Math / Algebra

QuestionSave $\alpha$ Exit Certify Lesson: 2.1c Evaluating Algebraic Expressi... Question 2 of 14, Step 1 of 1 1/14 Correct Evaluate the following algebraic expression at $x=3, y=2$ and simplify your answer. $2 x^{2}-5 y^{2}-2$
Answer

Studdy Solution

STEP 1

1. The given algebraic expression is $2x^2 - 5y^2 - 2$ .
2. We need to evaluate the expression at $x = 3$ and $y = 2$ .
3. The final answer should be a simplified numerical value.

STEP 2

1. Substitute $x = 3$ into the expression.
2. Substitute $y = 2$ into the expression.
3. Simplify the resulting expression to obtain the final numerical value.

STEP 3

Substitute $x = 3$ into the expression $2x^2 - 5y^2 - 2$ .
$2(3)^2 - 5y^2 - 2$

STEP 4

Substitute $y = 2$ into the expression resulting from STEP_1.
$2(3)^2 - 5(2)^2 - 2$

STEP 5

Calculate the powers and perform the arithmetic operations.
$2(9) - 5(4) - 2$
$18 - 20 - 2$
$18 - 22$
$-4$
Therefore, the evaluated and simplified expression is:
$-4$

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QuestionSave $\alpha$ Exit Certify Lesson: 2.1c Evaluating Algebraic Expressi... Question 2 of 14, Step 1 of 1 1/14 Correct Evaluate the following algebraic expression at $x=3, y=2$ and simplify your answer. $2 x^{2}-5 y^{2}-2$
Answer

Studdy Solution

STEP 1

1. The given algebraic expression is $2x^2 - 5y^2 - 2$ .
2. We need to evaluate the expression at $x = 3$ and $y = 2$ .
3. The final answer should be a simplified numerical value.

STEP 2

1. Substitute $x = 3$ into the expression.
2. Substitute $y = 2$ into the expression.
3. Simplify the resulting expression to obtain the final numerical value.

STEP 3

Substitute $x = 3$ into the expression $2x^2 - 5y^2 - 2$ .
$2(3)^2 - 5y^2 - 2$

STEP 4

Substitute $y = 2$ into the expression resulting from STEP_1.
$2(3)^2 - 5(2)^2 - 2$

STEP 5

Calculate the powers and perform the arithmetic operations.
$2(9) - 5(4) - 2$
$18 - 20 - 2$
$18 - 22$
$-4$
Therefore, the evaluated and simplified expression is:
$-4$

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QuestionSave α\alphaα Exit Certify Lesson: 2.1c Evaluating Algebraic Expressi... Question 2 of 14, Step 1 of 1 1/14 Correct Evaluate the following algebraic expression at x=3,y=2x=3, y=2x=3,y=2 and simplify your answer. 2x2−5y2−22 x^{2}-5 y^{2}-22x2−5y2−2Answer

Studdy Solution

STEP 1

1. The given algebraic expression is 2x2−5y2−22x^2 - 5y^2 - 22x2−5y2−2.2. We need to evaluate the expression at x=3x = 3x=3 and y=2y = 2y=2.3. The final answer should be a simplified numerical value.

STEP 2

1. Substitute x=3x = 3x=3 into the expression.2. Substitute y=2y = 2y=2 into the expression.3. Simplify the resulting expression to obtain the final numerical value.

STEP 3

Substitute x=3x = 3x=3 into the expression 2x2−5y2−22x^2 - 5y^2 - 22x2−5y2−2.2(3)2−5y2−22(3)^2 - 5y^2 - 22(3)2−5y2−2

STEP 4

Substitute y=2y = 2y=2 into the expression resulting from STEP_1.2(3)2−5(2)2−22(3)^2 - 5(2)^2 - 22(3)2−5(2)2−2

STEP 5

Calculate the powers and perform the arithmetic operations.2(9)−5(4)−22(9) - 5(4) - 22(9)−5(4)−218−20−218 - 20 - 218−20−218−2218 - 2218−22−4-4−4Therefore, the evaluated and simplified expression is:−4-4−4

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QuestionSave $\alpha$ Exit Certify Lesson: 2.1c Evaluating Algebraic Expressi... Question 2 of 14, Step 1 of 1 1/14 Correct Evaluate the following algebraic expression at $x=3, y=2$ and simplify your answer. $2 x^{2}-5 y^{2}-2$
Answer

1. The given algebraic expression is $2x^2 - 5y^2 - 2$ .
2. We need to evaluate the expression at $x = 3$ and $y = 2$ .
3. The final answer should be a simplified numerical value.

1. Substitute $x = 3$ into the expression.
2. Substitute $y = 2$ into the expression.
3. Simplify the resulting expression to obtain the final numerical value.

Substitute $x = 3$ into the expression $2x^2 - 5y^2 - 2$ .
$2(3)^2 - 5y^2 - 2$

Substitute $y = 2$ into the expression resulting from STEP_1.
$2(3)^2 - 5(2)^2 - 2$

Calculate the powers and perform the arithmetic operations.
$2(9) - 5(4) - 2$
$18 - 20 - 2$
$18 - 22$
$-4$
Therefore, the evaluated and simplified expression is:
$-4$