Module 4_Lesson 3: Linear Equations in x

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MATH REVIEW

Categorize

Options (12)

more than

total

sum

decreased by

less than

difference

twice

product

ratio

shared equally

quotient

per group

Organize these options into the right categories.

ADDITION

SUBTRACTION

MULTIPLICATION

DIVISION

Match

Match the following terms to their corresponding math symbols.

• Product

• Sum

• Difference

• Quotient

• Yields to

• $$\left(\ \ \right)$$

• $$+$$

• $$-$$

• $$/$$

• $$=$$

Match

Match the following vocabularies to their corresponding definitions.

• These are separated by addition or subtraction operation.

• It is a letter that represents an unknown value.

• It is a number found before a variable.

• It has the same variable and same exponent.

• It is a number without a variable.

terms

variable

coefficient

like terms

constant

• terms

• variable

• coefficient

• like terms

• constant

Match

Identify the important parts of this expression:

$$5x^2\ -4x\ +\ 7\ -7x$$

• Number of Terms

• Coefficient of the second term

• constant

• Coefficient of the last term

• Like Terms

4

-4

7

-7

-4x and -7x

• 4

• -4

• 7

• -7

• -4x and -7x

Match

Identify the important parts of this expression:

$$x^2\ +6x\ -\ 6\ -6x^2$$

• Number of Terms

• Coefficient of the second term

• constant

• Coefficient of the first term

• Like Terms

4

6

-6

1

x² and -6x²

• 4

• 6

• -6

• 1

• x² and -6x²

Match

Match the following words to their corresponding operations.

• Multiplication

• Addition

• Subtraction

• Division

Product

Sum

Difference

Quotient

• Product

• Sum

• Difference

• Quotient

Multiple Choice

WHAT OPERATION IS "LESS THAN"?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

WHAT OPERATION IS "MORE THAN"?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

6 less than x

• 6 - x

• x - 6

• 6x

• x + 6

Multiple Choice

6 less x

• 6 - x

• x - 6

• 6x

• x + 6

Multiple Choice

8 more than x

• x - 8

• 8 + x

• 8x

• x + 8

Multiple Choice

x less than 7

• x - 7

• 7 - x

• 7x

• 7 + x

Multiple Choice

x subtracted from 11

• x - 11

• 11 - x

• 11x

• 11 - y

Match

Match the following terms to their corresponding math symbols.

• 4 less than x

• 4 less x

• 4 more than x

• x more than 4

• 4 less than 4x

x - 4

4 - x

x + 4

4 + x

4x - 4

• x - 4

• 4 - x

• x + 4

• 4 + x

• 4x - 4

Match

Match the following terms to their corresponding math symbols.

• square of a number

• cube of a number

• twice a number

• thrice a number

• consecutive numbers

x²

x³

2x

3x

x

x + 1

x +2

. . .

• x²

• x³

• 2x

• 3x

• x

  x + 1

  x +2

  . . .

Match

Match the following terms to their corresponding math symbols.

• The product of a number and seven.

• The sum of three consecutive numbers.

• The square of a number times three.

• Twice the sum of a number and 8.

• The cube of a number divided by two.

7n

n + (n+1) + (n+2)

3n²

2(n + 8)

• 7n

• n + (n+1) + (n+2)

• 3n²

• 2(n + 8)

• $$\frac{n^3}{2}$$

Multiple Choice

What operation is used in this expression:

$$x\ +\ 8$$

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

What operation is used in this expression:

$$9-x$$

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

What operation is used in this expression:

$$\frac{10}{x}$$

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

What operation is used in this expression:

$$5x$$

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

What operation is used in this expression:

$$\frac{x}{7}$$

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

What operation is used in this expression:

$$17x$$

• Addition

• Subtraction

• Multiplication

• Division

Match

Match the following algebraic equations to their corresponding values of x.

• $$\frac{18}{x}=6$$

• 13 + x = 21

• x - 9 = 5

• 7x = 28

• $$\frac{x}{3}=7$$

3

8

14

4

21

• 3

• 8

• 14

• 4

• 21

Match

Match the following algebraic equations to their corresponding values of x.

• $$\frac{48}{x}=6$$

• 8 + x = 13

• x - 3 = 12

• 8x = 24

• $$\frac{x}{7}=2$$

8

5

15

3

14

• 8

• 5

• 15

• 3

• 14

Match

Match the following verbal phrases to their corresponding math expressions.

• two plus x

• two added by y

• x is increased by 3

• y more than 3

• the sum of x and y

2 + x

2 + y

x + 3

3 + y

x + y

• 2 + x

• 2 + y

• x + 3

• 3 + y

• x + y

Match

Match the following verbal phrases to their corresponding math expressions.

• 5 less x

• 5 less than x

• 15 subtracted from x

• 15 subtracted by x

• the difference of x and y

5 - x

x - 5

x - 15

15 - x

x - y

• 5 - x

• x - 5

• x - 15

• 15 - x

• x - y

Match

Match the following verbal phrases to their corresponding math expressions.

• The sum of x and y is 10.

• Ten times a number is equal to the sum of that number and 10.

• Ten less than twice of a number is ten.

• A number minus ten yields ten.

• A total of ten and some number is ten.

x + y = 10

10x = x + 10

2x - 10 = 10.

x - 10 = 10

10 + x = 10

• x + y = 10

• 10x = x + 10

• 2x - 10 = 10.

• x - 10 = 10

• 10 + x = 10

Match

Match the following verbal phrases to their corresponding math expressions.

• x less than 7

• 7 less than x

• 7 more than x

• x more than 7

• the product of 7 and x

7 - x

x - 7

x + 7

7 + x

7x

• 7 - x

• x - 7

• x + 7

• 7 + x

• 7x

Match

Match the following verbal phrases to their corresponding math expressions.

• x multiplied to the quantity of 3 minus y

• x times the sum of 3 and y

• the quotient of x and 3

• the quotient of 3 and x

• thrice x

x (3 - y)

x ( 3 + y )

3x

• x (3 - y)

• x ( 3 + y )

• $$\frac{x}{3}$$

• $$\frac{3}{x}$$

• 3x

Match

Match the following verbal phrases to their corresponding math expressions.

• The product of a number and ten is 10.

• The difference of a number and ten is 10.

• Ten divided by a number is ten.

• The sum of ten and a number is equal to that number.

• Twice a number plus ten is thrice of that number.

10x = 10

x - 10 = 10

10 + x = x

2x + 10 = 3x

• 10x = 10

• x - 10 = 10

• $$\frac{10}{x}=10$$

• 10 + x = x

• 2x + 10 = 3x

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Terms are considered LIKE TERMS when they have the same​

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and same​

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variable

exponent

constant

coefficient

terms

MATH LESSON

​I CAN IDENTIFY LINEAR EXPRESSION AND NONLINEAR EXPRESSIONS

Multiple Choice

The following are conditions to check for linear expressions, EXCEPT for:

• Highest exponent is 1.

• No negative exponent

• No variable in the denominator

• No variable inside a square root

• No variable in the numerator.

Multiple Select

Choose ONLY the ones that are linear expressions!

• x - 3 + 7x

• 6x^-3 + 7x - 8

• $$\frac{x\ +\ 9\ }{x-2}$$

• $$\frac{x\ +\ 9\ }{-2}$$

• 6x^-1 + 7x - 8

Multiple Select

Choose ONLY the ones that are linear expressions!

• 3 + 7x

• 7x² - 3

• $$\frac{x\ }{y}$$

• $$\frac{x\ }{-1}$$

• $$\sqrt[]{2x}$$

Multiple Choice

7x - 8

• Linear Expression

• Nonlinear Expression

• Neither of them

Multiple Choice

8x + 7x² - 8

• Linear Expression

• Nonlinear Expression

• Neither of them

Multiple Choice

9x^-1 - 4x + 8

• Linear Expression

• Nonlinear Expression

• Neither of them

Multiple Choice

$$4x\ -\frac{7}{3}$$

• Linear Expression

• Nonlinear Expression

• Neither of them

Multiple Choice

9x⁶ - 4x + 8

• Linear Expression

• Nonlinear Expression

• Neither of them

Multiple Choice

$$\frac{x-5}{3x}$$

• Linear Expression

• Nonlinear Expression

• Neither of them

Multiple Choice

9x - 4x + 8

• Linear Expression

• Nonlinear Expression

• Neither of them

Categorize

Options (15)

6x - 7

x - 9

$$\frac{x}{7}$$  

6x² - 7

x^-1 - 9

$$\frac{7}{x}$$  

6x - 7 = 2

x - 9 = 7

$$\frac{x}{7}=1$$  

x + (x+1) + (x+2)

2x + 8

x + (x+1) + (x+2) = 3

2x + 8 = -4

$$\sqrt[]{2x}+8$$  

x² + (x+1) + (x+2)

Organize these options into the right categories.

LINEAR EXPRESSIONS

NONLINEAR EXPRESSIONS

LINEAR EQUATIONS

MATH LESSON

I CAN SOLVE ONE-STEP LINEAR EQUATIONS USING SOME PROPERTIES OF EQUALITIES.

Match

Match the following linear equations to their corresponding values of x.

• 5x = 20

• 7x = 42

• 12x = 60

• 11x = 77

• 9x = 27

4

6

5

7

3

• 4

• 6

• 5

• 7

• 3

Draw

EXAMPLE:

$$7x=70$$

Draw

EXAMPLE:

$$5x=45$$

Draw

Show your work on the given space.

9x = 63

Draw

Show your work on the given space.

3x = 18

Draw

Show your work on the given space.

6x = 42

Draw

Show your work on the given space.

3x = 36

Multiple Choice

When you solve for x in this expression: 6x = 42,

what property of equality should you use?

• Multiplication Property of Equality

• Division Property of Equality

• Subtraction Property of Equality

• Addition Property of Equality

Match

Match the following linear equations to their corresponding values of x.

• 7x = 7

• 9x = 18

• 10x = 100

• 4x = 36

• 6x = 48

1

2

10

9

8

• 1

• 2

• 10

• 9

• 8

Match

Match the following linear equations to their corresponding values of x.

• 9x = 81

• $$\frac{1}{2}x$$ = 20

• $$\frac{1}{2}x$$ = 5.5

• $$\frac{1}{2}x$$ = 8

• $$\frac{1}{2}x$$ = 7

9

40

11

16

14

• 9

• 40

• 11

• 16

• 14

Match

Match the following linear equations to their corresponding values of x.

• 7x = 49

• $$\frac{1}{2}x$$ = 6

• 6x = 36

• $$\frac{1}{3}x$$ = 3

• $$\frac{1}{2}x$$ = 5

7

12

6

9

10

• 7

• 12

• 6

• 9

• 10

Draw

EXAMPLE:

5x + 2 = 12

Draw

EXAMPLE:

8x - 6 = 18

Draw

Show your work on the given space.

2x + 5 = 13

Draw

Show your work on the given space.

4x + 3 = 27

Draw

Show your work on the given space.

9x - 5 = 32

Draw

Show your work on the given space.

7x - 3 = 31

Draw

Show your work on the given space.

x - 9 = 19

MATH TICKET

Draw

Show your work on the given space.

7x = 42

Draw

Show your work on the given space.

x + 8 = 13

Draw

Show your work on the given space.

3x - 2 = 20

MATH RATING

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