VCJH Math Grade 7 Chpt 1 - Operations & Properties

Question 0

Associative Property

Answer 0

(A + B) + C = A + (B + C)

(A * B) * C = A * (B * C)

Only applies to addition and multiplication. P. 12

Question 1

Algebraic expression

Answer 1

.

Question 2

Commutative Property

Answer 2

A + B = B + A

A * B = B * A

P. 12

Question 3

Distributive Property

Answer 3

For all real numbers, a, b & c

a(b +c) = ab + ac
And
a(b-c) = ab - ac

P. 12

Question 4

numerical expression

Answer 4

Made up of numbers and operations

Ex- 2 + 3 * 5. NO VARIABLES

Question 5

Order of operations - rank the following in order.

• Multiply and Divide in order from left to right
• perform operations within grouping symbols ( )
• Add and Subtract in order from left to right
• Evaluate powers. Ex- x^3

Answer 5

• perform operations within grouping symbols ( )
• Evaluate powers. Ex- x^3
• Multiply and Divide in order from left to right
• Add and Subtract in order from left to right

Parentheses - Powers - Multiply/Divide - Add/Subtract

Question 6

term

Answer 6

Parts of an expression that are add or subtracted.

Can be a number, variable or product of numbers and variables.

Ex- 12 + x -5x

12, x, and 5x are the terms separated by plus or minus signs.

Question 7

Define variable

Define coefficient

Answer 7

• An algebraic symbol

For example X, Y, A, B, etc used to represent a quantity that can get change.

• the number that is multiplied by the variable in an algebraic expression

Ex - 5Y + 6X. Both 5 & 6 are coefficients.

Question 8

Simplify

27 - 18 / 6

Is 27 - (18/6) the same answer?

Is (27 - 18)/6 the same answer?

Answer 8

24

Yes. 24

No. 1.5

Question 9

Simplify

36 - 18 / 2 * 3 + 8.

Answer 9

36 - (18 / 2 * 3) + 8

36 - ( 9 * 3) + 8. NOT (18/6). Work left to right

36 - 27 + 8.

17. NOT 1. Again, work left to right.

Question 10

Simplify

5 + 6^2 * 10

Answer 10

5 + (6^2) * 10

5 + 36 * 10

5 + (36 * 10)

5 + 360

365

Question 11

Are these the same?

3 + 4^2

(3+4)^2

Answer 11

No

3 + 4^2= 19

(3+4)^2= 49

Question 12

Give the correct order of operations for simplifying

(5 + 3 * 20) / 13 + 3^2

Answer 12

(5 + 3 * 20) / 13 + 3^2

Parentheses - Powers - Multiply/Divide - Add/Subtract

(5 + 60) / 13 + 3^2

65 / 13 + 3^2

65 / 13 + 9

5+ 9 = 14

Question 13

Where should grouping symbols ( ) be inserted to make the expression below equal 13?

3 + 9 - 4 * 2

Answer 13

(3 + 9) - 4 * 2 = 4

3 + (9 - 4) * 2 = 28

3 + 9 - (4 * 2) = 4

(3 + 9 - 4) * 2 = 13. Correct answer

Question 14

Constant

Answer 14

A value that does not change.

Question 15

Word problems cue words

Product means to?

Quotient?

Difference?

Factor?

Answer 15

Multiply

Divide

Subtract

Multiply by itself numerous times

Question 16

What is the Identity Property of Zero?

Identity property of 1?

Answer 16

A + 0 = A

A x 0 = 0

A * 1 = 1

A * 1/A = 1 If A is not zero. P. 12