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Grade 7 Math > Module 5 Algebraic Expressions > Flashcards

Module 5 Algebraic Expressions Flashcards

1
Q

What is an algebraic expression?

A

An algebraic expression is a mathematical phrase that includes numbers, variables, and operation symbols.

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2
Q

True or False: The expression 3x + 5 is an algebraic expression.

A

True

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3
Q

Fill in the blank: An expression that contains a variable is called a __________ expression.

A

variable

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4
Q

What is the value of the expression 4x + 2 when x = 3?

A

14

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5
Q

How many terms are in the expression 7a + 4b - 2?

A

3

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6
Q

What do we call the number in front of a variable in an expression?

A

coefficient

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7
Q

True or False: The expression 5y - 3y can be simplified.

A

True

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8
Q

What is the simplified form of 2(x + 4) using the Distributive Property?

A

2x + 8

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9
Q

What is the constant term in the expression 6x + 7?

A

7

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10
Q

Which operation can be performed to combine like terms in the expression 3a + 2a?

A

addition

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11
Q

What is the result of evaluating the expression 5x - 3 when x = 2?

A

7

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12
Q

Multiple Choice: Which of the following expressions is equivalent to 2(x - 3)? A) 2(x -6) B) 2x - 6 C) 2x + 3

A

B) 2x - 6

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13
Q

What is the coefficient of x in the expression 7x - 5?

A

7

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14
Q

True or False: The expression 4(x + 2) + 3x can be simplified to 7x + 8.

A

True

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15
Q

What do you call the process of rewriting an expression in a simpler form?

A

simplification

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16
Q

What is the expression for the sum of 3 times a number x and 7?

A

3(x + 7)

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17
Q

What is the term for the highest power of a variable in an expression?

A

degree

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18
Q

What is the result of combining like terms in the expression 4x + 2x - 3?

A

6x - 3

19
Q

What is the distributive property?

A

The distributive property states that a(b + c) = ab + ac

20
Q

True or False: The distributive property can only be applied to addition.

A

False.

21
Q

Fill in the blank: The distributive property allows you to multiply a number by a __________ of numbers.

A

sum or difference

22
Q

In the expression 5(x + 2), what is the coefficient of x after applying the distributive property?

A

5

23
Q

Which of the following is an example of the distributive property? A) 3 + 4 = 7 B) 2(3 + 4) = 23 + 24 C) 6 - 2 = 4

A

B

24
Q

True or False: The distributive property can be used with subtraction.

A

True

25
Q

If 4(x - 3) is simplified using the distributive property, what will be the expression?

A

4x - 12

26
Q

What is the first step in applying the distributive property to the expression 7(2 + 5)?

A

Multiply 7 by each term inside the parentheses

27
Q

Fill in the blank: The distributive property is often used to simplify __________.

A

expressions

28
Q

Which property is illustrated by the equation 6(2 + 3) = 62 + 63?

A

Distributive property

29
Q

What does the distributive property help to eliminate in algebraic expressions?

A

Parentheses

30
Q

True or False: The distributive property can only be used with integers.

A

False

31
Q

If you have the expression x(2 + 5) and apply the distributive property, what is the result?

A

2x + 5x

32
Q

What is the simplified form of 3(4x - 2)?

A

12x - 6

33
Q

Using the distributive property, what is the result of -5(2x + 3y)?

A

-10x - 15y

34
Q

What is the outcome of applying the distributive property to the expression 8(-x + 4)?

A

-8x + 32

35
Q

Which operation does the distributive property primarily involve?

A

Multiplication

36
Q

If you have 9(x + 1) and apply the distributive property, what is the result?

A

9x + 9

37
Q

Using the distributive property, simplify 3(2x + 4) - 5.

A

6x + 12 - 5 = 6x + 7

38
Q

To factor an expression is to divide the terms by their _________.

A

Greatest Common Factor

39
Q

The factored form of the expression 12x - 6 is ______.

A

6(2x -1)

40
Q

The factored form of the expression 18 - 9x is ______.

A

9(2 - x)

41
Q

To factor the expression 24x + 16, you would start by dividing 24x and 16 by _____.

A

8

42
Q

-(x + y) =

A

-x - y

43
Q

-(-x - y) =

A

x + y

44
Q

-(x - y) =

A

-x + y

Grade 7 Math (4 decks)

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