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?
10
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 $4 \times 9 \times 50$?
1800
What is the result of $(33 + 45) + 7$?
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What property is demonstrated by the equation $1 + (6 + 7) = (1 + 6) + 7$?
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What is the identity property illustrated by the equation $1 \times 10 = 10$?
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Which property is shown by $3 \times 5 = 5 \times 3$?
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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 $K + 9$?
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If $K=2$, what is the value of $K + 9$?
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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?
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What property is illustrated by $9 + 8 = 8 + 9$?
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What does the equation $5 + 0 = 5$ demonstrate?
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What is the identity property illustrated by $27 \times 1 = 27$?
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What property is shown by $8 \times (6 \times 2) = (8 \times 6) \times 2$?
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What is the expression for $3n$ when $n=4$?
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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 $7w$?
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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 $c=11$?
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What is the value of $7q$ for $q=10$?
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What is the result of $2y + 9$ when $y=8$?
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What is the value of $a - 4$ for $a=9$?
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What does $a + 7$ yield if $a=3$?
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What is the value of $12 + m$ when $m=9$?
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Evaluate $2x - 5y$ for $x=33$ and $y=9$.
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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?
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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?
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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?
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What does the expression $y + 5y$ simplify to?
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What does $9x - 4x$ simplify to?
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What is the result of $5s - 2s$?
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What is the absolute value of -18?
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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?
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What is the result of $7 - 11$?
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What is the value of $-7 - 6$?
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What is the result of $8.67 - 6.87$?
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What is $28.94 - 9.48$?
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What does $6.14 + 8.91$ equal?
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What is the sum of $4.51 + 13.08$?
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What is the result of $6 \times 0.3$?
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What is $3 \times 0.05$ equal to?
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What is the result of $-3 \times 0.03$?
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What is the result of $5.34 - 2.08$?
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What is the result of $-8 + (-5)$?
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What is the result of $-7 + (-4)$?
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What expression represents the perimeter of an equilateral triangle with side length $4x-5$?
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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
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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!
