Lesson: Opposite Numbers Lesson Topic: Find opposite ...The coefficients are 5 and 3. The solution...

Lesson: Opposite Numbers

Lesson Topic: Find opposite numbers on a number line

What number is the opposite of 1?

Question 1:

What number is the opposite of 1?

Question 2:

What number is the opposite of -2?

Question 3:


Question 4:


Question 5:

Lesson: Negative and Positive Numbers

Lesson Topic: Find real-world negative numbers

What number describes losing 5 points on a quiz?

-5 points

5 points

Question 1:

What number describes the height of the Empire State Building?

1,454 feet

-1,454 feet

Question 2:

What number describes 15 degrees below zero?

15°

-15°

Question 3:

What number describes being 3 under par in golf?

3

-3

Question 4:

What number describes the highest place on Earth?

-8,848 meters

8,848 meters

Question 5:

Lesson: Rational Numbers on a Number Line

Lesson Topic: Order fractions from least to greatest

Write the numbers in order from least to greatest.

-5, 1 1⁄5, -5 3⁄4, 5⁄12

< < <

Question 1:


-3, 3 1⁄3, -3 3⁄4, 3 1⁄10

< < <

Question 2:


-2, 1 1⁄2, -1 1⁄2, 1⁄2

< < <

Question 3:


-4, 1 1⁄5, -1 1⁄5, 1⁄5

< < <

Question 4:


-4, 3 1⁄4, -4 3⁄4, 3⁄10

< < <

Question 5:

Lesson Topic: Order fractions from greatest to least

Write the numbers in order from greatest to least.

-3, 1 1⁄4, -1 3⁄4, 1⁄10

> > >

Question 1:


-2, 1 1⁄2, -2 3⁄4, 3⁄10

> > >

Question 2:


-4, 2 1⁄5, -2 3⁄4, 1⁄10

> > >

Question 3:


-1, 2 1⁄4, -3 3⁄5, 7⁄10

> > >

Question 4:


-5, 1 1⁄5, -5 3⁄4, 5⁄12

> > >

Question 5:

Lesson: Factoring

Lesson Topic: Find all possible factor pairs

Find all possible pairs of factors of 28.

28 = 1 x

28 = 2 x

28 = 4 x

Question 1:


27 = 1 x

27 = 3 x

Question 2:


25 = 1 x

25 = 5 x

Question 3:


18 = 1 x

18 = 2 x

18 = 3 x

Question 4:


19 = 19 x

Question 5:

Lesson Topic: Find factors of a whole number

Write the factors of 28:

28 = 1 ×

28 = 2 ×

28 = 2 × 2 ×

Question 1:


30 = 1 ×

30 = 2 ×

30 = 2 × 3 ×

Question 2:


27 = 1 ×

27 = 3 ×

27 = 3 × 3 ×

Question 3:


32 = 1 ×

32 = 2 ×

32 = 2 × 2 ×

32 = 2 × 2 × 2 ×

32 = 2 × 2 × 2 × 2 ×

Question 4:

Write the factors of 30:

1 × = 30

2 × = 30

2 × 3 × = 30

Question 5:

Lesson: Exponents

Lesson Topic: Evaluate powers of 1

51 =

Question 1:

6281 =

Question 2:

5.991 =

Question 3:

91 =

Question 4:

81 =

Question 5:

Lesson Topic: Evaluate exponents of positive numbers

Solve:

25 =

Question 1:

Solve:

44 =

Question 2:

Solve:

45 =

Question 3:

Solve:

71 =

Question 4:

Solve:

83 =

Question 5:

Lesson Topic: Evaluate 0 as an exponent

30 =

Question 1:

910 =

Question 2:

2,3000 =

Question 3:

100 =

Question 4:

50 =

Question 5:

Lesson: Whole Number Division

Lesson Topic: Divide three- and four-digit numbers

972

Divide:

Question 1:

36)

5555

Divide:

Question 2:

11)

612

Divide:

Question 3:

12)

Remainder

949

Divide:

Question 4:

39)

Remainder

5506

Divide:

Question 5:

57)

Lesson: Dividing Fractions by Fractions

Lesson Topic: Create equal denominators to divide fractions

Divide:

5⁄6 ÷ 2⁄3 =

Question 1:

Divide:

8⁄9 ÷ 1⁄3 =

Question 2:

Divide:

3⁄6 ÷ 4⁄5 =

Question 3:

Divide:

2⁄5 ÷ 1⁄3 =

Question 4:

Divide:

5⁄6 ÷ 2⁄3 =

Question 5:

Lesson Topic: Divide mixed numbers

Solve:

3 1⁄2 ÷ 2 1⁄2 =

Question 1:

Solve:

5 1⁄3 ÷ 2 2⁄7 =

Question 2:

Solve:

4 2⁄5 ÷ 3 1⁄7 =

Question 3:

Solve:

2 4⁄5 ÷ 2 1⁄5 =

Question 4:

Solve:

5 2⁄3 ÷ 4 2⁄3 =

Question 5:

Lesson: Decimals

Lesson Topic: Add decimals

+

.

Add:

7 9 . 2 5 4

4 7 8 . 7 2 9

Question 1:

+

.

Add:

4 1 4 . 0 3 2

5 0 7 . 6 9 0

Question 2:

+

.

Add:

4 7 9 . 0 6 5

8 3 . 8 6 2

Question 3:

+

.

Add:

3 6 . 7 4 3

8 0 0 . 4 1 5

Question 4:

+

.

Add:

3 4 8 . 9 0

8 3 . 4 6

Question 5:

Lesson Topic: Subtract decimals

-

Subtract:

446.68

389.92

Question 1:

-

Subtract:

530.792

253.265

Question 2:

-

Subtract:

103.973

83.984

Question 3:

-

Subtract:

521.454

119.72

Question 4:

-

Subtract:

6447.754

48.828

Question 5:

Lesson Topic: Multiply decimals

x

Multiply:

1.9

6.3

Question 1:

x

Multiply:

8.8

0.81

Question 2:

x

Multiply:

8.8

0.72

Question 3:

x

Multiply:

9.14

0.4

Question 4:

x

Multiply:

75.06

5.2

Question 5:

Lesson Topic: Divide decimals

335.335

Divide:

Question 1:

6.7)

736.896

Divide:

Question 2:

9.6)

6575.256

Divide:

Question 3:

78.84)

497.252

Divide:

Question 4:

5.9)

308.921

Divide:

Question 5:

43.51)

Lesson: Expressions

Lesson Topic: Identify variables

What is the variable in this expression?

1⁄3 + 8x

x

+

1/3

+ and x

8x

Question 1:

What are the variables in this expression?

6a − 3b + 3

only b

only a

+

a and b

6a and 3b

Question 2:


9x + 5

Question 3:


7a + a + 1

Question 4:


4b + 2b + 1⁄4

Question 5:

Lesson Topic: Identify expressions

Which of these are expressions?

Check all that are true.

5/6

16 ÷ 4 - 2 = 2

14

1 + 2 = 3

4z + 6

Question 1:



298

22 x 3

7x = 63

a + b + c

0

Question 2:



84

11 + 22 = 33

2x

9 x 2 = 20

Question 3:

10

Which of these are NOT expressions?


123

9 + 3 = 12

3(4x + 5)

6 − 5 − 4 = z

3z + 2x

Question 4:



24 + 42 = 66

12

3x = 9

122

11 x 4

Question 5:

Lesson Topic: Identify equations

Which of the following are equations?


b + 5

1/3 + x

x − 2

z = 14

3x + 2y = 30

Question 1:



3y − y = 3

x = 1

x − 2

y − 34 = 6

52

Question 2:



y + y = 4

46

k ÷ 9 = d

1

Question 3:

a + 3



=

7 + y

3(a + 2a) = 18

9/z = 5

3 + 4 = y

Question 4:



22

7x

10a + 5b = 2c

r = ds

x ÷ 2 = 4

Question 5:

Lesson Topic: Distinguish between variables, expressions, and equations

Which of the following are expressions?


y + 7

15 = x − 2

52 = 25

y

34

Question 1:



10 = y + 6

t − 5

16

t = 213

z

Question 2:

Which of the following are variables?


35 = 5y

z

x

13 + t

Question 3:

v = a3

Which of the following are variables?


p/q

x = y

v

y

8 ÷ (3 + 4)

Question 4:

Which of the following are expressions?


y = 5/b

3(5x + 7)

275

x

52 = 25

Question 5:

Lesson Topic: Evaluate variable expressions

Find the value of the expression.

4x

where x = 7

Question 1:


4 + y

where y = 9

Question 2:


where a = 12 and b = 2

Question 3:

a

2 · b


where a = 3; c = 6

Question 4:

4 · a

2 · c


3a + 9

where a = 6

Question 5:

Lesson Topic: Identify equations, expressions, and variables


2a + 9a + 10

Question 1:


9x + 7x + 13

Question 2:


5a + 11a + 10

Question 3:


7b + 6b + 2

Question 4:

Which of these are equations?


122

12

24 + 42 = 66

11 · 4 = 44

3x = 9

Question 5:

Lesson: Terminology of Expressions

Lesson Topic: Apply terminology of expressions

Which statements are true for the following expression?

2(a + 7)


The first factor is itself the sum of two terms.

The solution is the quotient of a term and two factors.

The second factor is itself the sum of two terms.

The coefficient is 5.

The solution is the product of two factors.

Question 1:


5 • (2c + 4 + 9)


The solution is the sum of two terms.

The coefficient is 2.

The second factor is itself the sum of three terms.

The second factor is a quotient of two factors and another term.


Question 2:


5x + 3y + 10


The variables are x and y.

Question 3:

The coefficients are 5 and 3.

The solution is the quotient of a sum of two terms and another term.

The solution is the sum of three terms.

The solution is the difference between two terms.



All factors are the sum of two terms.

The solution is the quotient of two factors and a term.



The coefficients are 2 and 5.

Question 4:

(b + 4)(c − 5)

4


(8 + 7)(11+7)


The solution is the difference between two terms.


The solution is the quotient of two factors.


The second factor is itself the sum of two terms.

Question 5:

Lesson: Equivalent Expressions

Lesson Topic: Combine like terms

Combine like terms to simplify the expression:

12 + 3y − 8 − 7y = ______

4 + 4y

4 − 4y

20 − 4y

12 − 4y

5 + 3y

Question 1:


-5y + 12 + 8y − 6 − 2 = ______

4 + 13y

4 + 3y

-3y + 12

4 − 3y

6 − y

Question 2:


7 − 3x + 3 + 8x = ______

10x

4 + 11x

8 + 5x

10 + 5x

Question 3:

8 − 5x


8y + 10 − 4 − 5y = ______

14 + 3y

6 + 3y

14 + 13y

6 + 13y

8 + 5y

Question 4:


6 − 2x + 8 + 3x = ______

14 + x

10 − x

4 + 11x

14 − 5x

8 + 5x

Question 5:

Lesson Topic: Use distributive property to find equivalent expressions

Use the distributive property to find the equivalent expression.

7(7 + 6b) = + b

Question 1:


3(7 + 2d) = + d

Question 2:


4(3 + 10y) = + y

Question 3:


9(2 + 3x) = + x

Question 4:


7(8 + d) = + d

Question 5:

Lesson: Evaluating Algebraic Expressions

Lesson Topic: Substitute for a variable in an expression

If x = 47, what is the value of the expression x + 24?

Question 1:

If r = 15, what is the value of the expression 16r?

Question 2:

If m = 5, what is the value of the expression 2m + 17?

Question 3:

If m = 12, what is the value of the expression 4m - 6?

Question 4:

If y = 2, what is the value of the expression 13y + 5?

Question 5:

Lesson: Solving Equations using Algebra

Lesson Topic: Introduction to solving algebraic equations

What inverse operation should be used to isolate the variable in the equation k ÷ 4 = 48?

Add 4 to both sides of the equation

Subtract 4 from both sides of the equation

Divide both sides of the equation by 4

Multiply both sides of the equation by 4

Question 1:

What inverse operation should be used to isolate the variable in the equation 6 × a = 24?





Question 2:

What does it mean for a value to be the solution of the equation

3x − 5 = 23?

A solution is the value that when substituted for x makes the equation true.

A solution is the value that when substituted for x leaves both sides of the equation as

different numbers.

A solution is the value that is on the right side of the equation.

Question 3:

Which of the following is a solution for x in the equation

5x + 3 = 33?

Question 4:

x = 6

x = 3

What inverse operation should be used to isolate the variable in the equation p − 20 = 50?





Question 5:

Lesson Topic: Solve equations of the form x + p = q

Solve for x in the following equation:

x + 20 = 47

x =

Question 1:

Solve for m in the following equation:

m + 23 = 56

m =

Question 2:

Solve for q in the following equation:

q + 50 = 55

q =

Question 3:

Solve for x in the following equation:

x + 4 = 21

x =

Question 4:

Solve for m in the following equation:

m + 15 = 49

m =

Question 5:

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Lesson: Opposite Numbers Lesson Topic: Find opposite ...The coefficients are 5 and 3. The solution...

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