evaluate the expression when $x = 2$ and $y = -3$.
1. $3x + 10$
2. $14 - 2y$
3. $5 - y^2$
4. $4x^2 + 9$
5. $y^2 + 8y - 4$
6. $-3x^2 - x + 7$
7. $0.75x - 4x - 1.5$
8. $3(y + 8 - 4y)$
9. $2x + 3y$
10. $6y - 5x$
11. $4x^2 + 3y$
12. $x^2 - y^2$
13. $y - x + y^2$
14. $x^2y^2 + xy$
15. $\frac{x + y}{y - x}$
16. $\frac{2x + y}{xy}$

copy and complete the table.
17.
$\begin{array}{|c|c|c|c|c|c|}
\hline
x & 0 & 1 & 2 & 3 & 4 \\
\hline
3x - 2 & & & & & \\
\hline
\end{array}$

18.
$\begin{array}{|c|c|c|c|c|c|}
\hline
x & -2 & -1 & 0 & 1 & 2 \\
\hline
-4x + 1 & & & & & \\
\hline
\end{array}$

19. money you earn $8x + 7y$ dollars for working $x$ hours at a restaurant and $y$ hours at a bus station. how much do you earn for working 12 hours at the restaurant and 16 hours at the bus station?

Question

evaluate the expression when $x = 2$ and $y = -3$.
1. $3x + 10$
2. $14 - 2y$
3. $5 - y^2$
4. $4x^2 + 9$
5. $y^2 + 8y - 4$
6. $-3x^2 - x + 7$
7. $0.75x - 4x - 1.5$
8. $3(y + 8 - 4y)$
9. $2x + 3y$
10. $6y - 5x$
11. $4x^2 + 3y$
12. $x^2 - y^2$
13. $y - x + y^2$
14. $x^2y^2 + xy$
15. $\frac{x + y}{y - x}$
16. $\frac{2x + y}{xy}$

copy and complete the table.
17.
$\begin{array}{|c|c|c|c|c|c|}
\hline
x & 0 & 1 & 2 & 3 & 4 \\
\hline
3x - 2 & & & & & \\
\hline
\end{array}$

18.
$\begin{array}{|c|c|c|c|c|c|}
\hline
x & -2 & -1 & 0 & 1 & 2 \\
\hline
-4x + 1 & & & & & \\
\hline
\end{array}$

19. money you earn $8x + 7y$ dollars for working $x$ hours at a restaurant and $y$ hours at a bus station. how much do you earn for working 12 hours at the restaurant and 16 hours at the bus station?

Accepted Answer

{ "quality": "clear", "question_count": 19, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Algebraic Simplification", "Order of Operations", "Arithmetic Simplification" ], "new_concepts": [ "Algebraic Evaluation", "Function Tables", "Linear Modeling" ], "current_concepts": [ "Algebraic Evaluation", "Function Tables", "Linear Modeling", "Algebraic Simplification", "Order of Operations", "Arithmetic Simplification" ] } ## Evaluate expressions 1 to 8 $$ \begin{aligned} &\text{1. } 3(2) + 10 = 6 + 10 = 16\ &\text{2. } 14 - 2(-3) = 14 + 6 = 20\ &\text{3. } 5 - (-3)^2 = 5 - 9 = -4\ &\text{4. } 4(2)^2 + 9 = 4(4) + 9 = 25\ &\text{5. } (-3)^2 + 8(-3) - 4 = 9 - 24 - 4 = -19\ &\text{6. } -3(2)^2 - 2 + 7 = -3(4) - 2 + 7 = -7\ &\text{7. } 0.75(2) - 4(-3) - 1.5 = 1.5 + 12 - 1.5 = 12\ &\text{8. } 3(-3 + 8 - 4(-3)) = 3(5 + 12) = 3(17) = 51 \end{aligned} $$ ## Evaluate expressions 9 to 16 $$ \begin{aligned} &\text{9. } 2(2) + 3(-3) = 4 - 9 = -5\ &\text{10. } 6(-3) - 5(2) = -18 - 10 = -28\ &\text{11. } 4(2)^2 + 3(-3) = 16 - 9 = 7\ &\text{12. } 2^2 - (-3)^2 = 4 - 9 = -5\ &\text{13. } -3 - 2 + (-3)^2 = -5 + 9 = 4\ &\text{14. } 2^2(-3)^2 + 2(-3) = 4(9) - 6 = 30\ &\text{15. } \frac{2 + (-3)}{-3 - 2} = \frac{-1}{-5} = \frac{1}{5}\ &\text{16. } \frac{2(2) + (-3)}{2(-3)} = \frac{4 - 3}{-6} = -\frac{1}{6} \end{aligned} $$ ## Complete tables 17 and 18 $$ \begin{aligned} &\text{17. } 3x - 2 \text{ for } x = 0, 1, 2, 3, 4:\ &x=0 \implies -2;\quad x=1 \implies 1;\quad x=2 \implies 4;\quad x=3 \implies 7;\quad x=4 \implies 10\ &\text{18. } -4x + 1 \text{ for } x = -2, -1, 0, 1, 2:\ &x=-2 \implies 9;\quad x=-1 \implies 5;\quad x=0 \implies 1;\quad x=1 \implies -3;\quad x=2 \implies -7 \end{aligned} $$ ## Solve word problem 19 $$ \begin{aligned} &\text{Expression: } 8x + 7y\ &\text{Given: } x = 12, y = 16\ &\text{Earnings: } 8(12) + 7(16) = 96 + 112 = 208 \end{aligned} $$ | No. | Answer | |---|---| | 1 | $16$ | | 2 | $20$ | | 3 | $-4$ | | 4 | $25$ | | 5 | $-19$ | | 6 | $-7$ | | 7 | $12$ | | 8 | $51$ | | 9 | $-5$ | | 10 | $-28$ | | 11 | $7$ | | 12 | $-5$ | | 13 | $4$ | | 14 | $30$ | | 15 | $\frac{1}{5}$ | | 16 | $-\frac{1}{6}$ | | 17 | For $x = 0, 1, 2, 3, 4$, the values are $-2, 1, 4, 7, 10$ | | 18 | For $x = -2, -1, 0, 1, 2$, the values are $9, 5, 1, -3, -7$ | | 19 | $\$208$ | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Algebraic Evaluation" ] }

No.	Answer
2	\(20\)
3	\(-4\)
4	\(25\)
5	\(-19\)
6	\(-7\)
7	\(12\)
8	\(51\)
9	\(-5\)
10	\(-28\)
11	\(7\)
12	\(-5\)
13	\(4\)
14	\(30\)
15	\(\frac{1}{5}\)
16	\(-\frac{1}{6}\)
17	For \(x = 0, 1, 2, 3, 4\), the values are \(-2, 1, 4, 7, 10\)
18	For \(x = -2, -1, 0, 1, 2\), the values are \(9, 5, 1, -3, -7\)
19	\(\$208\)

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Evaluate expressions 1 to 8

Evaluate expressions 9 to 16

Complete tables 17 and 18

Solve word problem 19

Answer: