🧮 algebra

1. **Problem statement:** Simplify the expression $3 - 6x + y - 2 + 5y - 2x$. 2. **Step 1: Group like terms.**

1. The problem asks to evaluate the expressions $\left(\frac{3}{5}\right)^{-0.85}$ and $3.5^{1.6}$ and round the answers to the nearest thousandth. 2. Recall the rule for negative

1. **State the problem:** Simplify the expression $0.5 \log_3 16 - 6$. 2. **Recall the logarithm power rule:** $a \log_b c = \log_b c^a$.

1. **State the problem:** A class of 25 students has an average score of 73 on a Physics test. A new student joins and scores 77. We need to find the new average score. 2. **Formul

1. Problem: Rastaviti faktore u izrazu $ (2a-1)(3a+2)+(2a-1)(2a+3) $ i provjeriti je li rješenje $ (2a-1)(5a+5) $ ispravno. 2. Formula i pravila: Kada imamo izraz u obliku $ A(B+C)

1. The problem asks us to determine if $y$ is a function of $x$ using the vertical line test. 2. The vertical line test states: If any vertical line drawn on the graph intersects t

1. **State the problem:** Solve the linear equation $15X + 18Y = 110$ for one variable in terms of the other. 2. **Formula and rules:** This is a linear equation in two variables.

1. **State the problem:** Determine if the given graph represents a function using the vertical line test. 2. **Explain the vertical line test:** A graph represents a function if a

1. **Problem statement:** Given the function $p(t) = t + 3$ and the function $p(t) = -2t + 1$, and a function $q(t)$ such that $q(t + 1) = q(t) + 1$, find $q(1)$, $q(2)$, and $q(3)

1. **Problem statement:** Find the domain and range of the exponential function graphed with a horizontal asymptote at $y = -2$.

1. **State the problem:** Calculate the value of $6 - (-3)$. 2. **Recall the rule:** Subtracting a negative number is the same as adding its positive counterpart. In other words, $

1. The problem asks to state the domain of the given piecewise function based on the graph description. 2. The domain of a function is the set of all possible input values (x-value

1. **State the problem:** Simplify the expression $ (6 + 4i) + (-3 + i) $ where $i$ is the imaginary unit with the property $i^2 = -1$. 2. **Recall the rule:** When adding complex

1. **State the problem:** We need to graph the exponential function $$f(x) = \left(\frac{5}{3}\right)^x$$ and plot five points on its graph, as well as draw the horizontal asymptot

1. **State the problem:** Express the quadratic expression $16x^2 - 24x + 10$ in the form $(4x + a)^2 + b$. 2. **Recall the formula:** The expression $(4x + a)^2$ expands to $16x^2

1. The problem is to graph the exponential function $f(x) = \left(\frac{3}{5}\right)^x$ and plot five points on its graph. 2. The general form of an exponential function is $f(x) =

1. **State the problem:** Solve the quadratic equation $x^2 - 5x + 6 = 0$. 2. **Formula and rules:** The quadratic equation is generally $ax^2 + bx + c = 0$. We can solve it by fac

1. The problem asks us to find the values of the function $f(x) = 9^x$ for each given $x$ in the table: $-3, -2, -1, 0, 1$. 2. The formula is $f(x) = 9^x$. Important rule: For nega

1. **Stating the problem:** Faktoriser de algebraiske uttrykkene gitt i oppgave 1.102 a) til e). 2. **Forklaring av faktorisering:** Faktorisering betyr å skrive et uttrykk som et

1. The problem is to evaluate the expression $2^4 - 16$. 2. Recall that $2^4$ means $2$ raised to the power of $4$, which is $2 \times 2 \times 2 \times 2$.

1. **State the problem:** Solve the linear equation $-3x - 4 = 8$ for $x$. 2. **Formula and rules:** To solve a linear equation, isolate the variable $x$ by performing inverse oper