Algebra and Geometry Mixed Questions

6 flashcards · Mathematics · by Logan Pollack

1. Which table represents a function?

   (3) Functions

2. Mo’s farm stand sold a total of 165 pounds of apples and peaches. She sold apples for $1.75 per pound and peaches for $2.50 per pound. If she made $337.50, how many pounds of peaches did she sell? 11 18 65 100

   (3) 65 Systems of Equations

3. The graph of the function f(x)=x+4f(x) = \sqrt{x+4}f(x)=x+4 ​ is shown below The domain of the function is {x | x > 0} {x | x ≥ 0} {x | x > -4} {x | x ≥ -4}

   (4) {x | x ≥ -4} Functions

4. Beverly did a study this past spring using data she collected from a cafeteria. She recorded data weekly for ice cream sales and soda sales.Beverly found the line of best fit and the correlation coefficient,as shown in the diagram below. Given this information, which statement(s) can correctly be concluded? I.I.I. Eating more ice cream causes a person to become thirsty. II.II.II. Drinking more soda causes a person to become hungry. III.III. III. There is a strong correlation between ice cream s…

   (2) IIIIIIIII , only Regression

5. When directed to solve a quadratic equation by completing the square, Sam arrived at the equation (x−52)2=134(x-\frac{5}{2})^2 = \frac{13}{4}(x−25​)2=413​ . Which equation could have been the original equation given to Sam? x2 + 5x + 7 = 0 x2 + 5x + 3 = 0 x2 - 5x + 7 = 0 x2 - 5x + 3 = 0

   (4) x2 - 5x + 3 = 0 Quadratic Equations and Factoring

6. What are the solutions to the equation x2−8x=24x^2 - 8x = 24x2−8x=24 ? x=4±210x = 4 \pm 2\sqrt{10}x=4±210 ​ x=−4±210x = -4 \pm 2\sqrt{10}x=−4±210 ​ x=4±22x = 4 \pm 2\sqrt{2}x=4±22 ​ x=−4±22x = -4 \pm 2\sqrt{2}x=−4±22 ​

   (1) x=4±210x = 4 \pm 2\sqrt{10}x=4±210 ​ Quadratic Equations and Factoring