Algebra Class: Verbal to Algebraic Expressions

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Questions and Answers

What is the algebraic expression for the sum of x and 2?

X + 2

What is the algebraic expression for T divided by 8?

T ÷ 8

What is the algebraic expression for the product of 9 and m?

What is the algebraic expression for subtracting 5 from c?

C - 5 Signup and view all the answers

What is the algebraic expression for combining y and 7?

y + 7 Signup and view all the answers

What is the algebraic expression for three-fourths of h?

¾h Signup and view all the answers

What is the algebraic expression for 3 multiplied by d?

3d Signup and view all the answers

What is the algebraic expression for one-quarter added to n?

¼ + n Signup and view all the answers

What is the algebraic expression for b decreased by 10?

b - 10 Signup and view all the answers

What is the algebraic expression for one-half of k?

½k Signup and view all the answers

What is the equation represented by twice the difference between 6 times h and 3 gives 30?

2(6h - 3) = 30 Signup and view all the answers

What is the equation for the sum of 5 times z and 4 divided by two is 7?

(5z + 4)/2 = 7 Signup and view all the answers

What is the equation for twenty-two minus the product of 7 and y yielding 1?

22 - (7y) = 1 Signup and view all the answers

What is the equation for three-fourths of x added to twice of x gives 11?

¾x + 2x = 11 Signup and view all the answers

What is the equation for five times the sum of 6 and 4 multiplied by g is equivalent to 50?

(5(6+4))g = 50 Signup and view all the answers

What is the algebraic expression for one-fourth of h?

¼h Signup and view all the answers

What is the algebraic expression for g reduced by 1?

g - 1 Signup and view all the answers

What is the algebraic expression for the quotient of the square of r and 6?

√r ÷ 6 Signup and view all the answers

What is the algebraic expression for combining the cube of k and 27?

k³ + 27 Signup and view all the answers

What is the algebraic expression for y raised to the fourth power?

y⁴ Signup and view all the answers

What is the algebraic expression for 10 multiplied by m?

10m Signup and view all the answers

What is the algebraic expression for one-half of the cube of k?

½(³√k) Signup and view all the answers

What is the algebraic expression for the square of d?

d² Signup and view all the answers

What is the algebraic expression for adding x to 4?

x + 4 Signup and view all the answers

What is the algebraic expression for j diminished by three-fourths?

j - ¾ Signup and view all the answers

What is the algebraic expression for the value of x being less than 9?

9 > x Signup and view all the answers

What is the algebraic expression for x being more than 15?

x > 15 Signup and view all the answers

What is the algebraic expression for the value of x being at most 7?

7 ≤ x Signup and view all the answers

What is the algebraic expression for 12 being more than x?

12 > x Signup and view all the answers

What is the algebraic expression for the value of x being greater than or equal to 1?

x ≥ 1 Signup and view all the answers

What is the algebraic expression for 19 not being less than x?

19 ≥ x Signup and view all the answers

What is the algebraic expression for x being less than 18?

x < 18 Signup and view all the answers

What is the algebraic expression for the value of x being at least 14?

x ≥ 14 Signup and view all the answers

What is the algebraic expression for 10 not being more than x?

10 ≤ x Signup and view all the answers

What is the algebraic expression for the value of x being less than or equal to 6?

x ≤ 6 Signup and view all the answers

What is the algebraic expression for 4 being less than x?

4 < x Signup and view all the answers

What is the algebraic expression for the value of x not being greater than 8?

x ≤ 8 Signup and view all the answers

What is the algebraic expression for 11 not being more than x?

11 ≤ x Signup and view all the answers

What is the algebraic expression for x being greater than or equal to 3?

x ≥ 3 Signup and view all the answers

What is the algebraic expression for the value of x being greater than 2?

x > 2 Signup and view all the answers

What is the algebraic expression for 5 being less than or equal to x?

5 ≤ x Signup and view all the answers

What is the algebraic expression for p decreased by the total of q and r?

(q + r) - p Signup and view all the answers

What is the algebraic expression for three less than the sum of x and y?

(x + y) - 3 Signup and view all the answers

What is the algebraic expression for c added to the square of b?

b² + c Signup and view all the answers

What is the algebraic expression for the sum of m and n?

m + n Signup and view all the answers

What is the algebraic expression for twice of p minus q?

2p - q Signup and view all the answers

What is the algebraic expression for subtracting the product of x and y from 58?

58 - (xy) Signup and view all the answers

What is the algebraic expression for the ratio of v to w?

v:w Signup and view all the answers

What is the algebraic expression for five times g reduced by the square of h?

5g - h² Signup and view all the answers

What is the algebraic expression for the product of p, q, and r?

pqr Signup and view all the answers

What is the equation for 6 subtracted from the sum of x and 2 times y?

(x + 2y) - 6 Signup and view all the answers

What is the equation for the product of 5 and q being greater than 30?

5q > 30 Signup and view all the answers

What is the equation for twice the square of b being equal to 8?

2b² = 8 Signup and view all the answers

What is the equation for 23 decreased by thrice of y not equaling 15?

3y - 23 ≠ 15 Signup and view all the answers

What is the equation for the total of p, q, and r being less than or equal to 25?

(p + q + r) ≤ 25 Signup and view all the answers

What is the equation for m plus one-half being less than 2?

m + ½ < 2 Signup and view all the answers

What is the equation for the difference between n and 5 giving 18?

n - 5 = 18 Signup and view all the answers

What is the equation for the ratio of x to 4 being at least 6?

x:4 ≥ 6 Signup and view all the answers

What is the equation for the sum of z and 7 not equaling 9?

z + 7 ≠ 9 Signup and view all the answers

What is the equation for the cube of t being less than 12?

t³ < 12 Signup and view all the answers

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Study Notes

Algebraic Expressions from Verbal Phrases

The phrase "The sum of x and 2" translates to the expression X + 2.
"T divided by 8" is expressed as T÷8 or T/8.
"The product of 9 and m" can be written as 9m or 9×m.
"Subtract 5 from c" results in the expression C - 5.
"Combine y and 7" translates to y + 7.
"Three-fourths of h" is represented as ¾h or 3h/4.
"3 multiplied by d" is equivalent to 3d or 3×d.
"One-quarter added to n" translates to ¼ + n.
"b decreased by 10" is expressed as b - 10.
"One-half of k" is represented as ½k or k/2.

Equations from Verbal Phrases

"Twice the difference between 6 times h and 3 gives 30" translates to the equation 2(6h - 3) = 30.
"Sum of 5 times z and 4 divided by two is 7" is expressed as (5z + 4)/2 = 7.
"Twenty-two minus the product of 7 and y yields 1" translates to 22 - (7y) = 1.
"Three-fourths of x added to twice of x gives 11" is written as ¾x + 2x = 11.
"5 times sum of 6 and 4 multiplied by g is equivalent to 50" translates to (5(6+4))g = 50.

Inequalities and Relations

"The value of x is less than 9" is represented as 9 > x.
"x is more than 15" translates to x > 15.
"The value of x is at most 7" is expressed as 7 ≤ x.
"12 is more than x" is represented as 12 > x.
"The value of x is greater than or equal to 1" translates to x ≥ 1.
"19 is not less than x" is written as 19 ≥ x.
"x is less than 18" is expressed as x < 18.
"The value of x is at least 14" translates to x ≥ 14.
"10 is not more than x" is represented as 10 ≤ x.
"Value of x is less than or equal to 6" translates to x ≤ 6.

Additional Algebraic Expressions

"Value of x is greater than 2" is expressed as x > 2.
"p decreased by the total of q and r" can be simplified to (q+r) - p.
"Three less than the sum of x and y" is represented as (x + y) - 3.
"c added to the square of b" translates to b² + c.
"The sum of m and n" is simply m + n.
"Twice of p minus q" translates to 2p - q.
"Subtract the product of x and y from 58" is expressed as 58 - (xy).
"The ratio of v to w" can be written as v:w or v/w or v÷w.
"5 times g reduced by the square of h" translates to 5g - h².
"The product of p, q, and r" is expressed as pqr or p×q×r.

More Complex Equations

"6 is subtracted from the sum of x and 2 times y" results in (x + 2y) - 6.
"Product of 5 and q is greater than 30" translates to 5q > 30.
"Twice the square of b is equal to 8" is expressed as 2b² = 8.
"23 was decreased by thrice of y is not equal to 15" translates to 3y - 23 ≠ 15.
"Total of p, q, and r is lesser than or equal to 25" is written as (p+q+r) ≤ 25.

Comparison and Non-Equality

"m plus one-half is less than 2" translates to m + ½ < 2.
"Difference between n and 5 gives 18" results in n - 5 = 18.
"Ratio of x to 4 is at least 6" translates to x:4 ≥ 6 or x÷4 ≥ 6.
"Sum of z and 7 is not equal to 9" is represented as z + 7 ≠ 9.
"The cube of t is less than 12" indicates t³ < 12.

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