Podcast
Questions and Answers
What is the first step in solving the linear equation $3x + 5 = 14$?
What is the first step in solving the linear equation $3x + 5 = 14$?
- Subtract 5 from both sides. (correct)
- Add 5 to both sides.
- Multiply both sides by 3.
- Divide both sides by 3.
Algebra tiles can be used to model and solve linear equations.
Algebra tiles can be used to model and solve linear equations.
True (A)
Solve for x: $2x - 7 = 3$
Solve for x: $2x - 7 = 3$
5
In the equation $4x + 8 = 20$, the value of x is ______.
In the equation $4x + 8 = 20$, the value of x is ______.
Match the equation type with the number of steps typically required to solve it:
Match the equation type with the number of steps typically required to solve it:
A taxi charges an initial fee of $2.00 plus $0.20 per mile. If a ride costs $5.00, how many miles was the ride?
A taxi charges an initial fee of $2.00 plus $0.20 per mile. If a ride costs $5.00, how many miles was the ride?
When solving a linear equation, you should always perform addition or subtraction before multiplication or division.
When solving a linear equation, you should always perform addition or subtraction before multiplication or division.
Solve for y: $5y + 3 - 2y = 15$
Solve for y: $5y + 3 - 2y = 15$
If $3(x + 2) = 15$, then $x$ equals ______.
If $3(x + 2) = 15$, then $x$ equals ______.
Match the mathematical operation with its inverse operation:
Match the mathematical operation with its inverse operation:
Solve for $x$ in the equation: $5x - 3(x - 2) = 16$
Solve for $x$ in the equation: $5x - 3(x - 2) = 16$
The equation $2x + 5 = 2x - 3$ has infinitely many solutions.
The equation $2x + 5 = 2x - 3$ has infinitely many solutions.
Solve for $z$: $0.25z + 1.5 = 3.5$
Solve for $z$: $0.25z + 1.5 = 3.5$
The solution to the equation $\frac{x}{3} + 5 = 8$ is $x$ = ______.
The solution to the equation $\frac{x}{3} + 5 = 8$ is $x$ = ______.
Match each equation with its solution:
Match each equation with its solution:
If the perimeter of a rectangle is 30 cm and the length is twice the width, what is the width of the rectangle?
If the perimeter of a rectangle is 30 cm and the length is twice the width, what is the width of the rectangle?
The equation $\frac{x+1}{2} = \frac{2x+2}{4}$ has no solution.
The equation $\frac{x+1}{2} = \frac{2x+2}{4}$ has no solution.
Solve the following equation for $x$: $a(x + b) = c$, assuming $a \neq 0$.
Solve the following equation for $x$: $a(x + b) = c$, assuming $a \neq 0$.
If $ax + b = cx + d$, then $x = $ ______ (assuming $a \neq c$).
If $ax + b = cx + d$, then $x = $ ______ (assuming $a \neq c$).
Match the equation with its number of solutions:
Match the equation with its number of solutions:
Flashcards
Multi-step linear equations
Multi-step linear equations
Equations that require multiple steps (addition, subtraction, multiplication, division, distribution) to isolate the variable.
One-step and Two-step linear equations
One-step and Two-step linear equations
Linear equations that can be solved in one or two steps using basic operations to isolate the variable.
Word problems (linear equations)
Word problems (linear equations)
Problems presented in narrative form that require translating words into a mathematical equation before solving.
Algebra tiles
Algebra tiles
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Study Notes
- Focus is on solving linear equations.
- Emphasis on multi-step linear equations.
- Includes solving one-step and two-step linear equations.
- Application through word problems.
- Solving two-step linear equations is taken into account.
- Model and solve linear equations using algebra tiles.
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