Algebra Class - Expression Calculations

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What is the result of the expression $(-2) - (-2) * 2 + 2 * (-2)$?

-4 (correct)

0

4

-10

-10 + (-3)(-7) equals 11.

True

What is the result of the expression $rac{-10 + 40}{4 imes 9} + 4 imes 2 + (-6)$?

0

-21 - 18 / -2 equals ______.

−12 Signup and view all the answers

Match the following expressions with their results:

(-2) - (-2) * 2 + 2 * (-2) = -10 -10 + (-3)(-7) = 11 $rac{-10 + 40}{4 imes 9} + 4 imes 2 + (-6)$ = 0 -21 - 18 / -2 = -12 -10 * -2 + |-4| = 10 Signup and view all the answers

What is the result of the expression $-(-12/4) - 50 + ( -25)$?

-70 Signup and view all the answers

The expression $-(-3 imes 5) + (-3) imes |-5|$ equals -15.

True Signup and view all the answers

Calculate the value of the expression $-3 - 2 + (-6) - \frac{4 \times (-10)}{2 \times -1} - 3(-4)$.

3 Signup and view all the answers

In the expression $4[3(a-2)] - b$, for $a$ equal to -2 and $b$ equal to 3, the result is ______.

27 Signup and view all the answers

Match the problems with their operations or results:

Problem 6 = Combine fractions and integers Problem 7 = Multiply and simplify Problem 8 = Order of operations Problem 9 = Substitution and evaluation Signup and view all the answers

What is the result of the operation $rac{-2}{8} + rac{2}{6}$?

$rac{1}{12}$ Signup and view all the answers

The result of $-rac{3}{5} + rac{3}{4}$ is a negative number.

False Signup and view all the answers

What is the result of $rac{15}{4} - rac{8}{-2}$?

$rac{31}{4}$ Signup and view all the answers

The result of $rac{5}{4} - rac{3}{8}$ is ______.

$rac{7}{8}$ Signup and view all the answers

Match each fraction operation with its result:

$rac{-2}{8} + rac{2}{6}$ = $rac{1}{12}$ $-rac{3}{5} + rac{3}{4}$ = $rac{3}{20}$ $rac{15}{4} - rac{8}{-2}$ = $rac{31}{4}$ $rac{5}{4} - rac{3}{8}$ = $rac{7}{8}$ Signup and view all the answers

Which property is demonstrated by the equation $a + b + c = c + a + b$?

Commutative Property of Addition Signup and view all the answers

Which of the following statements about the fraction comparison is true?

$rac{5}{15}$ is less than $rac{9}{10}$ Signup and view all the answers

The equation $(3 + 4)(5 + 6) = (3 + 4)(6 + 5)$ demonstrates the Associative Property of Addition.

False Signup and view all the answers

$rac{12}{8} + rac{12}{10} = rac{59}{40}$

False Signup and view all the answers

What is the LCM of $13x^{2}y$ and $2x^{4}y'$?

26x^{4}y Signup and view all the answers

What property is demonstrated by the equation $5x + 35 = 5(x + 7)$?

Distributive Property Signup and view all the answers

The result of $-3 rac{2}{4} - rac{5}{4}$ is ______.

-4 Signup and view all the answers

The equation $a(1) = a$ demonstrates the ______ property.

Multiplicative Identity Signup and view all the answers

Match the following operations with their results:

Compare $rac{5}{15}$ and $rac{9}{10}$ = False Add $rac{12}{8}$ and $rac{12}{10}$ = True Find LCM of $13x^{2}y$ and $2x^{4}y'$ = 26x^{4}y Subtract $-3 rac{2}{4}$ and $rac{5}{4}$ = -4 Signup and view all the answers

Match the equations with their corresponding properties:

(a + b)(r + s) = (r + s)(a + b) = Commutative Property of Multiplication (x + c) + 11p = x + (c + 11p) = Associative Property of Addition 10 + 0 = 0 + 10 = Commutative Property of Addition 5x + 35 = 5(x + 7) = Distributive Property Signup and view all the answers

What is the simplified result of Problem 1: $rac{1}{4}(8x-20)-rac{2}{3}(-9x+15)$?

$rac{14}{3}x - 5$ Signup and view all the answers

The expression in Problem 4: $6-2(3x-8)+6x$ simplifies to $0$.

False Signup and view all the answers

Simplify Problem 3: $(7-2x)(-3)-(x-8y+11)-12$. What is the simplified expression?

6x - 8y - 27 Signup and view all the answers

In Problem 2: $3(2x-4)-(x+2y-7)+3y-4+2(3x-8)$, the simplified expression results in __________.

9x + y - 15 Signup and view all the answers

Match the problem number with its simplified result:

Problem 1 = $rac{14}{3}x - 5$ Problem 2 = $9x + y - 15$ Problem 3 = $6x - 8y - 27$ Problem 4 = $6x + 10$ Signup and view all the answers

What is the primary focus of the mathematical content shown in OneNote?

Algebra Signup and view all the answers

The equation $rac{x-2}{x-4} = rac{x+5}{x-10}$ represents a geometry problem.

False Signup and view all the answers

What type of mathematical documents does OneNote likely support based on the provided content?

Notes, equations, and mathematical formulas Signup and view all the answers

The equation $rac{x^{2} + 3x + 5}{5} = rac{x^{2} - 6}{6}$ can be classified as an __________ equation.

algebraic Signup and view all the answers

Match the following mathematical concepts to their descriptions:

Solving equations = Finding the values of variables that satisfy the equation Simplifying expressions = Reducing expressions to their simplest form Fractions = A way to represent a part of a whole Variables = Symbols that represent numbers in equations Signup and view all the answers

What is the solution to the equation $2x - 8x + 7 = -12 - 3$?

x = -4 Signup and view all the answers

The expression $-5(2x - 3) + 8x - 4 = -3x + 8x - 10$ simplifies to a true statement.

False Signup and view all the answers

What is the solution to the equation $-2 - x^3 = 10$?

-3 Signup and view all the answers

To simplify the expression $-7x + 15 - 4(5 - 2x) + 8x - 5(3x - 6) - 9(-8x + 7)$, the value of x is __________.

5 Signup and view all the answers

Match the equations to their solutions:

2x - 8x + 7 = -12 - 3 = x = -4 -5(2x - 3) + 8x - 4 = -3x + 8x - 10 = No solution -2 - x^3 = 10 = x = -3 Expression $E$ for simplification = x = 5 Signup and view all the answers

Which sports drink offers a better value for the price?

32-ounce bottle for $2.49 Signup and view all the answers

If the exchange rate is $1.00 for every 0.7075 British pounds, then 235 pounds would equal approximately $332.00.

True Signup and view all the answers

How many total free throw attempts will it take Blanca to make 668 free throws?

856 Signup and view all the answers

The measure of BF in rectangle ABCD is _____ inches.

20 Signup and view all the answers

Match each measurement with its corresponding value:

30 in = Length of side AD 20 in = Length of side AB 18 in = Length of side EF 220 miles = Distance between Athens and Birmingham Signup and view all the answers

What is the simplified form of the expression: $-7x + 15 - 4(5 - 2x) + 8x - 5(3x - 6) - 9(-8x + 7)$?

$-x + 54$ Signup and view all the answers

The solution to the equation $9 - x = -12$ is x = 21.

False Signup and view all the answers

What is the solution to the equation $-15 - \frac{x}{7} = -11$?

x = -28 Signup and view all the answers

To solve $rac{1}{5}(-10x - 15) = -\frac{1}{2}(-8x + 4)$, first multiply both sides by _____.

10 Signup and view all the answers

Algebra Class - Expression Calculations

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Questions and Answers

What is the result of the expression $(-2) - (-2) * 2 + 2 * (-2)$?

-10 + (-3)(-7) equals 11.

What is the result of the expression $ rac{-10 + 40}{4 imes 9} + 4 imes 2 + (-6)$?

-21 - 18 / -2 equals ______.

Match the following expressions with their results:

What is the result of the expression $-(-12/4) - 50 + ( -25)$?

The expression $-(-3 imes 5) + (-3) imes |-5|$ equals -15.

Calculate the value of the expression $-3 - 2 + (-6) - \frac{4 \times (-10)}{2 \times -1} - 3(-4)$.

In the expression $4[3(a-2)] - b$, for $a$ equal to -2 and $b$ equal to 3, the result is ______.

Match the problems with their operations or results:

What is the result of the operation $ rac{-2}{8} + rac{2}{6}$?

The result of $- rac{3}{5} + rac{3}{4}$ is a negative number.

What is the result of $ rac{15}{4} - rac{8}{-2}$?

The result of $ rac{5}{4} - rac{3}{8}$ is ______.

Match each fraction operation with its result:

Which property is demonstrated by the equation $a + b + c = c + a + b$?

Which of the following statements about the fraction comparison is true?

The equation $(3 + 4)(5 + 6) = (3 + 4)(6 + 5)$ demonstrates the Associative Property of Addition.

$ rac{12}{8} + rac{12}{10} = rac{59}{40}$

What is the LCM of $13x^{2}y$ and $2x^{4}y'$?

What property is demonstrated by the equation $5x + 35 = 5(x + 7)$?

The result of $-3 rac{2}{4} - rac{5}{4}$ is ______.

The equation $a(1) = a$ demonstrates the ______ property.

Match the following operations with their results:

Match the equations with their corresponding properties:

What is the simplified result of Problem 1: $ rac{1}{4}(8x-20)- rac{2}{3}(-9x+15)$?

The expression in Problem 4: $6-2(3x-8)+6x$ simplifies to $0$.

Simplify Problem 3: $(7-2x)(-3)-(x-8y+11)-12$. What is the simplified expression?

In Problem 2: $3(2x-4)-(x+2y-7)+3y-4+2(3x-8)$, the simplified expression results in __________.

Match the problem number with its simplified result:

What is the primary focus of the mathematical content shown in OneNote?

The equation $ rac{x-2}{x-4} = rac{x+5}{x-10}$ represents a geometry problem.

What type of mathematical documents does OneNote likely support based on the provided content?

The equation $ rac{x^{2} + 3x + 5}{5} = rac{x^{2} - 6}{6}$ can be classified as an __________ equation.

Match the following mathematical concepts to their descriptions:

What is the solution to the equation $2x - 8x + 7 = -12 - 3$?

The expression $-5(2x - 3) + 8x - 4 = -3x + 8x - 10$ simplifies to a true statement.

What is the solution to the equation $-2 - x^3 = 10$?

To simplify the expression $-7x + 15 - 4(5 - 2x) + 8x - 5(3x - 6) - 9(-8x + 7)$, the value of x is __________.

Match the equations to their solutions:

Which sports drink offers a better value for the price?

If the exchange rate is $1.00 for every 0.7075 British pounds, then 235 pounds would equal approximately $332.00.

How many total free throw attempts will it take Blanca to make 668 free throws?

The measure of BF in rectangle ABCD is _____ inches.

Match each measurement with its corresponding value:

What is the simplified form of the expression: $-7x + 15 - 4(5 - 2x) + 8x - 5(3x - 6) - 9(-8x + 7)$?

The solution to the equation $9 - x = -12$ is x = 21.

What is the solution to the equation $-15 - \frac{x}{7} = -11$?

To solve $ rac{1}{5}(-10x - 15) = -\frac{1}{2}(-8x + 4)$, first multiply both sides by _____.

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What is the result of the expression $rac{-10 + 40}{4 imes 9} + 4 imes 2 + (-6)$?

What is the result of the operation $rac{-2}{8} + rac{2}{6}$?

The result of $-rac{3}{5} + rac{3}{4}$ is a negative number.

What is the result of $rac{15}{4} - rac{8}{-2}$?

The result of $rac{5}{4} - rac{3}{8}$ is ______.

$rac{12}{8} + rac{12}{10} = rac{59}{40}$

What is the simplified result of Problem 1: $rac{1}{4}(8x-20)-rac{2}{3}(-9x+15)$?

The equation $rac{x-2}{x-4} = rac{x+5}{x-10}$ represents a geometry problem.

The equation $rac{x^{2} + 3x + 5}{5} = rac{x^{2} - 6}{6}$ can be classified as an __________ equation.

To solve $rac{1}{5}(-10x - 15) = -\frac{1}{2}(-8x + 4)$, first multiply both sides by _____.