Algebra Answers

Oakwood Elementary Fall Carnival gets bigger every year! Last year, they had 70 volunteers working 14 booths. This year, they want to have 42 booths.

If they use the same ratio of volunteers to booths, how many volunteers does Oakwood Elementary need this year?

Examine the following steps in the solution to 5𝑥2 − 5 = 0

5(𝑥2 − 1) = 0

5(𝑥 − 1)(𝑥 + 1) = 0

𝑥 − 1 = 0

or

𝑥 + 1 = 0

𝑥 = 1

or

𝑥

= −1

What happened to 5? Explain.

1.Think of any currency and make a formula that will convert peso to this currency.

2. Write the table of values showing the conversion and sketch the graph.

3. Write a formula that will convert the currency that you have chosen in Item I to peso.

4. Make a table of values using the second formula and sketch the graph in the same cartesian

plane you have made in Item 2.

5. Answer the following questions:

a. What relationship exists between the two formulas you have made?

b. What can you say about their graphs?

2.5-x^4÷x^5=0

Write the table of values showing the conversion and sketch the graph

1. Given a flow diagram, Calculate the values of the output: 2,5,4,3,9.
2. If A=2 and B=5, Determine the values of a^2+ab+b^2.
3. Expand and calculate: 2^2 x 3^2.
4. Calculate: 5x (-5) + 6x (-8) -16.
5. Simplify: a) 4x (x + 2); b) (3x + 5)(2x + 3); c) 27x y^3 /3x^3 y^2.

6. Solve for x: a) 10x - 6= 5x - 4; b) 4x (2x - 1) = 2(3 - x).

7. Given a triangle KLM with an unknown angle, calculate the value of x if K= 12, L= 23, and M= x.

The fourth term of geometric sequence is 8 and the sixth term is 32. Find the possible common ratios

Discussion Assignment

Consider the equation x^2+(y-2)^2=1 and the relation “(x, y) R (0, 2)”, where R is read as “has distance 1 of”.

For example, “(0, 3) R (0, 2)”, that is, “(0, 3) has distance 1 of (0, 2)”. This relation can also be read as “the point (x, y) is on the circle of radius 1 with center (0, 2)”. In other words: “(x, y) satisfies this equation x^2+(y-2)^2=1 , if and only if, (x, y) R (0, 2)”.

Does this equation determine a relation between x and y? Can the variable x can be seen as a function of y, like x=g(y)? Can the variable y be expressed as a function of x, like y= h(x)? If these are possible, then what will be the domains for these two functions? What are the graphs of these two functions?

Are there points of the coordinate axes that relate to (0, 2) by means of R?

3/4+4/8

f(×)=3/×+4