🧮 algebra

1. The problem asks to find the time in months it takes for the glaciers in Denali National Park and the Himalayas to melt a total of 12 meters. 2. From the graph description, the

1. The problem is to simplify the expression: $$21 - (6 + 3(2)) - 4(5 + 3) \div 8$$

1. **State the problem:** We need to find which points lie on the line passing through $(-2,8)$ and $(5,-20)$. 2. **Find the equation of the line:** The slope $m$ is given by

1. **State the problem:** Solve the first inequality $-3 - 7x > -17$ for $x$. 2. **Write the inequality:**

1. **State the problem:** Simplify the expression $$\frac{2x^2 - 8}{4x}$$. 2. **Formula and rules:** To simplify a rational expression, factor the numerator and denominator and the

1. **State the problem:** Chloe has the data set $12, 14, g, 14, 14$ and the mean of these numbers is given as 14. We need to find the possible value of $g$. 2. **Recall the formul

1. **State the problem:** We are given a point $(2, -9)$ and a slope $m = 3$. We need to find the equation of the line in slope-intercept form $y = mx + b$ that passes through this

1. The problem is to simplify the expression $6 + 3(2) - 4 - (5 + 3)$. 2. Use the order of operations: parentheses first, then multiplication, then addition and subtraction from le

1. **State the problem:** Simplify the expression $3x - (2x + 4) + 5$ and find which option it matches. 2. **Apply the distributive property:** Remove the parentheses by distributi

1. **Stating the problem:** Vi skal løse likningene i oppgave 11 a, b og c som handler om tallinjer. 2. **Oppgave 11a:** Vi har to segmenter på tallinjen med lengder $a$ og 5, og t

1. **State the problem:** Solve the rational equation $$\frac{12}{x^2 - 2x} + 3 = \frac{6}{x - 2}$$. 2. **Identify the domain restrictions:** The denominators cannot be zero.

1. **State the problem:** Simplify the expression $3x - (2x + 4) + 5$ and find which given option is equivalent. 2. **Write the expression:**

1. **State the problem:** Solve the rational equation $$\frac{3m}{m+1} - \frac{5}{m+4} = \frac{2m^2 + 11m}{m^2 + 5m + 4}$$

1. **State the problem:** Solve the inequality $$8x + 3 \leq 43$$ and verify the solution $$x \leq 5$$. 2. **Write the inequality:** $$8x + 3 \leq 43$$

1. **State the problem:** Solve the inequality $8x + 3 \leq 43$ for $x$. 2. **Write the inequality:**

1. **Problem a:** Simplify $15x \div 5xy$. 2. Write the division as a fraction: $$\frac{15x}{5xy}$$.

1. The problem asks to identify the vertical shift of the function $$f(x) = -4 \cos(15x) + 2$$. 2. The general form of a cosine function with vertical shift is $$f(x) = A \cos(Bx)

1. **Problem:** Graph the function $$y = (x - 2)^2 - 4$$ and label important features. 2. **Formula and rules:** This is a quadratic function in vertex form $$y = a(x-h)^2 + k$$ wh

1. **State the problem:** Simplify the expression $4x^2 y^3 \times 2x^3 y^4$. 2. **Recall the multiplication rules for exponents:** When multiplying terms with the same base, add t

1. **State the problem:** Solve the system of equations by graphing and find the point of intersection. The system is:

1. **State the problem:** Factor the polynomial $$x^4 + 4x^3 + 6x^2 + 8x + 8$$. 2. **Recall the formula:** The polynomial resembles the expansion of $(x+2)^4 = x^4 + 4x^3 + 6x^2 +