Summer School Review

Order of Operations

100

The answer to the problem: 

3(4² - 1) + 8

What is 53?

200

The answer to the problem:

4(3-2) + 7

What is 11?

300

The answer to the problem 

10² +( 90 - 80)

What is 110?

400

2((4² -2) / 14) -2

What is 0?

500

(P.E.M.D.A.S) stands for an order in which we are supposed to solve numerical expressions. P.E.M.D.A.S. stands for

What are Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction?

Exponents

100

Simplify the problem

Hint: a^x * a^y = a^x+y

x² * x⁵

What is x⁷ ?

200

a⁰ is equal to this number.

What is 1?

300

The simplified version of (y⁵ * y)/(y²) can be expressed as

What is y⁴?

400

When dealing with any negative exponent you are supposed to

What is flip the exponent and make the exponent positive?

500

(3.4 * 10³ ) + (1.3 * 10²) can be answered and rewritten as this.

What is (3.53 * 10³) or 3,530?

Equations

100

The answer to the equation 

22 = 11x

What is x=2?

200

The answer to the equation

5x -7 = 2x

What is x = 7/3?

300

The solution to the equation

(1/2) x + 7 +(3/2)x = 3x -2 

What is x = 9?

400

The solution to the equation 

3 = x² +2

What is x =1? bonus: What is x= -1, 1

500

This will always happen to a negative number in an even numbered exponent

ex/ x² is 1 if x= 1 or x= -1

      x³ is -1 if x=-1 or 1 if x=1

What is an even numbered exponent always turns negative inputs positive.

Real World Applications

100

Sally is selling seashells by the seashore. She gathers seashells and expects to sell them for 0.50 cents each. The equation to represent Sallys profit is.

What is p = 0.5s, where s is the number of seashells sold, and p is the total profit?

200

In the equation (y₂ - y₁) / (x₂ -x₁), (x₁,y₁) is known as this.

What is a coordinate?

300

The graph intersects a line at (3,2) and has a slope of 10. The equation of this line is.

What is y = 10x -28?

400

The solution to the system of equations

y= 3x -2

3x = y+3

What is no solution?

500

This determines if a system of equation is parallel or has no solution.

What is if the slopes are the same and the intercepts are different?

Random Math Concept

100

The slope of the points ( 3, 7) and ( 8, 17).

What is 2?

200

Convert to Scientific Notation:

(0.00324)

What is 3.24 * 10 ^-3 ?

300

Adding and subtracting fractions means that the mathematicans should use this method

What is the LCD? or What is the Butterfly Method?

400

The Earth radius is in scientific notation, but this number can be expressed differently.

The Earth is 3.9588 * 10³ Miles

What is 3,958.8 Miles?

500

Three times the quantity of a number plus seven is equal to a number minus 3. The number is our target.

What is the number equals -12?