🧮 algebra

1. The problem states that the values 47.12 and 32.00% are incorrect. 2. To address this, we need to understand what the correct values should be or what the context is (e.g., perc

1. The problem asks to find the correct unit rate in pounds per quart given the fractions 1/5 pounds, 1/20 quarts, and 1/100 pound per quart. 2. To find the unit rate in pounds per

1. **State the problem:** We need to find the unit rate in miles per gallon for two cars: the blue car and the red car. 2. **Given data:**

1. **State the problem:** A robot completes 5 tasks in $\frac{2}{3}$ hour. We need to find: a. How long it takes to complete one task.

1. **State the problem:** We are given that a 3/4-cup serving of cereal contains 90 calories. We need to find the unit rate of calories per cup and then find how many calories are

1. **State the problem:** Grace drove 44 1/2 miles using 1 1/4 gallons of gasoline. We need to find the unit rate in miles per gallon. 2. **Formula:** The unit rate (miles per gall

1. Let's start by stating the problem: Solve the quadratic equation $x^2 + 3x = 5$. 2. To solve this, we first rewrite the equation in standard form: $$x^2 + 3x - 5 = 0$$.

1. **State the problem:** We need to find the average rate of change of the function $f(x)$ on the interval $2 \leq x \leq 7$. 2. **Recall the formula:** The average rate of change

1. The problem asks us to write an inequality describing temperatures $t$ at which Mariana wears her winter coat. 2. The condition given is that Mariana wears her coat when the tem

1. The problem states that a balloon initially has a volume of 4400 cubic centimeters, and air leaks out over time. 2. We want to write an inequality for $V$, the volume of the bal

1. **State the problem:** We are given that a small pizza has an area of 730 square centimeters. 2. **What is asked:** Write an inequality that describes $p$, the area of a pizza t

1. The problem is to understand how the value 2.31 was obtained at the start. 2. Typically, such a value could come from a calculation involving rounding or a specific formula.

1. **Problem Statement:** Solve the equation $$2x + 3 = 11$$ for $x$. 2. **Formula and Rules:** To solve a linear equation, isolate the variable on one side by performing inverse o

1. **State the problem:** We need to find the percent change in the number of people who went to the pool between the first and last weeks. 2. **Identify the weekly attendance:**

1. Find the next three missing terms of the sequences: A) Given sequence: 35, 32, 29, 26, _______, _______, _______

1. **State the problem:** Factorise the quadratic expression $2a^2 + 3a - 4$. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two numbers that mul

1. The problem asks to convert the scientific notation $6.29 \times 10^6$ into an ordinary number. 2. Scientific notation expresses numbers as a product of a number between 1 and 1

1. The problem is to express the product $4 \times 4 \times 4 \times 4 \times 4 \times 4$ as a power of 4. 2. When a number is multiplied by itself multiple times, it can be writte

1. **State the problem:** Simplify the expression $$\frac{x^5 + x^6}{x^3} - 4x^3$$. 2. **Recall the rule for dividing powers with the same base:** $$\frac{x^a}{x^b} = x^{a-b}$$.

1. **State the problem:** Find the value of $t$ in the equation $$5^3 \times 5^4 \times 5^t = 5^{24}$$. 2. **Recall the exponent multiplication rule:** When multiplying powers with

1. **State the problem:** Simplify the expression $$\frac{\sqrt{4x^{6}y^{-2}} \times (x^{2})^{-2}}{(2x)^{0} \times y^{-3}}$$