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Algebra 2 lesson 1-1 to 1-3

Total questions: 20

Worksheet time: 39mins

Name
Class
Date
1.

The commutative property of multiplication states that the order of the numbers in an expression...

a)

should go from least to greatest

b)

doesn't change the product

c)

should go from greatest to least

d)

is always important

2.

Simplify.  5x4(2x7x2)+3x25x-4\left(2x-7x^2\right)+3x^2  

a)

 31x23x31x^2-3x  

b)

 31x43x231x^4-3x^2  

c)

 25x23x-25x^2-3x  

d)

 25x2+9x-25x^2+9x  

3.

Simplify. (23)÷(72)54\frac{\left(2\cdot3\right)\div\left(7-2\right)}{5-4}  

a)

 66  

b)

 1.14-1.14  

c)

 3.143.14  

d)

 7.27.2  

4.

Evaluate for  w=6, x=0.4, z=3w=6,\ x=0.4,\ z=-3  

 z(x+1)z\left(x+1\right)  

a)

 .2-.2  

b)

 21-21  

c)

 4.2-4.2  

d)

 4.24.2  

5.

Evaluate for w=6, x=0.4, z=3w=6,\ x=0.4,\ z=-3  

 w3x+zw-3x+z  

a)

 10.2-10.2  

b)

 1.81.8  

c)

 .4.4  

d)

 1.8-1.8  

6.

Write an algebraic expression to represent the verbal expression.


The sum of 5 and three times a number

a)

5+3n5+3n

b)

5(n+3)5\left(n+3\right)

c)

3n53n-5

d)

3(5+n)3\left(5+n\right)

7.

Write an algebraic expression to represent each verbal expression.

The product of the cube of a number of -6

a)

 (6n)3\left(-6n\right)^3  

b)

 6+3n6+3n  

c)

 6n3-6n^3  

d)

 6n36\cdot\frac{n}{3}  

8.

Write an algebraic expression to represent each verbal expression.

The product of the cube of a number of -6

a)

 (6n)3\left(-6n\right)^3  

b)

 6+3n6+3n  

c)

 6n3-6n^3  

d)

 6n36\cdot\frac{n}{3}  

9.

 14+n=6-14+n=-6  Solve the equation.

a)

 n=8n=8  

b)

 n=8n=-8  

c)

 n=20n=-20  

d)

 n=12n=12  

10.

Jason started with d dollars. One week later, he doubled the amount in his piggy bank. Another week later, Jason was able to add $20 to his piggy bank. At that point he had $50 in his piggy bank. 

Write an equation to find d.

a)

 2d+20=502d+20=50  

b)

 2d+50=202d+50=20  

c)

 2d+20+50=02d+20+50=0  

d)

 20d+2=5020d+2=50  

11.

Evaluate the expression
 2[5+(30÷6)]2\left[5+\left(30\div6\right)\right]  

a)

20

b)

11.67

c)

22

d)

23.4

12.
What is the multiplicative inverse of 2/3?
a)
-2/3
b)
3/2
c)
-3/2
d)
2/3
13.
What is the additive inverse of 2/3?
a)
-2/3
b)
3/2
c)
2/3
d)
-3/2
14.
This is an example of which property:
(2⋅3)4=2⋅3⋅4
a)
Associative
b)
Commutative
c)
Inverse
d)
Identity
15.
This is an example of which property:
(2⋅3)4=(3⋅2)4
a)
Associative
b)
Commutative
c)
Inverse
d)
Identity
16.
Identify the property
a + 0 = a
a)
identity of addition
b)
identity of multiplication
c)
inverse of addtion
d)
multiplication of zero
17.
Identify the property
a(b + c) = ab + ac
a)
Associative of addtion
b)
Distributive
c)
Commutative of addition
d)
Inverse
18.

Classify the number: 3

a)

natural, whole, integer, rational, real

b)

whole, integer, rational, real

c)

natural, whole, integer, irrational, real

d)

natural, whole, integer, rational

19.
Which statement is NOT true?
a)
Every rational number is a real number.
b)
Every counting number is a whole number.
c)
Every integer is a rational number.
d)
Every decimal number is an irrational number.
20.

A number that can be written in the form a/b where a and b are integers is a ________________ .

a)

Irrational Number

b)

Rational Number

c)

Whole Number

d)

Integer