🧮 algebra

1. The problem is to find the 2nd term of a sequence or series, but the exact sequence is not specified. 2. To find the 2nd term, we need the formula or rule defining the sequence.

1. **State the problem:** We need to write the piecewise function $f(x)$ based on the given graph description. 2. **Analyze the first part:** The first part is a line segment from

1. **State the problem:** Solve the system of equations: $$y = x^2 - 4x - 4$$

1. **State the problem:** Solve the system of equations: $$y = x^2 - 7x - 5$$

1. **State the problem:** Simplify the expression $\frac{a^2}{a^{-3}}$. 2. **Recall the rule for division of exponents with the same base:** When dividing powers with the same base

1. The problem is to evaluate $43^5$. 2. The expression $43^5$ means multiplying 43 by itself 5 times: $$43^5 = 43 \times 43 \times 43 \times 43 \times 43$$

1. **State the problem:** Simplify the expression $$\frac{3^6}{3^2}$$. 2. **Recall the exponent division rule:** When dividing powers with the same base, subtract the exponents:

1. The problem states that $x$ and $y$ vary inversely, meaning their product is constant. This can be written as the formula: $$xy = k$$

1. The problem is to solve the expression labeled as number 8: $$8m^2 - 6m - 9$$ and verify if it equals the product $$(2m - 3)(4m + 3)$$. 2. First, recall the distributive propert

1. The problem is to solve a 9th grade math problem, but since no specific problem was given, let's consider a common example: solving a linear equation such as $2x + 3 = 11$. 2. T

1. **State the problem:** Solve the equation $$4 - 9 + 2(n + 3) = 4n - 7$$ for $n$. 2. **Rewrite the equation:** Simplify the left side by distributing and combining like terms.

1. **State the problem:** Simplify the expression $$\frac{2b^{-2} \cdot (2a^{-3} b^{4})^{4}}{a^{-3} b^{2}}$$. 2. **Recall the exponent rules:**

1. The problem asks to choose the inequality that matches the graph shown. 2. The graph shows a number line from -5 to 5 with a solid dot at 5 and an arrow extending to the left.

1. The problem asks to choose the inequality that matches the graph shown. 2. The graph shows a number line from -5 to 5 with an open circle at 0 and a blue arrow extending to the

1. **State the problem:** Solve the equation $$7 + y = 5(2y - 1) + 3y$$ for $y$. 2. **Expand the right side:** Use the distributive property to expand $$5(2y - 1)$$.

1. Stating the problem: We have four equations involving $n$: 1) $65 + 35 = n$

1. **State the problem:** Factor the expression $x^2$. 2. **Recall the factoring rule:** The expression $x^2$ is a perfect square and can be factored as $x \times x$.

1. **State the problem:** We have a flower bed with dimensions width $x$ meters and length $3x$ meters.

1. **State the problem:** We need to sketch a possible graph of a polynomial with the following characteristics: - Degree 3 (cubic polynomial)

1. **State the problem:** We have a rectangular piece of aluminum with length $x+3$ cm and width $x$ cm. Four squares of side length 2 cm are cut from each corner, and the sides ar

1. **State the problem:** We need to determine which values of $c$ satisfy the inequality $$6c + 4 < 75.$$\n\n2. **Write the inequality and solve for $c$: **\n$$6c + 4 < 75$$\nSubt