🧮 algebra

1. **State the problem:** Solve the equation $-2a + 7 = a - 8$ for $a$. 2. **Write the equation:**

1. The problem is to analyze the function $$y = e^{2\sqrt{2x}}$$. 2. This is an exponential function where the exponent is $$2\sqrt{2x}$$. The base $$e$$ is Euler's number, approxi

1. **State the problem:** Calculate the value of the expression $$8 \times 3 + 70 \div 7 - 7$$. 2. **Recall the order of operations:** Use PEMDAS/BODMAS rules: Parentheses, Exponen

1. **Problem Statement:** Find the x-intercept and y-intercept of the line described. 2. **Understanding intercepts:**

1. The problem involves understanding the unit price and quantities on hand and on the sales floor. 2. The unit price is given as $2.97, which means each item costs 2.97.

1. The problem involves understanding the inventory distribution of vanilla bean ice cream at location A16-7, position 0005. 2. We are given three quantities: ON HAND = 14, SALES F

1. **State the problem:** Forty-three less than twice a number $n$ is 5 more than the number $n$. We need to find the value of $n$. 2. **Write the equation:** "Forty-three less tha

1. **State the problem:** Simplify the expression $\frac{1}{2} (8x - 10) + 9x$. 2. **Recall the distributive property:** $a(b + c) = ab + ac$. We will distribute $\frac{1}{2}$ over

1. **State the problem:** Melissa wants to find the cost of sending a letter in 1990 using the information about the cost of sending postcards and letters.

1. **State the problem:** Bonaficio sells thingamabobs and whosie-whats-its. He sold 12 thingamabobs and 10 whosie-whats-its for 111.20, and another shipment of 10 thingamabobs and

1. The problem asks to write equations of cubic functions with given zeros and belonging to the same family of functions. 2. For cubic functions with zeros $r_1$, $r_2$, and $r_3$,

1. **State the problem:** Chris sold 180 cookies and cupcakes. Cupcakes cost $0.50 each, cookies cost $0.25 each, and total sales were $66. Find how many of each were sold. 2. **Id

1. The problem is to understand what a decimal number is and how to work with it. 2. A decimal number is a number that has a whole part and a fractional part separated by a decimal

1. **Identify the variables for problem 12:** - Let $x$ be the amount invested at 5.5% interest.

1. **State the problem:** The Sears Tower's total height including the antenna is 1729 feet.

1. **State the problem:** Teerasiole is a rectangle where the length is 5 inches longer than the width. The perimeter is 34 inches. We need to find the dimensions (length and width

1. **State the problem:** Michaela's mom wants to find the number of hours at which two plumber companies charge the same total amount.

1. The problem is to find the expression for $3n+2$. 2. This is a linear algebraic expression where $n$ is a variable.

1. **State the problem:** Solve the system of equations using the addition-subtraction method: $$3x - y = 1$$

1. **Problem:** Determine whether the point (3, -2) is a solution to the system of equations: $$y = 2x - 8$$

1. **State the problem:** Runners D, E, and F ran a sprint with a combined time of 72 seconds. Runner D's time is half of E's time and one-third of F's time. We need to find how lo