1-Step: Equations and Inequalities

Equations and Inequalties

By Courtney Tout

Multiple Choice

When we talk about solving equations - we talk a lot about undoing what is happening in the problem. Select the answer choices that shows the correct operation and its inverse:

• Add <> Multiply

  Subtract <> Divide

• Add <> Divide

  Multiply <> Subtract

• Add <> Subtract

  Multiply <> Divide

• Add <> Subtract

  Divide <> Zero Pairs

GOAL: Get the variable by itself.

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Step 1: Identify what is happening to the variable

Step 2: Use the inverse to solve​

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+ <-> -

x <-> ÷​

Solving One Step Equations

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Multiple Choice

x - 10 = 20

• x = 20/10
• x = 20
• x = 10
• x = 30

Multiple Choice

x + 8 = 15

• x = 23
• x = 7
• x = 120
• x = 15/8

Multiple Choice

5 n = 30

• n = 150
• n = 25
• n = 5
• n = 6

Multiple Choice

13 + y = 20

• y = 13
• y = 33
• y = 7
• y = 20/13

Multiple Choice

n - 4 = 12

• n = 16
• n = 8
• n = 4/12
• n = 12/4

Multiple Choice

6 y = 42

• y = 7
• y = 6
• y = 36
• y = 48

Multiple Choice

$$\frac{1}{2}$$   n = 10

• n = 10
• n = 5
• n = 20
• n = 12

Multiple Choice

8 - n = 12

• x = 4
• x = 20
• x = - 4
• x = -20

Multiple Choice

$$\frac{y}{3}$$   = 8

• y = 3/8
• y = 8/3
• y = 24
• y = 83

Multiple Choice

Solve the equation: -5x = 25

Use correct Integer Rules

• x = 20
• x = -20
• x = -5
• x = 5

Solving inequalities is the same ​as solving Equations.

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The ONLY difference is when you multiple or divide by a negative then you flip the sign.​

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​Some text here about the topic of discussion.

​One Step Inequalities

Multiple Choice

Will the following inequality require you to FLIP the sign

0.5x > 10

• No, because the coefficient is positive

• Yes, because the coefficient is a decimal

Multiple Choice

Will the following inequality require you to FLIP the sign

$$\frac{m}{-6}$$  < 10

• No, because fractions can't be negative.

• Yes, because you will have to multiply by -6.

Multiple Choice

y + 7 ≥ 12

• y ≥ 5
• y ≤ 5 
• y ≥ 19 
• y ≤ 19

Multiple Choice

y − 10 > 14

• y > 24
• y < 24
• y > 4
• y < 4

Multiple Choice

-4 + y < -8

• y < 4
• y < -12
• y < -4
• y < 12

Multiple Choice

r - 14 ≥ 17

• r ≥ 3
• r ≥ -31
• r ≥ 31
• r ≥ -3

Multiple Choice

Solve
8x < 48

• x < -6
• x > -6
• x < 6
• x > 6

Multiple Choice

Solve

• z≤1
• z>9
• z≤9
• z<9

Multiple Choice

Solve 

• a≤1
• a≤25
• a>1
• a<25

​Graphing Inequalities

Multiple Choice

When you graph an inequality, you use a open dot when you use which symbols?

• ≤, ≥ 
• <, >
• ≤, <
• ≥, >

Multiple Choice

When you graph an inequality, you use a closed dot when you use which symbols?

• ≤, ≥ 
• <, >
• ≤, <
• ≥, >

Multiple Choice

What inequality does the number line graph represent?

• x > 5
• x < −5
• x ≥ 5
• x ≥ −5

Multiple Choice

Match the graph with its inequality.

• a > 11
• a < 11
• a ≥ 11
• a ≤ 11

Multiple Choice

Match the graph with its inequality.

• a > 11
• a < 11
• a ≥ 11
• a ≤ 11

Multiple Choice

Would you use a closed or open circle to graph
x < 3?

• Closed
• Open

Multiple Choice

When graphing b< 6 would you use an open or closed circle?

• Open
• closed

Multiple Choice

When graphing  c=12, would you use an open or closed circle?

• Open, because the number is not included in the answer

• Closed, because the number is included in the answer

Multiple Choice

When do you "flip the inequalities sign"?

• When you add or subtract a negative

• When it's a 1-step problem

• When you multiply or divide a negative

• When it's a 2-step problem