Brackets, Equations, and Inequalities

Question 1

What is the purpose of brackets in mathematical expressions?

Answer 1

Brackets indicate which operations should be performed first in an expression.

Question 2

True or False: In the expression 3 + (4 × 2), you should multiply 4 and 2 before adding 3.

Answer 2

True

Question 3

Fill in the blank: In the equation x + 5 = 12, the value of x is ____.

Answer 3

7

Question 4

What is the general form of a linear equation?

Answer 4

The general form is Ax + B = C, where A, B, and C are constants.

Question 5

Multiple choice: Which of the following is an example of an inequality? A) x + 2 = 5 B) x - 3 > 7 C) 2x = 10

Answer 5

B) x - 3 > 7

Question 6

What does it mean to solve an equation?

Answer 6

To solve an equation means to find the value(s) of the variable that make the equation true.

Question 7

True or False: The expression 2(x + 3) is equivalent to 2x + 6.

Answer 7

True

Question 8

Fill in the blank: An inequality that shows one quantity is less than or equal to another is written as ____.

Answer 8

≤

Question 9

Short answer: What is the solution set of the inequality x < 5?

Answer 9

All real numbers less than 5.

Question 10

Multiple choice: Which of the following represents the equation of a line? A) y = mx + b B) x + y = 0 C) x^2 + y^2 = r^2

Answer 10

A) y = mx + b

Question 11

What is the first step to solve the equation 2x - 4 = 10?

Answer 11

Add 4 to both sides of the equation.

Question 12

Fill in the blank: The distributive property states that a(b + c) = ____.

Answer 12

ab + ac

Question 13

True or False: The solution to the inequality 3x + 2 < 11 is x < 3.

Answer 13

True

Question 14

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

Answer 14

8 + 4x - 3, which simplifies to 4x + 5.

Question 15

Multiple choice: Which symbol represents ‘greater than’? A) < B) > C) =

Answer 15

B) >