Foundations of Math 1 Prep Semester 1 CRT
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Questions and Answers

What is the solution to the equation n + 5 = -13?

  • n = 8
  • n = -8
  • n = 18
  • n = -18 (correct)

What is the result of simplifying the expression 3x - 4y + 3x + 2y?

  • -6x - 2y
  • 6x - 2y
  • -2y
  • 6x + 2y (correct)

What value of k satisfies the equation 17 + k = 8?

  • k = -25
  • k = -8
  • k = -9 (correct)
  • k = 9

What is the solution to the inequality x - 5 > -12?

<p>x &gt; -17 (B)</p> Signup and view all the answers

What is the value of m when solving the equation -48 = 8m?

<p>m = -8 (A)</p> Signup and view all the answers

What is the solution to the inequality 9x < 36?

<p>x &lt; 4 (C)</p> Signup and view all the answers

What is the ordered pair for point N if it is identified as (x, y)?

<p>(3, -2) (B)</p> Signup and view all the answers

Which symbol would make the following statement true: -8 ____ -9?

<p>&lt; (A)</p> Signup and view all the answers

What is the decimal equivalent of the fraction $\frac{5}{25}$?

<p>0.25 (D)</p> Signup and view all the answers

Rewrite $5a^2b$ in expanded form.

<p>5 a a b b (B)</p> Signup and view all the answers

If $a = 2$ and $c = 3$, what is the value of $a c^3$?

<p>54 (C)</p> Signup and view all the answers

What is the simplest form of the expression $\frac{15a}{5}$?

<p>3a (D)</p> Signup and view all the answers

What is the simplified form of the expression $x + 2x$?

<p>3x (B)</p> Signup and view all the answers

What is the value of $2^8$?

<p>256 (B)</p> Signup and view all the answers

Which equation represents 'four times a number is sixty'?

<p>4n = 60 (A)</p> Signup and view all the answers

Flashcards

Decimal Equivalent

A decimal equivalent of a fraction means the same value, expressed as a decimal.

Comparison Symbols

The symbol used to compare two numbers and indicate their relative size. < means less than, > means greater than, = means equal to

Expanded Form

Writing an expression by multiplying each factor individually, without exponents.

Evaluate an Expression

A mathematical expression involving letters (variables) and numbers, where the value of the variables can change. To evaluate it, substitute the given values for the variables.

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Simplify

A fraction is in simplest form when the numerator and denominator share no common factors other than 1.

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Mathematical Expression

A mathematical expression with operations like addition, subtraction, multiplication, and division of numbers and variables. It simplifies to a single numerical value.

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Equation

An equation expressing a relationship between numbers and variables where the left-hand side is equal to the right-hand side.

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Representing with an Equation

To express a given problem or idea as an equation.

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Combining like terms

Combining like terms involves simplifying an expression by grouping terms that have the same variable and exponent. This is done by adding or subtracting their coefficients.

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Solving an equation

To solve an equation, you are trying to find the value for the variable that makes the equation true. This involves isolating the variable by performing inverse operations on both sides of the equation.

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Isolating a variable

To solve for a variable in an equation, you need to isolate it using inverse operations. For example, if you have an addition operation, you would perform subtraction to isolate the variable.

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Inequality

An inequality is a mathematical statement that compares two expressions using symbols such as

(greater than), < (less than), ≥ (greater than or equal to), ≤ (less than or equal to), or ≠ (not equal to).

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Solving inequalities

When solving inequalities, the goal is to find all values of the variable that make the inequality true. You solve inequalities using the same principles as solving equations, but there's one key difference: when you multiply or divide both sides by a negative number, you must flip the inequality sign.

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Ordered pair

An ordered pair (x, y) represents a point on a coordinate plane. The first number (x) indicates the horizontal position, and the second number (y) indicates the vertical position of the point.

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Study Notes

Foundations of Math 1 Prep Semester 1 CRT

  • Decimal Equivalent of 11/27: 0.41
  • Inequality Symbol for -8 and -9: >
  • Expanded Form of 5a²b: 5 * a * a * b
  • Evaluating ac³ if a = 2 and c = 3: 54
  • Simplifying 15a/25: 3a/5
  • Simplifying (x²)³: x⁶
  • Evaluating √16: 4
  • Equation Representing Four Times a Number is Sixty: 4n = 60
  • Expression Equivalent to 4(m + 3): 4m + 12
  • Simplifying 3x - 4y + 3x + 2y: 6x - 2y
  • Solving n + 5 = -13: n = -18
  • Solving 17 + k = 8: k = -9
  • Solving -48 = 8m: m = -6
  • Solving k / -2 = -12: k = 24
  • Solving 3c + 5 = 23: c = 6
  • Solving 4 - 6m = 15: m = 9 / 6 = -9/6
  • Solving x – 5 > -12: x > -7
  • Solving 9x < 36: x < 4
  • Solving 2x + 3 > 11: x > 4
  • Coordinates of Point N on a Graph: (3, -2)

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Test your knowledge on various mathematical concepts in this quiz tailored for the Foundations of Math 1 curriculum. Covering topics such as decimals, inequalities, and equation solving, this assessment will help reinforce your understanding of essential math skills needed for semester exams.

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