Math 17-23

If the domain of the function f(x) = x^2 is 0 ≤ x, what is the range of f?

0 to infinity

What is the numerator of a unit fraction?

1

In a linear inequality, what kind of line is used when graphing the inequality 3y<2x-7?

< or > sign means a Dashed line

Which of these tools are used to make geometric constructions? A: compass B: straightedge C: ruler D: protractor

A and B

Which pattern of numbers represents a linear equation?

A linear graph increases by the same amount each time, so the 3, 9, 15, 21, 27, 33 is linear as it increases by 6 with each step.

What is NOT true about multiples?

A multiple can be smaller than the original number.

When the arrows of an inequality go in opposite directions, or the absolute value is greater than, what type of a compound inequality are we working with?

An 'or' compound inequality is when the arrows of an inequality go in opposite directions.

Which of the following statements is true?

Before looking for an inverse, an original equation must pass the vertical line test in order to be called a function.

What is a characteristic of cardinality?

Children understand that the last number recited is the number assigned to the objects being counted.

Which two skills are closely related and can easily be taught together using a place value chart?

Comparing and ordering sets of numbers

What tool is used to make sure copied angles are exactly the same as the original?

Compass

What is a rational function?

Division of two polynomials.

When we divide 777 by 5, we find that 5 fits into 777 exactly 155 times, and we have 2 left over, or 777 = 5 * 155 + 2. In this problem, identify the divisor, dividend, quotient, and remainder.

Divisor = 5 Dividend = 777 Quotient = 155 Remainder = 2

How do you determine whether a function is an inverse of another function?

Find the composite of the functions Explain: If a function is the inverse of another, then the composite of the two functions will be equal to 'x'.

Which is a strategy for teaching one-to-one correspondence?

Make counting games out of everyday situations.

Identify the minuend, subtrahend and difference in the subtraction problem 9 - 4 = 5.

Minuend 9, subtrahend 4, difference 5

Use factoring to find a solution of the following equation: 2x^2 + 8x = x^2 + 2x - 8. (Remember that if one side of the equation equals zero, and the other side of the equation is a product, then at least one of the parts of the product must equal zero. For example, if 0 = x(3 - x), then x must be 0 or (3 - x) must be 0.)

Moving everything to one side, you get x^2 + 6x + 8 = 0. Now factoring, you get (x + 2)(x + 4). So your solutions are -2 and -4.

(5-y)-2=5-(y-2) Is this equation a good example of the associative property? Why or why not?

No, the associative property does not work for subtraction.

When graphing the inequality ''x is greater than or equal to -5,'' what kind of circle do you use?

Solid Circle

What is the domain of √(x)?

The domain of a number looks for all possible inputs to a function. In the equation √(x), the variable x can be replaced with all possible numbers giving the answer 0 to infinity.

What is the diameter (D) of the lens (in mm) that is required by a telescope to see stars of magnitude (M) = 17? Use the logarithmic equation M = 5 log D + 2 where M is magnitude and D is diameter.

The equation is M = 5 log D + 2. Substituting M = 17, gives 17 = 5 log D + 2. Solving: 15 = 5 log D 3 = log D D = 10^3 = 1000 mm

Find the area of the trapezoid if the height is 6 ft. The top length= 8ft The bottom length= 13ft

The formula for the area of a trapezoid is A = (1/2)*h*(a + b) A = (1/2)*6*(8 + 13) A = 63 ft2

Which number is a multiple of 4?

The multiples of 4 are: 4, 8, 12, 16, 20, etc.

How can students benefit from manipulatives during standardized tests? They can ask for them.

They can draw them.

How many factors does a prime number have?

Two

For which stage of geometric thinking is it LEAST impactful to use hands-on activities?

abstract

The _____ stage is also called the descriptive stage of geometric thinking.

analytic

Which type of compound inequality has these two features? 1. In order for the solution to work, both conditions must be true. 2. It has a less than symbol.

and explain: An 'and' compound inequality is where both conditions must be true for the solution to work, or when the absolute value contains a less than symbol.

Why is 57 a composite number?

because it has 4 factors 1 * 57 = 57 3 * 19 = 57

Rufus runs home from school and tells his mom, 'Hey, mom! Look at this rectangle: these are the sides, and these are the angles!' From this, we can guess that Rufus is in the _____ stage of geometric thinking.

descriptive Explain: The descriptive or analytical stage of geometric thinking involves recognizing more than one component of a shape.

What operations are represented by building arrays?

multiplication and division

What are common benchmark fractions

popular or well known fractions like 1/4, 1/2, and 1/8

Which of the following is a strategy for teaching stable order?

teaching children rhymes

van hiele levels of geometric thinking

visual-describe based on appearance analysis-describe based on properties abstraction-properties and relationship deduction-systems rigor-analyze systems