One Step Equations

One Step Equations

Objective: Solve one step equations for the independent value.

Model one step equations in real world context.

Example 1: Given the input, x.

• Ryan earns $12 per hour working at the sub shop. His earnings can be represented by f(x) = 12x.

• Evaluate f(8).

• f(8) = 12(8)

• f(8) = 96

• If Ryan works 8 hours he will earn $96.

Fill in the Blanks

Ryan earns $12 per hour working at the sub shop. His earnings can be represented by f(x) = 12x.

Evaluate f(5).

If Ryan works for 5 hours, he will earn

dollars.

Fill in the Blanks

Ryan earns $12 per hour working at the sub shop. His earnings can be represented by f(x) = 12x.

Evaluate f(10).

If Ryan works for 10 hours, he will earn

dollars.

Example 2: Given the input, x.

• Sarah earns $11 per hour working at the local mall. Her earnings can be represented by f(x) = 11x.

• Evaluate f(20).

• f(20) = 11(20)

• f(20) = 220

• If Sarah works for 20 hours, she will earn $220.

Fill in the Blanks

Sarah earns $11 per hour working at the local mall. Her earnings can be represented by f(x) = 11x.

Evaluate f(30).

If Sarah works for 30 hours, she will earn

dollars.

Fill in the Blanks

Sarah earns $11 per hour working at the local mall. Her earnings can be represented by f(x) = 11x.

Evaluate f(15).

If Sarah works for 15 hours, she will earn

dollars.

Example 3: Given the output, f(x).

• Ryan earns $12 per hour working at the sub shop. His earnings can be represented by f(x) = 12x.

• Suppose we know he earned $300. How many hours did he work?

• We know f(x) = 300. Substitute 300 for f(x).

• 300 = 12x

•  $\frac{300}{12}=\ x$  
    

•  $x\ =\ 25\ hours$  

Fill in the Blanks

Ryan earns $12 per hour working at the sub shop. His earnings can be represented by f(x) = 12x.

Solve for x when f(x) = 264.

Ryan earns $264 when he works

hours.

Fill in the Blanks

Ryan earns $12 per hour working at the sub shop. His earnings can be represented by f(x) = 12x.

Solve for x when f(x) = 420.

Ryan earns $420 when he works

hours.

Example 4: Given the output, f(x).

• Sarah earns $11 per hour working at the local mall. Her earnings can be represented by f(x) = 11x.

• Suppose we know he earned $132. How many hours did she work?

• We know f(x) = 132. Substitute 132 for f(x).

• 132 = 11x

•  $\frac{132}{11}=\ x$  
    

•  $x\ =\ 12\ hours$  

Fill in the Blanks

Sarah earns $11 per hour working at the local mall. Her earnings can be represented by f(x) = 11x.

Solve for x when f(x) = 187.

Sarah earns $187 when she works

hours.

Fill in the Blanks

Sarah earns $11 per hour working at the local mall. Her earnings can be represented by f(x) = 11x.

Solve for x when f(x) = 352.

Sarah earns $352 when she works

hours.

Multiple Choice

Solve:

 $x+7=12$  

• x=19

• x=5

• x=1.71

• x=84

Multiple Choice

Solve:

 $x+6=17$  

• x=11

• x=102

• x=2.83

• x=23

Multiple Choice

Solve:

 $x-1=13$  

• x=14

• x=-13

• x=12

• x=14

Multiple Choice

Solve:

 $4=x+2$  

• x=6

• x=8

• x=2

• x=-2

Multiple Choice

Solve:

 $2x\ =\ 10$  

• x=0.5

• x=5

• x=8

• x=20

Multiple Choice

Solve:

 $\frac{x}{3}=7$  

• x=10

• x=4

• x=2.3

• x=21

Multiple Choice

Solve:

 $x+2=0$  

• x=2

• x=-2

• x=0

• x=20

Multiple Choice

Solve:

 $x-10=-2$  

• x=8

• x=-12

• x=-8

• x=20

Multiple Choice

Solve:

 $x+10=5$  

• x=2

• x=15

• x=5

• x=-5

Multiple Choice

Solve:

 $7+x\ =\ 17$  

• x=-10

• x=10

• x=119

• x=2.42

Multiple Choice

Solve:

 $5x\ =\ -25$  

• x=-30

• x=30

• x=-5

• x=-125

Multiple Choice

Solve:

 $-3x\ =\ 27$  

• x=-9

• x=-30

• x=30

• x=-0.11

Multiple Choice

Solve:

 $4x\ =\ 64$  

• x=16

• x=60

• x=68

• x=-60

Multiple Choice

Solve:

 $\frac{x}{2}=6$  

• x=3

• x=8

• x=12

• x=0.66

Multiple Choice

Solve:

 $-\frac{x}{7}=-2$  

• x=-14

• x=14

• x=12

• x=0.66

Multiple Choice

Solve:

 $-\frac{x}{2}=12$  

• x=10

• x=-6

• x=14

• x=-24

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