Equations and Inequalities - Translate and Solve

Translate the phrase or sentence into an equation, inequality, or expression:

"Eight less than twice a number is fourteen."

• 8 - 2n = 14

• 2 - 8n = 14

• 2n - 8 = 14

• 14 - 2n = 8

Tags

CCSS.HSA.CED.A.1

Translate the phrase or sentence into an equation, inequality or expression:

"Twice the sum of a number and 3 is 20."

• 2(3n) = 20

• 2(n+3) = 20

• 3n + 2 = 20

• 3(2n) = 20

Tags

CCSS.HSA.CED.A.1

Translate the phrase or sentence into an equation, inequality or expression:

"Five less than the product of a number and 3 is at least -7."

• 5 - 3n < -7

• 3n - 5 > -7

• 3n - 5 < -7

• 5 - 3n = -7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Write the phrase or sentence as an equation, inequality or expression:

"Four more than the quotient of a number and 3 is at most 9."

• n/3 + 4 < 9

• 3/n + 4 < 9

• n/3 + 4 > 9

• n/3 + 4 < 9

Tags

CCSS.HSA.CED.A.1

Solve the following: -3x < 4x + 8

• x = -8/7

• x < -8/7

• -3 < 4x

• x > -8/7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve: 2(3x - 1) = 2x - 1

• x = 1/4

• x = -1.33

• x = -.25

• x = 4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve: n/-3 + 4 < -2

• n > 18

• n < 18

• n < -18

• n > -18

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve: 3b - 5 < 13

• b < 6

• b > 6

• b < -7/3

• b > 7/3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

You get a solution of n > 21. Is -21 a possible solution?

• Yes; -21 is greater than 21 so therefore it is a solution.

• No; -21 is not greater than 21 so therefore it is not a solution.

• No; the solution is 21, not -21.

• Yes, 21 is the solution.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Malcolm solved the following inequality for u. His solution is below. Is his solution correct and why or why not?

-9u - 11 < -20

-9u - 11 + 11 < -20 + 11

-9u < -9

-9u < -9

-9 -9

u < 1

• His solution is correct; there are no errors.

• His solution is wrong because he divided by a negative and did not change the inequality symbol.

• His solution is wrong because he should have divided by -9 first.

• His solution is wrong because his answer should be -1, not positive 1.

Tags

CCSS.HSA.REI.B.3