How do you solve the equation $$\frac{x-1}{6}=\frac{10}{12}$$ ?

Multiply both sides by 6 to get $$x-1=5$$ , then add 1 to find $$x=6$$ .

What is the solution to the equation $$x^2 - 4 = 0$$ ?

one real solution: $$x=2$$ and $$x=-2$$ .

What is the first step in solving the equation $$2x + 3 = 11$$ ?

Subtract 3 from both sides to isolate the term with x.

What is the solution to the equation $$x^2 + 1 = 0$$ ?

no real solution, since the square of a real number cannot be negative.

What is the significance of the discriminant in a quadratic equation?

The discriminant determines the nature of the roots: if positive, two real solutions; if zero, one real solution; if negative, no real solution.

What is the solution to the equation $$\frac{2x+3}{4}=1$$ ?

Multiply both sides by 4 to get $$2x+3=4$$ , then solve for $$x=0.5$$ .

What does it mean if a student solved an equation correctly?

It means they applied the correct mathematical operations and arrived at the right solution.

What is the solution to the equation $$x^2 - 1 = 0$$ ?

two real solutions: $$x=1$$ and $$x=-1$$ .

CAASPP Equations and Reasoning Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Back

no real solution

2.

FLASHCARD QUESTION

Front

What does it mean if an equation has no real solution?

Back

It means that there are no values of the variable that satisfy the equation.

3.

FLASHCARD QUESTION

Front

What is the correct interpretation of a student's work if they made an error in step 2?

Back

The student did not correctly apply the mathematical principles in the second step of their solution.

4.

FLASHCARD QUESTION

Front

Back

no real solution

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that there are an infinite number of values for the variable that satisfy the equation.

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