Solving Equations and Inequalities

Solve 4x - 3 = 2x + 17

• x = 10

• x = -10

• x = 17/6

• x = 7

Solfe 3w - (-4) = 8 - w

• w = -1

• w = 2

• w = 1

• w = -5

Solve 3(2x - 7) = 5x + 4

• x = 20

• x = 11

• x = -11

• x = 25

Tags

CCSS.8.EE.C.7B

Solve 8m - 3 - 3m = 4(3m + 1)

• m = -1

• m = 2

• m = -2

• m = 1

Solve 3(8y + 2) = 10y + 2(7y + 3)

• no solution

• y = 0

• all real numbers

• y = 12

Solve 2(6u - 1) -3u = 9u + 8

• no solution

• all real numbers

• u = 0

• u = 1

Solve the inequality: -3(2x - 7) > -5x - 4

• x > 25

• x > -25

• x < 25

• x < 0

Solve 3 - 3w + 5 > -5w - 7 + 3w

• w > 15

• w < 15

• w > 20

• w < -20

Translate into an algebraic equation: "Three more than twice a number is 45"

• 3n + 2 = 45

• 3 + 2n = 45

• 6n = 45

• 3(2n + 3) =45

Translate to an algebraic equation: "The quotient of a number and six decreased by ten is four more than the number"

• (n/6) - 10 = 4 + n

• 6n - 10 = 4 + n

• (6/n) - 10 = 4 + n

• 60n = 4n