🧮 algebra

1. The problem asks to complete the statement to make it true with the number −5.52. 2. We need to find which choice among −5, 7, and 15 makes the statement true.

1. The problem asks to complete the statement involving the number $-0.24$ and a fraction to make it true. 2. We recognize that $-0.24$ can be expressed as a fraction. To convert a

1. **State the problem:** A scuba diver is at a depth of $-80\frac{1}{2}$ feet and ascends to the surface, which is at 0 feet. We need to find how many feet the diver ascended. 2.

1. **State the problem:** We need to determine which number line correctly displays the points \(-\frac{1}{4}, -1.4, -1 \frac{4}{5}, -0.15\). 2. **Convert all points to decimal for

1. **State the problem:** We need to determine which number line correctly displays the points \([-0.9, -2 \frac{1}{2}, 0.25, -\frac{3}{4}]\). 2. **Convert all points to decimal fo

1. **State the problem:** Determine the domain of the function $$f(x) = \frac{\log(-2x^2 + 8)}{2x - 1}$$. 2. **Recall domain rules:**

1. **Stating the problem:** We are given a table with values of $z$ and the corresponding values of the expression $\frac{2z}{3} + 1$. We want to understand how to compute $\frac{2

1. The problem is to evaluate the expression $8/2(2+2)$. 2. According to the order of operations (PEMDAS/BODMAS), first solve the parentheses:

1. **State the problem:** Calculate the value of $|-25| + |10|$. 2. **Recall the definition of absolute value:** The absolute value of a number is its distance from zero on the num

1. **State the problem:** Simplify the expression $\frac{20}{-4} + 7$. 2. **Recall the division rule:** Dividing a positive number by a negative number results in a negative number

1. The problem is to draw the function $y = a^x$ where $a > 0$ and $a \neq 1$. 2. The general form of the exponential function is:

1. **State the problem:** Simplify the expression $$\frac{x^2 - 4}{2} + \frac{x^2 + 2x}{4}$$ as a single fraction in simplest form. 2. **Find a common denominator:** The denominato

1) Simplify the expression $m^{-6} \div m^{7} \times m^{2}$. 2) Simplify the expression $m^{-6} \times m^{7} \div m^{2}$.

1. **State the problem:** Solve the equation $$x = \sqrt{x-1} - 2$$ for $$x > 2$$. 2. **Rewrite the equation:** Add 2 to both sides to isolate the square root:

1. **State the problem:** Simplify the expression $$\sqrt[3]{250} + 3\sqrt[3]{54}$$. 2. **Recall the cube root properties:** The cube root of a product is the product of the cube r

1. **State the problem:** Simplify the expression $$\sqrt[3]{50} + \sqrt[3]{75}$$. 2. **Recall the cube root properties:** The cube root of a product is the product of the cube roo

1. The problem asks: "Twenty-four is .....% of 80." We need to find what percentage 24 is of 80. 2. The formula to find the percentage is:

1. The problem asks: What percentage is 24 of 80? 2. The formula to find what percent a number $a$ is of another number $b$ is:

1. **State the problem:** Solve for $x$ in the equation $x + 40 = 90$. 2. **Formula and rules:** To isolate $x$, subtract 40 from both sides of the equation.

1. **Problem:** Find the ratios between the number of pencils in Group A and Group B. Group A has 3 bundles with 6 pencils each, so total pencils in Group A = $3 \times 6 = 18$.

1. The problem states that the answer for part c is \(\frac{31}{105}\).\n2. To verify or understand this result, we would typically start by identifying the problem type (e.g., fra