🧮 algebra

1. **State the problem:** Find a number such that doubling the difference of the number and 4 is 6 more than the number. 2. **Define the variable:** Let the number be $x$.

1. **Problem:** Find a number such that twice the sum of the number and three is 88. 2. **Step 1: Define the variable.** Let the number be $x$.

1. **State the problem:** Jabari needs 575 tickets to get a prize. He already has 210 tickets and earns 31 tickets each time he plays a game. We need to find how many games he must

1. **State the problem:** Makir wants to buy an iPad costing 475.99. He currently has 196.00 and saves 45.00 each week. We want to find how many weeks, $x$, it will take for him to

1. The problem is to simplify an equation without using terms you haven't learned yet. 2. To simplify an equation, we combine like terms and use basic operations like addition, sub

1. The problem is to solve the equation $$5 \ln x = 10$$ for $x$. 2. Recall the property of logarithms: if $a \ln x = b$, then $\ln x = \frac{b}{a}$.

1. **State the problem:** We have a graph showing the distance Marla walked over time. We need to create a table of values from the graph, write an equation relating time and dista

1. Vamos resolver a expressão passo a passo: $$(\sqrt{8})^0 \times \left(\frac{1}{3}\right)^{-7} \div 3^5 + (-1)^2$$ 2. Primeiro, aplicamos a regra de potências: qualquer número el

1. Stating the problem: Solve the system of equations $$y = -2x - 1$$

1. The problem asks to verify if the graph correctly represents the relationship between the total cost and the number of hamburgers. 2. The equation given is $\text{Total Cost} =

1. **Evaluate** $5.01 \times 10^3 = 4.11 \times 10^3$. This is a comparison, not an operation, so the values are:

1. **Write the numbers in standard form.** - The number $4.295 \times 10^5$ means move the decimal point 5 places to the right.

1. **State the problem:** We need to find the coordinate pair $(x,y)$ that satisfies both equations simultaneously: $$y = 2x - 3$$

1. **State the problem:** We need to find the coordinate pair $(x,y)$ that satisfies both equations simultaneously: $$y = 2x - 3$$

1. The problem is to solve the equation $$- \frac{8}{9} h = - \frac{4}{27}$$ for $h$. 2. To isolate $h$, divide both sides of the equation by $- \frac{8}{9}$.

1. The problem is to plot a point where the x-coordinate is 1 and the y-coordinate is 2.50. 2. To plot a point on a Cartesian plane, you locate the x-value on the horizontal axis a

1. **State the problem:** We have an exponential decay function with initial value 500 and decay rate 15%. We want to compare the average rate of change on intervals $0 < x < 4$ an

1. **State the problem:** We have an exponential decay function with initial value 500 and decay rate 15%. We want to find the average rate of change on intervals $0 < x < 4$ and $

1. **State the problem:** Solve the inequality $-4x + 5 > -5$ and determine if the solution is $x < 2.5$ or $x > 2.5$. 2. **Use the formula and rules:** To solve inequalities, isol

1. The problem is to simplify the expression $(-1 - (-8)) + 4$. 2. Use the rule that subtracting a negative number is the same as adding its positive counterpart: $-(-8) = +8$.

1. **State the problem:** We need to find the total cost $c$ for $h$ hamburgers, where each hamburger costs 2.50.