How do you solve the equation $$8t-5=43$$ for t?

Add 5 to both sides: $$8t=48$$ , then divide by 8: $$t=6$$ .

What is the simplified form of $$25x^2y^8-81$$ ?

The simplified form is $$ig(5xy^4-9ig)ig(5xy^4+9ig)$$ .

How do you solve the equation $$\text{sqrt}{x-4}=9$$ for x?

Square both sides: $$x-4=81$$ , then add 4: $$x=85$$ .

What does it mean for an equation to be in standard form?

An equation is in standard form if it is written as $$Ax + By = C$$ , where A, B, and C are integers.

What is the quadratic formula?

The quadratic formula is $$x = \frac{{-b \text{±} \text{sqrt}{b^2-4ac}}}{{2a}}$$ for the equation $$ax^2 + bx + c = 0$$ .

What is the difference between a rational and an irrational number?

A rational number can be expressed as a fraction, while an irrational number cannot.

What is the Pythagorean theorem?

The Pythagorean theorem states that in a right triangle, $$a^2 + b^2 = c^2$$ , where c is the hypotenuse.

What is a polynomial?

A polynomial is an expression consisting of variables and coefficients, combined using addition, subtraction, and multiplication.

What is the distributive property?

The distributive property states that $$a(b+c) = ab + ac$$ .

What is a system of equations?

A system of equations is a set of two or more equations with the same variables.

What is the difference between an equation and an expression?

An equation states that two expressions are equal, while an expression is a combination of numbers and variables without an equality sign.

TSIA 2.0 Algebraic Reasoning Practice Test Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the total spending function for Libby at the amusement park if she takes y rides?

Back

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

What is the equation of the line that passes through the points (0, -5) and (1, -4)?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

7.

FLASHCARD QUESTION

Front

What is the slope-intercept form of a linear equation?

Back

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