One Step Solving Equations and Inequalities

The objective when solving an equation is to....

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.

Which equation has x=9 as a solution

• 4 + x = 12

• 5x = 45

• 2x = 20

• x + 7 = 26

Sam earns $4 per hour completing chores on the weekends. Last weekend, he earned $10. Use the model to determine x, the number of hours Sam worked last weekend.

• x = 10

• x = 2

• x = 2 1/2

• x = 6

Which figure shows the inequality x > -4?

• Figure 1

• Figure 2

• Figure 3

• Figure 4

8x ≥ -32

• x ≥ -4

• x ≥ 4

• x ≤ -4

• x ≥ 4

s + 9 ≥ -25

• s ≥ -18

• s ≥ -34

• s ≤ 18

• s ≥ 34

Greg wrote in his math journal that 17 - x = 9 is an example of an algebraic equation. Which statement is true about the example Greg wrote in his math journal?

• Greg's example is an equation because there is a variable present.

• Greg's example is an equation because it is a number sentence stating two amounts are equivalent.

• Greg's example is an equation because x can represent any value.

• Greg's example is an equation because there are two numbers present.

Here's the exception! When you multiply or divide both sides of the inequality by a negative number, you must flip/reverse the inequality sign!

• Got it! Just like in the video!

• Hmmm, I hope I remember. Feeling shaky!

x + 5 > 7

• x > -2

• x > 2

• x > 12

• x > -12

r - 14 ≥ 17

• r ≥ 3

• r ≥ -31

• r ≥ 31

• r ≥ -3