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Algebra 1 - Chapter 3 Quest

Total questions: 43

Worksheet time: 2hrs 48mins

Name
Class
Date
1.

The square of m minus the cube of n is sixteen. 

a)

 n2  m3 = 16n^2\ -\ m^{3\ }=\ 16  

b)

 m2  n3 = 16m^2\ -\ n^{3\ }=\ 16  

c)

 n3  m2 = 16n^3\ -\ m^{2\ }=\ 16  

d)

 n2 + m3 = 16n^2\ +\ m^{3\ }=\ 16  

2.

Half the sum of nine and p is the same as p minus three.

a)

12(9p)=p3\frac{1}{2}\left(9-p\right)=p-3

b)

12(9+p)=p+3\frac{1}{2}\left(9+p\right)=p+3

c)

12(9+p)=p3\frac{1}{2}\left(9+p\right)=p-3

d)

2(9+p)=p32\left(9+p\right)=p-3

3.

Two times a number z minus 6 is the same as m divided by 3.

a)

2z6=3m2z-6=3m

b)

2z+6=m32z+6=\frac{m}{3}

c)

2z6=m32z-6=\frac{m}{3}

d)

2z6=3m2z-6=\frac{3}{m}

4.

A number x subtracted from 36 is three times the sum of four and x.

a)

36x=3(4+x)36-x=3\left(4+x\right)

b)

x36=3(4+x)x-36=3\left(4+x\right)

c)

36x=3(4x)36-x=3\left(4-x\right)

d)

x+36=3(4+x)x+36=3\left(4+x\right)

5.

 v9=14v-9=14  

a)

23

b)

24

c)

25

d)

26

6.

 s9=34s-9=-34  

a)

-23

b)

-24

c)

-25

d)

-26

7.

 e(26)=41e-\left(-26\right)=41  

a)

-10

b)

10

c)

-15

d)

15

8.

 c+5.4=11.33c+5.4=-11.33  

a)

-16.74

b)

-16.73

c)

6.78

d)

6.72

9.

 12+r=312+r=3  

a)

-9

b)

9

c)

-15

d)

15

10.

 7b=35-7b=-35  

a)

3

b)

-3

c)

5

d)

-5

11.

 25g=14\frac{2}{5}g=-14  

a)

-28

b)

-30

c)

-31

d)

-35

12.

 f14=63\frac{f}{14}=-63  

a)

-60

b)

-882

c)

-4

d)

-1088

13.

 5j=32.155j=-32.15  

a)

-6.43

b)

6.43

c)

-6.41

d)

6.41

14.

 8s+9=7s+68s+9=7s+6  

a)

3

b)

-3

c)

4

d)

-4

15.

 x+4=x+6-x+4=x+6  

a)

1

b)

0

c)

-1

d)

-2

16.

 n5+6=31\frac{n}{-5}+6=31  

a)

-25

b)

25

c)

125

d)

-125

17.

 2.85y7=12.85y22.85y-7=12.85y-2  

a)

-1/2

b)

1/2

c)

-0.55

d)

0.55

18.

 Yes or No: 921=1226Yes\ or\ No:\ \frac{9}{21}=\frac{12}{26}  


Are they proportionate?

a)

Yes

b)

No

19.

 Yes or No: 46=1624Yes\ or\ No:\ \frac{4}{6}=\frac{16}{24}  


Are they proportionate?

a)

Yes

b)

No

20.

 Yes or No: 721=4863Yes\ or\ No:\ \frac{7}{21}=\frac{48}{63}  


Are they proportionate?

a)

Yes

b)

No

21.

 615=n45\frac{6}{15}=\frac{n}{45}  

a)

18

b)

19

c)

20

d)

21

22.

 68=9s4\frac{6}{8}=\frac{9}{s-4}  

a)

14

b)

15

c)

16

d)

17

23.

  b6=39\ \frac{b}{6}=\frac{3}{9}  

a)

0

b)

0.5

c)

1

d)

2

24.

Increase or Decrease

Original: 55

New: 44

a)

Increase

b)

Decrease

25.

Increase or Decrease

Original: 35

New: 37.1

a)

Increase

b)

Decrease

26.

Find percent of change:

Original: 55

New: 44

a)

.2

b)

20%

c)

200%

d)

2%

27.

Find percent of change:

Original: 35

New: 37.1

a)

6%

b)

60%

c)

600%

d)

.6

28.

Find the total price:

Shirts: $12.00

Tax: 7%

a)

$13.00

b)

$13.02

c)

$12.78

d)

$12.84

29.

Find the total price:

Suit: $175.95

Discount: 45%

a)

$94.32

b)

$85.89

c)

$96.77

d)

$97.09

30.

Find the total cost

Camera: $58.00

Discount: 25%

Tax: 6.5%

a)

$41.20

b)

$42.11

c)

$43.76

d)

$46.33

31.

 5y=x5y=x  Solve for y

a)

 y=x5y=\frac{x}{5}  

b)

 y=5xy=\frac{5}{x}  

c)

 y=5xy=5x  

d)

 x=y5x=\frac{y}{5}  

32.

 3y6=x3y-6=x  Solve for y

a)

 y=9xy=\frac{9}{x}  

b)

 y=x+36y=\frac{x+3}{6}  

c)

 y=x+63y=\frac{x+6}{3}  

d)

 y=x63y=\frac{x-6}{3}  

33.

If the original number is greater than the new number it is a :

a)

Proportion

b)

Ratio

c)

% of decrease

d)

Extremes

34.

This compares two numbers by division (fraction bar)

a)

Proportion

b)

Ratio

c)

% of decrease

d)

Extremes

35.

An equation showing when two ratios are equal

a)

Proportion

b)

Ratio

c)

% of decrease

d)

Extremes

36.

 ab=cd\frac{a}{b}=\frac{c}{d}  In this proportion, a and d are called

a)

Proportion

b)

Ratio

c)

% of decrease

d)

Extremes

37.

When an increase or decrease is expressed as a % is it called

a)

Consecutive Integers

b)

Percent of Change

c)

Percent of Increase

d)

Means

38.

Integers in counting order are called

a)

Consecutive Integers

b)

Percent of Change

c)

Percent of Increase

d)

Means

39.

 ab=cd\frac{a}{b}=\frac{c}{d}  In this proportion, b and c are called

a)

Consecutive Integers

b)

Percent of Change

c)

Percent of Increase

d)

Means

40.

If the new number is greater than the original number it is a 

a)

Consecutive Integers

b)

Percent of Change

c)

Percent of Increase

d)

Means

41.

Julie cashed a paycheck and repaid her brother $10 that she had borrowed from him. She then spent $30 on fuel for her car and half of the remaining money on a new tent for camping. She bought a pair of running shoes for $29.45 and had $17.75 left. How much did Julie receive when she cashed her paycheck?

a)

$118.20

b)

$120.75

c)

$134.40

d)

136.76

42.

A bacteria population triples in number each day. If there are 243,000 on the fifth day, how many bacteria were there on the first day?

a)

1,000

b)

3,000

c)

9,000

d)

27,000

43.

Translate into a verbal sentence.


3(x +y) = 2y - x

4 lines