Solving One-Step Equations
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Questions and Answers

Solve the following equation: X + 8 = 15

  • 23
  • 7 (correct)
  • -23
  • -7

Solve the following equation: 18 = 3b

  • 54
  • 21
  • 6 (correct)
  • 15

Solve the equation: x - 3 = -12

  • x = -15
  • x = -9 (correct)
  • x = 9
  • x = 15

Solve the equation: x - 5.5 = -10.5

<p>x = -5 (D)</p> Signup and view all the answers

Which equation has w = 8 as the solution?

<p>4 + w = 10 (C)</p> Signup and view all the answers

Solve the equation: 20.5 = x + 4

<p>16.5 (C)</p> Signup and view all the answers

Solve for x: $\frac{X}{5} = 2$

<p>x = 10 (C)</p> Signup and view all the answers

3c = 12

<p>4 (C)</p> Signup and view all the answers

X - 12 = 2

<p>14 (B)</p> Signup and view all the answers

9 + x = 18

<p>9 (A)</p> Signup and view all the answers

35 = y - 3

<p>38 (A)</p> Signup and view all the answers

To solve the equation: 4p = 16 what needs to be done to both sides to isolate the variable?

<p>Divide by 4 (A)</p> Signup and view all the answers

When solving the equation 3x = 27, what should you do to both sides to isolate the variable?

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

Mathematically, what is the 10 doing to the x? 10x = 90

<p>Multiplying 10 (B)</p> Signup and view all the answers

Solve the equation 3x = 27.

<p>x = 9 (D)</p> Signup and view all the answers

The inverse/opposite operation of addition is _______.

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

Solve 4n=24

<p>n = 6 (B)</p> Signup and view all the answers

-16 + x= -15

<p>1 (C)</p> Signup and view all the answers

Flashcards

Solving an Equation

Finding the value of the variable that makes the equation true.

Equation

A mathematical statement with an equals sign (=).

Variable

A symbol (usually a letter) representing an unknown value.

Coefficient

A number placed before a variable (e.g., 3 in 3x).

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Inverse Operation

Performing the opposite operation to isolate the variable.

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Isolate the Variable

To get the variable alone on one side of the equation.

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Inverse Operation of Subtraction

Addition is the inverse operation of subtraction

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Maintaining Equality

Performing the same operation on both sides of an equation.

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Inverse of Addition

The opposite of adding

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Inverse of Multiplication

The opposite of multiplication

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Isolating a Variable

To undo the operation that the variable has in order to isolate it.

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Solving x + 8 = 15

Use subtraction to isolate the variable. Subtract 8 from both sides.

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Solving 8 = m - 12

Use addition to isolate the variable. Add 12 to both sides.

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Solving 18 = 3b

Use division isolate the variable. Divide both sides by 3.

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Solving c/4 = 4

Use multiplication to isolate the variable. Multiply what's on either side of the equals sign by 4

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Solving x - 3 = -12

Use addition to isolate the variable. Add 3 to both sides.

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Solving 20.5 = x + 4

Use subtraction to isolate the variable. Subtract 4 from both sides.

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What do equations have?

The equal sign.

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'5 less than a number is 15'

Translate 'less than' to a subtraction expression.

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Opposite Operations

Using inverse operations to isolate the variable.

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Solving x + 7 = 12

To isolate the variable (x), subtract 7 from both sides.

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Word Problem Equation

Write an equation with variable 'x' representing picked peaches.

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234 + N =389

Use subtraction to solve for the variable

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m - 5 = 15

Adding un-does subtracting

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Solving for b 4 + b = 30

By subtracting 4 from both sides

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Solving x ÷ 2 = 12

You multiply by 2 on what is on either side of the equals sign.

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Isolate the Variable

In other words, perform the inverse operation to both sides

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-4x = 16.. is it plus, minus times or divide?

The variable is being multiplied by a number

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-4x = 16... solve it

You divide to isolate. Divide what either side of the equals sign by -4

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-12 = x - 9 ... solve it

Use addition to isolate the variable

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Study Notes

  • The assessment is about one-step equations.
  • It consists of 130 questions
  • The estimated time to complete the worksheet is 33 hours and 30 minutes.
  • The instructor is Alicia Martinez.

Solving One-Step Equations

  • To solve x + 8 = 15, the value of x is 7.
  • To solve 8 = m - 12, the value of m is 20.
  • To solve 18 = 3b, the value of b is 6.
  • To solve 2y = 18, the value of y is 9.
  • To solve c / 4 = 4, the value of c is 16.
  • To solve x - 3 = -12, the value of x is -9.
  • To solve x -5.5 = -10.5, the value of x is -5.
  • 8w = 64 has w = 8 as the solution.
  • To solve 20.5 = x + 4, the value of x is 16.05
  • To solve x/5 = 2, the value of x is 10.
  • To solve 3c = 12, the value of c is 4.
  • To solve x - 12 = 2, the value of x is 14.
  • To solve 9 + x = 18, the value of x is 9.
  • To solve 4x = 8, the value of x is 2.
  • To solve x + 4 = -3, the value of x is -7.
  • To solve 5 = f-2, the value of f is 7.
  • To solve 35 = y-3, the value of y is 38.
  • To solve 4p = 16, divide both sides by 4 to isolate the variable.
  • To solve 3x = 27, divide both sides by 3 to isolate the variable.
  • In the equation 10x = 90, the 10 is multiplying, and the value of x is 9.
  • To solve the equation 3x = 27, x = 9.
  • The inverse/opposite operation of addition is subtraction.
  • The inverse/opposite operation of division is multiplication.
  • To solve 4n = 24, n = 6.
  • To solve 5m = 25, m = 5.
  • To solve y - 4 = 6, y = 10.
  • To solve x - 8 = -5, x = 3.
  • To solve x + 12 = 20, x = 8.
  • To solve 18 + m = 8, m = -10.
  • To solve -16 + x = -15, x = 1.
  • To solve 19 + a = -50, a = -69.
  • To solve -12 + c = 38, c = 50.
  • To solve a - 27 = 41, the value of a is 68.
  • To solve x - 8 = -5, the value of x is 3.
  • To solve 10 = -7 + b, the value of b is 17.
  • To solve x - (-1) = 11, the value of x is 10.
  • To solve x + 8 = 15, the value of x is 7.
  • To solve 13 + x = -25, the value of x is -38.
  • To solve n - 4 = 12, the value of n is 16.
  • To solve -10 + x = 20, the value of x is 30.
  • To solve 12 = n - 8, the value of n is 20.
  • To solve 5n = 30, the value of n is 6.
  • To solve -42 = -6y, the value of y is 7.
  • The inverse operation of subtraction is addition.
  • The inverse operation of division is multiplication.
  • The objective when solving an equation is to isolate the variable.
  • Given x/5 = 20, the value of x is 100.
  • Given 8 - y/3 , the value of y is 24.
  • Given n/5 = -5, the value of n is -25.
  • Given 1/2 * x = 7, the value of x is 14.
  • Given 3/4 * a = 6, the value of a is 8
  • When solving an equation, the goal is to isolate the variable to solve.
  • To solve 4p = 16, the value of p is 4.
  • Adding 5 to both sides is the best first step to solve -3 = x + 5.
  • The inverse operation of subtraction is addition.
  • To solve 7x = 14, the value of x is 2.
  • The inverse operation of division is multiplication.
  • Given x/2 = -4, the value of x is -8
  • Expressions have an equal sign and equations do not have an equal sign which is the main difference
  • Given 14 = 9 + x, the value of x is 5
  • "5 less than a number is 15" can be expressed as 15 - x = 5.
  • Given -10 + x = 6, the value of x is 16.
  • Using the "opposite operation" to "undo" and isolate the variable when solving an equation is known as inverse operations
  • Given x + 7 = 12, subtract 7 from both sides, and the solution is x = 5
  • Two more than 4 times a number is -18 can be expressed as 4x + 2 = -18
  • Sally had 10 peaches, picked more, and now has 73 totals can be expressed as x + 10 = 73
  • When solving 234 + N = 389, subtraction would be used to find the answer.
  • Given 15 = m -5, add 5 to both sides to solve for the variable.
  • Solve for x when given 17 = x + 3, the answer is x = 14.
  • Solve for x when given x + 12 = 20, the answer is x = 8.
  • Given 4 + b = 30, the the value of b is 26.
  • Given x - 32 = 49, the value of x is 81.
  • Given y - 4.6 = 12, the value of y is 16.6
  • Given 4x =44, the value of x is 11.
  • Given x/2 = 12, the value of x is 24.
  • Given 10x = 90, the value of x is 9.
  • Given x + 13 = 8, the value of x is -5.
  • To isolate the variable in an equation, perform the inverse operation of whatever is happening to the variable on both sides.
  • In the equation -4x = 16, multiplication is the operation happening to the variable.
  • To isolate the variable in -4x= 16, divide by -4 on both sides.
  • In the equation -12 = x - 9, subtraction is happening to the variable.
  • How to isolate the variable in the following equation: -12 = x - 9?, add 9 on both sides
  • Given x/-8 = -32, multiplication is happening to the variable.
  • To isolate the variable in x/-8 = 32 multiply -8 on both sides
  • The operation that is happening to the variable: is addition in 15= x + 19
  • With 15 = x + 19 you add 19 on both sides to isolate
  • X/-7 = -7 solve by multiplying -7 for both sides
  • Solve equation c-8 = -12. You isolate by aading 8 to both sides
  • -11x = 55 solve by dividing by 11 on both sides
  • Solve x+ 9 =-3, isolate the variable by subtracting 9
  • Solve equation x +2 = 10 you isolate by subtracting 2 from both sides
  • -2 +x = 15 you isolate by adding 2 from both sides
  • x- 12 solve you isolate by adding 12 from both sides
  • What is the inverse of subtraction? Adding
  • The inverse of dividing is multiplying
  • j+ 68 = 100 by subtracting 68
  • Isolate by subtract 8 in the equation q+8=12
  • Isolate the variable y+ 25 you need isolate by subtract 25
  • How do you isolate the variable in 19+ a=-50 by subtracting 19 on both sides
  • What is the next step to isolate variable is add 62 x-62=123
    • 25= m- 12 by adding 12
  • If 51+k=-142 by subtracting 51
  • Decreased by is associated with subtraction
  • Equation for buying more video games is v+4 = 10
  • You can solve t/-8=12 by multiplying both sides by -8
  • A way to solve - 3y= - 24 for dividing.
  • You should multiply both sides by three halves
  • Way to solve the equation is to multiply both sides by 3.

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Description

This assessment focuses on solving one-step equations. It includes problems involving addition, subtraction, multiplication and division to find the value of a variable. Practice solving for x to master the basics of algebra.

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