Honors Algebra 1 Final Review

<p>Rational numbers (Q) (D)</p> Signup and view all the answers

<p>Any number with pi or the square root of a non-perfect number.</p> Signup and view all the answers

<p>Any equation where the negative is inside the square root sign.</p> Signup and view all the answers

<p>Member of a set.</p> Signup and view all the answers

<p>True (A)</p> Signup and view all the answers

<p>False (B)</p> Signup and view all the answers

<p>Every number in this set is also a number in another set.</p> Signup and view all the answers

<p>Rational numbers, natural numbers, whole numbers, integers, and irrational numbers.</p> Signup and view all the answers

<p>No numbers in this set.</p> Signup and view all the answers

<p>Any number plus 0 equals that number (A)</p> Signup and view all the answers

<p>Any number times 0 equals 0 (A)</p> Signup and view all the answers

<p>Any number can be replaced by another number.</p> Signup and view all the answers

<p>Both sides of the equation mirror each other.</p> Signup and view all the answers

<p>If a = b, then b = a (B)</p> Signup and view all the answers

<p>If a = b, and b = c, then a = c.</p> Signup and view all the answers

<p>Any number times its reciprocal equals 1.</p> Signup and view all the answers

<p>Subtraction can be changed to adding a negative (B)</p> Signup and view all the answers

<p>Distributing everything outside parentheses to terms inside (B)</p> Signup and view all the answers

<p>all like terms are combined and all parentheses have been removed.</p> Signup and view all the answers

<p>Plus, sum (D)</p> Signup and view all the answers

<p>Minus, difference (B)</p> Signup and view all the answers

<p>Times, product (B)</p> Signup and view all the answers

<p>Quotient, half (B)</p> Signup and view all the answers

<p>m + 5</p> Signup and view all the answers

<p>x - 7</p> Signup and view all the answers

<p>5a</p> Signup and view all the answers

<p>x/y</p> Signup and view all the answers

<p>6(10 + b)</p> Signup and view all the answers

<p>(3 + b)/y</p> Signup and view all the answers

<p>9t</p> Signup and view all the answers

<p>5y + 10x</p> Signup and view all the answers

<p>2(15 + n)</p> Signup and view all the answers

<p>8r - s</p> Signup and view all the answers

<p>a negative.</p> Signup and view all the answers

<p>a positive.</p> Signup and view all the answers

<p>a positive.</p> Signup and view all the answers

<p>Another word for x values.</p> Signup and view all the answers

<p>Another word for y values.</p> Signup and view all the answers

<p>A set of ordered pairs.</p> Signup and view all the answers

<p>Order pairs, table, mapping, graphs (B)</p> Signup and view all the answers

<p>True (A)</p> Signup and view all the answers

<p>The thing being changed.</p> Signup and view all the answers

<p>The thing being measured.</p> Signup and view all the answers

<p>Equation that describes the function relationship.</p> Signup and view all the answers

<p>If a = b, then a + c = b + c (A)</p> Signup and view all the answers

<p>If a = b, then a c = b c (D)</p> Signup and view all the answers

<p>If a = b, then a - c = b - c (B)</p> Signup and view all the answers

<p>If a = b, then a / c = b / c, c cannot equal 0 (A)</p> Signup and view all the answers

<p>to maintain balance in an equation.</p> Signup and view all the answers

<p>move the variable first.</p> Signup and view all the answers

<p>Variables fall out and leave you with a true statement (like x = x).</p> Signup and view all the answers

<p>Variables fall out and leave you with a false statement (like x = y).</p> Signup and view all the answers

<p>A comparison of two numbers by division.</p> Signup and view all the answers

<p>1:1.5</p> Signup and view all the answers

<p>1:3</p> Signup and view all the answers

<p>An equation where two ratios are equal.</p> Signup and view all the answers

<p>Cross multiply.</p> Signup and view all the answers

<p>Multiply the percentage decimal by the original price and subtract that from the original price.</p> Signup and view all the answers

<p>Multiply the percentage decimal by the original price and add that to the original price.</p> Signup and view all the answers

<p>percent of change/100 = new - original/original.</p> Signup and view all the answers

<p>x, x + 1, x + 2, etc.</p> Signup and view all the answers

<p>x, x + 2, x + 4, etc.</p> Signup and view all the answers

<p>What, cost per item, quantity, total value (B)</p> Signup and view all the answers

<p>What, percentage, quantity, total value (C)</p> Signup and view all the answers

<p>What, amount invested, rate, interest (C)</p> Signup and view all the answers

<p>Rate × Time = Distance.</p> Signup and view all the answers

<p>Opposite direction, round trip, leaving later (A)</p> Signup and view all the answers

<p>Who, rate, time, work (D)</p> Signup and view all the answers

<p>less than.</p> Signup and view all the answers

<p>greater than.</p> Signup and view all the answers

<p>At most, no more than (B)</p> Signup and view all the answers

<p>At least, no greater than (B)</p> Signup and view all the answers

<p>You don't cross multiply; you clear the fractions.</p> Signup and view all the answers

<p>Example of set notation.</p> Signup and view all the answers

<p>Two inequalities connected by and/or.</p> Signup and view all the answers

<p>All of them together (D)</p> Signup and view all the answers

<p>Intersection with 'and' (A)</p> Signup and view all the answers

<p>flip the inequality symbol.</p> Signup and view all the answers

<p>False (B)</p> Signup and view all the answers

<p>Conjunction (C)</p> Signup and view all the answers

<p>Disjunction (D)</p> Signup and view all the answers

<p>Solution to the equation that does not satisfy the original equation.</p> Signup and view all the answers

<p>Eliminate all labels other than the ones you are using in your final answer through cross simplification.</p> Signup and view all the answers

<p>Example of function notation.</p> Signup and view all the answers

<p>What does f(x) really mean?</p> Signup and view all the answers

<p>Function where numbers in between points don't work (D)</p> Signup and view all the answers

<p>Function where everything in between the two points works (A)</p> Signup and view all the answers

<p>Middle number.</p> Signup and view all the answers

<p>Average.</p> Signup and view all the answers

<p>Most common number.</p> Signup and view all the answers

<p>Line your numbers up in numerical order and find the middle number.</p> Signup and view all the answers

All positive whole numbers, excluding zero. (e.g., 1, 2, 3, ...)

All positive whole numbers, including zero. (e.g., 0, 1, 2, 3, ...)

All positive and negative whole numbers, including zero. (e.g., ..., -3, -2, -1, 0, 1, 2, 3, ...)

Numbers that can be expressed as a fraction (a/b), where a and b are integers, and b is not zero.

Numbers that cannot be expressed as fractions, involving roots of non-perfect squares or π.

Numbers resulting from the square root of a negative number, denoted by 'i' where i² = -1.

Describes a member that belongs to a set. Represented by the symbol '∈'.

Combines two sets, including all elements from both sets. Represented by the symbol '∪'.

Includes only the elements common to both sets. Represented by the symbol '∩'.

Every element in the subset is also in another set. Represented by the symbol '⊆'.

A set with no elements. Represented by '{}' or '∅'.

Adding 0 to any number leaves it unchanged. (e.g., a + 0 = a)

Multiplying any number by 1 leaves it unchanged. (e.g., a × 1 = a)

Multiplying any number by 0 results in 0. (e.g., a × 0 = 0)

A number can be replaced by another in an equation if they are equal. (e.g., if a = b, then a can be replaced by b)

An equation is equal to itself. (e.g., a = a)

If a = b, then b = a.

If a = b and b = c, then a = c.

For any number 'a', there exists an additive inverse '(-a)' such that a + (-a) = 0.

For any non-zero number 'a', there exists a multiplicative inverse '1/a' such that a × (1/a) = 1.

Subtracting a number is the same as adding its additive inverse.

a(b + c) = ab + ac

The order of numbers in addition or multiplication does not affect the result.

Grouping of numbers in addition or multiplication does not change the result.

Integers that follow each other in order, represented as x, x+1, x+2, ...

Odd/Even numbers that follow each other in order, represented as x, x+2, x+4, ...

A mathematical statement that compares two values using symbols like <, >, ≤, ≥.

An equation stating that two ratios are equal. (e.g., a/b = c/d)

A method used to solve proportions by multiplying the numerator of one fraction by the denominator of the other.

A relation assigning exactly one output for each input. Represented by f(x).

The variable that is changed or controlled in an experiment.

The variable that is measured or affected by the independent variable.

The average of a set of numbers. Calculated by summing all the numbers and dividing by the number of elements.

The middle value in a sorted list of numbers. If there are two middle values, find their average.

The most frequently occurring number in a dataset.