🧮 algebra

1. **State the problem:** We need to determine if each statement about unit rates is true or false. 2. **Recall the formula for unit rate:** The unit rate of a ratio $\frac{a}{b} :

1. **State the problem:** Two kittens together weigh 3 1/4 pounds. We want to find possible individual weights for each kitten. 2. **Convert mixed number to improper fraction:** 3

1. **State the problem:** Find the total weight in ounces of the three kittens that weigh the least. 2. **Identify the weights of the kittens:** From the line plot, the kitten weig

1. **State the problem:** We have two towns, A and B, with populations growing exponentially. Town A starts with 4000 people and grows at 8% per year. Town B starts with 5000 peopl

1. **Simplify** $\frac{\sqrt{3} - 5\sqrt{2}}{5\sqrt{3}}$. Use the property $\frac{a - b}{c} = \frac{a}{c} - \frac{b}{c}$:

1. The problem involves simplifying an expression with $m$ in the denominator, specifically $m^{5/2}$. 2. Recall the rule for exponents: when dividing powers with the same base, su

1. **State the problem:** Simplify the expression $$\left(\frac{64m^{1/2}r^3}{m^{3/2}r^{1/4}}\right)^{1/2}$$ and find which of the given options is equivalent. 2. **Recall the rule

1. **State the problem:** Solve the system of equations: $$5x + 4y = -14$$

1. **State the problem:** Solve the system of equations by graphing and find the solution as an ordered pair. Given system:

1. **State the problem:** Solve the system of equations for $x$ and $y$: $$2x + y = 8$$

1. **State the problem:** Jason records songs in a pattern: 2 songs on day 1, 4 songs on day 2, 8 songs on day 3. We need to find how many songs he records on day 5. 2. **Identify

1. **State the problem:** We need to find which value of $x$ satisfies the inequality $$\frac{1}{9} < x < 19\%.$$ 2. **Convert all values to decimals for easy comparison:**

1. **State the problem:** Solve the system of linear equations: $$2x + y = 8$$

1. **State the problem:** We need to find how many solutions the equation $$2(x - 4) = 4 - 2x$$ has. 2. **Write the equation:** $$2(x - 4) = 4 - 2x$$

1. The problem is to find the zeros (roots) of a quadratic equation, which are the values of $x$ where the quadratic equals zero. 2. The general form of a quadratic equation is $$a

1. **State the problem:** We have a tank with 100 gallons of water at noon. Pipes A and B add water to the tank, while pipe C removes water. We want to find the function $T(x)$ tha

1. **State the problem:** We are given the system of equations: $$2x + 3y = 7$$

1. **State the problem:** We are given a system of equations: $$x + y = 5$$

1. **Stating the problem:** We are given the number of squares formed in patterns 1 and 2 and need to complete the table for patterns 3 to 6.

1. **Stating the problem:** We have a sequence of patterns made with discs. We want to find formulas for the number of discs in pattern $n$, the total discs for the first $n$ patte

1. **State the problem:** We have data showing the number of candies $x$ dropped into a bottle and the resulting height $y$ of the soda geyser in feet. 2. **Given data:**