🧮 algebra

1. **State the problem:** We want to find which expressions are equivalent to $$-6n + (-12) + 4n$$. 2. **Simplify the original expression:** Combine like terms.

1. **State the problem:** We want to find which expressions are equivalent to $$-2(2h+10)+4h$$. 2. **Apply the distributive property:** Multiply $$-2$$ by each term inside the pare

1. **State the problem:** Simplify the expression $$-3z - (-z - 2)$$ to find an equivalent expression. 2. **Recall the rule:** Subtracting a quantity in parentheses means changing

1. **State the problem:** Simplify the expression $$-5(1-5k)-4(2k+5)$$ to find an equivalent expression. 2. **Apply the distributive property:** Multiply each term inside the paren

1. The problem is to simplify the expression $$-k - (-8k + 7)$$ and find an equivalent expression. 2. The key rule here is to distribute the negative sign across the parentheses. W

1. **State the problem:** Simplify the expression $$-k - (-8k + 7)$$ to find an equivalent expression. 2. **Recall the rule:** When subtracting a quantity in parentheses, distribut

1. The problem is to simplify the expression $$-5(3p+3)+9(-7+p)$$ to find an equivalent expression. 2. Use the distributive property: $$a(b+c) = ab + ac$$ to expand both terms.

1. **State the problem:** Simplify the expression $$-5(3p+3)+9(-7+p)$$ to find an equivalent expression. 2. **Apply the distributive property:** Multiply each term inside the paren

1. **State the problem:** Jim's car has 25 miles worth of gas left. We need to determine if he can drive from his house to the grocery store and back without refueling. 2. **Identi

1. **State the problem:** Solve the system of equations: $$-3x - 2y = -4$$

1. **State the problem:** Solve the system of linear equations: $$9x - 2y = -50$$

1. **State the problem:** Find the slope of the line passing through the points $(-21, 1)$ and $(49, 97)$. 2. **Formula for slope:** The slope $m$ between two points $(x_1, y_1)$ a

1. **State the problem:** Find the slope of the line passing through the points $(-21, 1)$ and $(49, 97)$. 2. **Formula for slope:** The slope $m$ between two points $(x_1, y_1)$ a

1. **State the problem:** Find the slope of the line passing through the points $(-7, 37)$ and $(48, -28)$. 2. **Formula for slope:** The slope $m$ between two points $(x_1, y_1)$

1. **State the problem:** Find the slope of the line passing through the points $(-40, 78)$ and $(18, 40)$. 2. **Formula for slope:** The slope $m$ between two points $(x_1, y_1)$

1. **State the problem:** Find the slope $m$ of the line passing through the points $(-34, 80)$ and $(-60, 21)$. 2. **Formula for slope:** The slope between two points $(x_1, y_1)$

1. **Problem Statement:** A baby chicken weighs 32 grams at hatching (week 0). Its mass increases by 45% each week for 12 weeks. We need to complete the table showing the chicken's

1. **State the problem:** Find the slope of the line passing through the points $(28, 84)$ and $(30, 10)$. 2. **Formula for slope:** The slope $m$ between two points $(x_1, y_1)$ a

1. **State the problem:** Find the slope of the line passing through the points $(-1, 31)$ and $(98, -20)$. 2. **Formula for slope:** The slope $m$ between two points $(x_1, y_1)$

1. **State the problem:** We are given the function $n = 40 \cdot 1.5^t$ which models a quantity $n$ growing over time $t$. 2. **Formula and explanation:** This is an exponential g

1. The problem is to understand the inequalities involving the variable $b$ and how they relate to the number line from 5 to 15. 2. The inequalities given are: