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Recitation 1 - review

Total questions: 15

Worksheet time: 35mins

Name
Class
Date
1.

Which expression below represents the following problem:

8,000 split n equal ways

a)

8000n

b)

n - 8000

c)

8000n\frac{8000}{n}

d)

8000 - 8000n\frac{8000}{n}

2.

Which expression represents the following problem:

double the difference of a number and 18

a)

2x - 18

b)

2x + 18

c)

2(x - 18)

d)

36x

3.

Write an algebraic equation that models the following problem:

The perimeter of an equilateral triangle can be found by tripling the length of one of its sides

a)

p = 3L

b)

L = 3p

c)

p = 13L\frac{1}{3}L

d)

p = L3L^3

4.

Evaluate the following equation for p = 180

c=p12c=\frac{p}{12}

c = (a)  

5.

Simplify by combining like terms:

14g+h−(−g)−8h14g+h-\left(-g\right)-8h

a)

13g - 7h

b)

15g - 7h

c)

13g + 9h

d)

15g + 9h

6.

Simplify the expression:

9(m3+3)−5(3−m3)−8(−1−m3)9\left(m^3+3\right)-5\left(3-m^3\right)-8\left(-1-m^3\right)

a)

22m9−2122m^9-21

b)

20m3−1820m^3-18

c)

−4m3+15-4m^3+15

d)

22m3+2022m^3+20

7.

a + b = b + a

is the definition of which property of addition?

a)

Commutative

b)

associative

c)

distributive

d)

multiplicative inverse

8.

Solve the following equation:

60t−50=15t−560t-50=15t-5

a)

t=1

b)

t = -1

c)

t = 2

d)

t = -2

9.

Solve the following equation:

3(x+2)−2=−(5+x)+x3\left(x+2\right)-2=-\left(5+x\right)+x

a)

x = 3

b)

x= -3

c)

No real solutions

d)

Infinitely many solutions

10.

Solve the equation:

2x−6=−2x+4(x−2)2x-6=-2x+4\left(x-2\right)

a)

x = 8

b)

x = -4

c)

No real solutions

d)

Infinitely many solutions

11.

Solve the equation:

8x+3(2−x)=5x+68x+3\left(2-x\right)=5x+6

a)

x = 4

b)

x = -2

c)

No real solutions

d)

Infinitely many solutions

12.

Solve the following equation:

35x+710=x−45\frac{3}{5}x+\frac{7}{10}=x-\frac{4}{5}

a)

x=154x=\frac{15}{4}

b)

x = −154x\ =\ -\frac{15}{4}

c)

x = 12\frac{1}{2}

d)

x = 33

13.

In your own words, why does

15x + 5 = 5(3x+1)

have infinitely many solutions?

4 lines
14.

In your own words, explain why

x = x + 1

has no real solutions.

4 lines
15.

Draw how you feel about yesterdays lesson