Solving Linear Equations and Inequalities

What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)? 3 4 5 9

4

Which equation has no solution? 4(x + 3) + 2x = 6(x + 2) 5 + 2(3 + 2x) = x + 3(x + 1) 5(x + 3) + x = 4(x + 3) + 3 4 + 6(2 + x) = 2(3x + 8)

5 + 2(3 + 2x) = x + 3(x + 1)

Problem #7: Solve x - 3x + 5 = 4x + 11

Answer: x = -1

Problem #9: Solve x + 3x - 4 = 3x - 6

Answer: x = -2

Problem #4: Solve -3x - 4 = 14

Answer: x = -6

Problem #10: Solve 6x + 5 = 9x + 26

Answer: x = -7

Problem #6: Solve -3x + 3 = 4x - 11

Answer: x = 2

Problem #1: Solve 3x + 5x - 2 = 22

Answer: x = 3

Problem #11: Solve 14 = 3x - 2x + 4x - 11

Answer: x = 5

Problem #2: Solve 3x + 1 = 4x - 7

Answer: x = 8

Problem #8: Solve 4x + 5 = 2x + 23

Answer: x = 9

No

Is 4 a possible answer for x: 2x > 8

b≤5

Solve for b:

c>-13

Solve for c:

g > 2

Solve for g: 2g + 4.5 > 8.5

t≤9/8

Solve for t (leave as a fraction):

t≤-5

Solve for t:

x < 2

Solve for x: 6(8x - 14) < 12

Jillana begins to solve a linear equation that results in a variable expression set equal to the same variable expression. Which is the best interpretation of this solution? The equation has one solution: x = 0. The equation has one solution: x = 1. The equation has no solution. The equation has infinite solutions.

The equation has infinite solutions.

Lily begins solving the equation 4(x - 1) - x = 3(x + 5) - 11. Her work is shown below. 4(x - 1) - x = 3(x + 5) - 11 4x - 4 - x = 3x + 15 - 11 3x - 4 = 3x + 4 How can her partial solution be interpreted? The equation has one solution: x = 0. The equation has one solution: x = 8. The equation has no solution. The equation has infinite solutions.

The equation has no solution.

b)

Which letter graph does this linea inequality represent? Write letter as a) or b) etc.

c)

Which letter graph does this linear inequality represent? Write letter as a) or b) etc.

-2,-7

Which of these numbers are possible values for x? Write commas inbetween the numbers.

x + 9 < 22

Write an inequality: The sum of a number and 9 is less than 22

7 - 2x > 85

Write an inequality: Two times a number is subtracted from 7. The difference is greater than 85

(4)

Write answer as (1) or (2) etc.

1)

Write graph number as 1), 2) etc.

How many solutions exist for the given equation? 12x + 1 = 3(4x + 1) - 2 zero one two infinitely many

infinitely many

What is the value of n in the equation (n - 4) - 3 = 3 - (2n + 3)? n =

n = 2

How many solutions exist for the given equation? (x + 12) = 4x - 1 zero one two infinitely many

one

Solve for x. 6(x - 1) = 9(x + 2) x = -8 x = -3 x = 3 x = 8

x = -8

Solve for x. 9(x + 1) = 25 + x x = 2 x = 3 x = 4 x = 5

x = 2

How many solutions exist for the given equation? 3x + 13 = 3(x + 6) + 1 zero one two infinitely many

zero