Math 1 16 Feb

Math 1

February 16, 2021

Example 1

Draw this image, when you are completed drawing this image move onto the next slide to see the video explanation of how to find the missing hypotenuse.

Example 2

Draw this image, when you are completed drawing this image move onto the next slide to see the video explanation of how to find the missing hypotenuse.

Example 3

Draw this image, when you are completed drawing this image move onto the next slide to see the video explanation of how to find the missing hypotenuse.

Multiple Choice

Triangle GEF is shown below. What is the approximate length of line GF?

• 4.6 cm

• 12.0 cm

• 14.9 cm

• 21.0 cm

Example 4

Baking flour which costs $4/kg is made by combining bleached flour which costs $6/kg with unbleached flour which costs $3/kg. Find the number of kg of bleached flour and unbleached flour required to make 12 kg of baking flour.

Example 5

To build the garden of your dreams you need 15 ft³ of soil containing 36% silt. You have two types of soil you can combine to achieve this: soil with 20% silt and soil with 50% silt. How much of each soil should you use?

Example 6

Rob wants to make 16 gal. of a 36% sugar solution by mixing together a 22% sugar solution and a 78% sugar solution. How much of each solution must he use?

Multiple Choice

Quiz 15 Review Question: Go look up what you answered, keep it the same if it was correct.

Which graph represents the solution to the system of equations shown below?

 $2x+3y=0$  
 $3x-2y=0$  

Multiple Choice

Quiz 15 Review Question: Go look up what you answered, keep it the same if it was correct.

During the past year, Ms. Abalos invested $8,500. Some of her money was invested in stocks paying 6% annually, and the rest was invested in bonds paying 8% annually. She received a total of $600 from these investments for the year. How much did she invest in the stocks paying 6%.

• $4,250

• $4,550

• $4,000

• $4,500

Multiple Choice

Quiz 15 Review Question: Go look up what you answered, keep it the same if it was correct.

It costs a bicycle company $40 to make each adult bicycle and $30 to make each child's bicycle. The adult bicycle sells for $120, and the child's bicycle sells for $90. The company want to make a minimum profit of $2,400. If x represents the number of adult bicycles the company sells, and y represents the number of children's bicycles the company sells, which inequality models this situation?

• $80x+60y\le2,400$

• $120x+90y\le2,400$

• $80x+60y\ge2,400$

• $120x+90y\ge2,400$

Multiple Choice

Quiz 15 Review Question: Go look up what you answered, keep it the same if it was correct.

Which relation is not a function?

• $\left\{\left(1,4\right),\left(2,5\right),\left(3,6\right),\left(2,2\right),\left(1,1\right)\right\}$

• $\left\{\left(1,4\right),\left(2,2\right),\left(3,5\right),\left(4,3\right),\left(5,1\right)\right\}$

• $\left\{\left(3,5\right),\left(2,5\right),\left(1,5\right),\left(0,5\right),\left(-1,5\right)\right\}$

• $\left\{\left(3,-1\right),\left(5,0\right),\left(1,2\right),\left(4,4\right),\left(2,2\right)\right\}$

Multiple Choice

Quiz 15 Review Question: Go look up what you answered, keep it the same if it was correct.

Which equation can be represented by the line that contains the points   $\left(-6,2\right)\ and\ \left(9,-8\right)?$  

•  $y=-\frac{3}{2}x-7$  

•  $y=\frac{3}{2}x+11$  

•  $y=\frac{2}{3}x+6$  

•  $y=-\frac{2}{3}x-2$  

Fill in the Blanks

Simplify. Your answer should only contain positive exponents. Use ^ for exponents. Write your answers in alphabetical order.

 $\left(\frac{vu^3\times2u^2v^2}{u^0v^3}\right)^3$  

Fill in the Blanks

A boat traveled 176 miles downstream and back. The trip downstream took 8 hours. The trip back took 88 hours. What is the speed of the boat in still water? What is the speed of the current?

(boat, current)

Fill in the Blanks

Solve for x. 

(smaller number, larger number)

 $5\left|6+10x\right|+2=32$  

Multiple Choice

What is the system of inequalities displayed in the graph?

• $y\ge\frac{1}{2}x-7$
  $y>\frac{1}{2}x+7$
  

• $y\le\frac{1}{2}x-7$
  $y<\frac{1}{2}x+7$
  

• $y\ge\frac{1}{2}x-7$
  $y<\frac{1}{2}x+7$
  

• $y\le\frac{1}{2}x-7$
  $y>\frac{1}{2}x+7$
  

Multiple Choice

Which graph matches the following system of inequalities?

 $x+y>2$  
 $3x-y\le2$  

Fill in the Blanks

Paul wants to make 16 ml of a 5% acid solution by mixing together a 20% acid solution and pure water. How much of each solution must he use?

(20% solution, pure water)

Fill in the Blanks

Fruit salad which costs $7/kg is made by combining sliced peaches which cost $6/kg with sliced bananas which cost $9/kg. Find the number of kg of sliced peaches and sliced bananas required to

make 15 kg of fruit salad.

(peaches, bananas)

Fill in the Blanks

11 fl. oz. of an acid solution was mixed with 1 fl. oz. of a 70% acid solution to make a 48% acid solution. Find the percent concentration of the first solution.

Multiple Choice

Using the graph, which is the approximate line of best fit for this data?

• $y=3x-4$

• $y=3.5x-5.8$

• $y=4x-7$

• $y=4.5x-10.2$

Fill in the Blanks

Find the product. Use ^ for exponents.

 $2x\left(2x+3\right)$