algebra part 1

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Contents hide
1 Question 1 (5 points)
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2 Question 2 (5 points)
3 Question 3 (5 points)
4 Question 4 (5 points)
5 Question 5 (5 points)
6 Question 6 (5 points)
7 Question 7 (5 points)
8 Question 8 (5 points)
9 Question 9 (5 points)
10 Question 10 (5 points)
11 Question 11 (5 points)
12 Question 12 (5 points)
13 Question 13 (5 points)
14 Question 14 (5 points)
15 Question 15 (5 points)
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Question 1 (5 points)

Solve 4(t + 1) = 6t – 1.

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Question 1 options:

a)

1

b)

112

1

1

2

c)

212

2

1

2

d)

0

Question 2 (5 points)

Solve m – 13 = 8.

Question 2 options:

a)

-21

b)

-5

c)

5

d)

21

Question 3 (5 points)

Which ratio forms a proportion with

714

7

14

?

Question 3 options:

a)

512

5

12

b)

25

2

5

c)

49

4

9

d)

36

3

6

Question 4 (5 points)

Solve |c-5| = 7

Question 4 options:

a)

{-4,6}

b)

∅

∅

c)

{-2,12}

d)

{-4,4}

Question 5 (5 points)

Machine A can produce 435 widgets in 3 hours. At this rate, how many widgets can Machine A produce in 7 hours?

Question 5 options:

a)

3045

b)

1015

c)

21

d)

186

Question 6 (5 points)

Solve 2t + 1 = 3

Question 6 options:

a)

1

b)

2

c)

-2

d)

-1

Question 7 (5 points)

Solve 3t – 6 = t – 2

Question 7 options:

a)

-4

b)

-2

c)

1

d)

2

Question 8 (5 points)

Translate the following sentence into an equation. The sum of twice a number x and 13 is two less than three times x.

Question 8 options:

a)

2x + 13 = 2 – 3x

b)

2(x + 13) + 3x – 2

c)

2x + 13 = 3x – 2

d)

2x + 13 = 3(x – 2)

Question 9 (5 points)

In Death Valley, California, the highest ground temperature recorded was 94°C on July 15, 1972. In the formula

C = 59(F −32)

C

=

5

9

F

–

32

, C represents the temperature in degrees Celsius and F represents the temperature in degrees Fahrenheit. To the nearest degree, what is the highest ground temperature in Death Valley in Fahrenheit?

Question 9 options:

a)

34°F

34

°

F

b)

201 °F

201

°

F

c)

137°F

137

°

F

d)

84 °F

84

°

F

Question 10 (5 points)

Solve

35x = 15

3

5

x

=

15

Question 10 options:

a)

9

b)

25

c)

75

d)

5

Question 11 (5 points)

Translate the following equation into a verbal sentence. x + 5 = 2(7 + x)

Question 11 options:

a)

The number x plus five is two times seven plus x.

b)

The number x plus five is two times the sum of seven and x.

c)

The quotient of x and five is two times seven plus x.

d)

The product of x and five is the sum of two times seven and x.

Question 12 (5 points)

Solve the formula

V = 13Ï€r2h for h

V

=

1

3

Ï€r

2

h

for

h

Question 12 options:

a)

3VÏ€r2

3

V

Ï€r

2

b)

3Ï€r2V

3

Ï€r

2

V

c)

13r2V

1

3

r

2

V

d)

v3Ï€r2

v

3

Ï€r

2

Question 13 (5 points)

Translate the following equation into a verbal sentence. 3x – y = 5(y + 2x)

Question 13 options:

a)

Three times x minus y is five times the sum of y and two times x.

b)

Three times x less than y is five times y plus two times x.

c)

The sum of three times x and y is five times y plus two times x.

d)

Translate the following equation into a verbal sentence. 3x – y = 5(y + 2x)

Question 14 (5 points)

Solve the proportion

27 = x42

2

7

=

x

42

Question 14 options:

a)

6

b)

12

c)

12

1

2

Question 15 (5 points)

Solve y – 18 = –3.

Question 15 options:  
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