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Solving Linear Equations

100

Solve the equation.

-2 = -5t + 10 + 2t

4

200

Solve the equation.

4b + 14 = 22

2

300

Solve the equation.

(x/3) + 8 = 10

6

400

Solve the equation.

(x - 5 / 3) + 4x = 7

2

500

Solve the equation.

(x + 24 / 2) + 3 = 5

-20

Solving Linear Equations with Variables on Both Sides

100

Solve for x.

5 (2x + 6) = 8x  + 48

x = 9

200

Solve for h.

-3 (8 + 3h) = 5h + 4

h = -2

300

Solve the equation. Is it an identity or does it have no solution?

2 (y - 6) = 3 (y - 4) - y

identity

400

Solve the equation. Is it an identity or does it have no solution?

12b + 9 = 12b + 11

no solution

500

How many solutions does the equation 4x + 2 (x - 5) = 3 (2x - 4) have?

A. No solutions

B. Exactly one solution

C. At least two solutions

D. Infinitely many solutions

A. No solution

Solving Inequalities in One Variable

100

The solution to -4 (3x - 1) + 6x > 16 is x < -2. 

When graphing this solution on a number line, will there be an open or closed circle?

open circle

200

Solve the inequality.

-3 (2x + 2) < 10

x > -8/3

300

When graphing x < 7 on a number line, will the graph be shaded to the left or to the right of 7?

Left

400

Solve the inequality. Is the solution all real numbers or is there no solutions?

-2 (4x - 2) < -8x + 4

no solution

500

Solve the inequality. Is the solution all real numbers or is there no solutions?

-6x - 5 < -3 (2x + 1)

all real numbers

Absolute Value Equations and Inequalities

100

How many solutions does an absolute value equation have?

Two

200

Solve the absolute value equation.

6 = | x | - 2

-8, 8

300

Solve the absolute value equation.

| 3x - 6 | = 12

-2, 6

400

Would | x | > 15 be an AND or an OR inequality?

OR

500

Solve the absolute value inequality. What are the solutions?

| 4x - 12 | < 20

x > -2 AND x < 8 or -2 < x < 8