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1-1 Numbers and Patterns1-2 Exponents1-3 Order of Operations1-4 Properties of Numbers1-5 Evaluating Algebraic Expressions1-6 Writing Algebraic Expressions1-7 Equations and Their Solutions1-8 Solving Equations by Subtracting1-9 Solving Equations by Adding1-10 Solving Equations by Dividing1-11 Solving Equations by Multiplying
PreviewPreview
Lesson QuizzesLesson Quizzes
Identify a possible pattern. Use your pattern to write next three numbers.
Lesson Quiz: Part I
1. –8, –6, –4, , , , …
Add 2; –2, 0, 2
2. –3, 6, –12, 24, , , , …
Multiply by –2; –48, 96, –192
3. 0, 1, 3, 6, 10, , , , …
Add 1 more than the number previously added; 15, 21, 28.
1-1 Numbers and Patterns
Identify a possible pattern. Use your pattern to draw the next three figures.
4.
5. Make a table that shows the number of dots in the figure. Tell how
many dots are in the seventh figure of a possible pattern. Use drawings to justify your answer.
Lesson Quiz: Part II
14
1-1 Numbers and Patterns
Lesson Quiz
Find each value.
1. 73
3. 34
Write each number using an exponent and the given base.
5. 125, base 5
6. 16, base 2
7. Find the volume of a cube if each side is 12 inches long.
216343
812. 63
4. 85 32,768
53
24
1,728 in3
1-2 Exponents
Lesson Quiz: Part I
Simplify each expression.
1. 27 + 56 ÷ 7
2. 9 7 – 5
3. (28 – 8) ÷ 4
4. 136 – 102 ÷ 5
5. (9 – 5)3 (7 + 1)2 ÷ 4
58
35
5
116
1,024
1-3 Order of Operations
Lesson Quiz: Part II
6. Denzel paid a basic fee of $35 per month plus
$2 for each phone call beyond his basic plan.
Simplify the expression 35 + 8(2) to find how
much Denzel paid for a month with 8 calls
beyond the basic plan.
$51
1-3 Order of Operations
Lesson QuizTell which property is represented.
1. 17 1 = 17
2. (12 + 14) + 5 = 12 + (14 + 5)
3. 2 16 = 16 2
Simplify each expression. Justify each step.
4. 4 12 25
5. 48 + (15 + 2)
Use the Distributive Property to find each product.
6. 6 (12 + 5)
7. (20 – 7) 9
Identity Property
Associative Property
Commutative Property
1,200
65
102117
1-4 Properties of Numbers
Lesson QuizEvaluate n + 7 for each value of n.
1. n = 25 2. n = 31
Evaluate each algebraic expression for the given value of the variables
3. 6y – 5 for y = 7
4. 4x2 + 3x for x = 6
5. + 3y for x = 4 and y = 3
6. The expression 7d gives the number of days in d weeks. Evaluate 7d for d = 12. How many days are in 12 weeks?
3832
37
162
56x 23
84
1-5 Evaluating Algebraic Expressions
Lesson Quiz
Write each phrase as an algebraic expression.
1. 18 less than a number
2. the quotient of a number and 21
3. 8 times the sum of x and 15
4. 7 less than the product of a number and 5
x – 18
8(x + 15)
5n – 7
5. The county fair charges an admission of $6 and then charges $2 for each ride. Write an algebraic expression to represent the total cost after r rides at the fair. 6 + 2r
x21
1-6 Writing Algebraic Expressions
Determine whether the given value of each variable is a solution.
1. 85 = 13x for x = 5
2. w + 38 = 210 for w = 172
3. 8y = 88 for y = 11
4. 16 = w 6 for w = 98
Lesson Quiz
no
yes
yes
no
no
5. The local pizza shop charged Kylee $172 for 21 medium pizzas. The price of a medium pizza is $8. Determine if Kylee paid the correct amount of money. (Hint: $8 • pizzas = total cost.)
1-7 Equations and Their Solutions
Solve each equation.
1. x + 15 = 72
2. 81 = x + 24
3. x + 22 = 67
4. 93 = x + 14
Lesson Quiz
x = 57
x = 57
x = 45
x = 79
56 inches5. Kaitlin is 2 inches taller than Reba. Reba is
54 inches tall. How tall is Kaitlin?
1-8 Solving Equations by Subtracting
1. x – 9 = 21
2. 14 = x – 3
3. x – 7 = 11
4. 16 = x – 14
5. x – 9 = 11
Lesson Quiz
6. Susan is taller than James. The difference in their height is 4 inches. James is 62 inches tall. How tall is Susan?
x = 30
x = 17
x = 18
x = 30
x = 20
66 inches
1-9 Solving Equations by Adding
Solve each equation.
1. 10y = 300
2. 2y = 82
3. 63 = 9y
4. 78 = 13x
Lesson Quiz
5. The area of a board game is 468 square inches. Its width is 18 inches. What is the length?
y = 30
y = 41
y = 7
x = 6
26 inches
1-10 Solving Equations by Dividing
1. = 7
2. 8 =
3. = 11
4. = 7
Lesson Quiz
5. The area of Sherry’s flower garden is one-fourth the area of her vegetable garden. Thearea of the flower garden is 17 square feet. Let xrepresent the area of her vegetable garden. Findthe area of her vegetable garden.
x = 70
x = 32
x = 99
x = 105
68 square feet
x 4
x 9
Solve each equation. Check your answers.
x 10
x 15
1-11 Solving Equations by Multiplying