QuestionWrite an expression for 5 times $(x + 7)$ minus $4^3$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to write an algebraic expression. . The expression is "five times the quantity $x$ increased by seven, minus four cubed."
3. In this context, "increased by" means addition.
4. "Four cubed" means four to the power of three.

STEP 2

First, let's write an expression for "the quantity $x$ increased by seven". This can be represented as $x +7$ .

STEP 3

Now, we need to represent "five times the quantity $x$ increased by seven". We can do this by multiplying the expression from step2 by5. This gives us $5(x +7)$ .

STEP 4

Finally, we need to subtract "four cubed" from the expression in step3. "Four cubed" is $4^3$ or64. So, the final expression is $(x +7) -4^3$ .

STEP 5

implify the expression to get the final algebraic expression.
$5(x +7) -4^3 =5x +35 -64$

STEP 6

Further simplify the expression to get the final algebraic expression.
$5x +35 -64 =5x -29$ The algebraic expression that represents "five times the quantity $x$ increased by seven, minus four cubed" is $5x -29$ .

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QuestionWrite an expression for 5 times $(x + 7)$ minus $4^3$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to write an algebraic expression. . The expression is "five times the quantity $x$ increased by seven, minus four cubed."
3. In this context, "increased by" means addition.
4. "Four cubed" means four to the power of three.

STEP 2

First, let's write an expression for "the quantity $x$ increased by seven". This can be represented as $x +7$ .

STEP 3

Now, we need to represent "five times the quantity $x$ increased by seven". We can do this by multiplying the expression from step2 by5. This gives us $5(x +7)$ .

STEP 4

Finally, we need to subtract "four cubed" from the expression in step3. "Four cubed" is $4^3$ or64. So, the final expression is $(x +7) -4^3$ .

STEP 5

implify the expression to get the final algebraic expression.
$5(x +7) -4^3 =5x +35 -64$

STEP 6

Further simplify the expression to get the final algebraic expression.
$5x +35 -64 =5x -29$ The algebraic expression that represents "five times the quantity $x$ increased by seven, minus four cubed" is $5x -29$ .

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QuestionWrite an expression for 5 times (x+7)(x + 7)(x+7) minus 434^343.

Studdy Solution

STEP 1

Assumptions1. We are asked to write an algebraic expression. . The expression is "five times the quantity xxx increased by seven, minus four cubed."3. In this context, "increased by" means addition.4. "Four cubed" means four to the power of three.

STEP 2

First, let's write an expression for "the quantity xxx increased by seven". This can be represented as x+7x +7x+7.

STEP 3

Now, we need to represent "five times the quantity xxx increased by seven". We can do this by multiplying the expression from step2 by5. This gives us 5(x+7)5(x +7)5(x+7).

STEP 4

Finally, we need to subtract "four cubed" from the expression in step3. "Four cubed" is 434^343 or64. So, the final expression is (x+7)−43(x +7) -4^3(x+7)−43.

STEP 5

implify the expression to get the final algebraic expression.5(x+7)−43=5x+35−645(x +7) -4^3 =5x +35 -645(x+7)−43=5x+35−64

STEP 6

Further simplify the expression to get the final algebraic expression.5x+35−64=5x−295x +35 -64 =5x -295x+35−64=5x−29The algebraic expression that represents "five times the quantity xxx increased by seven, minus four cubed" is 5x−295x -295x−29.

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QuestionWrite an expression for 5 times $(x + 7)$ minus $4^3$ .

Assumptions1. We are asked to write an algebraic expression. . The expression is "five times the quantity $x$ increased by seven, minus four cubed."
3. In this context, "increased by" means addition.
4. "Four cubed" means four to the power of three.

First, let's write an expression for "the quantity $x$ increased by seven". This can be represented as $x +7$ .

Now, we need to represent "five times the quantity $x$ increased by seven". We can do this by multiplying the expression from step2 by5. This gives us $5(x +7)$ .

Finally, we need to subtract "four cubed" from the expression in step3. "Four cubed" is $4^3$ or64. So, the final expression is $(x +7) -4^3$ .

implify the expression to get the final algebraic expression.
$5(x +7) -4^3 =5x +35 -64$

Further simplify the expression to get the final algebraic expression.
$5x +35 -64 =5x -29$ The algebraic expression that represents "five times the quantity $x$ increased by seven, minus four cubed" is $5x -29$ .