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May 24th









May 24th

The Topic of Algebra Course 3 - Chapter 2

2_4 Multiply Integers [4] – Multiply two integers with values from -9 to 9.

Find the product.

Your Answer: 21
Comment: Find the product.

The product of two numbers with the same sign is a positive number.

2_4 Multiply 3 Integers [4] – Multiply three integers with values from - 9to 9.

Find the product.

Your Answer: 126
Comment: Multiply from left to right.
The product of two numbers with the same sign is a positive number.
The product of two numbers with opposite signs is a negative number.

2_4 Multiply var ex pressions A [4] – Multiply variable expressions such as xy - yz
x = - 6,
y = - 1,
and z = - 4
Evaluate the expression: yz - 6x
Your Answer: 40
Comment:

2_4 Multiply Var Express Powers B [3] – Multiply variable expressions with powers such as x 2 + 3x.

Evaluate the expression when x = - 6

Your Answer: 72
Comment: Evaluate the expression when x = - 6

2_5 Dividing Integers [4] – Dividing two integers. Quotient is an integer.

Divide:

Your Answer: 7
Comment: Divide:

Dividing with the same sign is a positive quotient.
Dividing with opposite signs is a negative quotient.

2_5 Mean [4] – Find the mean of a data set with 4 to 7 members. Mean is an integer value.

Find the mean of the data:

Your Answer: - 2
Comment: Find the mean of the data:

The mean or average is the sum of the values divided by the number of values.

2_5 Divide Var Expressions [4] – Divide expressions with variables. Quotient is an integer.

Evaluate the expression when x = 12 and y = 4.

Your Answer: 36
Comment: Evaluate the expression when x = 12 and y = 4.

2_6 Property Matching – Match an expression with commutative, associative, or identity
properties of addition and multiplication.

All the items matched correctly.

Match Your Choice
Associative property of addition (p + 6) + 19 = p + (6 + 19)
Identity property of multiplication
Commutative property of multiplication
Associative property of multiplication
Commutative property of addition
Identity property of addition

Comment:
Commutative properties are a change in the order of operations . Example: a + b = b + a.
Associative properties are a change in the group . Example: (a + b) + c = a + (b + c)
The additive identity is 0. a + 0 = a
The multiplicative identity is 1. b • 1 = b

2_6 Using Add. Properties [3] – Using properties to simplify addition / subtraction .

Evaluate the expression:
26 + 9 + 34

Your Answer: 69
Comment: Evaluate the expression:
26 + 9 + 34

Use the commutative property of addition
26 + 34 + 9 =
60 + 9 =
69

2_6 Using Mult Properties[3] – Using properties to simplify multiplication.

Evaluate the expression:
5 • 9 • 4

Your Answer: 180
Comment: Evaluate the expression:
5 • 9 • 4

Change the order of the multiplication using the commutative property.
5 • 4 • 9
20 • 9
180

2_7 Distributive Prop A [4] – Distribute a(x + b) with a positive or negative.

Use the distributive property to simplify the expression:
- 5(x + 2)

Your Answer: - 5x - 10
Comment: Use the distributive property to simplify the expression:

2_7 Combine Like Terms A [4] – Combine like terms of binomials ax bx.

Simplify by combining like terms:
3x - 2x
Your Answer: x
Comment: Simplify by combining like terms:

2_7 Combine Like Terms B [6] – Combine like terms of polynomials with four terms.

Simplify each expression:

Your Answer: - 5z +1
Comment: Simplify each expression:

Combine like terms.

2_7 Dist and Comb Like Terms C [6] – Use the distributive property and combine like terms.

Simplify each expression:
5x + 7(x + 7) - 8

Your Answer: 12x+41
Comment: Simplify each expression:
5x + 7(x + 7) - 8

Distribute.
5x + 7x + 49 - 8

Combine like terms.
12x + 41

2_8 Match Coordinate Points [2] – Match the coordinate point with a labeled point on a
graph.

All the items matched correctly.

2_8 Find Coordinate Points [12] – Given a point on a graph, write the coordinate pair (x, y).

Write the coordinates for point B on the graph.
Your Answer: (0,-1)

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