Algebraic Sentences

The meaning of (p + q)² in sentence form

• The sum of p and q square

• The sum of p and q

• The sum of p and q, all squared

The meaning of c + 3d in sentence form

• The sum of c and d

• The sum of c timed d and three

• The sum of c and three times d

Translate this verbal equation into an algebraic equation:

Twice a number, n, is 24

• 2n = 24

• 2/n = 24

• 2 + n = 24

• 2 - n = 24

Translate this verbal equation into an algebraic equation: Eight more than a number, s, is twenty

• s + 8 = 20

• s + 20 = 8

• 20 + 8 = s

• 8 + s = 20

Translate this verbal equation into an algebraic equation: The number, c, decreased by 6 is 23

• 6 - c = 23

• c + 6 = 23

• c - 6 = 23

• c/6 = 23

Translate this verbal equation into an algebraic equation:

• w - 10 = 32

• w + 10 = 32

• 10 + w = 32

• 32 - 10 = w

Translate this algebraic equation into a verbal equation:

c - 6 = 23

• The number, c, decreased by 6 is 23

• The number, c, less than 6 is 23

• 6 minus the number, c, is 23

• 23 minus the number, c, is 6

Translate this algebraic equation into a verbal equation:

14c = 140

• The quotient of 14 and the number, c, is 140

• 14 times the number, c, is 140

• 14 more than the number, c, is 140

• 140 divided by the number, c, is 14

What is the difference between an expression and equation?

• Expressions have an equation sign and equations do not.

• Equations have an equal sign and expressions do not.

• Expressions and equations are the same.

• Equations have variables and expressions do not.

Translate this verbal equation into an algebraic equation:

• x - 5 = 15

• 5 - x = 15

• 15 - x = 5

• 15 - 5 = x