Mathematics: Algebra and Geometry Basics

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Questions and Answers

What is the LCM of 4 and 6?

8
12 (correct)
24
18

In the coordinate plane, which point corresponds to the ordered pair (3, -2)?

(-3, 2)
(3, -2) (correct)
(3, 2)
(2, 3)

Which expression shows the correct simplification of $3x + 4x - 2$?

$7x + 2$
$7x - 2$ (correct)
$6x - 2$
$x + 2$

What is the result of adding the fractions $\frac{1}{4}$ and $\frac{1}{2}$?

$\frac{3}{4}$ (A) Signup and view all the answers

Which of the following is the result of $5 + 3 \times 2$ when following the order of operations?

11 (D) Signup and view all the answers

Which of these is an example of a decimal operation?

Multiplying $0.5$ by $2$ (A) Signup and view all the answers

What is the HCF of 12 and 16?

4 (A) Signup and view all the answers

Which of the following statements about LCM and HCF is true?

LCM is always greater than HCF for two numbers. (A), HCF and LCM can be equal for some pairs of numbers. (B) Signup and view all the answers

In coordinate geometry, which term describes the horizontal and vertical lines on a coordinate plane?

Axes (C) Signup and view all the answers

What is the result of simplifying the expression $4x + 2x - 5 + 3$?

$6x - 2$ (B) Signup and view all the answers

Which operation would you perform first when evaluating the expression $3 + 4 imes (2 - 1)$?

Parentheses (A) Signup and view all the answers

Which of the following correctly shows a method to convert a fraction to a decimal?

Divide the numerator by the denominator. (A) Signup and view all the answers

What is the LCM of the integers 3 and 5?

15 (D) Signup and view all the answers

When converting the fraction $rac{3}{4}$ to a decimal, what is the correct result?

0.75 (B) Signup and view all the answers

Which of the following expressions is simplified to its lowest terms?

$x^2 + 2x - 2x$ (B) Signup and view all the answers

According to order of operations, which expression should be evaluated last in the expression $8 - 2 + 5/5$?

8 - 2 (A) Signup and view all the answers

Which statement correctly describes the least common multiple (LCM)?

LCM is the smallest positive number that is divisible by all numbers in a given set. (B) Signup and view all the answers

What is the primary purpose of coordinate geometry?

To define points in a plane using a pair of numerical coordinates. (A) Signup and view all the answers

Which of the following is an example of a simplified algebraic expression?

$2x + 3x - x + 4$ (A) Signup and view all the answers

In the expression $5 + 2 imes 3$, which operation should be performed first according to the order of operations?

Multiplication (B) Signup and view all the answers

Which of the following correctly identifies a characteristic of fractions?

Fractions consist of a numerator and a denominator. (D) Signup and view all the answers

What is the correct procedure for converting the decimal 0.75 to a fraction?

Multiply by 100 and simplify. (A) Signup and view all the answers

In fraction addition, what must be done before combining the fractions if they do not have a common denominator?

Find a common denominator. (C) Signup and view all the answers

Which of the following statements about integers is true?

Integers consist of positive numbers, negative numbers, and zero. (C) Signup and view all the answers

What is the purpose of finding the highest common factor (HCF) of two numbers?

To simplify fractions involving the two numbers (A) Signup and view all the answers

Which ordered pair lies in the second quadrant of a coordinate plane?

(-3, 2) (D) Signup and view all the answers

How should the expression $4 + 3 \times 2 - 6$ be simplified using the order of operations?

4 (A) Signup and view all the answers

What property allows the expression $5(2 + 3)$ to be rewritten as $5 \times 2 + 5 \times 3$?

Distributive property (B) Signup and view all the answers

Which of the following correctly describes the process of adding the fractions $rac{2}{3}$ and $rac{1}{4}$?

Find a common denominator before adding (C) Signup and view all the answers

When graphing the point (0, -3) on the coordinate plane, which axis does it lie on?

Y-axis (A) Signup and view all the answers

To simplify the expression $6x + 4x - 5 + 2$, what is the final simplified form?

$10x - 3$ (A) Signup and view all the answers

What result do you get when dividing the decimal 12.6 by 0.3?

4.2 (C) Signup and view all the answers

Which expression effectively represents the order of operations for $8 + 3 \times 4 - 6$?

Multiply before adding and subtracting (C) Signup and view all the answers

To express the fraction $rac{6}{8}$ in simplest form, what is the resulting fraction?

$\frac{3}{4}$ (B) Signup and view all the answers

Flashcards

Simplifying Algebraic Expressions

Combining like terms in an algebraic expression to make it shorter and easier to understand.

Roman Numerals

A system of writing numbers using letters (I, V, X, L, C, D, M).