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🧮 algebra

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Espresso Percent
1. **State the problem:** Shelby's Cafe sold 80 espressos in total, and 20% of them were single-shot. We need to find how many single-shot espressos were sold. 2. **Formula used:**
Percentage Pins
1. **State the problem:** Kendrick received 90 pins in total, and 70% of them were orange. We need to find how many orange pins he received. 2. **Formula used:** To find a percenta
Pages On Sunday
1. **State the problem:** Milton read 28% of his book on Friday and 46% on Saturday. The book has 350 pages. We need to find how many pages Milton will read on Sunday to finish the
Art Supplies Cost
1. **State the problem:** Mr. Jamison wants to buy art supplies: 8 dozen sketch pencils, 6 dozen colored pencils, and 3 dozen art gum erasers. We need to find the total cost includ
Line Equation
1. Statement of the problem: Find the equation of the line in slope-intercept form that passes through the points $(-1, 7)$ and $(4, -8)$. 2. Formula: Use the slope formula $m = \f
Linear Equation
1. Stating the problem. Solve for $x$ in the linear equation $3x + 5 = 20$.
Line Equation
1. **State the problem:** Find the equation of the line passing through the points $(-2, -3)$ and $(2, 1)$ in slope-intercept form. 2. **Formula for slope:** The slope $m$ of a lin
Expression Evaluation
1. **State the problem:** Calculate the value of the expression $$19 \div (3.75 - | - \frac{4}{8} |) \cdot 3^3$$. 2. **Recall the rules:**
Evaluate Expression
1. **State the problem:** Evaluate the expression $$31 + (7.8 - | - 1 \frac{3}{5} |) \cdot (-3)^2 - 7 \frac{3}{5}$$. 2. **Convert mixed numbers to decimals:**
Factor Quadratic
1. **State the problem:** Factor the quadratic expression $x^2 + 5x + 6$ and draw its graph. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two n
Factor Quadratic
1. **State the problem:** Factor the quadratic expression $x^2 + 5x + 6$. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two numbers that multipl
Function Pairs
1. **Problem:** For the pair of functions $f(x) = \frac{1}{x}$ and $g(x) = x$, identify one characteristic they share and one that distinguishes them. 2. **Common characteristic:**
Line Equation
1. **State the problem:** We are given a table of values for $x$ and $y$ and need to find the slope, y-intercept, and equation of the line. 2. **Recall the formulas:**
Line Equation
1. **State the problem:** We are given a line graph with points (1, 6) and (4, 30). We need to find the slope, y-intercept, and equation of the line. 2. **Formula for slope:** The
Savings Comparison
1. **State the problem:** We have Sam's savings represented by the equation $y = 35x + 10$, where $y$ is the balance and $x$ is the number of weeks. Sam's sister's savings are show
Seahorse Draining
1. **State the problem:** We have a tank with water draining over time. The table shows minutes and gallons remaining: (0,60), (4,50), (8,40), (12,30). 2. **Identify the relationsh
Jogging Distance
1. **State the problem:** Royce jogs 30 meters in 10 seconds. We want to find how many meters he can jog in 25 seconds. 2. **Formula used:** Since jogging distance is proportional
Price Per Pound
1. The problem asks us to find the price for 1 pound of grapes given a table of prices for different weights. 2. We observe the table:
Factor Quadratic
1. **State the problem:** Factor the quadratic expression $x^2 + 6x + 5$ and draw its graph. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two n
Factor Quadratic
1. **State the problem:** Factor the quadratic expression $x^2 + 6x + 5$. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two numbers that multipl
Code Grid
1. The problem involves identifying a 4-letter code from a 3x3 grid of algebraic expressions and numbers. 2. Each box in the grid contains an expression or number: