🧮 algebra

1. The problem states that the temperature was initially $-7$ degrees and then rose by $80$ degrees. 2. To find the new temperature, we use the formula for temperature change:

1. The problem states that Samuel initially has $415 in his bank account and deposits an additional $135. 2. To find the new account balance, we need to add the initial amount and

1. The problem asks which scenarios could describe the number -5. 2. Let's analyze each option:

1. The problem states that Kerri initially has $37 in her bank account and deposits an additional $234. 2. To find the new account balance, we add the initial amount and the deposi

1. **State the problem:** Simplify the fraction $\frac{1}{4}$ or understand its value. 2. **Formula and explanation:** A fraction $\frac{a}{b}$ represents the division of $a$ by $b

1. **State the problem:** Find the number if the result is 7. 2. **Set up the equation:** Let the number be $x$. The problem states the result is 7, so we have:

1. The problem states that the temperature was initially 40 degrees below zero and then dropped to 54 degrees below zero. 2. We need to find the integer that describes the new temp

1. The problem asks which scenarios could describe the number -300. 2. Negative numbers often represent a decrease, loss, or position below a reference point.

1. **Problem:** Ordne jeden Graphen der passenden Funktionsgleichung zu. 2. **Gegebene Funktionen:**

1. **State the problem:** We are given two functions $f(x) = 4x - 3$ and $g(x) = x - 2$. We need to find the functions $f+g$, $f-g$, $fg$, and $\frac{f}{g}$, and determine the doma

1. **State the problem:** We are given two functions:

1. **Stating the problem:** Simplify the expression $$\left(\sqrt{7x + 1}\right)^3$$ given the condition $$x \geq \frac{1}{7}$$. 2. **Understanding the expression:** The expression

1. We are given the equation $35 = -2x - 15$ and need to solve for $x$. 2. Start by isolating the term with $x$ on one side. Add 15 to both sides:

1. **State the problem:** We need to find which expression among a), b), c), and d) equals -16. 2. **Evaluate each expression step-by-step:**

1. The problem is to find the linear equation for the sequence with term numbers 0 to 4 and term values -27, -19, -11, -3, 5. 2. The formula for a linear sequence is $y = mx + b$,

1. **State the problem:** We need to find the composition of functions $f$ and $g$, denoted as $(f \circ g)(x)$, which means $f(g(x))$. 2. **Recall the functions:**

1. The problem asks to find the composition of functions $(h \circ g)(x)$, which means $h(g(x))$. 2. Given functions are:

1. The problem is to simplify the fraction $\frac{1}{4}$. 2. The fraction $\frac{1}{4}$ means one part out of four equal parts.

1. The problem is to determine the algebraic equation for the given number pattern and decide if it is linear. 2. The table shows term numbers $t = 1, 2, 3, 4$ and term values $v =

1. Problem: The number of bacteria increased by 280 percent overnight. If there were 30,000 bacteria yesterday, how many bacteria were present this morning? Formula: New amount = O

1. **State the problem:** Simplify the expression $\left(j^4 k^{-1} m^8\right)^{-1}$ using exponent rules. 2. **Recall the rule for negative exponents:** For any base $a$ and expon