2h

a)

3Vπr2=h\frac{3V}{\pi r^2}=h

b)

13V −πr2=h\frac{1}{3}V\ -\pi r^2=h

c)

3V − πr2=h3V\ -\ \pi r^2=h

d)

13Vπr2=h\frac{1}{3}V\pi r^2=h

52.

Solve for h:
SA = 2πr2+2πrhSA\ =\ 2\pi r^2+2\pi rh

a)

SA2πr2+2πr=h\frac{SA}{2\pi r^2+2\pi r}=h

b)

SA−2πr2πr2=h\ \frac{SA-2\pi r}{2\pi r^2}=h

c)

SA−2πr22πr=h\frac{SA-2\pi r^2}{2\pi r}=h

d)

SA − 2πr22πr= hSA\ -\ \frac{2\pi r^2}{2\pi r}=\ h

53.

Solve for p:
SA = 12lp +BSA\ =\ \frac{1}{2}lp\ +B

a)

2SA−Bl= p\frac{2SA-B}{l}=\ p

b)

2SAl−B = p\frac{2SA}{l}-B\ =\ p

c)

SA−B2l=p\frac{SA-B}{2l}=p

d)

2(SA−B)l=p\frac{2\left(SA-B\right)}{l}=p

54.



(a)  

55.



(a)  

56.



(a)  

57.



(a)  

58.



(a)  

59.



(a)  

60.



(a)  

61.

Working alone, Ryan can dig a 10 ft by 10 ft hole in five hours. Castel can dig the same hole in six hours. How long would it take them if they worked together? Write your final answer in two decimal places.

(a)  

62.

Shawna can pour a large concrete driveway in six hours. Dan can pour the same driveway in seven hours. Find how long it would take them if they worked together.

(a)  

63.

It takes Trevon ten hours to clean an attic. Cody can clean the same attic in seven hours. Find how long it would take them if they worked together.

(a)  

64.

Working alone, Carlos can oil the lanes in a bowling alley in five hours. Jenny can oil the same lanes in nine hours. If they worked together how long would it take them?

(a)  

65.

Working together, Paul and Daniel can pick forty bushels of apples in 4.95 hours. Had he done it alone it would have taken Daniel 9 hours. Find how long it would take Paul to do it alone.

(a)  

66.

Working together, Jenny and Natalie can mop a warehouse in 5.14 hours. Had she done it alone it would have taken Natalie 12 hours. How long would it take Jenny to do it alone?

(a)