lesson: opposite numbers lesson topic: find opposite ...the coefficients are 5 and 3. the solution...
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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:
What number is the opposite of -2?
Question 4:
What number is the opposite of -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:
Write the numbers in order from least to greatest.
-3, 3 1⁄3, -3 3⁄4, 3 1⁄10
< < <
Question 2:
Write the numbers in order from least to greatest.
-2, 1 1⁄2, -1 1⁄2, 1⁄2
< < <
Question 3:
Write the numbers in order from least to greatest.
-4, 1 1⁄5, -1 1⁄5, 1⁄5
< < <
Question 4:
Write the numbers in order from least to greatest.
-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:
Write the numbers in order from greatest to least.
-2, 1 1⁄2, -2 3⁄4, 3⁄10
> > >
Question 2:
Write the numbers in order from greatest to least.
-4, 2 1⁄5, -2 3⁄4, 1⁄10
> > >
Question 3:
Write the numbers in order from greatest to least.
-1, 2 1⁄4, -3 3⁄5, 7⁄10
> > >
Question 4:
Write the numbers in order from greatest to least.
-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:
Find all possible pairs of factors of 27.
27 = 1 x
27 = 3 x
Question 2:
Find all possible pairs of factors of 25.
25 = 1 x
25 = 5 x
Question 3:
Find all possible pairs of factors of 18.
18 = 1 x
18 = 2 x
18 = 3 x
Question 4:
Find all possible pairs of factors of 19.
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:
Find all possible pairs of factors of 30.
30 = 1 ×
30 = 2 ×
30 = 2 × 3 ×
Question 2:
Find all possible pairs of factors of 27.
27 = 1 ×
27 = 3 ×
27 = 3 × 3 ×
Question 3:
Find all possible pairs of factors of 32.
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:
What is the variable in this expression?
9x + 5
Question 3:
What is the variable in this expression?
7a + a + 1
Question 4:
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:
Which of these are expressions?
Check all that are true.
298
22 x 3
7x = 63
a + b + c
0
Question 2:
Which of these are expressions?
Check all that are true.
84
11 + 22 = 33
2x
9 x 2 = 20
Question 3:
10
Which of these are NOT expressions?
Check all that are true.
123
9 + 3 = 12
3(4x + 5)
6 − 5 − 4 = z
3z + 2x
Question 4:
Which of these are expressions?
Check all that are true.
24 + 42 = 66
12
3x = 9
122
11 x 4
Question 5:
Lesson Topic: Identify equations
Which of the following are equations?
Check all that are true.
b + 5
1/3 + x
x − 2
z = 14
3x + 2y = 30
Question 1:
Which of the following are equations?
Check all that are true.
3y − y = 3
x = 1
x − 2
y − 34 = 6
52
Question 2:
Which of the following are equations?
Check all that are true.
y + y = 4
46
k ÷ 9 = d
1
Question 3:
a + 3
Which of the following are equations?
Check all that are true.
=
7 + y
3(a + 2a) = 18
9/z = 5
3 + 4 = y
Question 4:
Which of the following are equations?
Check all that are true.
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?
Check all that are true.
y + 7
15 = x − 2
52 = 25
y
34
Question 1:
Which of the following are equations?
Check all that are true.
10 = y + 6
t − 5
16
t = 213
z
Question 2:
Which of the following are variables?
Check all that are true.
35 = 5y
z
x
13 + t
Question 3:
v = a3
Which of the following are variables?
Check all that are true.
p/q
x = y
v
y
8 ÷ (3 + 4)
Question 4:
Which of the following are expressions?
Check all that are true.
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:
Find the value of the expression.
4 + y
where y = 9
Question 2:
Find the value of the expression.
where a = 12 and b = 2
Question 3:
a
2 · b
Find the value of the expression.
where a = 3; c = 6
Question 4:
4 · a
2 · c
Find the value of the expression.
3a + 9
where a = 6
Question 5:
Lesson Topic: Identify equations, expressions, and variables
What is the variable in this expression?
2a + 9a + 10
Question 1:
What is the variable in this expression?
9x + 7x + 13
Question 2:
What is the variable in this expression?
5a + 11a + 10
Question 3:
What is the variable in this expression?
7b + 6b + 2
Question 4:
Which of these are equations?
Check all that are true.
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)
Check all that are true.
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:
Which statements are true for the following expression?
5 • (2c + 4 + 9)
Check all that are true.
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.
The solution is the product of two factors.
Question 2:
Which statements are true for the following expression?
5x + 3y + 10
Check all that are true.
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.
Which statements are true for the following expression?
Check all that are true.
All factors are the sum of two terms.
The solution is the quotient of two factors and a term.
The solution is the product of two factors.
The first factor is itself the sum of two terms.
The coefficients are 2 and 5.
Question 4:
(b + 4)(c − 5)
4
Which statements are true for the following expression?
(8 + 7)(11+7)
Check all that are true.
The solution is the difference between two terms.
The first factor is itself the sum of two terms.
The solution is the quotient of two factors.
The solution is the product 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:
Combine like terms to simplify the expression:
-5y + 12 + 8y − 6 − 2 = ______
4 + 13y
4 + 3y
-3y + 12
4 − 3y
6 − y
Question 2:
Combine like terms to simplify the expression:
7 − 3x + 3 + 8x = ______
10x
4 + 11x
8 + 5x
10 + 5x
Question 3:
8 − 5x
Combine like terms to simplify the expression:
8y + 10 − 4 − 5y = ______
14 + 3y
6 + 3y
14 + 13y
6 + 13y
8 + 5y
Question 4:
Combine like terms to simplify the expression:
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:
Use the distributive property to find the equivalent expression.
3(7 + 2d) = + d
Question 2:
Use the distributive property to find the equivalent expression.
4(3 + 10y) = + y
Question 3:
Use the distributive property to find the equivalent expression.
9(2 + 3x) = + x
Question 4:
Use the distributive property to find the equivalent expression.
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?
Divide both sides of the equation by 6
Subtract 6 from both sides of the equation
Add 6 to both sides of the equation
Multiply both sides of the equation by 6
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?
Divide both sides of the equation by 20
Add 20 to both sides of the equation
Subtract 20 from both sides of the equation
Multiply both sides of the equation by 20
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: