🧮 algebra

1. **State the problem:** We have a linear function A with given points and three other linear functions. We need to find the slope of function A and then sort the other functions

1. **State the problem:** We are given that the sum of two numbers is $4 \frac{1}{8}$ and their difference is $\frac{7}{8}$. We need to find the two numbers. 2. **Convert mixed num

1. **State the problem:** We are given that the sum is 4 and we need to find the value of $q$. 2. **Interpretation:** The problem is incomplete as stated, but typically "the sum is

1. **State the problem:** We need to find how many rolls of tape are required to tape off the perimeter of a four-sided crime scene with sides 45 ft, 54.9 ft, 25.6 ft, and 51.3 ft.

1. **State the problem:** We need to find which expression is equivalent to the product \((x - 4)(x - 8)\). 2. **Recall the formula:** To multiply two binomials, use the distributi

1. **State the problem:** Simplify the expression $$\left(\frac{j^{15}}{8}\right)^{\frac{2}{3}}$$ and find which of the given options is equivalent. 2. **Recall the exponent rule:*

1. **State the problem:** We are given the function $g(x) = a(x + 3)^2 - 5$ and the graph of $g$ with vertex at $(-3, -5)$ and passing through the point $(0, -1)$. We need to find

1. **State the problem:** We are given the function $$q(v) = (v - 8)(v - 5)(v - 4)(v + 5)(v + 10)$$ and asked to find the sum of its zeros. 2. **Recall the rule:** The zeros of the

1. **State the problem:** We have a polynomial $p(t)$ of degree 6 with factors $(t - 10)$, $(2t - 2)$, $(t + 10)$, and $(20t + 2)$. We need to determine which graph among A, B, C,

1. **State the problem:** Solve the equation $$2^{x-1} + 2^{x+1} = 40$$ for $x$. 2. **Recall the properties of exponents:**

1. **State the problem:** We have a cubic polynomial function $g(x)$ such that $g(\frac{2}{3})=0$ and $g(0)=5$. We need to determine which of the given options must be a factor of

1. The problem asks for the number of distinct zeros of the polynomial function $$h(t) = (t - 8)^1 (t - 4)^2 (t - 2)^3 (t - 1)^4$$. 2. Recall that the zeros of a polynomial are the

1. **State the problem:** We need to find five consecutive terms of an arithmetic sequence whose sum is 40 and the product of the first, middle, and last terms is 224. 2. **Define

1. Tehtävässä pyydetään piirtämään samaan koordinaatistoon kaksi suoraa: $y=-2x+4$ ja $y=4$. 2. Suora $y=-2x+4$ on lineaarinen funktio, jossa kulmakerroin on $-2$ ja vakiotermi $4$

1. **State the problem:** Myka starts hiking at a temperature of 68°F. The temperature drops by 5.4°F for every 1,000 feet she hikes up. We need to find the temperature after she h

1. **Problem 1: Temperature drop during hike** Myka's temperature drops 5.4°F for every 1,000 feet she hikes up.

1. **State the problem:** Tori bought 7 pumpkins and paid with a 20-dollar bill. She received 5.37 dollars in change. We need to find the cost of each pumpkin. 2. **Set up the equa

1. **State the problem:** Find the first two terms of an arithmetic sequence given that the sixth term is 21 and the sum of the first seventeen terms is 0. 2. **Recall formulas for

1. **Problem statement:** Schreibe die folgenden Ausdrücke mit positiven Exponenten und kürze, wenn möglich. 2. **Wichtige Regeln:**

1. The problem asks which expression is equivalent to $$\frac{36y^2 - 8x - 1}{12x - 2y^2 + 11}$$ for all values of $x$, $y$, and $z$, where defined. 2. To find an equivalent expres

1. **State the problem:** Graph the piecewise function: