Podcast
Questions and Answers
How much money does Jared have left if he buys 5 packs of trading cards at $3 each and a display book for $7?
How much money does Jared have left if he buys 5 packs of trading cards at $3 each and a display book for $7?
10
How much money does David spend on 3 movie tickets for $6 each and 2 bags of popcorn for $2 each?
How much money does David spend on 3 movie tickets for $6 each and 2 bags of popcorn for $2 each?
22
What is the result of simplifying the expression $4 \times 9 \times 50$?
What is the result of simplifying the expression $4 \times 9 \times 50$?
1800
What is the result of $(33 + 45) + 7$?
What is the result of $(33 + 45) + 7$?
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What property is demonstrated by the equation $1 + (6 + 7) = (1 + 6) + 7$?
What property is demonstrated by the equation $1 + (6 + 7) = (1 + 6) + 7$?
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What is the identity property illustrated by the equation $1 \times 10 = 10$?
What is the identity property illustrated by the equation $1 \times 10 = 10$?
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Which property is shown by $3 \times 5 = 5 \times 3$?
Which property is shown by $3 \times 5 = 5 \times 3$?
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What does the expression $4 \times (4 \times 2) = (4 \times 4) \times 2$ demonstrate?
What does the expression $4 \times (4 \times 2) = (4 \times 4) \times 2$ demonstrate?
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If $K=5$, what is the value of $K + 9$?
If $K=5$, what is the value of $K + 9$?
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If $K=2$, what is the value of $K + 9$?
If $K=2$, what is the value of $K + 9$?
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What is the expression for 'w increased by 5'?
What is the expression for 'w increased by 5'?
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What is the expression for the difference of 3 times a number and 7?
What is the expression for the difference of 3 times a number and 7?
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What property is illustrated by $9 + 8 = 8 + 9$?
What property is illustrated by $9 + 8 = 8 + 9$?
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What does the equation $5 + 0 = 5$ demonstrate?
What does the equation $5 + 0 = 5$ demonstrate?
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What is the identity property illustrated by $27 \times 1 = 27$?
What is the identity property illustrated by $27 \times 1 = 27$?
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What property is shown by $8 \times (6 \times 2) = (8 \times 6) \times 2$?
What property is shown by $8 \times (6 \times 2) = (8 \times 6) \times 2$?
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What is the expression for $3n$ when $n=4$?
What is the expression for $3n$ when $n=4$?
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What is the value of $X + 8$ for $x=8$?
What is the value of $X + 8$ for $x=8$?
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If $w=20$, how many days are there in 20 weeks using the expression $7w$?
If $w=20$, how many days are there in 20 weeks using the expression $7w$?
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How many hours does Tyrone work in 5 days if he works 8 hours a day?
How many hours does Tyrone work in 5 days if he works 8 hours a day?
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What is the value of $c-9$ when $c=11$?
What is the value of $c-9$ when $c=11$?
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What is the value of $7q$ for $q=10$?
What is the value of $7q$ for $q=10$?
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What is the result of $2y + 9$ when $y=8$?
What is the result of $2y + 9$ when $y=8$?
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What is the value of $a - 4$ for $a=9$?
What is the value of $a - 4$ for $a=9$?
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What does $a + 7$ yield if $a=3$?
What does $a + 7$ yield if $a=3$?
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What is the value of $12 + m$ when $m=9$?
What is the value of $12 + m$ when $m=9$?
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Evaluate $2x - 5y$ for $x=33$ and $y=9$.
Evaluate $2x - 5y$ for $x=33$ and $y=9$.
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What expression represents 26 increased by 12 times a number?
What expression represents 26 increased by 12 times a number?
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What is the expression for the difference of 2 times a number and 6?
What is the expression for the difference of 2 times a number and 6?
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What is the expression for 18 less than the product of a number and 4?
What is the expression for 18 less than the product of a number and 4?
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What is the product of 3 and n?
What is the product of 3 and n?
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What does a number decreased by 9 represent mathematically?
What does a number decreased by 9 represent mathematically?
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What is the expression for 48 more than the product of a number and 64?
What is the expression for 48 more than the product of a number and 64?
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What does the expression $y + 5y$ simplify to?
What does the expression $y + 5y$ simplify to?
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What does $9x - 4x$ simplify to?
What does $9x - 4x$ simplify to?
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What is the result of $5s - 2s$?
What is the result of $5s - 2s$?
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What is the absolute value of -18?
What is the absolute value of -18?
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What is the absolute value of -10?
What is the absolute value of -10?
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What integer represents Christy's depth of 12 feet below the surface of the water?
What integer represents Christy's depth of 12 feet below the surface of the water?
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What is the result of $7 - 11$?
What is the result of $7 - 11$?
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What is the value of $-7 - 6$?
What is the value of $-7 - 6$?
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What is the result of $8.67 - 6.87$?
What is the result of $8.67 - 6.87$?
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What is $28.94 - 9.48$?
What is $28.94 - 9.48$?
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What does $6.14 + 8.91$ equal?
What does $6.14 + 8.91$ equal?
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What is the sum of $4.51 + 13.08$?
What is the sum of $4.51 + 13.08$?
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What is the result of $6 \times 0.3$?
What is the result of $6 \times 0.3$?
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What is $3 \times 0.05$ equal to?
What is $3 \times 0.05$ equal to?
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What is the result of $-3 \times 0.03$?
What is the result of $-3 \times 0.03$?
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What is the result of $5.34 - 2.08$?
What is the result of $5.34 - 2.08$?
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What is the result of $-8 + (-5)$?
What is the result of $-8 + (-5)$?
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What is the result of $-7 + (-4)$?
What is the result of $-7 + (-4)$?
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What expression represents the perimeter of an equilateral triangle with side length $4x-5$?
What expression represents the perimeter of an equilateral triangle with side length $4x-5$?
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Study Notes
Money and Cost Problems
- Jared has $32, spends on trading cards ($3 each for 5 packs) and a display book ($7). Left with $10 after purchases.
- David spends on movies ($6 each for 3 tickets) and popcorn ($2 each for 2 bags). Total expenditure is $22.
Mathematical Calculations
- Multiplication of constants: 4 x 9 x 50 equals 1800.
- Addition of two numbers: (33 + 45) + 7 results in 85.
Properties of Operations
- Associative Property: 1 + (6 + 7) equals (1 + 6) + 7.
- Identity Property: 1 x 10 equals 10, and 5 + 0 equals 5.
- Commutative Property: 3 x 5 equals 5 x 3 and 9 + 8 equals 8 + 9.
Expressions and Evaluations
- Variable expressions include K + 9 for K = 5 resulting in 14, and for K = 2 resulting in 11.
- General expression for 'w' increased by 5 is w + 5; difference expressed as 3n - 7 for a number n.
- Evaluating expressions: 3n for n = 4 gives 12, X + 8 for x = 8 gives 16.
- 7w for w = 20 calculates to 140 (days in weeks).
Algebraic Operations
- Tyrone's work calculation for 5 days: 8 x d gives 40 hours worked.
- Expressions in standard form: c - 9 for c = 11 results in 2, while 7q for q = 10 computes to 70.
Simplifying Expressions
- Various terms simplifications include 2y + 9 for y = 8 resulting in 25, and a - 4 for a = 9 equaling 5.
Absolute Values and Integers
- Absolute values are defined: | -18 | equals 18, and | -10 | equals 10.
- Christy's depth is expressed as -12 feet; subtraction examples include 7 - 11 resulting in -4, and -7 - 6 equating to -13.
Decimal Operations
- Arithmetic operations on decimals yield results: 8.67 - 6.87 gives 1.80, 28.94 - 9.48 results in 19.46.
- Addition of decimals: 6.14 + 8.91 equals 15.05, while 4.51 + 13.08 results in 17.59.
Multiplication Facts
- Multipling decimals yields: 6 x 0.3 equals 1.8, and 3 x 0.05 equals 0.15.
- Negative multiplication gives -3 x 0.03 equaling -0.90.
Perimeter of Shapes
- For an equilateral triangle with side length represented as 4x - 5, the perimeter is expressed as 12x - 5.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your skills with these pre algebra math problems designed for 7th graders. Each flashcard presents a different problem that requires simplification and basic arithmetic. Perfect for practice or review!
